An object of mass 0.50 kg weighs 2.0 N when it is 1.0 × 106 m above the surface of Planet X.The radius of the planet is 4.0 × 106 m.What free-fall acceleration will the 0.50-kg object experience when at the surface of Planet X?

A) 4.8 m/s2 B) 2.0 m/s2 C) 4.0 m/s2 D) 6.3 m/s2 A) 4.8 m/s2 B) 2.0 m/s2 C) 4.0 m/s2 D) 6.3 m/s2

When a point on the rim of a 0.30-m-radius wheel experiences a centripetal acceleration of 4.0 m/s2,what tangential acceleration does that point experience?

A) 1.2 m/s2 B) 2.0 m/s2 C) 4.0 m/s2 D) Cannot determine with the information given. A) 1.2 m/s2 B) 2.0 m/s2 C) 4.0 m/s2 D) Cannot determine with the information given.

Suppose the gravitational potential energy for a mass at an altitude of one Earth radius is PE1 and at two Earth radii is PE2.How do the absolute values of these potential energies compare?

A) |PE1| = 2|PE2| B) |PE1| = 4|PE2| C) |PE1| 2| D) |PE1| > 2|PE2| but is not equal to 4|PE2| A) |PE1| = 2|PE2| B) |PE1| = 4|PE2| C) |PE1| 2| D) |PE1| > 2|PE2| but is not equal to 4|PE2|

Exam 7: Rotational Motion and Gravitation

An object of mass m is on the surface of the Earth.The distance to the Sun and the Moon are d_S and d_M,and the masses of the Sun and Moon are M_S and M_M.What is the ratio of the gravitational force from the Sun to that of the Moon on the object?

(Multiple Choice)

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Question 21

The end of the cutting cord on a gas-powered weed cutter is 0.21 m in length.If the motor rotates at the rate of 20 rev/s,what is the tangential speed of the end of the cord?

(Multiple Choice)

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Question 22

An automobile accelerates from zero to 36.72 m/s in 6.80 s.The wheels have a diameter of 0.450 m.What is the average angular acceleration of each wheel?

(Multiple Choice)

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Question 23

A ventilation fan has blades 0.25 m in radius rotating at 20 rpm.What is the tangential speed of each blade tip?

(Multiple Choice)

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Question 24

A 0.12-m-radius grinding wheel takes 6.0 s to speed up from 2.0 rad/s to 11.0 rad/s.What is the wheel's average angular acceleration?

(Multiple Choice)

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Question 25

An artificial Earth satellite in an elliptical orbit has its greatest centripetal acceleration when it is at what location?

(Multiple Choice)

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Question 26

An object of mass 0.50 kg weighs 2.0 N when it is 1.0 × 10⁶ m above the surface of Planet X.The radius of the planet is 4.0 × 10⁶ m.What free-fall acceleration will the 0.50-kg object experience when at the surface of Planet X?

(Multiple Choice)

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Question 27

A satellite is in a circular orbit about the Earth at a distance of two Earth radii above the surface.What is the speed of the satellite? (The radius of the Earth is 6.4 × 10⁶ m,and G = 6.67 × 10−¹¹ N × m²/kg². )

(Multiple Choice)

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Question 28

When a point on the rim of a 0.30-m-radius wheel experiences a centripetal acceleration of 4.0 m/s²,what tangential acceleration does that point experience?

(Multiple Choice)

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Question 29

An asteroid is in orbit at 4 times the Earth's distance from the Sun.What is its period of revolution?

(Multiple Choice)

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Question 30

Suppose the gravitational potential energy for a mass at an altitude of one Earth radius is PE₁ and at two Earth radii is PE₂.How do the absolute values of these potential energies compare?

(Multiple Choice)

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Question 31

The escape speed from the surface of the Earth is 11.2 km/s.Estimate the escape speed for a spacecraft from the surface of the Moon.The Moon has a mass 1/81 that of Earth and a radius 0.25 that of Earth.

(Multiple Choice)

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Question 32

If the mass of Mars is 0.107 times that of Earth,and its radius is 0.530 that of Earth,estimate the gravitational acceleration g at the surface of Mars.(g_earth = 9.80 m/s²)

(Multiple Choice)

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Question 33

Two points on a merry-go-round are located at distances from the center r₁ and r₂,where r₁ < r₂.While the merry-go-round is in the process of speeding up to operational speed,which of the following equations involving magnitudes of angular speed,angular acceleration,and tangential speed for these points is incorrect?

(Multiple Choice)

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Question 34

For a point on a spinning disc in uniform circular motion,which of the following is not constant?

(Multiple Choice)

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Question 35

A ceiling fan is turned on and reaches an angular speed of 120 rev/min in 20.0 s.It is then turned off and coasts to a stop in 40.0 s.In the 60.0 s of rotation,through how many revolutions did the fan turn?

(Multiple Choice)

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Question 36

A car is going around a racetrack at constant speed.The curves around the track have different radii.In which turn is the magnitude of the car's acceleration the greatest?

(Multiple Choice)

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Question 37

A 0.650-kg object is swung in a circular path and in a vertical plane on a 0.500-m-length string.If the angular speed at the bottom is 8.00 rad/s,what is the tension in the string when the object is at the bottom of the circle?

