A 400 gm stone is thrown with a speed of 20 ms-1 and strikes acar window at an a

Question

A 400 gm stone is thrown with a speed of 20 ms-1 and strikes acar window at an angle of 45 degree to the window. The rock bouncesoff at an angle of 45 degree to the window with the some speed.Determine:

i)            the total change in momentum (magnitude, direction, unit) of thestone.

ii)           Thetotal impulse (magnitude, direction, unit) supplied by thewindow.

iii)         The averageforce (magnitude, direction, unit) exerted by the window on thestone of the interaction only lasted for 0.01 seconds.

Explanation / Answer

as the angle at which the stone is thrown is not given we assumethat the throw is horizontal when it hits the window the angle is 45 degrees the verticalvelocity is even 20m/sec     net velocity is 28.28m/sec a)total change in the velocity is 0.4*202*2kgm/sec=22.6kgm/sec in the direction of the flight after the collision b)total impulse supplied by the window is in the vector change inmomentum c)the average force exerted by the window =impulse/time thecollision lasted =22.6/0.01=2260N

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