The moment of inertia of the pendulum about the pivot point is 0.385 kgm2.
A physical pendulum in the form of a planar object moves in simple harmonic motion when it oscillates about a pivot point, and the frequency of oscillation is determined by the moment of inertia of the pendulum about the pivot point.
The frequency of oscillation of the pendulum is given as 0.450 Hz. The moment of inertia of the pendulum I can be calculated using the equation:
[tex]I= ML^{2}[/tex]
where m is the mass of the pendulum and L is the distance from the pivot point to the center of mass.
In this case, the mass of the pendulum is 2.20 kg and the distance from the pivot point to the center of mass is 0.350 m, so the moment of inertia is:
[tex]I=(2.20)(0.350)^{2} \\0.385 Kgm^{2}[/tex]
So, the moment of inertia of the pendulum about the pivot point is
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Cart 1 is 6 kg and traveling at 3 m/s to the right. It collides with cart 2, which is 4 kg and traveling 4 m/s to the left. After the collision, cart 1 is moving at 4 m/s to the left. What is the velocity of cart 2?
The velocity of cart 2 will be 2.5m/s
Explain collision
A collision is a brief interaction between two or more bodies that modifies their motion due to internal forces acting between them. the forces at work during collisions (there is a change in velocity).
Primary collision types include the following: Elastic collisions: Both momentum and kinetic energy remain constant. Only momentum is conserved during inelastic collisions. The kinetic energy is lost in collisions that are perfectly inelastic, causing the objects to stick together after the collision.
Before collision :
m1 = 6kg
v1 = 3m/s
p1 = m1v1 = 3*6 = 18kg*m/s
m2 = 4kg
v2 = 4m/s
p2 = m2v2 = 4*4 = 16kg*m/s
Δp1 = p1 + p2
After collision :
m1 = 6kg
v1 = 4m/s
p1 = m1v1 = 6*4 = 24kgm/s
m2 = 4kg
v2 =?
p2 = m2v2 = 4*v2 kgm/s
Δp2 = p1 + p2
We know Δp1 = Δp2
So, 18 + 16 = 24 + 4v2
4v2 = 34-24 = 10
v2 = 10/4 = 2.5m/s .
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An aluminum rod is 20. 0 cm long at 20°C and has a mass of 350 g. If 10 000 J of energy is added to the rod by heat, what is the change in length of the rod?
Linear expansion refers to the increase in length of a material as its temperature increases. It is typically measured as the change in length per unit length per degree of temperature change. the answer change in length of the rod is approximately 0.014 cm.
This effect is caused by the thermal motion of the atoms or molecules in a material, which increases as the temperature increases. Linear expansion is typically a small effect, but can be significant in certain applications, such as in the construction of bridges or buildings.The change in length of the rod can be calculated using the equation for linear expansion:
ΔL = L0 * α * ΔT
Where:
L0 = initial length (20.0 cm)
α = coefficient of linear expansion for aluminum (about 2.5 x 10^-5 /°C)
ΔT = change in temperature (can be calculated by using the heat added, mass, and specific heat capacity of aluminum)
First we need to calculate ΔT, we know that c(Aluminum)= 0.90 J/g °C
ΔT= Q / (m * c)where:
Q = heat added (10000 J)
m = mass of the rod (350 g)
c = specific heat capacity of aluminum (0.90 J/g °C)
Substituting the values we have,
ΔT = 10000 J / (350 g * 0.90 J/g °C) = 28.57142857142857 °C
Now we can find the change in length,
ΔL = L0 * α * ΔT = 20.0 cm * 2.5 x 10^-5 /°C * 28.57142857142857 °C = 0.014 cm
So the change in length of the rod is approximately 0.014 cm.
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if you have two resistors, r1 and r2, connected in parallel. what is the maximum equivalent resistance possible?
If you have two resistors r1 and r2, connected in parallel, then the maximum equivalent resistance is approximately equal to the smallest value of r1 and r2.
Suppose we have two resistors r1 and r2, connected in parallel, then its equivalent resistance is:
1/r = 1/r1 + 1/r2
Notice that since it is a reciprocal equality, the maximum possible r will occur when one of 1/r1 or 1/r2 is equal to zero.
Let's assume 1/r2 = 0, then r = r1.
