the spring constant, k for a 12 cm length attached to the ceiling with 2.5 kg mass is 612.5.
what is spring constant ?
The stiffness of the spring is how we determine spring constant. In other words, we can define the spring constant as the force used to produce the specified displacement when the spring's displacement is one unit. It follows that a spring's spring constant will increase with increasing spring stiffness.
from the given information -
length of spring before attaching mass = 12 cm
length after attaching mass = 16 cm
mass attached = 2,5 kg
Force = k.x
k= Force/x = 2.5 x 9.8 / 0.04 = 612.5
Thus the spring constant, k for a 12 cm length attached to the ceiling with 2.5 kg mass is 612.5.
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how much force is the person exerting toward the right (the force that would go towards trying to move the car)?
Newton's second law of motion gives the following definition of the force formula: "Force exerted by an object equals mass times that object's acceleration." F = m ⨉ a.
To apply this formula, you must use SI units for force (newtons), mass (kilograms), and acceleration (meters per second squared). Every automobile, truck, boat, helicopter, plane, and even spacecraft, Lift, Weight, Thrust, and Drag Newton's first law states that your body, like all mass, tries to remain in its current location. Your body attempts to stay where it was, which is on the left, if the car turns to the right. If an object is travelling and its mass is m, its rate of slowing down is v, and the time it takes is t, then.
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A small rock bounces off the windshield of a moving car and experiences a large change in velocity. How does the car's momentum
change?
The car will slow down. If the rock is big enough and moving fast enough, the kinetic energy from the rock will transfer to the car. And because of that, the car will slow down (and the windshield will most likely shatter)
at a building site, a 1000 kg container hangs from a crane cable and is then placed on the floor so that the cable is unloaded. the container is pushed to an elevator shaft, where it is to be lowered by the crane. by mistake, there is a 1-m slack in the cable from the crane when the container is pushed into the elevator shaft. calculate the maximum stress in the cable if the cable has a cross-sectional area of 500 mm2 , an effective elastic modulus of 70 gpa, and is 25-m long from the crane to the container.
Calculate the maximum stress in the cable if the cable has a cross-sectional area of 500 mm2 , an effective elastic modulus of 70 gpa, and is 25-m long from the crane to the container. 3 mm
The maximum stress in the cable is
Max
= 351.6696 N/mm
2
Elastic modwus , E = 70 GPa = 70x103 MPa ·
Cable length (l): 25 m : 25x10 cross-sectional area of cable
Cross-sectional area-
The go-sectional area is the area of a two-dimensional shape this is received while a 3-dimensional item - along with a cylinder - is sliced perpendicular to a few distinctive axis at a point.
As an example, the go segment of a cylinder - whilst sliced parallel to its base - is a circle. for that reason, the go-sectional area of this slice is the vicinity of a circle with the radius same to the radius of the provided cylinder.
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the power-factor-correction circuit shapes the inductor current to appear as if a resistive load was connected at the output of the diode rectifier. A. true B. False
The power-factor-correction circuit shapes the inductor current to appear as if a resistive load was connected at the output of the diode rectifier. It is false.
Power Factor Correction may be a technique that employments capacitors to decrease the receptive power component of an AC circuit to improve its efficiency and reduce current. A power factor correction (PFC) circuit is included in a control supply circuit to bring its power factor close to 1.0 or reduce harmonics. Many electronic circuits have a capacitor at the input of the control supply to function with DC voltage. This capacitor might cause a phased move between the sinusoidal AC control supply voltage and current and the control to calculate (PF) will drop. A power factor correction (PFC) circuit diminishes the harmonic twisting within the supply current and makes a current waveform near a crucial sine wave in arrange to extend the power calculation to unity.
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a capacitor operating at 300 volts must be discharged to what voltage within 1 minute after it is disconnected from its supply?
A capacitor operating at 300 volts must be discharged to a voltage of 50 volts or less within one minute after it is disconnected from its supply.
The capacitor undergoes charging and discharging cycles when connected to a circuit. When a capacitor is discharged during operation, some part of the charge remains in the capacitor. Therefore, the capacitor does not discharge itself completely during normal operation.
Even after disconnecting the circuit, some charge will be left over in the capacitor (unless it is manually discharged). This charge that remains in the capacitor is known as a residual charge.
