# Gravitational Potential Energy. Kepler Laws

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8.2Gravitational Potential Energy. Kepler Laws

## Gravitational Potential Energy. Kepler Laws Revision Questions

1) What is the minimum launching velocity (in m/s) a rocket must have to become a Moon's artificial satellite if it is launched from Moon's surface? Take G = 6.674 × 10-11 N × m2/ kg2, MMoon = 7.348 × 1022 kg and RMoon = 1737 km.

1. 282 m/a
2. 5313 m/s
3. 2823 m/s
4. 1680 m/s

2) An object is launched at 8 km/s from Mars surface. What happens to this object after its launch?

(Mass of Mars is 6.41 × 1023 kg, radius of Mars is 3389.5 km and its distance from the Sun is 225 million km. Also take mass of the Sun equal to 1.989 × 1030 kg.)

1. It falls again on Mars surface
2. It turns into an artificial satellite of Mars
3. It moves like a planet around the Sun
4. It leaves our solar system and goes into deep space

3) The period of rotation around the Earth of a 400 t asteroid is 2 days. How far is it from Earth's centre? Take MEarth = 5.9724 × 1024 kg.

Hint! Consider the fact that MEarth >> masteroid

1. 98 222 km
2. 947 617 km
3. 9476 km
4. 9822 km

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