1/r2 = 0 will never be achieved, but for very large r2, we can expect:
1/r2 ≈ 0
It means, the possible maximum equivalent resistance is approximately equal to the smallest value of r1 and r2.
Example:
r1 = 2 Ohm, r2 = 10000 Ohm
1/r = 1/2 + 1/10000
1/r = 5001/10000
r = 10000/5001 = 1.999 ≈ 2 Ohm ( which is approximately equivalent to r1)
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if the solar system was the size of a basketball how far away would the closet star be the closest sun be
The closest star to the Sun is Proxima Centauri, which is about 4.24 light-years away from the Sun. If the Solar System was the size of a basketball, Proxima Centauri would be about 7,967,077,874,073.7 miles away.
That means that Proxima Centauri would be about 5,305,000 times farther away from the Solar System than it is in reality. To put this in perspective, light travels at 186,000 miles per second. It would take Proxima Centauri's light over 8 years to reach the Solar System if it was the size of a basketball. That's over 3 thousand times longer than it would take in reality!
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. In a railroad yard, a train is being assembled. An empty boxcar, coasting at 3.0 m/s, strikes a
loaded car that is stationary, and the cars couple together. Each of the boxcars has a mass of 9000
kg when empty, and the loaded car contains 55,000 kg of lumber. what is
the final velocity
The final velocity of the two coupled cars is 1.2 m/s.
What is the final velocity of the two coupled cars?The final velocity of the two coupled cars when the empty boxcar strikes the loaded car is determined by the conservation of momentum.Momentum is defined as the product of mass and velocity and is conserved in an isolated system. Since the system of the two cars is considered isolated, the total momentum before the collision is equal to the total momentum after the collision.The total momentum before the collision is equal to the momentum of the empty boxcar. The momentum of the empty boxcar is equal to 9000 kg multiplied by 3.0 m/s, which is 27000 kg m/s.The total momentum after the collision is equal to the sum of the momentum of the loaded car, which is 55000 kg multiplied by 0 m/s, and the momentum of the two coupled cars.The final velocity of the two coupled cars is determined by solving for the velocity in the equation 27000 kg m/s = (9000 + 55000) kg multiplied by v, with v being the final velocity of the two coupled cars. The final velocity of the two coupled cars is equal to 2.4 m/s.To learn more about The final velocity refer to:
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a load of laundry consisting of cotton socks is placed in the dryer. an acrylic sock was accidently left in the dryer from the previous load. after the socks are dried, the socks are all charged with static electricity. what method of charging happened in the dryer.
The cotton socks are made of a natural material and the acrylic sock is made of synthetic material. When the socks are tumbled around in the dryer, the friction between the different materials causes electrons to transfer from the acrylic sock to the cotton socks. As a result, the cotton socks become negatively charged and the acrylic sock becomes positively charged. The static electricity observed is the result of the buildup of these opposite charges on the different materials.
What are Electrons?Electrons are subatomic particles that carry a negative electric charge. They are found outside the nucleus of an atom, in the electron cloud or electron shell. Electrons are much lighter than the protons and neutrons that make up the nucleus of an atom, and they are negatively charged, while protons carry a positive charge.
The behavior of electrons is described by quantum mechanics. They occupy specific energy levels or orbitals around the nucleus of the atom, and their movement and behavior are governed by the laws of quantum mechanics.
Electrons are the fundamental building blocks of the atomic and subatomic world, which play a crucial role in the behavior and properties of matter.
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10. Two students push a 100kg cart from rest up a gentle hill at a constant rate
of 2 m/s how much work was done by the students at the time they reached a
point on the hill 3m above where they began.
After 10 seconds, the final speed is 32 m/s.After 10 seconds, the displacement is 170 m.
How to determine the final velocity ?After 10 seconds, the object's final velocity can be calculated as follows:
Initially traveling at 2 m/s
a = 3 m/s for acceleration
Time (t) equals ten seconds.
Final velocity (v) =
v = u + at
v = 2 + (3 × 10)
v = 2 + 30
v = 32 m/s
Consequently, the object's terminal velocity is 32 m/s.
2. Methods for calculating displacement
After 10 seconds, the object's displacement can be calculated as follows:
Initial speed (u) equals 2 m/s
Final speed (v) is 32 m/s.
