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A block sliding down a wedge

10. A small block of mass m1 = 0.480 kg is released from rest at the top of a curved-shaped frictionless wedge of mass m2 = 3.00 kg, which sits on a frictionless horizontal surface as in Figure (see attachment). When the block leaves the wedge, its velocity is measured to be v1 = 3.60 m/s to the right, as shown in Figure.

(a) What is the velocity of the wedge after the block reaches the horizontal surface?

(b) What is the height h of the wedge?

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Principles used:

1. Law of conservation of linear momentum : In absence of any external force (isolated system), total momentum of the system remains constant.

2. Law of conservation of mechanical energy : When only conservatives forces are acting on the system, total mechanical energy of the system is conserved.

In the present problem, when the block is at rest at the ...

Solution Summary

This problem on a block sliding down a curved wedge resting on a friction less surface is solved using the law of conservation of linear momentum and law of conservation of energy.

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