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Zero, a hypothetical planet, has a mass of 4.0×1023 kg, a radius of 3.2×106 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 5.0×107 J, what will be its kinetic energy when it is 4.0×106 m from the center of Zero? (b) If the probe is to achieve a maximum distance of 8.0×106 m from the center of Zero, with what initial kinetic energy must it be launched from the surface of Zero? (a) Number: Units: (b) Number: Units:

Zero, a hypothetical planet, has a mass of 4.0×1023 kg, a radius of 3.2×106 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 5.0×107 J, what will be its kinetic energy when it is 4.0×106 m from the center of Zero? (b) If the probe is to achieve a maximum distance of 8.0×106 m from the center of Zero, with what initial kinetic energy must it be launched from the surface of Zero? (a) Number: Units: (b) Number: Units:

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Zero, a hypothetical planet, has a mass of 4.0 × 10 23 k g , a radius of 3.2 × 10 6 m , and no atmosphere. A 10 k g space probe is to be launched vertically from its surface. (a) If the probe is launched with an initial kinetic energy of 5.0 × 10 7 J , what will be its kinetic energy when it is 4.0 × 10 6 m from the center of Zero? (b) If the probe is to achieve a maximum distance of 8.0 × 10 6 m from the center of Zero, with what initial kinetic energy must it be launched from the surface of Zero? (a) Number: i ◻ Units: ◻ (b) Number: i i Units: ◻

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