The speed of sound is 3 m/s2.
Relocation (s) =
v² = u² + 2as
32² = 2² + (2 × 3 × s)
1024 = 4 + 6s
assemble similar terms
1024 - 4 = 6s
1020 = 6s
6 divided by both sides
s = 1020 / 6
s = 170 m
The displacement is 170 m as a result.
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A child with kwashiorkor has a swollen belly appearance due to:
a. Not eating enough protein to synthesize proteins needed to maintain fluid balance or transport fat from the liver.
b. Not eating enough protein to maintain lean body mass.
c. Eating too much starchy gruel.
d. Eating too many fatty foods
The correct option: a. Not eating enough protein to synthesize proteins needed to maintain fluid balance or transport fat from the liver.
Explain the causes for the kwashiorkor?Kwashiorkor is a nutritional condition most frequently observed in areas undergoing famine. It is also known as "edematous malnutrition" due to its relationship with edoema (fluid retention).
It is a type of malnutrition brought on by a diet low in protein. All body parts of those with kwashiorkor are often exceedingly emaciated, with the exception of their ankles, toes, and bellies, which expand with fluid.Kwashiorkor is brought on by a diet that is deficient in protein.This continuous cell regeneration occurs in a healthy human organism. Additionally, protein is crucial for growth during pregnancy and youth. Lack of protein will cause the body to start shutting down its regular processes, including growth, and kwashiorkor may appear.Thus, a child with kwashiorkor will appear to have a bloated stomach as a result of: Not consuming enough protein to create the proteins required to keep the body's fluid balance or move fat from the liver.
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what is the magnitude, in meters per squared second, of the acceleration of the jet as it accelerates along the deck?
With a=11.43 m/s2, option 4 is the proper response. The airplane accelerates to 160+ mph in less than two seconds during a catapult launch.
What is the most straightforward explanation of acceleration?The speed about which velocity decreases is known termed accelerating. Acceleration typically indicates that the speed is changing, but not necessarily. An item that is moving in a circle while maintaining a constant speed is still accelerating because the direction of its motion is shifting.
What are two instances of acceleration?An object's velocity may alter depending on whether it is moving faster, slower, or in a different direction. The moon orbiting the earth and an apple falling to the ground are two instances of acceleration.
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A positively charged rod is brought near one end of an uncharged metal bar. The end of the metal bar farthest from the charged rod will be charged
positive.
negative.
neutral
The end of the metal bar farthest from the positively charged rod will be negatively charged.
What is the initial charge of the metal bar before the rod is brought near?
The initial price of the metal bar earlier than the rod is delivered near is uncharged. That is specific inside the trouble assertion, wherein it's far said that the steel bar is uncharged before the undoubtedly charged rod is brought close to. The steel bar is taken into consideration as a impartial item earlier than the creation of the charged rod. It method that the wide variety of protons and electrons inside the metallic bar are identical, so there's no internet rate. Therefore, the initial price of the steel bar earlier than the rod is brought close to is uncharged.
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what is the transition from ocean to cloud
Answer:
In Explanation
Explanation:
The transition from ocean to cloud refers to the process by which water vapour in the ocean rises and condenses into clouds. This process is known as evaporation and is a key component of the water cycle.
Evaporation occurs when the sun's energy heats the surface of the ocean, causing water molecules to gain enough energy to escape into the atmosphere as water vapour. As the water vapour rises, it cools and condenses into tiny droplets, which form clouds. The clouds can be made of water droplets or ice crystals, and they can be observed in the sky in different forms, such as stratus clouds, cumulus clouds, and cirrus clouds.
This process is important for the climate and weather, as clouds play a critical role in regulating the Earth's temperature by reflecting and absorbing solar radiation. Clouds also affect precipitation, as the droplets or crystals in the clouds grow and fall as rain or snow. The transition from ocean to the cloud is also important for the water cycle as precipitation, either in form of rain or snow, replenishes the water in the oceans and rivers.
In summary, the transition from ocean to the cloud is the process by which water vapour in the ocean rises and condenses into clouds, known as evaporation, and is a key component of the water cycle. This process is important for the climate and weather, as clouds play a critical role in regulating the Earth's temperature and affecting precipitation, and replenishing the water in the oceans and rivers.
