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Gravity Review. A 100-kg satellite is 200,000 meters above the surface of the Earth. If the radius of the Earth is 6.4E6 meters and its mass is 5.97E24.

Dec 30, 2015

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Page 1: Gravity Review. A 100-kg satellite is 200,000 meters above the surface of the Earth. If the radius of the Earth is 6.4E6 meters and its mass is 5.97E24.

Gravity ReviewGravity Review

Page 2: Gravity Review. A 100-kg satellite is 200,000 meters above the surface of the Earth. If the radius of the Earth is 6.4E6 meters and its mass is 5.97E24.

A 100-kg satellite is 200,000 meters A 100-kg satellite is 200,000 meters above the surface of the Earth. If the above the surface of the Earth. If the radius of the Earth is 6.4E6 meters and radius of the Earth is 6.4E6 meters and its mass is 5.97E24 kg, what is the its mass is 5.97E24 kg, what is the gravitational force acting on the gravitational force acting on the satellite? (G is 6.67E-11)satellite? (G is 6.67E-11)

Page 3: Gravity Review. A 100-kg satellite is 200,000 meters above the surface of the Earth. If the radius of the Earth is 6.4E6 meters and its mass is 5.97E24.

A 100-kg satellite is 200,000 meters A 100-kg satellite is 200,000 meters above the surface of the Earth. If the above the surface of the Earth. If the radius of the Earth is 6.4E6 meters and radius of the Earth is 6.4E6 meters and its mass is 5.97E24 kg, what is the its mass is 5.97E24 kg, what is the centripetal acceleration (m/scentripetal acceleration (m/s22) of the ) of the satellite? (G is 6.67E-11)satellite? (G is 6.67E-11)

Page 4: Gravity Review. A 100-kg satellite is 200,000 meters above the surface of the Earth. If the radius of the Earth is 6.4E6 meters and its mass is 5.97E24.

A 100-kg satellite is 200,000 meters A 100-kg satellite is 200,000 meters above the surface of the Earth. If the above the surface of the Earth. If the radius of the Earth is 6.4E6 meters and radius of the Earth is 6.4E6 meters and its mass is 5.97E24 kg, what is the its mass is 5.97E24 kg, what is the centripetal velocity (m/s) of the centripetal velocity (m/s) of the satellite? (G is 6.67E-11)satellite? (G is 6.67E-11)

Page 5: Gravity Review. A 100-kg satellite is 200,000 meters above the surface of the Earth. If the radius of the Earth is 6.4E6 meters and its mass is 5.97E24.

The centers of two 15.0-kilogram The centers of two 15.0-kilogram spheres are separated by 3.00 meters. spheres are separated by 3.00 meters. The magnitude of the gravitational The magnitude of the gravitational force between the two spheres is force between the two spheres is approximatelyapproximately

A. 1.11 × 10A. 1.11 × 10–10–10 N N

B. 3.34 × 10B. 3.34 × 10–10–10 N N

C. 1.67 × 10C. 1.67 × 10–9–9 N N

D. 5.00 × 10D. 5.00 × 10–9–9 N N

Page 6: Gravity Review. A 100-kg satellite is 200,000 meters above the surface of the Earth. If the radius of the Earth is 6.4E6 meters and its mass is 5.97E24.

The radius of Mars is approximately one-The radius of Mars is approximately one-half the radius of Earth, and the mass of half the radius of Earth, and the mass of Mars is approximately one-tenth the mass Mars is approximately one-tenth the mass of Earth. Compared to the acceleration due of Earth. Compared to the acceleration due to gravity on the surface of Earth, the to gravity on the surface of Earth, the acceleration due to gravity on the surface of acceleration due to gravity on the surface of Mars isMars is

A. smallerA. smaller

B. largerB. larger

C. the sameC. the same

Page 7: Gravity Review. A 100-kg satellite is 200,000 meters above the surface of the Earth. If the radius of the Earth is 6.4E6 meters and its mass is 5.97E24.

A planet is orbiting a star that is about A planet is orbiting a star that is about 10 times the size of our sun. If the star 10 times the size of our sun. If the star were to collapse and become a black were to collapse and become a black hole, what would happen to the hole, what would happen to the gravitational attraction between the gravitational attraction between the star and the planet?star and the planet?

A. smallerA. smaller

B. largerB. larger

C. the sameC. the same

Page 8: Gravity Review. A 100-kg satellite is 200,000 meters above the surface of the Earth. If the radius of the Earth is 6.4E6 meters and its mass is 5.97E24.

If the Earth were twice as massive If the Earth were twice as massive as it is now, then the gravitational as it is now, then the gravitational force between it and the Sun would force between it and the Sun would bebe

A. the sameA. the same

B. twice as greatB. twice as great

C. half as greatC. half as great

D. four times as greatD. four times as great

Page 9: Gravity Review. A 100-kg satellite is 200,000 meters above the surface of the Earth. If the radius of the Earth is 6.4E6 meters and its mass is 5.97E24.

Compared to the mass of an object Compared to the mass of an object at the surface of the Earth, the at the surface of the Earth, the mass of the object a distance of two mass of the object a distance of two Earth radii from the center of the Earth radii from the center of the Earth isEarth is

A. the sameA. the sameB. twice as greatB. twice as greatC. one-half as greatC. one-half as greatD. one-fourth as greatD. one-fourth as great

Page 10: Gravity Review. A 100-kg satellite is 200,000 meters above the surface of the Earth. If the radius of the Earth is 6.4E6 meters and its mass is 5.97E24.

