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At t= 461 s after midnight, a spacecraft of mass 1900 kg is located at position...

At t= 461 s after midnight, a spacecraft of mass 1900 kg is located at position <3 × 105, 3 × 105, -7 × 105> m, and at that time an asteroid whose mass is 9 × 1015 kg is located at position <8 × 105, -9 × 105, -16 × 105 > m. There are no other objects nearby

(a) Calculate the (vector) force acting on the spacecraft.

(b) At t= 461 s the spacecraft's momentum was p→i, and at the later time t= 472 s its momentum was p→f. Calculate the (vector) change of momentum p→f-p→i

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