Kepler's 3rd law says T2/r3 = K. What does the constant K depend upon?

A) size B) temperature C) mass D) frequency E) period A) size B) temperature C) mass D) frequency E) period

Kepler's discovery that T2/r3 = K applies

A) to orbits where K is a universal constant. B) only to circular orbits. C) to elliptical orbits where r is the average distance. D) to lunar motion provided K is the same for planetary motion. A) to orbits where K is a universal constant. B) only to circular orbits. C) to elliptical orbits where r is the average distance. D) to lunar motion provided K is the same for planetary motion.

Show that the change in gravitational potential energy U2 -U1 = -GmM(1/R2 - 1/R1) becomes mgh when h << r.

r=R+h where R=Earth radius. U 2

Exam 7: Circular Motion and Gravitation

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The speed needed at the bottom of a loop-the-loop track so that a car can coast to the top, with sufficient speed to stay on the track, depends on the mass of the car. (Neglect the effects of friction.)

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Question 41

A pilot executes a vertical dive. Just before the plane starts to come up from the bottom of the dive, the force on him is

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Question 42

A space station of diameter 40. meters is turning about its axis at a constant rate. What is the period of revolution of the space station if the outer rim experiences an acceleration of 2.5 m/s²?

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Question 43

The net force on an object in orbit is zero.

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Question 44

The flywheel of a machine is rotating at 126 rad/s. Through what angle will the wheel be displaced from its original position after 6.0 s?

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Question 45

What is the escape velocity from the solar system (SUN) leaving from our position 93. million miles from the sun?

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Question 46

State Kepler's second law.

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Question 47

The weight of an object on the Moon is what fraction of the weight of the same object on Earth?

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Question 48

A planet is discovered to orbit around a star in the galaxy Andromeda, with the same orbital diameter as the Earth around our sun. If that star has 4 times the mass of our sun, what will the period of revolution of that new planet be, compared to the Earth's orbital period?

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Question 49

Kepler's 3rd law says T²/r³ = K. What does the constant K depend upon?

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Question 50

Mary is 3.00 meters from the center of a merry-go-round. Her tangential speed is 1.88 m/s. (a) What is her angular speed in rad/s? (b) What is her acceleration while her speed remains 1.88 m/s?

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Question 51

A race car, traveling at a constant speed of 50. m/s, drives around a circular track of radius 250. m. What magnitude acceleration does it experience?

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Question 52

Does the centripetal force acting on an object do work on the object?

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Question 53

The constant K in Kepler's Third Law is the same for all the planets in our solar system, but is different for planetary systems orbiting other stars.

(True/False)

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Question 54

A tooth polisher on a dentist's drill reaches a speed of 1800 rpm in 8.0 s. What is its average angular acceleration?

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Question 55

Consider a merry-go-round which makes 20. revolutions in 4.0 minutes. (a) What is the average angular speed in radians/s? (b) For a child 3.5 m from the center, how far does he travel in the 4.0 minutes?

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Question 56

Kepler's discovery that T²/r³ = K applies

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Question 57

The escape speed from the moon is what fraction of Earth's escape speed? (Earth/Lunar mass ratio = 81.3; Earth/Lunar radius ratio = 3.67)

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Question 58

Show that the change in gravitational potential energy U₂ -U₁ = -GmM(1/R₂ - 1/R₁) becomes mgh when h << r.

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Question 59

If the Earth had four times its present mass, what would be its new period of revolution around the sun, compared to its present orbital period?

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Question 60

Showing 41 - 60 of 93

Exam 7: Circular Motion and Gravitation

The speed needed at the bottom of a loop-the-loop track so that a car can coast to the top, with sufficient speed to stay on the track, depends on the mass of the car. (Neglect the effects of friction.)

A pilot executes a vertical dive. Just before the plane starts to come up from the bottom of the dive, the force on him is

A space station of diameter 40. meters is turning about its axis at a constant rate. What is the period of revolution of the space station if the outer rim experiences an acceleration of 2.5 m/s2?

The net force on an object in orbit is zero.

The flywheel of a machine is rotating at 126 rad/s. Through what angle will the wheel be displaced from its original position after 6.0 s?

What is the escape velocity from the solar system (SUN) leaving from our position 93. million miles from the sun?

State Kepler's second law.

The weight of an object on the Moon is what fraction of the weight of the same object on Earth?

A planet is discovered to orbit around a star in the galaxy Andromeda, with the same orbital diameter as the Earth around our sun. If that star has 4 times the mass of our sun, what will the period of revolution of that new planet be, compared to the Earth's orbital period?

Kepler's 3rd law says T2/r3 = K. What does the constant K depend upon?

Mary is 3.00 meters from the center of a merry-go-round. Her tangential speed is 1.88 m/s. (a) What is her angular speed in rad/s? (b) What is her acceleration while her speed remains 1.88 m/s?

A race car, traveling at a constant speed of 50. m/s, drives around a circular track of radius 250. m. What magnitude acceleration does it experience?

Does the centripetal force acting on an object do work on the object?

The constant K in Kepler's Third Law is the same for all the planets in our solar system, but is different for planetary systems orbiting other stars.

A tooth polisher on a dentist's drill reaches a speed of 1800 rpm in 8.0 s. What is its average angular acceleration?

Consider a merry-go-round which makes 20. revolutions in 4.0 minutes. (a) What is the average angular speed in radians/s? (b) For a child 3.5 m from the center, how far does he travel in the 4.0 minutes?

Kepler's discovery that T2/r3 = K applies

The escape speed from the moon is what fraction of Earth's escape speed? (Earth/Lunar mass ratio = 81.3; Earth/Lunar radius ratio = 3.67)

Show that the change in gravitational potential energy U2 -U1 = -GmM(1/R2 - 1/R1) becomes mgh when h << r.

If the Earth had four times its present mass, what would be its new period of revolution around the sun, compared to its present orbital period?

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A space station of diameter 40. meters is turning about its axis at a constant rate. What is the period of revolution of the space station if the outer rim experiences an acceleration of 2.5 m/s²?

Kepler's 3rd law says T²/r³ = K. What does the constant K depend upon?

Kepler's discovery that T²/r³ = K applies

Show that the change in gravitational potential energy U₂ -U₁ = -GmM(1/R₂ - 1/R₁) becomes mgh when h << r.