The definition of moment of inertia allows for the following results for the moment of inertia with respect to each axis:
1-Iₓ = m r²
2-Iy=9m r²
3-Iz=10m r².
What exactly is moment interia?
The expression yields the moment of interia as a scalar quantity.
Sol-
I =∫ r² dm
Where I is the moment of inertia, m is the body's mass, and r is the distance from the axis of rotation.
In the case of point particles, the expression is as follows:
I = m r²
In this case, we calculate along each coordinate axis.
a) The distance is x = r with respect to the x axis, and the moment of inertia is
Iₓ = m r²
indicate the distance in relation to the y-axis
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A friend asks you how much pressure is in your car tires. You know that the tire manufacturer recommends 30 psi, but it’s been a while since you’ve checked. You can’t find a tire gauge in the car, but you just finished taking physics and so you tell your friend, "I don’t know, but I can figure it out." From the owner’s manual you find that the car’s mass is 1700 kg . It It seems reasonable to assume that each tire supports one-fourth of the weight. Using a ruler, you find that the tires are 16 cm wide and the flattened bottom segment of the tire is 15 cm long. Your observation of the tire tread pattern suggests that two-thirds of this segment is in actual contact with the road.
What answer—in psi—will you give your friend?
To calculate the pressure in the car tires, we can use the equation $P = \frac{F}{A}$, where $P$ is the pressure, $F$ is the force acting on the area, and $A$ is the area over which the force is applied. In this case, the force acting on the tire is the weight of the car, and the area is the portion of the tire that is in contact with the road.
First, we need to calculate the weight of the car. The weight of the car is given by the equation $W = mg$, where $m$ is the mass of the car and $g$ is the acceleration due to gravity. We are given that the mass of the car is 1700 kg, so the weight is $W = 1700 \text{ kg} \times 9.8 \text{ m/s}^2 = 16786 \text{ N}$.
Next, we need to calculate the force acting on each tire. Since the weight of the car is distributed evenly among the four tires, each tire supports one-fourth of the total weight, or $F = \frac{1}{4} \times 16786 \text{ N} = 4196.5 \text{ N}$.
Now we need to calculate the area of the tire that is in contact with the road. The width of the tire is 16 cm, and we are given that two-thirds of the flattened bottom segment is in contact with the road.
This means that the length of the segment in contact with the road is $\frac{2}{3} \times 15 \text{ cm} = 10 \text{ cm}$. The area of the tire in contact with the road is therefore $A = 16 \text{ cm} \times 10 \text{ cm} = 160 \text{ cm}^2$.
Finally, we can use the equation $P = \frac{F}{A}$ to calculate the pressure in the tires. Plugging in the values for the force and the area, we get
$$P = \frac{F}{A} = \frac{4196.5 \text{ N}}{160 \text{ cm}^2} = 26.2 \text{ Pa}$$
Since 1 psi is equivalent to 6894.757 Pa, the pressure in the tires is approximately
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according to this graph, the minimum size of an object that could cause a mass extinction is a little less than _____
According to this graph, the minimum size of an object that could cause a mass extinction is a little less than 10 km.
Answer is in the graph, min size of object that could cause a mass exinction is a little less than 10 km.
When a significant portion of biodiversity, such as separate species of bacteria, fungi, plants, mammals, birds, reptiles, amphibians, fish, or invertebrates, goes out during a brief period of geological time, this is referred to as a mass extinction. Impacts from comets and asteroids, extensive volcanism, climate changes,bacteria,abrupt shifts in the topography and ocean currents, or a combination of these elements may be the cause of mass extinction events. At least 75 percent of all species become extinct during major extinctions, which typically last three million years. Some experts think that, if things continue as they are, we may be able to remove that number within a few centuries.
