A block of mass mb = 1.93 kg slides to the right at a speed of 2.71 m/s on a fri

Question

A block of mass mb = 1.93 kg slides to the right at a speed of 2.71 m/s on a frictionless horizontal surface, as shown in the figure. It "collides" with a wedge of mass mw, which moves to the left at a speed of 1.11 m/s. The wedge is shaped so that the block slides seamlessly up the Teflon (frictionless!) surface, as the two come together. Relative to the horizontal surface, block and wedge are moving with a common velocity vb+w at the instant the block stops sliding up the wedge.

a) If the block's center of mass rises by a distance h = 0.405 m, what is the mass of the wedge?

Explanation / Answer

Use conservation of energy and conservation of momentum to make two simultaneous equations and solve for thr mass and vb+w. The answers come out to be: a) 8.7kg b) 0.91 m/s

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