\(\begin{array} { | c | c | c | c | c | } \hline & \text { Mass } & \text { Radius } & \text { Orbital radius } & \text { Orbital period } \\ \hline \text { Moon A } & 4.0 \times 10 ^ { 20 } \mathrm {~kg} & \text { unknown } & 2.0 \times 10 ^ { 8 } \mathrm {~m} & 4.0 \times 10 ^ { 6 } \mathrm {~s} \\ \hline \text { Moon B } & 1.5 \times 10 ^ { 20 } \mathrm {~kg} & 2.0 \times 10 ^ { 5 } \mathrm {~m} & 3.0 \times 10 ^ { 8 } \mathrm {~m} & \text { unknown } \\ \hline \end{array}\) Mithra is an unknown planet that has two airless moons, A and B, in circular orbits around it. The table summarizes the hypothetical data about these moons. If you dropped a laser at the surface of Moon B, at what rate would it accelerate toward the ground? (G = 6.67 × 10-11 N ∙ m2/kg2)

A) 0.10 m/s2 B) 0.15 m/s2 C) 0.20 m/s2 D) 0.25 m/s2 E) 0.30 m/s2 A) 0.10 m/s2 B) 0.15 m/s2 C) 0.20 m/s2 D) 0.25 m/s2 E) 0.30 m/s2

Exam 6: Gravity

The International Space Station is orbiting at an altitude of about 370 km above the earth's surface. The mass of the earth is 5.97 × 10²⁴ kg, the radius of the earth is 6.38 × 10⁶ m, and G = 6.67 × 10^-11 N ∙ m²/kg². Assume a circular orbit. (a) What is the period of the International Space Station's orbit? (b) What is the speed of the International Space Station in its orbit?

(Short Answer)

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Question 21

By how many newtons does the weight of a 100-kg person decrease when he goes from sea level to mountain top at an altitude of 5000 m? The mean radius of the earth is 6.38 × 10⁶ m.

(Multiple Choice)

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Question 22

Two identical tiny balls of highly compressed matter are 1.50 m apart. When released in an orbiting space station, they accelerate toward each other at 2.00 cm/s². What is the mass of each of them? (G = 6.67 × 10^-11 N ∙ m²/kg²)

(Short Answer)

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Question 23

Two small balls, A and B, attract each other gravitationally with a force of magnitude F. If we now double both masses and the separation of the balls, what will now be the magnitude of the attractive force on each one?

(Multiple Choice)

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Question 24

Two planets have the same surface gravity, but planet B has twice the mass of planet A. If planet A has radius r, what is the radius of planet B?

(Multiple Choice)

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Question 25

A car goes around a circular curve on a horizontal road at constant speed. What is the direction of the friction force on the car due to the road?

(Multiple Choice)

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Question 26

A car moving at a steady 10 m/s on a level highway encounters a bump that has a circular cross-section with a radius of 30 m. The car maintains its speed over the bump. What is the normal force exerted by the seat of the car on a 60.0-kg passenger when the car is at the top of the bump?

(Multiple Choice)

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Question 27

From what height above the surface of the earth should an object be dropped to initially experience an acceleration of 0.54g? (G = 6.67 × 10^-1¹ N ∙ m²/kg², M_earth = 5.97 × 10²⁴ kg, R_earth = 6.38 × 10⁶ m)

(Multiple Choice)

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Question 28

A future use of space stations may be to provide hospitals for severely burned persons. It is very painful for a badly burned person on Earth to lie in bed. In a space station, the effect of gravity can be reduced or even eliminated. How long should each rotation take for a doughnut-shaped hospital of 200-m radius so that persons on the outer perimeter would experience 1/10 the normal gravity of Earth?

(Multiple Choice)

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Question 29

A satellite orbits the Earth once every 6.0 hours in a circle. What are the magnitude and direction of the acceleration of the satellite? (G = 6.67 × 10^-11 N ∙ m²/kg², M_earth = 5.97 × 10²⁴ kg)

(Short Answer)

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Question 30

What is the proper banking angle for an Olympic bobsled to negotiate a 100-m radius turn at 35 m/s without skidding?

