An 8.75 g bullet is fired into a 2.55 kg block that isinitially at rest at the e

Question

An 8.75 g bullet is fired into a 2.55 kg block that isinitially at rest at the edge of a frictionless table of height 1m. The bullet remains in the block, and after impact theblock lands 2 m from the bottom of the table. a)Determine the initial speed of the bullet. b)What is the work done by the bullet upon the block? An 8.75 g bullet is fired into a 2.55 kg block that isinitially at rest at the edge of a frictionless table of height 1m. The bullet remains in the block, and after impact theblock lands 2 m from the bottom of the table. a)Determine the initial speed of the bullet. b)What is the work done by the bullet upon the block?

Explanation / Answer

    Given that mass of bulletis m = 8.75 g = 8.75*10-3 kg       mass of block is M = 2.55 kg     Height of table is h = 1 m     The horizontal distance covered by the massis R = 2 m -------------------------------------------------------------------------- If the body pojected from the height h coveres ahorizontal distance R then                           R = V*2h/g                           V = R*g/2h                                =---------- m/s     This the velocity of the block and thebullet after the bullet remains in the block .       Apply conservation ofmomentum before and after collision                              m*U + 0 = ( m + M)V                                         U = ( m+ M) / m                                               =----------- m/s       The work done on the block bythe bullet is W = Mgh             

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