Zero, a hypothetical planet, has a mass of 3.0 times 10^23 kg, a radius of 3.0 t
ID: 1601379 • Letter: Z
Question
Zero, a hypothetical planet, has a mass of 3.0 times 10^23 kg, a radius of 3.0 times 10^5 m, and no atmosphere A 16 kg space probe is to be launched vertically from its surface. If the probe is launched with an initial kinetic energy 5.0 times 10^7 J, what will be its kinetic energy when it is 4.0 times 10^6 m from the center of Zero? If the probe so to achieve a maximum distance of 8.0 times 10^6 m from the center of Zero, with what initial kinetic energy must it be launched from the surface of Zero?Explanation / Answer
a) m1 = 3 * 1023 kg , m2 = 16 kg , d1 = 3 * 106 m , d2 = 4 * 106
KE translated to GPE = ( G m1 m2 / d1 ) - (G m1 m2 / d2 ) = 2.67 *107 J
Kinetic energy = = 5 * 107 - 2.67 *107= 2.33 * 107 J
b) m1 = 3 * 1023 kg , m2 = 16 kg , d1 = 3 * 106 m , d2 = 8 * 106
KE required ( G m1 m2 / d1 ) - (G m1 m2 / d2 ) = 6.67 *107 J
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