Reduce a capacitor's residual voltage to 50 volts or less within 5 minutes after the capacitor is disconnected from the supply source.
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The average kinetic energy of gas molecules is ________ proportional to the absolute temperature.
The average kinetic energy of a gaseous molecules is directly proportional to the absolute temperature. This indicates that the motion of all the molecules stops if the temperature decreases to absolute zero.
What is average kinetic energy?The product of each gas molecule's half mass and its square RMS speed yields the average kinetic energy of a gas molecule. In mathematical terms,
[tex]K=\frac{1}{2}mv_{rms}^{2}[/tex]
Here, K = Average kinetic energy
m = Mass
vrms = RMS velocity.
What is absolute temperature?The Kelvin scale, where 0 represents absolute zero, is used to measure absolute temperature. The temperature at which matter's particles move the least and cannot cool down is known as the zero point (minimum energy).
How average kinetic energy is related to absolute temperature?[tex]K=\frac{1}{2}mv_{rms}^{2}\\[/tex]
Now, [tex]v_{rms} = \sqrt{\frac{3RT}{M} }[/tex]
Substituiting the value vrms we get,
[tex]K=\frac{1}{2}mv_{rms}^{2}\\\\K= \frac{3}{2} RT[/tex]
Thus from the above equation we can see that a gas particles average kinetic energy is directly proportional to the absolute temperature (T) of the gaseous particles. All the gases at the same temperature have the same average kinetic energy (K).
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what is the tension in the rope, and what is the magnitude of the force that the floor exerts on the plank?
The tension in the rope is 366 N, and the floor's strain on the plank is 221 N, based on the answer to the question.
What does tension look like?Compression force's opposite is tension. All of the things in the scene that are in contact with one another apply forces to one another. The finest demonstration of a tension force is when a rope is being pulled. The rope builds up a lot of tension when ever a pull force is applied to it.
Briefing:a). Taking into account the plank's torque at the floor:
(T sin 60 )(L ) = (20g cos 30)(L/2) + (50g cos 30)(3L/4)
T = ( 10g cos 30 + (150 g cos 30) / 4) / sin 60
= 466 N
b). R + T = (20 + 50 )g
R = 70g − T
= 686 − 466
= 221 N
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The complete question is-
A 20.0-kg uniform plank (10.0 m long) is supported by the floor at one end and by vertical rope at the other end shown in the figure A 50.0-kg mass person stands on the plank distance three-fourths of the length plank from the end on the floor.
(a) What is the tension in the rope?
(b) What is the magnitude of the force that the floor exerts on the plank?
how do the friction force and applied force compare before and after the object is in motion? are these forces balanced or unbalanced? predict the net force.
Answer: In order for an object to move at a constant speed or to accelerate or decelerate, the applied (horizontal) force and the frictional force must be unequal.
Explanation: How does the frictional force compare to the applied force?
Frictional force serves to keep the crate in place by acting in the opposite direction as the applied force. The term for this rubbing force is static friction. If you push harder, the frictional force will rise until it achieves its maximum value as a result of the increased applied force.
Do we have even or uneven friction?
Friction was the driving force that kept the bucket in place. It absorbed the tiny force applied to the bucket and offset it. a move
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a 160 kg lineman moving west at 2 m/s tackles an 88 kg football fullback moving east at 5 m/s. after the collision, both players move east at 2 m/s
320 kg.m/s is the momentum of lineman (p)lineman =mv and 440 kg.m/s is the momentum of football fullback (p)fullback =mv.
What is change in momentum after collision?Whenever to body collides there is no change in the momentum of the body as momentum of body is equal to the momentum before the collision to the momentum after the Collison.
As per the given data:
Mass of lineman= 160 kg
velocity of lineman=2m/s
mass of fullback=88 kg
velocity=5 m/s
now momentum of lineman (p)lineman =mv
(p)lineman =160*2
(p)lineman =320 kg.m/s
now momentum of football fullback (p)fullback =mv
(p)fullback =88*5
(p)fullback =440 kg.m/s
now both travelling towards each other so final momentum after collision = 440-320
=120 kg.m/s
hence, the final momentum = 120 kg.m/s after collision .