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a student runs an experiment in which a block of known mass is moving across a horizontal table in an xy-coordinatexy-coordinate plane. as the block reaches the origin of the coordinate system, the block explodes into two pieces of masses m1m1 and m2m2. during the experiment, the velocity of the block 1.01.0 second before the explosion and the velocity of the two pieces 1.01.0 second after the explosion are measured using a motion sensor. conservation of momentum is applied using the masses of the two pieces. however, when the velocity of the piece of mass m2m2 is calculated, the measured value is 10% less than the calculated value. which of the following statements best explains the difference in the calculated and measured velocity?
Question is incomplete the complete question is:
A student runs an experiment in which a block of known mass is moving across a horizontal table in an xy-coordinate plane. As the block reaches the origin of the coordinate system, the block explodes into two pieces of masses m1 and m2. During the experiment, the velocity of the block 1.0 second before the explosion and the velocity of the two pieces 1.0 second after the explosion are measured using a motion sensor. Conservation of momentum is applied using the masses of the two pieces. However, when the velocity of the piece of mass m2 is calculated, the measured value is 10% less than the calculated value. Which of the following statements best explains the difference in the calculated and measured velocity?
A) As the block is moving across the table, friction will affect the block’s motion and thus could account for the difference.
B) It is possible that a small amount of the original block was lost during the explosion.
C) When the student did the calculation, the student assumed that the explosion occurred just as the block reached the origin. The difference in velocity could be due to the explosion occurring either just before or just after the origin.
D) The explosion created a force that affected the experiment.
E) Conservation of momentum is not the correct equation to apply to the explosion, since the two pieces apply forces to each other.
The correct explanation will be as the block is moving across the table, friction will affect the block’s motion and thus could account for the difference.
What is friction?
Moving things lose energy and slow down due to the friction force that resists their motion. A fluid, like air or water, exerts a frictional force on moving objects when they travel through it. A fluid's frictional force is referred to as a drag force.
Effect of friction on motion?
An opposing force to the relative motion of two objects is friction. You will be researching kinetic friction for this assignment (also called sliding friction). Kinetic friction is the process by which some of the kinetic energy of motion between two objects is transformed into heat. The same thing happens when two objects are sliding past one another-for example, when you push a box across the floor.
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A soccer ball is kicked horizontally. what is the average speed if its displacement is 21 m after 4 sec
When a soccer ball is kicked horizontally, then the average speed is calculated to be 5.25 m/s.
What is displacement?The term displacement means that an object has moved, or has been displaced. Change in position of an object is displacement. Standard unit of displacement in the International System of Units is meter. Displacement is usually measured along a straight line
Distance is a scalar quantity that refers to how much ground an object has covered during motion whereas displacement is a vector quantity that means how far out of place an object is.
Given displacement is 21m
and time = 4sec
Therefore average speed= 21/4
= 5.25 m/s
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a parallel rc circuit has a resistance of 470 ohms, a reactance of 330 ohms, and an applied voltage of 470 volts. solve for the impedance of the circuit by determining the branch currents and the total current. (round the final answer to one decimal place.) the values calculated for this question will be used for additional questions.
The impedance of the circuit is 193.9 ohms. The result is obtained by dividing the applied voltage by the total current.
What is the impedance of a parallel circuit?In a parallel RC (resistance and reactance) circuit, impedance can be expressed as
[tex]Z = \frac{RX_{c} }{\sqrt{R^{2} + X_{c}^{2} } }[/tex]
Z = V/I
Where
Z = impedanceR = resistanceXc = capacitive reactanceV = voltageI = total currentWe have:
R = 470 ohmsXc =330 ohmsV = 470 voltsThe impedance should be found by determining the branch currents and the total current.
The branch currents are
Ir = V/R = 470/470 = 1 A
Ic = V/Xc = 470/330 = 1.424 A
In the parallel circuit, the total current is
I = Ir + Ic = 1 + 1.424 = 2.424 A
By using the total current, the impedance is
Z = V/I
Z = 470/2.424
Z = 193.9 ohms
Hence, the impedance of the parallel RC circuit is 193.9 ohms.
