A 1.2 kg spring-activated toy slides on a smooth surface along the +x-axis with a speed of 0.5 m/s. At the origin, it explodes into two fragments. Fragment 1 has a mass of 0.4 kg and a speed of 0.9 m/s along the –z-axis. What is the angle θ made between the velocity vector of fragment 2 and the +x-axis?

Explanation:

mass, m = 1.2 kg

initial velocity, u = 0.5 m/s along X axis

mass of first fragment, m1 = 0.4 kg

final velocity of the first fragment, v1 = 0.9 m/s along - Z axis

mass of second fragment, m2 = 1.2 - 0.4 = 0.8 kg

Let the final velocity of the second fragment is v2.

Use conservation of momentum

Angle made with X axis is 0 degree.

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