High School

A 4.00 kg object is moving at 5.00 m/s east. It strikes a 6.00 kg object that is at rest. The objects collide elastically. The velocity of the 4.00 kg object after the collision is in the southwest direction. What is the speed of the 6.00 kg object after the collision?

Answer :

The speed of the 6.00 kg object after the collision is 1.67 m/

Initially the 4 kg object was moving at 5.00 m/s in the east direction, and the 6 kg object was at rest.

The 4 kg object collided elastically with the 6 kg object, and after the collision, the 4 kg object started moving in the southwest direction.

Therefore, there are two components of velocity of the 4 kg object, one in the east direction and the other in the south direction, with the resultant velocity of the object being in the southwest direction.

Therefore, the speed of the 6 kg object after the collision is simply the magnitude of its velocity, which is 3.33 m/s in the east direction. Thus, the speed of the 6.00 kg object after the collision is 1.67 m/s.

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