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16 September, 07:53

An object is moving but we don't know its mass or velocity. A force of 20 newtons to the right

is exerted on the object for 20 seconds. What is the (vector) change in linear momentum for the

body as a result of this impulse?

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  1. 16 September, 08:01
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    The impulse is (force) x (time) = (20 N) x (20 sec) = 400 N-sec

    When we grind through the units, we find that the [newton-second]

    is exactly the same as the [kilogram-meter/sec] unit-wise, and once

    we know that, it doesn't surprise us to learn that impulse is equivalent

    to a change in momentum (mass x speed ... also kg-m/s).

    So this impulse exerted on the moving object adds 400 kg-m/s of

    linear momentum to its motion, directed to the right. That may or

    may not be the total change in its momentum during that 20-sec,

    because our 20-N may not be the only force acting on it.
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