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You are pushing a book across a desk with a constant velocity. What are the forces acting on the book and in what direction? Are the y-forces equal in magnitude, why or why not? Are the x-forces equal in magnitude, why or why not? Explain using Newton’s Second Law. If you push on the book, according to Newton’s Third Law of Motion, what is the equal and reactive force?
When you are pushing a book across a desk with a constant velocity, there are two forces acting on the book: friction and the force of your push.
The force of friction acts in the opposite direction to the motion of the book and opposes the motion of the book. The force of friction is caused by the interaction between the bottom surface of the book and the surface of the desk.
The force of your push acts in the same direction as the motion of the book and causes the book to move.
The y-forces on the book are not equal in magnitude, as there is only one force acting in the y-direction, which is the force of friction. The x-forces are also not equal in magnitude, as there is one force acting in the x-direction, which is the force of your push.
According to Newton's Second Law, the force acting on an object is equal to the mass of the object multiplied by its acceleration. In this case, since the book is moving with a constant velocity, the forces acting on the book are balanced, and the net force on the book is zero.
According to Newton's Third Law of Motion, for every action, there is an equal and opposite reaction. So, when you push on the book, the equal and opposite force is the force exerted by the book on your hand.
Answer:
The book is being pushed from the side meaning there are horizontal forces at work. The first is an applied force, the second is a force of friction against the motion. Since the book is moving at a constant velocity, the book is not accelerating. This means that the forces must be balanced.
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a tennis ball is struck horizontally from a height of 1 m. with this information alone, can we find how long the ball stayed airborne?
We cannot find how long the tennis ball that is struck horizontally from a height of 1 meter will stay airborne with the information given.
To determine the time of flight, we would need additional information such as the initial velocity of the ball, the angle at which it was struck, and the drag coefficient of the ball.
The horizontal component of velocity does not change under the influence of gravity alone, so we can't use it to determine how long the ball stays in the air. Also, we need to know the angle of launch and the drag coefficient of the ball to calculate the time of flight.
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How much power is used if a truck does 50 joules of work in 10 seconds to tow a car?
The truck does 50 joules of work in 10 seconds, so the power used is 5 Watts (W) i.e, 5J/s (Joules per second) .
Evaluating power :The truck does 50 joules of work in 10 seconds, so the power used is:
Power = 50J/10s = 5J/s (Joules per second)
= 5 Watts (W)
It is important to note that the power is a scalar quantity and its unit is Joules per second (J/s) or watts (W).
Alternatively, you can derive power in terms of force and velocity as well as P=F × v.
What is Power?Power is a measure of the rate at which work is done. It is the amount of energy that is used over time. It is a scalar quantity and it has units of Joules per second (J/s) or Watts (W). Work is defined as the transfer of energy from one place to another or the transfer of energy from one system to another. Power is a measure of how fast that work is being done. For example, if a machine does a lot of work in a short amount of time, it has a high power rating.
Power can be calculated by using the formula:
Power = Work / Time
Where Work is the amount of energy that is transferred and Time is the amount of time over which the work is done.
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The metal wing of an airplane acts like a ""wire"" flying through Earth’s magnetic field. A voltage is induced between the wing tips, and a current flows along the wing, but only for a short time. Why does the current stop even though the airplane continues flying through Earth’s magnetic field?
The current stop even though the airplane continues flying through Earth’s magnetic field because of Lenz's Law and the function of diode.
The current stops flowing even though the airplane continues flying through Earth's magnetic field because the current generates its own magnetic field that opposes the external magnetic field that induced it. This opposing magnetic field is known as Lenz's Law, which states that the direction of induced current is always such as to oppose the change in magnetic flux that causes it. As the current flows along the wing, it creates a magnetic field that opposes the external magnetic field. This opposing magnetic field reduces the external magnetic field, which then reduces the induced voltage, and thus reduces the induced current. Eventually, the induced current reaches a point where it is no longer able to maintain a sufficient opposing magnetic field, and it stops flowing. Additionally, in airplane, there is also a device called diode which is used to rectify the induced alternating current(AC) to direct current(DC) and it only allows current to flow in one direction and stops the current flowing in the opposite direction, which also causes the current to stop flowing. In summary, the current stops flowing in the airplane's wing because of Lenz's Law and the function of diode.
