Choose the correct alternative.

1. | If the zero of potential energy is at infinity, the total energy of an orbiting satellite is negative of its kinetic energy. |

2. | If the zero of potential energy is at infinity, the total energy of an orbiting satellite is negative of its potential energy. |

3. | The energy required to launch an orbiting satellite out of earth’s gravitational influence is more than the energy required to project a stationary object at the same height (as the satellite) out of earth’s influence. |

4. | Both (1) and (3) are correct. |

Subtopic: Gravitational Potential Energy |

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A rocket is fired vertically with a speed of \(5\) km/s from the earth’s surface. How far from the earth does the rocket go before returning to the earth?

1. \(8\times10^6\) m

2. \(1.6\times10^6\) m

3. \(6.4\times10^6\) m

4. \(12\times10^6\) m

Subtopic: Gravitational Potential Energy |

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A spaceship is stationed on Mars. How much energy must be expended on the spaceship to launch it out of the solar system? (Mass of the space ship = 1000 kg; mass of the sun = 2×${10}^{30}$ kg; mass of mars = 6.4×${10}^{23}$ kg; radius of mars = 3395 km; radius of the orbit of mars = 2.28×${10}^{8}$ km; G = 6.67×${10}^{-11}$$N{m}^{2}k{g}^{-2}$.)

1. 11 × 10^{10} J

2. 6 × 10^{11} J

3. 6.67 × 10^{10} J

4. 7.12 × 10^{11} J

Subtopic: Gravitational Potential Energy |

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A rocket is fired vertically from the surface of mars with a speed of 2 km/s. If 20% of its initial energy is lost due to martian atmospheric resistance, how far will the rocket go from the surface of Mars before returning to it?

(Mass of mars = 6.4×${10}^{23}$ kg; radius of mars = 3395 km; G = 6.67×${10}^{-11}$ $N{m}^{2}k{g}^{-2}.$)

1. 477.2 km

2. 550.5 km

3. 493.9 km

4. 517.3 km

Subtopic: Gravitational Potential Energy |

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