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Problem: The leading theory for the origin of the Moon suggests that a large asteroid the size of Mars struck the Earth. Some of the asteroid material and some of the terrestrial material combined to form the Moon. Assume the combined mass today of the Earth and Moon equals the combined mass of the primitive Earth and the asteroid. Also assume that the asteroid struck the Earth at about 10 km/s. Assume the collision was inelastic.

How much did the Earth's orbital speed change as a result of the collision

Present Earth -

Mass = 5.97 x 10^24

Velocity = 30 km/s

Moon

Mass = .0735 x 10^24

Velocity = 1 km/s

Need velocity of primitive earth

Thank you for any assistance in solving this problem.