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. the position of a particle moving along the x-axis is given by m. (a) at what time does the particle cross the origin? (b) what is the displacement of the particle between and 28. a cyclist rides 8.0 km east for 20
The time when the particle crosses the origin is t = 0.
What is time?
Time is the ongoing progression of existence and things that happen in what seems to be an irreversible order from the past, present, and forward into the future. It is a quantity that is a part of many measurements that are used to compare the length of events or the gaps between them, to compare how long they last, to order events, and to measure how quickly things change in the real world or in our conscious experience. Along with the three spatial dimensions, time is frequently referred as a fourth dimension. Time has long been a crucial topic of study in philosophy, religion, and science, but scholars have never been able to define it in a way that is applicable to all of these disciplines without being circular.
(a) The particle crosses the origin when the position m is equal to 0. Since the position of the particle is given by m, we have to solve the equation m = 0. Therefore, the time when the particle crosses the origin is t = 0.
(b) The displacement of the particle between 0 and 28 is 28 - 0 = 28 km. The displacement of the cyclist between 0 and 20 is 8 km. Therefore, the displacement of the cyclist over the 20 minutes is 8/20 km/min. Since there are 28 minutes in total, the total displacement of the cyclist is 28 x (8/20) = 14 km.
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What is the difference between speed and velocity?
Speed and velocity both involve distance traveled over time, but velocity also includes direction
Speed is how fast you're going, velocity is how fast you move
Speed is calculated by dividing the distance you travel by the time it took, whereas velocity you can just tell by looking at it
Velocity is more scientific
Answer: Speed and velocity both involve distance traveled over time, but velocity also includes direction
Explanation: speed is the time rate at which the object travels & velocity is the time rate at which the object travels also but includes direction too.
Bobby and Michael are competing by running up bleachers. Both runners weigh the same. Bobby runs up the
bleachers in 30s and Micheal run up the same bleachers in 40s. Who is more powerful?
A Bobby and Michael are both equally powerful.
B Michael because he took longer to run up the stairs.
C Bobby because he runs up the stairs faster.
D Bobby because he does more work.
Bobby is more powerful because he runs up the stairs faster.
What is power?Power is known to be the speed at which work is done. P = gravimetric power The SI unit is Watt W, where 1 Watt equals 1 Joule/second (1W=1J/s). Since work is energy transfer, power is also the rate at which energy is consumed. For example, a 60 W light bulb consumes 60 J of energy per second.
W = F × s
Where, W = work done
F = Force
s = distance
Since both of them are of same weight and can exert equal force while running and are covering same distance, their work done will be equal.
Now according to, P = W/T
Where, P = Power
W = Work
T = Time
Hence, power is inversely proportional to time.
Lesser the time for a particular work higher will be the power.
Time taken by Bobby to reach the bleachers = 30s
Time taken by Michael to reach the bleachers = 40s
As Bobby took lesser time to reach the bleachers, implies his high rate of work.
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a centrifuge in a medical laboratory rotates at an angular speed of 3650 rev/min. when switched off, it rotates 54.0 times before coming to rest. find the constant angular acceleration of the centrifuge.
According to the query, the centrifuge's constant angular acceleration is -305.14 rad/s².
What kinds of centrifuges are there?Micro centrifuges and tabletop centrifuges are the two main types of centrifuges. Both of these are to use for sample extraction by rotating the specimens in a contained receptacle at such a high speed. Their sample capacities and rotor types differ, though.
Briefing:The number of rotation is n = 3650 rev/min
Therefore n = 60.83 rev/sec
ω initial = 2πn
= 382.012 rad/s
ω final = 0
∅ = 2πn
= 2*3.14*54
= 339.12 rad
ω final² = ω initial² + 2a∅
a = (ω final² - ω initial²)/2∅
a = (0 - 382.012²)/2(339.12)
a = -305.14 rad/s²
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what is the magnitude of the resulting force on the 8 kg mass at the origin? the value of the universal gravitational constant is 6.6726 × 10−11 n · m2 /kg2 . answer in units of n.
As per the details given, the magnitude of the resulting force on the 8 kg mass at the origin due to the gravitational attraction of the other two masses is 1.09 x 10⁻¹¹ N.