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A block is on a surface with
is = 0. 325. It takes 4. 11 N to
break it free from static friction.
How much normal force acts
on the block?
(Unit = N)
The normal force acting on the block is 4.11N/0.325 = 12.68N.
Can you explain the difference between static friction and kinetic friction?
Static friction is the force that opposes to the motion of an object when it is at rest. It acts between two surfaces that are in contact and are not moving relative to each other. The force of static friction is always less than or equal to the limiting friction, and it is needed to move an object to overcome the static friction and start moving.
On the other hand, kinetic friction is the force that opposes to the motion of an object when it is in motion. It acts between two surfaces that are in contact and are moving relative to each other. The force of kinetic friction is always less than the static friction and it is needed to maintain the motion of an object. In general, the coefficient of kinetic friction is lower than the coefficient of static friction.
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The normal force acting on the block is 12.68N when block is on a surface with is = 0. 325. It takes 4. 11 N to break it free from static friction.
Evaluating :Surface = 0.325
force = 4.11 N
Static friction = 4.11N/0.325
= 12.68N.
Static friction :Static friction is the force that opposes to the motion of an object when it is at rest. It acts between two surfaces that are in contact and are not moving relative to each other. The force of static friction is always less than or equal to the limiting friction, and it is needed to move an object to overcome the static friction and start moving.
Kinetic friction :On the other hand, kinetic friction is the force that opposes to the motion of an object when it is in motion. It acts between two surfaces that are in contact and are moving relative to each other. The force of kinetic friction is always less than the static friction and it is needed to maintain the motion of an object. In general, the coefficient of kinetic friction is lower than the coefficient of static friction.
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what is the repulsivee electrical force between two protons 5.0*10^-15m apart from each other in an atomic nucleus?
The repulsive electrical force between two protons is 3.6 × 10³⁹ N. The result is obtained by using the formula for electrostatic.
What is the formula for electrostatic force?The formula for electrostatic force is
F = kq₁q₂/r²
Where
F = electrostatic force (N)k = Coulomb's constant (9 × 10⁹ Nm²/C²)q₁ and q₂ = charges (C)r = distance between the charges (m)Two protons are apart from each other in an atomic nucleus. The distance between them is 5.0 × 10⁻¹⁵ m.
Find the repulsive electrical force!
Proton has a charge of +1. So, the electrostatic force would be
F = kq₁q₂/r²
F = 9 × 10⁹(1)(1)/(5.0 × 10⁻¹⁵)²
F = (9 × 10⁹)/(2.5 × 10⁻³⁰)
F = 3.6 × 10³⁹ N
Hence, the two protos has repulsive electrical force of 3.6 × 10³⁹ N.
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a proton is placed at point a. the proton is then removed and an electron is placed at point b. what is the direction of the electric force ? give angle relative to x with ccw as positive. what is the direction of the electric force ? what is true of the magnitude of the two forces?
When a proton is removed from point A and an electron is placed at point B, the direction of the electric force will be from point B towards point A. The angle of this force relative to the x-axis would be 180 degrees, with counterclockwise as positive.
As the electron and proton have equal and opposite charges, the magnitude of the force between them will be the same as the magnitude of the force between the proton and the electron.
The magnitude of the force between the proton and electron can be determined by Coulomb's law, which states that the force is proportional to the product of the charges and inversely proportional to the square of the distance between them.
In other words, the magnitude of the two forces is equal, but the direction of the two forces is opposite.
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A mass on a string of unknown length oscillates as a pendulum with a period of 6. 6 s. Parts A to D are independent questions, each referring to the initial situation.
What is the period if the mass is doubled?
What is the period if the string length is doubled?
The time period is not depends on the mass. So even the mass is doubled its time period not changes. The period of a simple pendulum is given by the equation T = 2π√(L/g), where T is the period, L is the length of the pendulum, and g is the acceleration due to gravity.
A. In this equation, the mass does not appear, so doubling the mass of the pendulum does not affect the period. If the mass of the pendulum is doubled, the period of the pendulum will remain the same.
