Question

Zero, a hypothetical planet, has a mass of 4.5 x 1023 kg, a radius of 3.4 x 106 m, and no atmosphere. A 10 kg space probe is to be launched vertically from its surface. (a) If the probe is launched with an initial kinetic energy of 5.0 x 107 J, what will be its kinetic energy when it is 4.0 x 106 m from the center of Zero? (b) If the probe is to achieve a maximum distance of 8.0 x 106 m from the center of Zero, with what initial kinetic energy must it be launched from the surface of Zero?

Answer #1

Solving we get,

Zero, a hypothetical planet, has a mass of 6.0 x 1023
kg, a radius of 3.4 x 106 m, and no atmosphere. A 10 kg
space probe is to be launched vertically from its surface.
(a) If the probe is launched with an initial
kinetic energy of 5.0 x 107 J, what will be its kinetic
energy when it is 4.0 x 106 m from the center of Zero?
(b) If the probe is to achieve a maximum distance
of...

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(a) If the probe is launched with an initial
kinetic energy of 5.0 x 107 J, what will be its kinetic
energy when it is 4.0 x 106 m from the center of Zero?
(b) If the probe is to achieve a maximum distance
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kinetic energy of 5.0 x 107 J, what will be its kinetic
energy when it is 4.0 x 106 m from the center of Zero?
(b) If the probe is to achieve a maximum distance
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