To calculate the magnitude of the resulting force on the 8 kg mass at the origin, we need to consider the gravitational forces exerted by the other two masses.
Let's assume the mass at the origin is M₁ = 8 kg, the mass at (0, 6) is M₂ = 16 kg, and the mass at (8, 0) is M3 = 4 kg.
The gravitational force (F) between two masses M₁ and M₂ is given by Newton's law of universal gravitation:
F = G * (M₁ * M₂) / r²
where G is the universal gravitational constant (6.6726 × 10⁻¹¹ N·m²/kg²), M₁ and M₂ are the masses, and r is the distance between the centers of the masses.
1. Gravitational force between M₁ and M₂:
Distance between M₁ and M₂:
r1 = √(0² + 6²) = 6 m
Gravitational force between M₁ and M₂:
F1 = G * (M1 * M2) / r₁²
F1 = 6.6726 × 10⁻¹¹ * (8 kg * 16 kg) / (6 m)²
F1 ≈ 1.0660 × 10⁻¹⁰ N
2. Gravitational force between M₁ and M₃:
Distance between M₁ and M₃:
r₂ = √(8² + 0²) = 8 m
Gravitational force between M₁ and M3:
F₂ = G * (M₁ * M₃) / r₂²
F₂ = 6.6726 × 10⁻¹¹ * (8 kg * 4 kg) / (8 m)²
F₂ ≈ 2.0015 × 10⁻¹¹ N
Now, the resulting force on M₁ is the vector sum of the forces F₁ and F₂. Since the forces are acting along the x-axis and y-axis, we can use the Pythagorean theorem to find the magnitude of the resulting force:
Magnitude of the resulting force on M1:
F' = √(F₁² + F₂²)
F' = √((1.0660 × 10⁻¹⁰ N)² + (2.0015 × 10⁻¹¹ N)²)
F' ≈ √(1.1363 × 10^(-20) N² + 4.0060 × 10⁻²² N²)
F' ≈ √(1.1769 × 10⁻²⁰ N²)
F' ≈ 1.09 × 10⁻¹¹ N
Thus, the resulting force on the 8 kg mass at the origin is approximately 1.09 × 10⁻¹¹ N.
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a tire swing hanging from a branch reaches nearly to the ground (see the photo above). how could you estimate the height of the branch using only a stopwatch?
We may determine the height of the branch using the pendulum's expression of time period. The swinging tyre can be compared to the pendulum's swinging bob. Here, the pendulum's length will match the height of the branch.
So let h be. From the formula for the pendulum's duration, let T denote the time period of the tire's swing.
T = 2π√l/g where l is length of pendulum
l = h so
T = 2π√h/g
h = T^2g/4π^2
Calculating the tyre swing time allows us to determine the height of the branch.
A stop watch can be used to estimate the length of the tyre swing. Time period is the length of time it will take the tyre to go from one extreme to the other before returning.
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a charged particle enters a region of uniform magnetic field. Determine the direction of the force on each charge due to the magnetic field Part B Figure 2 of 3 Determine the direction of the force on the charge due to the magnetic field. (Figure 2) View Available Hints) a. F points out of the page. b. F points into the page c. Fpoints neither into nor out of the page and F ≠ 0. d. F = 0
The direction of the force on each charge due to the magnetic field will be on the page.
Calculation:-
Force on a charged particle in a magnetic field is given as
F = q(V x B)
As its velocity is in +Y direction = J
The magnetic field in +x-direction = I
So,( Force will be in (I x J).
When a charged particle enters a region of uniform magnetic field and its velocity is perpendicular to the magnetic field, a magnetic force is generated that acts as a centripetal force, causing circular motion of the particle. Since the magnetic force acts perpendicular to the direction of motion, charged particles follow curved paths within the magnetic field.
The Particle continues following this curved path until it forms a perfect circle. Magnetic forces act on particles perpendicular to their velocity, so they do not act on them. The kinetic energy and velocity of the particles do not change. For example, due to their inertia, charged particles drift in inhomogeneous magnetic fields and generate ring currents around the Earth.
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a 4.0 m length of metal wire is connected to a 1.5 v battery, and a current of 3.0 ma flows through it. what is the diameter of the wire? (the resistivity of metal is 2.24×10−8ω⋅m .)