(Multiple Choice)

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Question 31

In another solar system, a planet has an airless moon Zygo that is 4.0 × 10⁵ m in diameter. Experiments reveal that a freely falling object at the surface of Zygo accelerates at 0.20 m/s². What is the mass of Zygo? (G = 6.67 × 10^-11 N ∙ m²/kg²)

(Multiple Choice)

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Question 32

What is the gravitational force acting on a 59-kg person due to another 59-kg person standing 2.0 m away? We can model each person as a small sphere. (G = 6.67 × 10^-11 N ∙ m²/kg²)

(Multiple Choice)

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Question 33

A 0.50-kg toy is attached to the end of a 1.0-m very light string. The toy is whirled in a horizontal circular path on a frictionless tabletop. If the maximum tension that the string can withstand without breaking is 350 N. What is the maximum speed the mass can have without breaking the string?

(Multiple Choice)

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Question 34

A 1000-kg car is slowly picking up speed as it goes around a horizontal unbanked curve whose radius is 100 m. The coefficient of static friction between the tires and the road is 0.35. At what speed will the car begin to skid sideways?

(Multiple Choice)

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Question 35

A large telescope of mass 8410 kg is in a circular orbit around the earth, making one revolution every 927 minutes. What is the magnitude of the gravitational force exerted on the satellite by the earth? (G = 6.67 × 10^-11 N ∙ m²/kg², M_earth = 6.0 × 10²⁴ kg)

(Short Answer)

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Question 36

If Earth had twice its present mass but it orbited at the same distance from the sun as it does now, its orbital period would be

(Multiple Choice)

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Question 37

A satellite having orbital speed V orbits a planet of mass M. If the planet had half as much mass, the orbital speed of the satellite at the same distance from the center would be

(Multiple Choice)

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Question 38

Mass Radius Orbital radius Orbital period Moon A 4.0\times1 unknown 2.0\times1 4.0\times1 Moon B 1.5\times1 2.0\times1 3.0\times1 unknown Mithra is an unknown planet that has two airless moons, A and B, in circular orbits around it. The table summarizes the hypothetical data about these moons. If you dropped a laser at the surface of Moon B, at what rate would it accelerate toward the ground? (G = 6.67 × 10^-11 N ∙ m²/kg²)

(Multiple Choice)

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Question 39

A 2.10-kg hammer is transported to the Moon. The radius of the Moon is 1.74 × 10⁶ m, its mass is 7.35 × 10²² kg, and G = 6.67 × 10^-11 N ∙ m²/kg². How much does the hammer weigh on Earth and on the Moon?

(Short Answer)

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Question 40

Showing 21 - 40 of 96

Exam 6: Gravity

By how many newtons does the weight of a 100-kg person decrease when he goes from sea level to mountain top at an altitude of 5000 m? The mean radius of the earth is 6.38 × 106 m.

Two identical tiny balls of highly compressed matter are 1.50 m apart. When released in an orbiting space station, they accelerate toward each other at 2.00 cm/s2. What is the mass of each of them? (G = 6.67 × 10-11 N ∙ m2/kg2)

Two small balls, A and B, attract each other gravitationally with a force of magnitude F. If we now double both masses and the separation of the balls, what will now be the magnitude of the attractive force on each one?

Two planets have the same surface gravity, but planet B has twice the mass of planet A. If planet A has radius r, what is the radius of planet B?

A car goes around a circular curve on a horizontal road at constant speed. What is the direction of the friction force on the car due to the road?

A car moving at a steady 10 m/s on a level highway encounters a bump that has a circular cross-section with a radius of 30 m. The car maintains its speed over the bump. What is the normal force exerted by the seat of the car on a 60.0-kg passenger when the car is at the top of the bump?