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in comparing two unequal forces on a rigid body, is it possible to have the larger force produce less torque than the smaller force?
Yes, it is feasible for the larger force to induce less torque than smaller force when two unequal forces are applied to a rigid body.
What exactly is contact force?Objects making contact each other exert a force on one another known as contact force. The region of direct contact of two objects is where the contact force acts. This force may be brief in the guise of an impulse or it may be continuous as both a continuous force. Newton's Law covers contact force.
Briefing:Torque = rFsin(θ)
It is feasible for a larger force to generate less torque than a smaller force if it acts at a closer distance than that of the smaller force.
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what magnitude of current is required to produce 1.4 kg of sodium metal in one hour? express your answer in amperes to two significant figures.
Magnitude of current required is 1630 amp.
Current can be defined as the rate of flow of charge.
Since Faraday represents the magnitude of electric charge per mole of the electron
Mass can be given as:
mass = molar mass * faradays used/faradays needed
1 faraday = 1C/96500
Na + (aq) + e- -> Na(s) : one electron is transferred so faradays needed to produce 23.0g Na is 1
1.4kg*1000 = 1400g
1400g = 23.0g/mol * Fu/1f
Fu (faradays used) = Coulombs/96500 (faraday constant)
Fu = 60.9f=Q/96500
Q = 96500*60.9= 5.88*10^6
As we know that, Q = I*t
5.88*106= I*3600s(1h=60min=3600s)
I=1630amps
The current required to produce 1.4 kg of sodium metal in one hour is 1630 amperes.
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Question 8 of 25
**
force of friction and air resistance
normal contact force from the road
driving force from the engine
weight of the car
Hide score
The diagram below shows the different forces acting on a car. Which label below the diagram goes
with arrow A?
off
Reduce contrast
D
7✔ 100%
74%
1007
NICE
Answer:
Explanation:
The diagram shows four forces acting on a plane in flight. direction of flight. (b) (i). Which arrow represents air resistance?
study smarter the plutonium isotope 239pu has a half-life of 24,000 years and decays by the emission of a 5.2 mev alpha particle. plutonium is not especially dangerous if handled because the activity is low and the alpha radiation doesn't penetrate the skin. however, there are serious health concerns if even the tiniest speck of plutonium is inhaled and lodges deep in the lungs. this could happen following any kind of fire or explosion that disperses plutonium as dust.
Therefore, the number of ²³⁹Pu atoms in 1.0 mm diameter particle is 2.6*10⁷
The half-life of the is ²³⁹Pu=2400 yrs
The radius of soot particles is r =1*10⁻⁶m/0=0.5*10⁻⁶m
The density of Plutonium is ρ=19800kg/m³
The number of ²³⁹Pu atoms in a diameter particle is
N=(m/Ma)Na
=ρ4πr³Na/3Ma
Substitute the given values to get number of atoms in particle
N=19.8*4π*(0.5*10⁻⁶)³*6.02*10²³/3*239*10⁻³
=2.6*10⁷
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the left end of a long glass rod 9.00 cmcm in diameter, with an index of refraction 1.56, is ground and polished to a convex hemispherical surface with a radius of 4.50 cmcm . an object in the form of an arrow 1.49 mmmm tall, at right angles to the axis of the rod, is located on the axis 23.0 cmcm to the left of the vertex of the convex surface.Find the position and height of the image of the arrow formed by paraxial rays incident on the convex surface. Is the image erect or inverted?
S' = 14.77 cm height of image = 0.577 mm is the computed response. It is inverted because magnification is negative.
Where radius (R) is positive because it is facing the same direction as the refracted light, and index of refraction (n1) = 1 for air and index of refraction for glass (n2) = 1.60, object distance from vertex to spherical surface (s) is 24 cm, or 0.24 meters, and image distance from vertex to spherical surface (s') is 4 cm, or 0.04 meters.
Height of object = y = 1.5 mm = 0.0015 m Height of image = y'
For a spherical reflecting surface, the object-image formula is:
According to the magnifying formula:
It is inverted because magnification is negative.