The wire has a diameter of 1.596 × (10) -5 m.
How to calculate the Diameter?L = 4.0 m is the length of the wire.
The battery's emf is 1.5 volts.
I = 4 mA = 0.004 A is the wire's current.
The wire's resistance can be calculated using;
R = V / I
R = 1.5 / 0.004
R = 375 ohms
The wire's resistance in terms of resistivity is determined by;
R = pL / A
A = pL / R
Where;
The wire's area A is
Gold has a resistivity of (2.44 x 10)-8 ohm.
A = (2.44 x 10)-8 × 4 /375
A = 2.603 × (10) -10 m²
A = πd² / A
πd² = 4A
d = √4A / π
d = √4/ (2.602 × (10) -10 / π
d = 1.596 × (10) -5 m.
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g when light strikes a window pane some rays will be reflected back and forth in between the two glass surfaces. why do these reflected rays not produce visible colored interference fringes?
The reflected rays of light don't produce visible colored interference fringes in a window pane because the glass structure of a window pane prevents the interference patterns to be observed.
A window pane is the glass that acts as a window in a building. While usually a window pane is only composed of a single piece of glass, sometimes two or more glass sheets are used with some space between each.
When it strikes a window pane, some rays will be reflected back and forth between the glass surfaces. Theoretically, it should produce some visible colored interference fringes. However, the glass structures in window panes do not have the ability to produce these visible fringes. They do produce the effect, but they are negated by the effect of other sections of the glass.
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a pipe of length 6.0 m is closed at one end and sustains a standing wave at its second overtone. determine the distance between a node and an adjacent antinode.
The distance between a node and an adjacent antinode is 1.2m.
If λ is the wavelength then the length of the pipe L = 5λ/4
Now F₁ = ν/4L
F₃ = 5F₁ for second overtone for system of two different ends,
so, wavelength λ = [tex]\frac{4L}{5}[/tex] = 4 × [tex]\frac{6}{5}[/tex] = 4.8m
the distance between a node and adjacent antinode = λ/4 = [tex]\frac{4.8}{4}[/tex] = 1.2m
In physics, what do node and antinode mean?
The location of a point on a standing wave is described by its node and antinodes. The points known as nodes are those that do not deviate from the equilibrium position. At nodes, amplitude is at its lowest. Antinodes are locations where deviations from the mean position are at their highest (at crests and toughs). Antinodes have the highest amplitude.
On the other side, antinodes are created in regions where constructive interference takes place. For instance, a point of significant positive displacement happens when the crests of two waves collide.
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you are using your calculator in a room illuminated by a 120 w bulb 2.8 m away. assume the light bult is designed to send the light uniformly into a hemisphere. the solar cells have an active area of 3 cm2. if the solar cells are 15% efficient, how much electrical power is the calculator receiving in mw?
If the solar cells are 15% efficient, the electrical power that the calculator is receiving is 0.10962mW.
What is solar cells?It is a photovoltaic cell, an electronic device that converts the energy of light directly into electricity by the photovoltaic effect, which is a physical and chemical phenomenon.
So, the solar cells on your calculator will trap solar energy and convert it into electrical energy to give power your calculator's liquid display.
How to calculate the electrical power that the calculator will receive?
P = 120W
r = 2.8m
A = 3cm² = 3 * 10^-4 m²
Intensity = 15/100 * P/4*π*r^2
= 0.15 * 120 / 0.5 * 4π * 2.8²
I = 0.3654 W/m^2 (rounded)
Received power = I * A
= 0.3654 * 3 * 10^-4
= 1.0962 * 10^-4 W
= 0.10962 mW
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one of jupiter's most recognizable features are the colorful bands that cover its surface. why is the surface of saturn so bland in comparison?
The surface of Saturn is much colder than the surface of Jupiter.
What is Jupiter?
The largest planet in the Solar System, Jupiter, is the fifth from the Sun. It is a gas giant with such a mass that is slightly less than one thousandth that of the Sun but more than two and half times so on of all of the other planets within the Solar System put together. After the Moon and Venus, Jupiter is indeed the third brilliant natural unit in the Earth's night sky, and people have been observing it since ancient times. It was given the name Jupiter just after Roman god and supreme deity.
