A 3-lb sphere A strikes the frictionless inclined surface of a 9-lb wedge B at a

Question

A 3-lb sphere A strikes the frictionless inclined surface of a 9-lb wedge B at a 90 degree angle with a velocity of magnitude 12 ft/s. The wedge can roll freely on the ground and is initially at rest. Knowing that the coefficient of restitution between the wedge and the sphere is 0.50 and that the inclined surface of the wedge forms an angle theta = 40 degree with the horizontal, determine (a) the velocities of the sphere and of the wedge immediately after impact, (b) the energy lost due to the impact.

Explanation / Answer

a )

VA = 3.820 ft/sec

in the direction of left and upward direction

and

VB = 3.391 ft/sec

in the direction is to the right

b )

the enegry due to the impact is 4.4200 ft-lb

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