Question

A box collides with a ball as shown in the diagram below. After the collision, what
will the final momentum of the ball be?
BEFORE COLLISION
AFTER COLLISION
15 kgm/s
3 kgm/s
5 kgm/s
_kgm/s
O 18 kg * m/s
O 5 kg * m/s
O 10 kg * m/s
O 13 kg * m/s

Answer 1

The final momentum of the ball after collision is 13 kg.m/s.

The given parameters;

• initial momentum of the box, P₁ = 15 kg.m/s
• initial momentum of the ball, P₂ = 3 kg.m/s
• final momentum of the ball, P₃ = 5 kg.m/s

Let the final momentum of the ball after collision = P₄

Apply the principle of conservation of linear momentum to determine the final momentum of the ball after collision;

total momentum before collision = total momentum after collision

P₁ + P₂ = P₃ + P₄

15 + 3 = 5 + P₄

18 = 5 + P₄

18 - 5 = P₄

13  = P₄

Thus, the final momentum of the ball after collision is 13 kg.m/s.

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