This makes it difficult for convection currents to form in the atmosphere of Saturn and for clouds of ammonia and water to form. Without these clouds, the bands of color that are so prominent on Jupiter's surface are not seen on Saturn. Furthermore, the gases on Saturn's surface are much less dense than those on Jupiter's surface, which further prevents clouds from forming and obscuring the underlying surface features.
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why does michael jordan appear to defy gravity as he slam dunks the ball? (after you have thought about this question, see page 68 of your textbook.)
Michael jordan appears to defy gravity because His motion is that of a projectile, and a projectile's motion is such that its vertical speed is minimal while at the high point of its trajectory.
What do you mean by projectile motion?
Projectile motion is a form of motion experienced by an object or particle that is projected in a gravitational field, such as from Earth's surface, and moves along a curved path under the action of gravity only. Examples of projectile motion include throwing a ball straight upward, kicking a ball and giving it a speed at an angle to the horizontal, or simply dropping an object and allowing it to free fall. In all cases, gravity is the only force acting on the object.To know more about Projectile motion here
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A car traveled 348 km in 5.0 min. What was the speed of the car in m/s?
Answer:
69,000m/s.
Explanation:
1. Divide
348 ÷ 5.0 = 69.6km
Now, it says to find it in meters. Not km. 1,000 meters = 1 km. So, we can simply move the decimal place over according to how many zeros there are in 1,000. In this case, there are 3 zeros. So, we can move the decimal place over 3 times:
69.6
696.
6,960.
69,600
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c. we may think of a bulb as presenting an obstacle, or resistance, to the current in the circuit. 1. thinking of the bulb in this way, would adding more bulbs in series cause the total obstacle to the flow, or total resistance, to increase, decrease, or stay the same as before. 2. formulate a rule for predicting how the current through the battery would change (i.e., whether it would increase, decrease, or remain the same) if the number of bulbs connected in series were increased or decreased.
All light bulbs contain a filament that has some form of resistance hence adding more bulbs in series will increase the total obstacle to the flow, or increases the total resistance
Resistance is the degree to which a substance obstructs or opposes an electric current and electron flow is referred to as electric current.
As electricity passes through the filament, it encounters the resistance due to presence of filament and the energy is converted into light and heat.
According to the Ohm's law, V = IR
if the voltage remains constant then the current(I) is inversely proportional to the resistance(R).
So increasing the number of bulbs connected in series would decrease the current through the battery as it is having constant voltage.
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Why does the rotation curve for the solar system show speeds that become slower with increasing distance from the sun?.
The rotation curve for the solar system show speeds that become slower with increasing distance from the sun Because the Sun contains most of the mass of the solar system
What is solar system ?The Solar System is composed of the Sun, eight planets, and another collection of celestial bodies. These celestial bodies and planets are drawn to and orbit the Sun. The Sun, an average star, the planets Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, and Neptune make up our solar system.
As the distance from the galactic centre increases, it is discovered that the rotation speed does not decrease, suggesting that the galaxy's mass distribution cannot be concentrated like the light distribution.
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a rifle bullet has a muzzle velocity of 680 ft/s. (a) at what angle (ignoring air resistance) should the rifle be pointed to give the maximum range? (b) evaluate the maximum range.
(a) The angle the rifle should be pointed to give the maximum range is 45⁰.
(b) The maximum range of the bullet is 47,183.7 m.
What is the maximum range of the raffle?
The maximum range of the raffle is calculated by applying the following kinematic equation.
R = u² sin(2θ) / g
where;
u is the velocity of the bulletθ is the angle of projection of the bulletg is the acceleration due to gravityAt the maximum range, the angle of projection = 45⁰
The maximum range of the bullet is calculated as follows;
R = u² sin(2θ) / g
R = (680² x sin(2 x 45) ) / 9.8
R = 47,183.7 m
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A. The angle at which the rifle should be pointed to give the maximum range is 45 degrees.
B. The maximum range of the bullet is 4383.5 m
A. How do I determine the angle for maximum range?
projectile motion involves motion which follows a parabolic path.