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suppose identical amounts of heat transfer into different masses of mercury and water, causing identical changes in temperature. what is the ratio of the mass of mercury to water?
Assume that similar quantities of heat are transferred into various masses or mercury and water, resulting in equivalent temperature variations. Mercury's mass is 0.033 times that of water.
What makes Mercury so unique?Of such eight moons of jupiter, Mercury is the smallest and one that is closest to the Sun. Mercury completes three spins of its axis for each of the two circuits it makes around the Sun, so takes around 96 Earth days. This rotation is exclusive to the solar system and is gravitationally locked.
Briefing :According to the statement we have Mass of mercury = M(Hg), and
Mass of Water = M(H₂O)
M(cu) / M(H₂O) , heat transfer and mass are related as we have the formula : Q=mcΔT
according to the formula we have , Q(Hg) = M(Hg) C(Hg)ΔT(Hg)...........(1)
for water , Q(H₂O)= M(H₂O) C(H₂O)ΔT(H₂O)..............................(2)
therefore dividing by specific heat in the temperature = C T from both sides .
we Get : [tex]\frac{ Q(Hg)}{CT} =[/tex][tex]\frac{ M(Hg) C(Hg)ΔT(Hg)}{CT}[/tex] , [tex]\frac{Q(H2O) }{CT} =[/tex] [tex]\frac{C(H2O) Δ TH2O}{CT}[/tex]
∴ Q(Hg)=[tex]\frac{Q(Hg)}{Q(Hg)ΔT(Hg)}[/tex] , Q(H₂O)= [tex]\frac{ Q(H2O)}{C(H2O)ΔTH2O)}[/tex]
by solving we get = Q(Hg)/C(Hg)ΔT(Hg)/Q(H₂O) / C(H₂O)ΔT(H₂O)
= Q(Hg)/C(Hg)ΔT(Hg) × C(H₂O)ΔT(H₂O)/Q(H₂O)
= [tex]\frac{C(H2O)}{C(Hg)}[/tex]= M(Hg)/M(H₂O)
specific heat of water = 4184 J/kg
and specific heat of mercury = 139 J/kg
therefore we get 4184/139 = 0.033 ans or 3:100 in ratio
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6. A bird drops a feather from the roof of a 13.1 m tall building. The feather is blown
48.6 m west before falling to the ground. What is the resultant displacement of
the balloon?
The resultant displacement of the feather be 50.33 m.
What is displacement?
The term "displacement" refers to a shift in an object's position. It is a vector quantity with a magnitude and direction. The symbol for it is an arrow pointing from the initial location to the ending place.
For instance, if an object shifts from location A to position B, its position changes. Displacement is the term used to describe this shift in an object's position.
Given that: A bird drops a feather from the roof of a 13.1 m tall building. The feather is blown 48.6 m west before falling to the ground.
So, the resultant displacement of the feather be = √(13.1² + 48.6²) m = 50.33 m.
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a .50 kilogram puck is sliding on a horizontal shuffle board court is slowed to rest by a frictional force of 1.2 newtons what is the coeffivent of kinetic friction betweej the puck and the surface of the shuffle board court
The puck's kinetic friction coefficient only with shuffleboard court's surface is 0.24.
How does kinetic friction work?It is known as a force that exists between moving surfaces as kinetic friction. A force that operates in the opposing direction to the motion of a body on the surface is felt. The percentage of kinetic friction of the two materials will determine the size of the force.
Briefing:
Given ,The mass of puck is, m = 0.50 kg.
The magnitude of frictional force is, f = 1.2 N.
The force which tends to oppose the motion between an object and the surface is known as frictional force. And its value is,
F= μ × mg
here, is the coefficient of kinetic friction between the puck and the surface of the shuffleboard court.
