need help with part A Constants Part A Two asteroids strike head-on before the c

Question

need help with part A

Constants Part A Two asteroids strike head-on before the collision asteroid A (mA 83-1012 kg ) has velocity 33 km/s and asteroid B imn 129 1013 kg) has velocity 14 km/s in the opposite direction. If the asteroids stick together, what is the magnitude of the velocity of the new asteroid after the collision? Express your answer to two significant figures and include the appropriate units km .471 Subr Previous Answers Request Answer Incorrect; Try Again; 4 attempts remaining: no points deducted Part B as KNE If the asteroids stick together what is the direction of the velocity of the new asteroid after the colilision? pyrignt gal in the original direction of asteroid A

Explanation / Answer

Apply conservation of momentum to the collision
Taking the initial direction of A as +ve (Vb = -1.40km/s)

before the collision
(8.3*1012kg x 3.30km/s) + (1.29*1013kg x (-1.40km/s)) = 9.33*1012 kg.km/s
after they are joined
(8.3*1012 + 1.29*1013)kg x Vf = (2.12*1013 x Vf) kg.km/s

before the collision = after the collision
9.33*1012 = 2.12*1013 x Vf
Vf =0.44km/s

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