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A 2.40 kg pool ball is moving to the left with a speed of 3.70 m/s without friction. If it experiences an impulse of -4.00 Ns, what is the object's speed and direction after the impulse occurs? 5.37 m/s to the left 2.03 m/s to the right 3.40 m/s to the left 11.4 m/s to the right

Question

A 2.40 kg pool ball is moving to the left with a speed of 3.70 m/s without friction. If it experiences an impulse of -4.00 Ns, what is the object's speed and direction after the impulse occurs? 5.37 m/s to the left 2.03 m/s to the right 3.40 m/s to the left 11.4 m/s to the right

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Solution

First, we need to understand the concept of impulse. Impulse is the change in momentum of an object when a force is applied over a period of time. It is calculated by multiplying the force by the time it is applied, and it is equal to the change in momentum of the object. In this case, the impulse is given as -4.00 Ns.

The initial momentum of the pool ball can be calculated by multiplying its mass by its velocity. The mass is 2.40 kg and the velocity is 3.70 m/s (to the left, so we'll consider it as negative). Therefore, the initial momentum is:

Initial momentum = mass x velocity = 2.40 kg x -3.70 m/s = -8.88 kg m/s

The final momentum can be calculated by adding the impulse to the initial momentum:

Final momentum = Initial momentum + Impulse = -8.88 kg m/s + (-4.00 Ns) = -12.88 kg m/s

The final velocity of the pool ball can be calculated by dividing the final momentum by the mass:

Final velocity = Final momentum / mass = -12.88 kg m/s / 2.40 kg = -5.37 m/s

The negative sign indicates that the direction is to the left. Therefore, the object's speed after the impulse occurs is 5.37 m/s to the left.

This problem has been solved

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