Solving as ,
1.2 = u × 0.50 × 9.8
μ = [tex]\frac{1.2}{0.50 . 9.8}[/tex]
μ = 0.24
Thus, we can conclude that the coefficient of kinetic friction between the puck and the surface of the shuffleboard court is 0.24.
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True or False. When light passes from one medium to another the speed stays constat
When light passes from one medium to another the speed of the light changes. Therefore, the given statement is false.
What is refraction?Refraction takes place when the light travels from one medium to another medium it changes its speed. Refraction can be defined as the redirection of light as it passes from one medium to another.
The redirection of the light ray causes by the change in the speed of the wave or by a change in the medium. Refraction of light can be observed for sound waves and water also experiences refraction.
Refraction of light obeys Snell's law, according to which the ratio of the sines of the angle of incidence and angle of refraction must be equal to the ratio of the refractive indices of the two media.
[tex]{\displaystyle {\frac{Sin \theta_1}{Sin \theta_2} =\frac{n_2}{n_1}[/tex]
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According to the one-year calendar model based on the Big Bang theory, life on the planet began in __________.
December
August
January
September
According to the one-year calendar model based on the Big Bang theory, life on the planet began in August.
About Big Bang TheoryThe Big Bang theory is the most recent conjecture for the creation of the universe. The big explosion that occurred 13.7 billion years ago is believed to be the beginning of the journey of the entire universe.
The big bang theory describes the creation of the universe as an expansion of matter which then exploded like a giant balloon that is constantly being filled with air. The remnants of these explosions then each became the seeds for the formation of galaxies, solar systems, and the various objects that fill them.
Revealed, Dark Energy in the Universe in Cosmology
Cosmologists and physicists call the universe currently expanding as a result of the Big Bang explosion. Even the speed of its expansion is believed to continue to increase.
Scientists have also found predicted thermal signatures from the Big Bang, the cosmic microwave radiation that enveloped the universe. In the thermal traces there are no objects older than 13.7 billion years, indicating that the universe was born around that time (the time of the Big Bang phenomenon).
The traditional Big Bang theory holds that the universe began from a singularity, or point of infinite density and temperature whose properties are difficult for the human mind to comprehend.
But the theory does not accurately describe anything obvious, because the singularity idea is based on Einstein's general theory of relativity.
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the role of the mouth in sound the prodution of sound during speech or singing is a complicated process lets concentrate on the mouth a typcal depth for the huamn mouth is about 8 cm although this number can vary. (Check it against your own mouth.) We can model the mouth as an organ pipe that is open at the back of the throat. What are the wavelengths and frequencies of the first four harmonics you can produce if your mouth is (a) open, (b) closed? Use .v=354 m/s
When open mouth the wavelengths and the frequencies of the first four harmonics you can produce are 0.16 m and 2,212.5 Hz, 0.08 m and 4,425 Hz, 0.053 m and 6,637.5 Hz, 0.04 m and 8,850 Hz.
When closed mouth the wavelengths and the frequencies of the first four harmonics you can produce are 0.32 m and 1,106.25 Hz, 0.1067 m and 3,318.75 Hz, 0.064 m and 5,531.25 Hz, 0.0457 m and 7,743.75 Hz.
If we open our mouth it will create a tube that opens at both ends.
The wavelengthFor the first harmonic
[tex]\lambda_1 = \frac{2L}{1}[/tex]For the second harmonic
[tex]\lambda_2 = \frac{2L}{2}[/tex]For the third harmonic
[tex]\lambda_3 = \frac{2L}{3}[/tex]For the fourth harmonic
[tex]\lambda_4 = \frac{2L}{4}[/tex]If we closed our mouth it will create a tube that one end opens and the other end closed.
The wavelengthFor the first harmonic
[tex]\lambda_1 = \frac{4L}{1}[/tex]For the second harmonic
[tex]\lambda_2 = \frac{4L}{3}[/tex]For the third harmonic
[tex]\lambda_3 = \frac{4L}{5}[/tex]For the fourth harmonic
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suppose you found a star with the same mass as the sun moving back and forth within a period of 16 months. a) what could you conclude? b) explain the reasons for your conclusion scientifically.
