Suppose a child drives a bumper car head on into the side rail, which exerts a f

Question

Suppose a child drives a bumper car head on into the side rail, which exerts a force of 4050N on the car for 0.45s. Use the initial direction of the cars motion as the positive direction.

a) What impusle, in kilogram meters per second is imparted to the car by this force?

b) Find the horizontal components of the final velocity of the bumper car, in meters per second, if its initial velocity was 2.55 m/s and the car plus driver have a mass of 185 kg. You may neglect friction between the car and floor.

Explanation / Answer

A.

Impulse is given by:
I = F*dt

I = (-4050)*0.45 = -1822.5 N-sec

direction will be away from the side rail.

B.

Change in momentum is given by:

dP = m*Vf - m*Vi

Vf = (dP + m*Vi)/m

Vf = (-1822.5 + 185*2.55)/185 = -7.301 m/sec

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