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Two blocks in a system (b1 & b2) collide inelastically where b1 has a velocity (v)...

Two blocks in a system (b1 & b2) collide inelastically where b1 has a velocity (v) and a small mass (m) and b2 is stationary with a large mass (M). b2 can absorb some of the collision similar to a spring that does not recoil with a stiffness of (k). When the blocks collide they will stick together. The plane that the blocks are moving on is horizontal and frictionless.

1)Find the change in internal energy (delta U)

2)If all of the energy change is stored as potential energy of a spring that cannot recoil find the distance of compression that the spring undergoes in terms of v, m and k.

3)Now assume that during the collision the surface is hot. Shortly after the collision the blocks reach thermal equilibrium. Find (delta U) a few seconds after the collision

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