It has a planet orbiting at a distance larger than 1 AU when you discover a star that rotates back and forth every 16 months and has the same mass as the sun.
How can a planet's orbit move inward due to a gravitational collision?How can a planet's orbit move inward due to a gravitational collision? Another object receives both energy and angular momentum from it.
Which of the following is true regarding the transit method of finding exoplanets?There are two fundamental obstacles to directly finding exoplanets. One is that as we go farther away from the earth, the angular size of planets decreases and is no longer able to be resolved in a picture.
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If the weight of an object of mass "m" is "mg," then the weight of an object of mass "2m" is.
This leads us to the conclusion that if an object of mass "m" weighs "mg," then an object of mass "2m" weighs "2mg."
Which is mass?Mass is a crucial aspect of all matter and a measurement on inertia in physics. What a body of matter is fundamentally, is the resistance it offers to something like a change in its speed and location brought on by the application of a force. The amount of mass a body has no bearing on how much of a change a force applies.
what do a mass and weight mean?Mass is a unit used to describe the amount of matter who makes up an object. Weight, a measure of force, is used to calculate the gravitational pull an object experiences. In contrast to mass, weight is not location-dependent.
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a child sprays her sister with water from a garden hose. the water is supplied to the hose at a rate of 0.123 l/s, and the diameter of the nozzle is 5.43 mm. at what speed ???? does the water exit the nozzle?
The water exists the nozzle at the speed of 5.315 m/s when rate of flow and diameter is given.
What is the water flow rate?Your water flow rate is the measurement of how many gallons of water could potentially come out of your kitchen faucet or bathtub per minute.
Given, Rate of flow= 0.123 l/s = 0.000123 m^3/s
and d= 5.43 mm= 0.00543m
r= 2.715 * 10^-3
Flow rate= water velocity * area of the nozzle
Area of nozzle = π* r²
= 3.14 *( 2.715 * 10^-3)²
= 2.314 * 10^-5
0.000123 = V * 2.314 * 10^-5
Speed at which the water exits= 5.315 m/s
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a wheel 0.800 m in diameter rotates with an angular acceleration of 4.40 rad/s2. if the wheel’s initial angular velocity is 2.10 rad/s, what is its angular velocity after 11.4 s?
The angular velocity after 11.4s is 52.56 rad/s
[tex]w_{f}=w_{0}+at[/tex]
Given:[tex]w_{0}=2.10,a=4.40,t=11.4[/tex]
[tex]w_{f}=2.10+4.40*11.4\\w_{f}=52.56[/tex]
What is angular velocity?
Angular velocity is a vector quantity and is described as the rate of change of angular displacement which specifies the angular speed or rotational speed of an object and the axis about which the object is rotating.
What are angular velocity and acceleration?
Angular velocity is the rate of change of angular displacement and angular acceleration is the rate of change of angular velocity.
Are angular velocity and momentum the same?
While linear momentum is P = MV, where M is mass and V is velocity, angular momentum L = Iw, where I is rotational inertia and w (we use w instead of small Omega, the conventional symbol) is angular velocity. Angular velocity is just the angle the mass rotates in an interval of time. w has the units of radians/second.
Thus, the angular velocity is 52.56 rad/s
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what is the wavelength of the electromagnetic wave produced by your cell phone, if the frequency of that wave is 900 mhzmhz ? express your answer with the appropriate units.