(Multiple Choice)

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Question 38

An object of mass 0.50 kg is transported to the surface of Planet X where the object's weight is measured to be 20 N.The radius of the planet is 6.0 × 10⁶ m.What is the mass of Planet X? (G = 6.67 × 10−¹¹ N ⋅ m²/kg²)

(Multiple Choice)

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Question 39

A wheel is rotated about a horizontal axle at a constant angular speed.Next it is rotated in the opposite direction with the same angular speed.The acceleration at a point on the top of the wheel in the second case as compared to the acceleration in the first case:

(Multiple Choice)

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Question 40

Showing 21 - 40 of 98

Exam 7: Rotational Motion and Gravitation

An object of mass m is on the surface of the Earth.The distance to the Sun and the Moon are dS and dM,and the masses of the Sun and Moon are MS and MM.What is the ratio of the gravitational force from the Sun to that of the Moon on the object?

The end of the cutting cord on a gas-powered weed cutter is 0.21 m in length.If the motor rotates at the rate of 20 rev/s,what is the tangential speed of the end of the cord?

An automobile accelerates from zero to 36.72 m/s in 6.80 s.The wheels have a diameter of 0.450 m.What is the average angular acceleration of each wheel?

A ventilation fan has blades 0.25 m in radius rotating at 20 rpm.What is the tangential speed of each blade tip?

A 0.12-m-radius grinding wheel takes 6.0 s to speed up from 2.0 rad/s to 11.0 rad/s.What is the wheel's average angular acceleration?

An artificial Earth satellite in an elliptical orbit has its greatest centripetal acceleration when it is at what location?

An object of mass 0.50 kg weighs 2.0 N when it is 1.0 × 106 m above the surface of Planet X.The radius of the planet is 4.0 × 106 m.What free-fall acceleration will the 0.50-kg object experience when at the surface of Planet X?

A satellite is in a circular orbit about the Earth at a distance of two Earth radii above the surface.What is the speed of the satellite? (The radius of the Earth is 6.4 × 106 m,and G = 6.67 × 10−11 N × m2/kg2. )

When a point on the rim of a 0.30-m-radius wheel experiences a centripetal acceleration of 4.0 m/s2,what tangential acceleration does that point experience?

An asteroid is in orbit at 4 times the Earth's distance from the Sun.What is its period of revolution?

Suppose the gravitational potential energy for a mass at an altitude of one Earth radius is PE1 and at two Earth radii is PE2.How do the absolute values of these potential energies compare?

The escape speed from the surface of the Earth is 11.2 km/s.Estimate the escape speed for a spacecraft from the surface of the Moon.The Moon has a mass 1/81 that of Earth and a radius 0.25 that of Earth.

If the mass of Mars is 0.107 times that of Earth,and its radius is 0.530 that of Earth,estimate the gravitational acceleration g at the surface of Mars.(gearth = 9.80 m/s2)

For a point on a spinning disc in uniform circular motion,which of the following is not constant?

A ceiling fan is turned on and reaches an angular speed of 120 rev/min in 20.0 s.It is then turned off and coasts to a stop in 40.0 s.In the 60.0 s of rotation,through how many revolutions did the fan turn?

A car is going around a racetrack at constant speed.The curves around the track have different radii.In which turn is the magnitude of the car's acceleration the greatest?

A 0.650-kg object is swung in a circular path and in a vertical plane on a 0.500-m-length string.If the angular speed at the bottom is 8.00 rad/s,what is the tension in the string when the object is at the bottom of the circle?

An object of mass 0.50 kg is transported to the surface of Planet X where the object's weight is measured to be 20 N.The radius of the planet is 6.0 × 106 m.What is the mass of Planet X? (G = 6.67 × 10−11 N ⋅ m2/kg2)

A wheel is rotated about a horizontal axle at a constant angular speed.Next it is rotated in the opposite direction with the same angular speed.The acceleration at a point on the top of the wheel in the second case as compared to the acceleration in the first case:

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An object of mass m is on the surface of the Earth.The distance to the Sun and the Moon are d_S and d_M,and the masses of the Sun and Moon are M_S and M_M.What is the ratio of the gravitational force from the Sun to that of the Moon on the object?

An object of mass 0.50 kg weighs 2.0 N when it is 1.0 × 10⁶ m above the surface of Planet X.The radius of the planet is 4.0 × 10⁶ m.What free-fall acceleration will the 0.50-kg object experience when at the surface of Planet X?

A satellite is in a circular orbit about the Earth at a distance of two Earth radii above the surface.What is the speed of the satellite? (The radius of the Earth is 6.4 × 10⁶ m,and G = 6.67 × 10−¹¹ N × m²/kg². )

When a point on the rim of a 0.30-m-radius wheel experiences a centripetal acceleration of 4.0 m/s²,what tangential acceleration does that point experience?

Suppose the gravitational potential energy for a mass at an altitude of one Earth radius is PE₁ and at two Earth radii is PE₂.How do the absolute values of these potential energies compare?

If the mass of Mars is 0.107 times that of Earth,and its radius is 0.530 that of Earth,estimate the gravitational acceleration g at the surface of Mars.(g_earth = 9.80 m/s²)

An object of mass 0.50 kg is transported to the surface of Planet X where the object's weight is measured to be 20 N.The radius of the planet is 6.0 × 10⁶ m.What is the mass of Planet X? (G = 6.67 × 10−¹¹ N ⋅ m²/kg²)