A 2 kg car moving towards the right at 4 m/s collides head on with an 8 kg car m

Question

A 2 kg car moving towards the right at 4 m/s collides head on with an 8 kg car moving towards the left at 2 m/s, and they stick together. After the collision, the velocity of the combined bodies is Answer 2.4 m/s towards the left. 2.4 m/s towards the right. 0.8 m/s towards the left. 0 0.8 m/s towards the right. A 2 kg car moving towards the right at 4 m/s collides head on with an 8 kg car moving towards the left at 2 m/s, and they stick together. After the collision, the velocity of the combined bodies is 2.4 m/s towards the left. 2.4 m/s towards the right. 0.8 m/s towards the left. 0 0.8 m/s towards the right. 2.4 m/s towards the left. 2.4 m/s towards the right. 0.8 m/s towards the left. 0 0.8 m/s towards the right.

Explanation / Answer

Let right is +ve and left is -ve

Initial Momentum = Final Momentum

Therefore

2*4 - 8*2 = (8+2)*V

V = -8/10

= - 0.8 m/sec

- ve sign means towards Left

0.8 m/s towards the left.

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