The wavelength of the electromagnetic wave is 0.33m
The study of electromagnetic radiation is known as electrodynamics, and electromagnetic radiation itself, or EM, is a physical phenomenon connected to the idea of electrodynamics. The properties of superposition apply to electric and magnetic fields as well. A field produced by a specific particle or a time-varying magnetic or electric field, then, contributes to the other fields that are present in the same space due to other causes. In addition, all magnetic and electric field vectors combine together using the vector addition formula because they are vector fields. For instance, in optics, two or more coherent light waves may interact and, through destructive or constructive interference, produce a resultant irradiance that is different from the sum of the component irradiances of the individual light waves.Frequency = 900 x 10⁶Hz
[tex]Frequency=speed/wavelength[/tex]
[tex]Wavelength=speed/frequency[/tex]
=3 x 10⁸/900 x 10⁶
=0.33m
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a skydiver leaps from a plane and accelerates toward the surface of the earth. earth’s acceleration toward the skydiver is:
Skydiver's acceleration is substantially greater than Earth's acceleration in its direction.
What is acceleration?
The rate at which velocity, measured in terms of speed and direction, changes over time is known as acceleration. Anything is said to have been accelerated when it goes faster or slower in a straight line.
You fall, your descent to the ground quickening. Until the drag from her falling speed due to wind resistance equals the acceleration induced by gravity, this acceleration will continue. Because air resistance, sometimes referred to as drag force, is typically far lower than the normal force of a body, he should continue to accelerate downward. When these forces are balanced, she will attain "terminal velocity," at which point she will cease gaining speed.
He will continue to descend until he opens his chute at the same pace, although the acceleration he experiences at first is due to gravity.
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as long as an object is not gaining or losing mass, a net force on the object will cause a change in as long as an object is not gaining or losing mass, a net force on the object will cause a change in velocity. weight. speed. acceleration. direction.
The net force would cause the velocity of the body to change and it would accelerate.
What is the net force?We know that the force that is acting on a body is a vector quantity. If the force is a vector quantity, the implication of this is that the force would have both a magnitude and direction.
According to the Newton first law of motion, if an object is acted upon by an unbalanced force, the result of this is that the velocity of the object would change and the object would accelerate.
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if an astronaut knocks a wrench off the outside of the space shuttle (while in space) while she is doing a repair job, the wrench will continue moving in the same direction. which of newton's laws of motion will the wrench demonstrate?
The Newton's first law is demonstrated over here.
If the wrench is thrown then that wrench will keep on moving in the space.
As we all no space has no gravity and since there is no gravity, hence, no force is applied on that body.
The wrench will move freely in the space and will continue to move in same direction until there is some external force is applied to stop or change its direction.
This shows that over here the Newton's first law is applied.
The Newton's first law states that the body will continue to be in the same state or motion and will not change until the external force is applied on it.
This Newton's first law is also known as law of inertia.
Therefore, the wrench will continue to move in the same direction under the influence of Newton's first law.
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how much tension must a rope have if it is used to support a precious painting with a mass of m on a smooth, frictionless surface, inclined at an angle 6 with respect to the horizontal ground?
The tension must a rope have to support a certain mass with horizontal is 1.3671N.
A vertically twisted rope moves more quickly downward and more slowly upward. It needs the rope to exert a force with a tangential component in order to whirl it at a constant speed.Since we are working with idealized pulleys and strings, the mass m1 is ultimately connected to the axle of the movable pulley P1 dot.Due to the fact that a massless pulley can have no net force, pulley P1 has upward tension T1 and downward tension 2T1 dot. 2T1−T1=0 .We then move to pulley P2, which has an upward tension of 2T1, and that is seen to be zero. This equation can only be true if T1=0. Thus, the mass m2 under tension is also zero. In conclusion, there is no tension in the rope.T=mgsinФ
T=0.5 x 9.8 x sin6
=4.9sin6
=4.9 x 0.279
=1.3671N
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the acceleration due to gravity on the surface of the moon is about 1/6 that on the surface of earth. an astronaut weighs 600 n on earth. the astronauts mass on the moon is most nearly:
Mass of the astronaut on the moon is 61.22 because the acceleration due to gravity on the surface of the moon is about 1/6 that on the surface of earth.
Gravitational acceleration is the acceleration gained by an object due to the force of gravity.