B. If the length of the pendulum's string is doubled, the period will also be doubled. The period of a simple pendulum is given by the equation T = 2π√(L/g),
where T is the period, L is the length of the pendulum, and g is the acceleration due to gravity. Doubling the length of the pendulum increases the length by a factor of 2, which increases the period by a factor of 2.
What is Pendulum?A pendulum is a weight suspended from a pivot so that it can swing freely. The weight, also known as a bob, is the object that oscillates (moves back and forth) under the influence of gravity. Pendulums can be used to measure time, as in the case of a grandfather clock, or as a simple device to demonstrate harmonic motion.
The force acting on the pendulum is gravity, which is pulling the bob downward. This force is opposed by the tension in the string or rod that is holding the bob. The bob has kinetic energy when it is moving, and potential energy when it is at the highest or lowest point of its swing. As the bob swings back and forth, its kinetic and potential energy are constantly changing.
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a rifle with a weight of 30.0 n fires a 5.0-g bullet with a speed of 300 m/s. (a) find the recoil speed of the rifle. (b) if a 700-n man holds the rifle firmly against his shoulder, find the recoil speed of man and rifle.
The recoil speed of man and rifle are 0.05 m/s and 0.0021 m/s .
(a) The recoil speed of the rifle can be found using the law of conservation of momentum. The momentum of the bullet is equal to the momentum of the rifle and the man.
Momentum of the bullet = mv = (5.0 g)(300 m/s) = 1.5 kg·m/s
Momentum of the rifle = (30.0 n)(v)
Therefore, v = 1.5 kg·m/s ÷ 30.0 n = 0.05 m/s
The recoil speed of the rifle is 0.05 m/s.
(b) The total momentum of the man and the rifle is equal to the momentum of the bullet.
Momentum of the man and rifle = mv = (700 n)(v)
Therefore, v = 1.5 kg·m/s ÷ 700 n = 0.0021 m/s
The recoil speed of the man is 0.0021 m/s.
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Two balls of unequal mass traveling at different speeds collide head-on and rebound in opposite
directions.
1) How does the force that ball A exerts on ball B compare to the force that ball B exerts on ball A?
2) How do the impulses received by both balls compare?
3) How do the sums of the momenta of the balls before and after the collision compare?
Can someone please answers these for me i need help.
Any incident where two or more bodies exert forces on each other quickly is referred to be a collision in physics.
When two objects collide Which of these is are true?TRUE - Any time two things collide, they apply an equal and opposing amount of force to one another. Simple Newton's law of action-reaction, this.Concussion, impact, and shock are a few typical synonyms for collision. Despite the fact that all of these phrases refer to "a forceful, even violent contact between two or more things," collision means the coming together of two or more things with such force that both or all of them are harmed or their progress is significantly hampered.According to Newton's third law, the force exerted by one marble on the other during a collision is equal in magnitude and directed in the opposite direction. The acceleration of the balls during the impact is determined by Newton's second law since the masses of the balls are equal.To learn more about collision refer to:
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a car, on a straight road, is stopped at a traffic light. when the light turns to green the car accelerates with a constant acceleration. it reaches a speed of 23.7 m/s (85.3 km/h) in a distance of 146 m. calculate the acceleration of the car.
The acceleration of the car is 146.3 m/s². The result is obtained by using the formula for acceleration.
What is acceleration?Acceleration is the rate of change in velocity of an object with respect to time. It can be expressed as
[tex]\bar{a} = \frac{\Delta v}{\Delta t}[/tex]
Where
a = accelerationΔv = change in velocityΔt = change in timeA car stopped and moves with a constant acceleration. It means that the car moves from rest. We have
Initial speed, v₁ = 0Final speed, v₂ = 23.7 m/sDistance, Δx = 146 mThe change in time is
Δt = Δv/x
Δt = (v₂ - v₁)/Δx
Δt = (23.7 - 0)/146
Δt = 0,162 s
The acceleration of the car would be
[tex]\bar{a} = \frac{\Delta v}{\Delta t}[/tex]
[tex]\bar{a} = \frac{23.7 - 0}{0.162}[/tex]
[tex]\bar{a} = 146.3 m/s^{2}[/tex]
Hence, the car has an acceleration of 146.3 m/s².
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1/15 - 1/10 = 1/di
focal length is 15 and distance of object is 10. what is the distance of the image?
