Zero, a hypothetical planet, has a mass of 5.3 x 1023 kg, a radius of 2.8 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?

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Zero, a hypothetical planet, has a mass of 5.3 x 1023
kg, a radius of 2.8 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?
(a) Number:
(b) Number:
i
i
Units:
Units:
<>
<>
Transcribed Image Text:Zero, a hypothetical planet, has a mass of 5.3 x 1023 kg, a radius of 2.8 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? (a) Number: (b) Number: i i Units: Units: <> <>
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