Its SI unit is m/s².It has both magnitude and direction, so it is a vector quantity. Gravitational acceleration is represented by g. The standard value of g on the earth's surface at sea level is 9.8 m/s².Weight of the astronaut on the Earth = w = 600 N
Mass of the astronaut on the Earth = w/g
Mass m = 600/9.8
m = 61.22 kg
Mass of the astronaut will remain same on the Moon but the weight will change due to the change in the acceleration due to gravity on the surface of the moon.
Acceleration due to gravity on the surface of the moon is about 1/6 that on the surface of earth i.e. g' = g/ 6
g' = 9.81/6
g' = 1.63
Weight of the Astronaut on the surface of the moon = m * g'
W' = 100.094 N
Mass will be 61.22 kg and the weight will be 100.94 N on the surface of the moon.
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describe the position vertsus time plot of driven harmonic motion when the driving frequency is slightly higher than the theoretical njatural frequency
The position versus time plot of driven harmonic motion when the driving frequency is slightly higher than the theoretical natural frequency will show a sinusoidal oscillation with a gradually increasing amplitude.
What is harmonic?
A harmonic wave, like a sinusoidal wave, has a frequency that is an integer multiple of the basic frequency, or the frequency of the initial periodic signal. The first harmonic of the original signal is also referred to as that; higher harmonics are the other harmonics. The sum of harmonics is periodic at the fundamental frequency because all harmonics are at that frequency as well. A harmonic series is formed by the group of harmonics.
The phrase is used in a variety of fields, including radio technology, physics, acoustics, power electronics transmission, and music. For instance, if indeed the frequency response is 50 Hz, which is a typical AC power supply frequency, the first three higher harmonics' frequencies are 100 Hz (second harmonic), 150 Hz, and 200 Hz (3rd harmonic).
As the driving frequency increases, the amplitude of the oscillation will become more pronounced and eventually reach a peak before decaying back to the original amplitude. The period of the oscillation will remain constant, even as the amplitude increases.
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did a large terrestrial planet ever form in the region of the asteroid belt? (a) no, because there was never enough mass there. (b) no, because jupiter prevented one from accreting. (c) yes, but it was shattered by a giant impact.
The large terrestrial planet never formed in the region of the asteroid belt because there was never enough mass there. Thus, option (a) is the answer.
Rocky planetesimals survived in the asteroid belt between Mars and Jupiter because they did not accrete into a planet. Jupiter's gravity, through the influence of orbital resonances, stirred up asteroid orbits and thereby prevented their accretion into a planet.
Jupiter's gravity is so strong, that it makes asteroid orbits within the Kirkwood gaps unstable. It's these gaps that prevented a single planetary body from forming in that region. So, because of Jupiter, asteroids formed into families of debris, rather than a single planetary body.
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52 Points HELP
An arrow leaves a bow at an anitial velocity of 47.74m/s. 0.5 seconds after leaving the bow. When the arrow reaches the target its final velocity is 68.58m/s, 5 seconds later. what is the acceleration of the arrow
27.5 m/s. If the average force exerted on the arrow by the bow was increased 3 times and the arrow was accelerated over the same distance
dirk pushes on a packing box with a horizontal force of 75.0 n as he slides it along the floor. the average friction force acting on the box is 5.0 n. how much total work is done on the box in moving it 2.50 m along the floor?
Total work done to be done on the box in moving it 2.50 m along the floor is 175 j.
Friction force is an opposing force of motion. It comes into play when an object moves over the surface of another object.
We can find the friction force using formula,
[tex]F_{friction[/tex] = µ • [tex]F_{normal[/tex]
Where,
[tex]F_{friction[/tex] = friction force
µ = coefficient of friction
[tex]F_{norm[/tex] = normal force.
In question given is
Horizontal force(F) = 75 N
Average friction force (f) = 5.0 N
displacement = 2.50 m
[tex]F_{net[/tex] = F-f
= 75- 5 N = 70 N
Work done by the force is
W = [tex]F_{net[/tex] × S
= 70 × 2.50 j
= 175 j
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