Mass A is initially moving with some unknown velocity in the +x-direction. Mass

Question

Mass A is initially moving with some unknown velocity in the +x-direction. Mass B is twice as massive as mass A and initially at rest. The two objects collide, and after the collision, they move together with a speed of 9 m/s in the +x-direction. Determine the initial velocity (in m/s) of mass A.
Mass A is initially moving with some unknown velocity in the +x-direction. Mass B is twice as massive as mass A and initially at rest. The two objects collide, and after the collision, they move together with a speed of 9 m/s in the +x-direction. Determine the initial velocity (in m/s) of mass A.
Mass A is initially moving with some unknown velocity in the +x-direction. Mass B is twice as massive as mass A and initially at rest. The two objects collide, and after the collision, they move together with a speed of 9 m/s in the +x-direction. Determine the initial velocity (in m/s) of mass A.

Explanation / Answer

mA = m and mB = 2 m

Applying momentum conservation,

pi = pf

mA vAi + mB vBi = (mA + mB) v

(m v) + (2m x 0) = (2m + m) (9)

v = 3 x 9 = 27 m/s .....Ans

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