A block sliding down a wedge
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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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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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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 ...
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