(6%) Problem 7: The Moon\'s craters are remnants of meteorite collisions. Suppos

Question

(6%) Problem 7: The Moon's craters are remnants of meteorite collisions. Suppose a fairly large asteroid that has a mass of 4.8 x 1012 kg (such an asteroid is about a kilometer across) strikes the Moon at a speed of 16 km/s relative to the Moon. 50% Part (a) At what speed, in meters per second, does the Moon recoil after the perfectly inelastic collision? The mass of the Moon is 7.36 × 1022 kg? 50% Part(b) What is the change in kinetic energy in Joules in the collision? Such an event may have been observed by med eval English monks who reported observing a red glow and subsequent haze about the Moon Grade Summary Deductions 0% Potential 100%! AKE

Explanation / Answer

Given,

let the recoild speed is v

Using law of conservation of momenetum

4.8 X 1012 x 16000 = (4.8 x 1012 + 7.36 x 1022) x v

v = 1.04 x 10-6 m/s

So, the recoil speed of moon is 1.0410-6 m/s

b) kinetic energy lost = iniital kinetic energy - final kinetic energy

kinetic energy lost = 0.5 X 4.8 x 1012x 160002 - 0.5 x (4.8 x 1012+ 7.36 x 1022) (1.04 x 10-6)2

kinetic energy lost = 6.14 x 1020 J

the kinetic energy lost is 6.14 x 1020J

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