The distance of the image, given that the focal length is 15 cm and the object has a distance of 10 cm is -30 cm
How do I determine the distance of the image?The relationship between focal length, object and image distance is given by the following mirror formula:
1/f = 1/v + 1/u
Where
f is the focal length v is the image distanceu is the object distanceUsing the above formula, we can obtain the distance of the image as illustrated below:
Focal length (f) = 15 cmDistance of object (u) = 10 cmDistance of image (v) =?1/f = 1/v + 1/u
Rearrange
1/v = 1/f - 1/u
v = (f × u) / (u - f)
v = (15 × 10) / (10 - 15)
v = 150 / -5
v = -30 cm
Thus, we can conclude that the distance of the image is -30 cm
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Objects with masses of 232 kg and 538 kg are separated by 0.342 m. a 60.6 kg mass in placed midway between them. 538 kg 1232 kg 60.6 kg - 0.342 m. find the magnitude of the net gravitational force exerted by the two larger mnsses on the 60.6 kg mass. the value of the univorsal gravi tational constant is 6.672 × 10-in- m°/kg? answer in units of n 017.leaving che distance botron the 242 kg and che 538 koenasses fixed. at what distarco from the sas ke mass fother than tahinitely remote once) does the 60.6 ka mass experienco a net fored of pay?
No net force is experienced. To find the magnitude of the net gravitational force exerted by the two larger masses on the 60.6 kg mass, we can use the equation for gravitational force.
Gravitational force equation:
F = G * (m1 * m2) / r^2
Where F is the gravitational force, G is the universal gravitational constant, m1 and m2 are the masses of the two objects, and r is the distance between them.
In this case, m1 = 232 kg, m2 = 538 kg and r = 0.342 m.
So, F = G * (232 kg * 538 kg) / (0.342 m)^2
Plugging in the values, we get:
F = 6.672 x 10^-11 N*(m^2)/(kg^2) * (232 kg * 538 kg) / (0.342 m)^2
The magnitude of the net gravitational force exerted by the two larger masses on the 60.6 kg mass is 0.092 N.
To find the distance at which the 60.6 kg mass experiences a net force of zero, we can use the equation for the gravitational force between two masses. Since the force is inversely proportional to the square of the distance between the masses, we can set the force to zero and solve for the distance.
F = G * (232 kg * 60.6 kg) / (r)^2 = 0
r = √((232 kg * 60.6 kg) / (G))
r = √((232 * 60.6) / (6.672 * 10^-11))
r = 2.36*10^-5 m
At this distance, the 60.6 kg mass experiences no net force from the two larger masses, as the gravitational force exerted by the 232 kg mass balances out the gravitational force exerted by the 538 kg mass.
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Find the magnitude of the velocity of the of the chain when 5. 58 m of the chain is hanging vertically. Answer in units of m/s
The magnitude of the velocity of the of the chain when 5.58m of the chain is hanging vertically is 10.46m/s.
Given the length of chain (s) = 5.58m
We know that from Newtons second law of motion :
v^2 = u^2 + 2gs where v is the final velocity, u is the initial velocity and g is the acceleration due to gravity.
Here u = 0m/s as the chain is at rest initially.
So, v^2 = 0 + 2 x 9.8 x 5.58
v^2 = 109.368
v = √109.368 = 10.46m/s
Hence the magnitude of the velocity of the of the chain = 10.46m/s.
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How many joules of solar energy fall on your back as you work on your tan for 1. 5 h ? express?
It is not possible to determine the exact amount of solar energy in joules that falls on an individual's back while they are sunbathing without additional information such as the individual's location, the time of day, and weather conditions.
How does the duration of time spent tanning affect the amount of solar energy absorbed by a person's skin?The duration of time spent tanning directly affects the amount of solar energy absorbed by a person's skin. The longer a person is exposed to the sun, the more solar energy their skin absorbs. This is because the skin's melanin production increases as it is exposed to the sun's UV rays for longer periods of time. Additionally, the amount of solar energy that reaches the skin's surface increases with longer exposure as the sun's position in the sky changes. It is important to note that prolonged sun exposure can also increase the risk of skin damage and skin cancer. Therefore, it is recommended to limit sun exposure and use sunscreen to protect the skin.
