Determine the speed of the smaller mass

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The discussion focuses on calculating the speed of a smaller mass (m = 2.30 kg) sliding down a 30.0° incline and colliding elastically with a larger mass (M = 7.10 kg) at rest. The key principles involved are the conservation of momentum and kinetic energy during the elastic collision. To determine the speeds post-collision, one must set up simultaneous equations based on these conservation laws. The incline height of 3.60 m provides the initial potential energy that converts to kinetic energy at the bottom of the incline.

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Gughanath
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A block of mass m = 2.30 kg slides down a 30.0° incline which is 3.60 m high. At the bottom, it strikes a block of mass M = 7.10 kg which is at rest on a horizontal surface, Fig. 7-41. (Assume a smooth transition at the bottom of the incline, an elastic collision, and ignore friction.)
How can I determine the speed of the smaller mass and the greater mass after the colision. This is really confusing me :confused: . please help
 
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In an elastic collision, momentum and kinetic energy are conserved for the system.
 
So from this I should be able to make a simultaneous equation?
 

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