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A bullet of mass 4 g moving with an initial speed 400 m/s is fired into...

A bullet of mass 4 g moving with an initial speed 400 m/s is fired into and passes through a block of mass 5 kg, as shown in the figure. The block, initially at rest on a frictionless, horizontal surface, is connected to a spring of force constant 538 N/m. If the block moves a distance 1.3 cm to the right after the bullet passed through it, find the speed v at which the bullet emerges from the block and the magnitude of the energy lost in the collision.

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