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A 1.68 x 10-15 N oil drop is suspended between two oppositely-charged parallel plates. The plates are 4.0 cm apart and there is a potential difference of 140 V between them. The top plate is positive and the bottom plate is negative.
a) Sketch the electric field between the plates.
b) Calculate the magnitude of the electric field between the plates.
c) Determine the charge on the oil drop. Include the SIGN.
d) How many electrons is this charge composed of?
A magnetic field is created between these two charged parallel plates. The field indicates a direction from the positive plate to the negative plate.
What is a positively charged plate?Protons are in excess on a positively charged metal plate. From the electron's point of view, a positively charged aluminium.The force acting on a positively charged test particle is considered to constitute the definition of the field's direction. Positive charges always gravitate away from other positive charges and in the direction of negative charges.The separator, which is made of polyethylene, divides the positive and negative plates to allow for an effective flow of electrical current.The density of surface charges on a negatively charged plate is 2 x 10-6 C/m2. The least initial distance that an electron must travel if it is travelling toward a plate with 200 eV of energy but cannot strike the plate is: 1,77 mm, 3,51 mm, and 1,77 cm, 3,51 cm.To learn more about parallel refer to:
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a photoelectric experiment is performed by separately shining a laser at 450 nm (blue light) and a laser at 560 nm (yellow light) on a clean metal surface. assume that each laser is above the threshold frequency and delivers the same number of photons per second. a. which laser will eject more electrons per second? b. which laser will eject electrons with greater kinetic energy? c. which laser will eject electrons with shorter de broglie wavelength?
The same amount of energy is delivered to the metal surface by each laser, then the yellow light must be of higher intensity than the blue light. The yellow light must generate more electrons. The blue light has a lower wavelength, then the ejected electrons must have a higher kinetic energy.
What is meant by electrons?
A negatively charged subatomic particle known as an electron can either be free or attached to an atom (not bound).One of the three main types of particles inside an atom, along with protons and neutrons, is an electron that is linked to the atom.The nucleus of an atom is made up of electrons, protons, and neutrons together.The negatively charged particles known as electrons revolve around the outside of the nucleus.For scientists, it can be challenging to monitor them because of how quickly they spin.The tiniest particles in an atom, you can put 2000 of them into a proton, they are drawn to the positive charge of the protons.To learn more about electron refer to
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What is the electric flux through one side of a cube that has a single point charge of -3. 80 µC placed at its center? Hint: You do not need to integrate any equations to get the answer.
? N·m^2/C
The electric flux through one side of a cube is found as -7.1 x 10⁴ V.m.
Explain the term Gauss's Law?According to Gauss's law, the enclosed charge is the only factor affecting the electric flux across a closed surface. Furthermore, no matter how the closed surface is shaped, the electric flux for a point charge remains constant.The equation is given by
ФE = q(int) / ∈₀
ФE = electric flux passing any of the surface
q(int) = charge enclosed by surface = -3. 80 µC
∈₀ = 8.85 x 10⁻¹² F/m (permittivity of free space)
Put the given values.
ФE = -3. 80 x 10⁻⁶ /8.85 x 10⁻¹² / 6 (for one surface of the cube)
ФE = -7.1 x 10⁴ V.m
Thus, the electric flux through one side of cube is found as -7.1 x 10⁴ V.m.
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50% part (a) how much time, in seconds, will it take for the police officer to catch up to the speeding car, assuming that the car maintains a constant speed?
The police officer will take 38.9 seconds to catch up to the speeding car, as assuming that the car maintains a constant speed.
The pace at which an object's velocity with regard to time changes is referred to as acceleration in mechanics. They are endogenous variables, accelerations. The direction of the total force exerted on an object determines the direction of its acceleration.
An object is considered to be moving at a constant speed whenever it covers relatively similar distance in the identical amount of time. When moving at a constant pace, an object covers a certain distance in a fixed amount of time. S = d t is a formula that can be used to express the speed.
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A car speeds past a stationary police officer while traveling 140 km/h. The officer immediately begins pursuit at a constant acceleration of 10.9 km/h/s, just as the driver passes her. A. How much time, in seconds, will it take for the police officer to catch up to the speeding car, assuming that the car maintains a constant speed?
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