Two objects of equal mass are a fixed Two objects of equal mass are a fixed distance apart. If the mass of each distance apart. If the mass of each object could be tripled, the object could be tripled, the gravitational force between the objects gravitational force between the objects wouldwould

A. decrease by one-thirdA. decrease by one-thirdB. tripleB. tripleC. decrease by one-ninthC. decrease by one-ninthD. increase 9 timesD. increase 9 times

Page 11: Gravity Review. A 100-kg satellite is 200,000 meters above the surface of the Earth. If the radius of the Earth is 6.4E6 meters and its mass is 5.97E24.

Which graph represents the relationship between Which graph represents the relationship between the magnitude of the gravitational force exerted the magnitude of the gravitational force exerted by Earth on a spacecraft and the distance by Earth on a spacecraft and the distance between the center of the spacecraft and center between the center of the spacecraft and center of Earth?of Earth?

A. B. C. D. A. B. C. D.

Page 12: Gravity Review. A 100-kg satellite is 200,000 meters above the surface of the Earth. If the radius of the Earth is 6.4E6 meters and its mass is 5.97E24.

What is the period of orbit of a What is the period of orbit of a communications satellite in communications satellite in geosynchronous orbit about Earth?geosynchronous orbit about Earth?

A. 1 yearA. 1 year

B. 24 hoursB. 24 hours

C. 12 hoursC. 12 hours

D. 60 minutesD. 60 minutes

Page 13: Gravity Review. A 100-kg satellite is 200,000 meters above the surface of the Earth. If the radius of the Earth is 6.4E6 meters and its mass is 5.97E24.

An artificial satellite makes 4 complete An artificial satellite makes 4 complete revolutions about the Earth in 8 hours. revolutions about the Earth in 8 hours. The period of revolution of the satellite The period of revolution of the satellite isis

A. ½ hourA. ½ hour

B. 2 hoursB. 2 hours

C. 8 hoursC. 8 hours

D. 32 hoursD. 32 hours

Page 14: Gravity Review. A 100-kg satellite is 200,000 meters above the surface of the Earth. If the radius of the Earth is 6.4E6 meters and its mass is 5.97E24.

In order to experience In order to experience weightlessness in a spaceship, an weightlessness in a spaceship, an astronaut must have an astronaut must have an acceleration that isacceleration that is

A. less than that of the shipA. less than that of the ship

B. more than that of the shipB. more than that of the ship

C. the same as that of the shipC. the same as that of the ship

Page 15: Gravity Review. A 100-kg satellite is 200,000 meters above the surface of the Earth. If the radius of the Earth is 6.4E6 meters and its mass is 5.97E24.

Which diagram best represents the gravitational Which diagram best represents the gravitational forces, forces, Fg, between a satellite, S, and Earth?Fg, between a satellite, S, and Earth?

A. B. C. D. A. B. C. D.

Page 16: Gravity Review. A 100-kg satellite is 200,000 meters above the surface of the Earth. If the radius of the Earth is 6.4E6 meters and its mass is 5.97E24.

The shape of the Earth's orbit isThe shape of the Earth's orbit is

A. circularA. circular

B. ellipticalB. elliptical

C. helicalC. helical

D. sphericalD. spherical

Page 17: Gravity Review. A 100-kg satellite is 200,000 meters above the surface of the Earth. If the radius of the Earth is 6.4E6 meters and its mass is 5.97E24.

The comet Hyakutake, seen in the The comet Hyakutake, seen in the Earth's sky in 1996, will take more Earth's sky in 1996, will take more than 10,000 years to complete its orbit. than 10,000 years to complete its orbit. Which object is at a focus of the Which object is at a focus of the comet's orbit?comet's orbit?

A. EarthA. Earth

B. SunB. Sun

C. MoonC. Moon

D. JupiterD. Jupiter

Page 18: Gravity Review. A 100-kg satellite is 200,000 meters above the surface of the Earth. If the radius of the Earth is 6.4E6 meters and its mass is 5.97E24.

Compared to the time the planet takes Compared to the time the planet takes to move from to move from C to D, the time it takes to C to D, the time it takes to move from A to B ismove from A to B is

A. lessA. less

B. greaterB. greater

C. the sameC. the same

Area 1 equals area 2.Area 1 equals area 2.

Page 19: Gravity Review. A 100-kg satellite is 200,000 meters above the surface of the Earth. If the radius of the Earth is 6.4E6 meters and its mass is 5.97E24.

Which satellite has the greatest Which satellite has the greatest tangential velocity (m/s)?tangential velocity (m/s)?

A. AA. A

B. BB. B

C. CC. C

D. DD. D

Page 20: Gravity Review. A 100-kg satellite is 200,000 meters above the surface of the Earth. If the radius of the Earth is 6.4E6 meters and its mass is 5.97E24.

Which satellite has the longest Which satellite has the longest period?period?

A. AA. A

B. BB. B

C. CC. C

D. DD. D

Page 21: Gravity Review. A 100-kg satellite is 200,000 meters above the surface of the Earth. If the radius of the Earth is 6.4E6 meters and its mass is 5.97E24.

At which position in its orbit is the comet's At which position in its orbit is the comet's potential energy the greatest?potential energy the greatest?

A. AA. A

B. BB. B

C. CC. C

D. DD. D