From what height above the surface of the earth should an object be dropped to initially experience an acceleration of 0.54g? (G = 6.67 × 10-11 N ∙ m2/kg2, Mearth = 5.97 × 1024 kg, Rearth = 6.38 × 106 m)

A satellite orbits the Earth once every 6.0 hours in a circle. What are the magnitude and direction of the acceleration of the satellite? (G = 6.67 × 10-11 N ∙ m2/kg2, Mearth = 5.97 × 1024 kg)

What is the proper banking angle for an Olympic bobsled to negotiate a 100-m radius turn at 35 m/s without skidding?

In another solar system, a planet has an airless moon Zygo that is 4.0 × 105 m in diameter. Experiments reveal that a freely falling object at the surface of Zygo accelerates at 0.20 m/s2. What is the mass of Zygo? (G = 6.67 × 10-11 N ∙ m2/kg2)

What is the gravitational force acting on a 59-kg person due to another 59-kg person standing 2.0 m away? We can model each person as a small sphere. (G = 6.67 × 10-11 N ∙ m2/kg2)

A 0.50-kg toy is attached to the end of a 1.0-m very light string. The toy is whirled in a horizontal circular path on a frictionless tabletop. If the maximum tension that the string can withstand without breaking is 350 N. What is the maximum speed the mass can have without breaking the string?

A 1000-kg car is slowly picking up speed as it goes around a horizontal unbanked curve whose radius is 100 m. The coefficient of static friction between the tires and the road is 0.35. At what speed will the car begin to skid sideways?

A large telescope of mass 8410 kg is in a circular orbit around the earth, making one revolution every 927 minutes. What is the magnitude of the gravitational force exerted on the satellite by the earth? (G = 6.67 × 10-11 N ∙ m2/kg2, Mearth = 6.0 × 1024 kg)

If Earth had twice its present mass but it orbited at the same distance from the sun as it does now, its orbital period would be

A satellite having orbital speed V orbits a planet of mass M. If the planet had half as much mass, the orbital speed of the satellite at the same distance from the center would be

A 2.10-kg hammer is transported to the Moon. The radius of the Moon is 1.74 × 106 m, its mass is 7.35 × 1022 kg, and G = 6.67 × 10-11 N ∙ m2/kg2. How much does the hammer weigh on Earth and on the Moon?

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By how many newtons does the weight of a 100-kg person decrease when he goes from sea level to mountain top at an altitude of 5000 m? The mean radius of the earth is 6.38 × 10⁶ m.

Two identical tiny balls of highly compressed matter are 1.50 m apart. When released in an orbiting space station, they accelerate toward each other at 2.00 cm/s². What is the mass of each of them? (G = 6.67 × 10^-11 N ∙ m²/kg²)

From what height above the surface of the earth should an object be dropped to initially experience an acceleration of 0.54g? (G = 6.67 × 10^-1¹ N ∙ m²/kg², M_earth = 5.97 × 10²⁴ kg, R_earth = 6.38 × 10⁶ m)

A satellite orbits the Earth once every 6.0 hours in a circle. What are the magnitude and direction of the acceleration of the satellite? (G = 6.67 × 10^-11 N ∙ m²/kg², M_earth = 5.97 × 10²⁴ kg)

In another solar system, a planet has an airless moon Zygo that is 4.0 × 10⁵ m in diameter. Experiments reveal that a freely falling object at the surface of Zygo accelerates at 0.20 m/s². What is the mass of Zygo? (G = 6.67 × 10^-11 N ∙ m²/kg²)

What is the gravitational force acting on a 59-kg person due to another 59-kg person standing 2.0 m away? We can model each person as a small sphere. (G = 6.67 × 10^-11 N ∙ m²/kg²)

A large telescope of mass 8410 kg is in a circular orbit around the earth, making one revolution every 927 minutes. What is the magnitude of the gravitational force exerted on the satellite by the earth? (G = 6.67 × 10^-11 N ∙ m²/kg², M_earth = 6.0 × 10²⁴ kg)

A 2.10-kg hammer is transported to the Moon. The radius of the Moon is 1.74 × 10⁶ m, its mass is 7.35 × 10²² kg, and G = 6.67 × 10^-11 N ∙ m²/kg². How much does the hammer weigh on Earth and on the Moon?