However, to obtain a maximum range for projectile motion, the angle of projection must be 45 degrees
B. How do I determine the maximum range?
The maximum range of the bullet can be obtained as follow:
Initial velocity (u) = 680 ft/s = 680 × 0.3048 = 207.264 m/sAngle of projection for maximum range (θ) = 45 ° Acceleration due to gravity (g) = 9.8 m/s²Maximum range (R) =?R = u²Sine(2θ) / g
R = [207.264² × Sine (2×45)] / 9.8
R = 4383.5 m
Thus, the maximum range is 4383.5 m
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question 5 what is this minimum value of the angular separation between objects that allows resolution?
The Minimum Angular Separation Between Two Stars is 4 × 10−6 Rad, If Telescope is Used to Observe Them with an Objective of Aperture 16 Cm.
The angular resolution measure is the angular size of the smallest features that the telescope can see. θ ≈ a / d . A complete circle is 2π radians = 360 degrees. Angular sizes or separations may also be measured in arcminutes (60 arcmin = 1 degree) or arcseconds (60 arcsec = 1 arcmin).
To find Angular Separation
It represents cosine angle between two vectors. ...
Formula. ...
Exercise: ...
From vector algebra we remember that cosine angle between two vectors can be represented as dot product divided by length of the two vectors.
The length of a vector (sometimes called modulus) is the root of square of its coordinate.
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A resistor and an initially uncharged capacitor are connected in series with battery. A long time after the circuit is connected , which of the following is true? O The voltage across the resistor is at its maximum: O The voltage across the capacitor is at its minimum: O The charge on the capacitor is at its minimum. O The current in the circuit is at its maximum; O The current in the circuit is Zero.
The current in the circuit is Zero is true
Define current
An electrical charge carrier flow known as current often involves electrons or atoms lacking in electrons. negative to positive points are crossed by current.
The maximum voltage across the resistor is the first choice. This choice is incorrect because, after a considerable amount of time, the capacity is fully charged and the circuit's current "I" will be equal to zero. Moreover, because current is 0 It will now be equal to zero for the voltage courses resistive "IR."
The next option claims that the voltage across the capacitor is at its lowest. Additionally, this is incorrect because charge across a capacitor reaches its maximum over time. In addition to being maximum, voltage will be maximum and equivalent to charge upon capabilities.
No The capacitor is only partially charged, according to the next option. This is incorrect since it takes a while for the charge to reach its maximum level before the maximum current is claimed. . Which is also incorrect because once the capacitor is fully charged, current eventually zeroes out.
Since the capacitor's charge did not change at all after it reached full charge, the fact that the circuit's current is zero is accurate. Because the charge has achieved its maximum value, the rate of change of charge will be zero, and the current will also be zero.
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a 7 kg mass is 12 meters from a 9 kg mass. what is the magnitude of the gravitational force on the 7 kg mass due to the 9 kg mass?
The gravitational force is 2-92 X 10⁻¹¹ N
Solution:
F = [tex]\frac{ Gm_{1} m_{2} }{r^{2} } = \frac{6.67*10^{-11} (7)(a)}{12^{2} }[/tex]
= 2-92 X 10⁻¹¹ N
Gravity or attraction pulls objects with mass together. We often think about Earth's gravity. This force locks the body to the ground. However, all objects with mass exert gravitational force on all other objects with mass.
Gravity is described as the force of attraction that attracts all physical forms with mass. It is by far the weakest known force of nature. The reason gravity pulls you to the ground is that all objects with mass like our Earth actually bend or distort the fabric of the universe called space-time. This curvature is what we perceive as gravity.
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1.how high will the station have to above the normal train track be for 100,000 kg train going 100 km/hr to come to a stop?
The calculated answer is 1000 m. Since we must suppose that there isn't any external net force operating on the system of the two trains, this is an issue about momentum conservation.
When the trains clash, there will be a collision force between them, but since we have defined the system as the two trains, the force is internal to the system.
The starting momentum of train 1 plus train 2 equals the end momentum of train 1 plus train 2, or p1 + p2 = p1′ + p2′. However, train 2 has no momentum because we are aware that it is at rest. That enables us.
Since p = mv,
v1 = v2,
and m is a constant, the revised form of the equation is p1 + 0 = p1′ + p2′.
either mv1 = 2mv or mv1 = (m + m) v.
=100000/100
=1000 km
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