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11 June, 22:23

A. 10 kg hockey puck is at rest. It encounters a force of 20 N for 0.2 seconds that sets it in motion. Over the next 2 seconds it encounters 0.4 Newton's of resistance force. Finally it encounters a final force of 24 N for 0.05 seconds in the direction of motion. What is the final velocity of the hockey puck?

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  1. 12 June, 00:52
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    The mechanical impulse, of a force, is a vectorial magnitude that relates this force to the duration of its performance.

    We have then:

    I = F * delta t.

    Since the impulse is a vector, we can then calculate the vector sum as:

    I = ((20) * (0.2)) - ((0.4) * (2)) + ((24) * (0.05))

    I = 4.4 N. s

    Then, by definition:

    I = delta p

    I = delta m * v

    I = m * delta v

    I = m * (v-0)

    Clearing v:

    v = I / m

    v = (4.4) / (0.10)

    v = 44 m / s

    answer:

    the final velocity of the hockey puck is

    v = 44 m / s
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