An Arrow (0.5 kg) travels with velocity 10 m/s to the right when it pierces an apple (2 kg) which is initially at rest. After the collision, the arrow and the apple are stuck together. Assume that no external forces are present and therefore the momentum for the system is conserved. What is the final velocity (in m/s) of apple and arrow after the collision

The final velocity of apple and arrow after the collision is 2 m/s.

Explanation:

Given that,

Mass of an arrow, m = 0.5 kg

Initial velocity of the arrow, v = 10 m/s

Mass of an apple, m' = 2 kg

Initial velocity of the arrow, v' = 0 (at rest)

We need to find the final velocity of apple and arrow after the collision. After the collision, the arrow and the apple are stuck together. It is a case of inelastic collision. Let V is the final velocity of apple and arrow after the collision. Using the conservation of linear momentum as :

So, the final velocity of apple and arrow after the collision is 2 m/s.

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c. newton's third law of motion