Question

Two trolleys X and Y with momenta 20 Ns and 12 Ns respectively travel along a straight line in opposite directions before collision. After collision the directions of motion of both trolleys are reversed and the magnitude of the momentum of X is 2 Ns. What is the magnitude of the corresponding momentum of Y

Answer 1

Answer on Question #51947, Physics, Other

Question:

Two trolleys X and Y with momenta 20 Ns and 12 Ns respectively travel along a straight line in opposite directions before collision. After collision the directions of motion of both trolleys are reversed and the magnitude of the momentum of X is 2 Ns. What is the magnitude of the corresponding momentum of Y

Answer:

The law of conservation of momentum:

$$p _ {X} + p _ {Y} = p _ {X} ^ {\prime} + p _ {Y} ^ {\prime}$$

$p_{X}, p_{Y}$ are momentums of trolleys before impact, $p_{X}^{\prime}, p_{Y}^{\prime}$ are momentums of trolleys after impact.

$$20 - 12 = -2 + p _ {Y} ^ {\prime}$$ $$p _ {Y} = 10 \text{ Ns}$$

Answer: $10 \text{ Ns}$

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