1) a bullet of mass (m= 8.00g) is fired into a block of mass M =190 g that is in

Question

1) a bullet of mass (m= 8.00g) is fired into a block of mass M =190 g that is initally at rest at the edge of a table of height h =1.00 m. The bullet remains in the block, and after the impact the block lands d= 2.30 m from the bottom of the table. Determine the initial speed of the bullet. __________m/s (answer)

2) A railroad car of mass 3.0x10^4 kg moving at 4.00 m/s collides and couples with two coupled railroad cars, each of the same mass as the single car and moving in the same direction at 1.20 m/s.

                  A) what is the speed of the three coupled cars after the collision? _______ m/s (answer)

                  B) How much kinetic energy is lost in the collision? _________J (answer)

Explanation / Answer

The velocity ofthe bullet after embeded with the block will become zero, thenthe bullet and block combindly travel as one unit, let us findthe time t taken by the bullet-block combination as projectileto reach the flooras          
                      h= uyt + 1/2ayt2            from which we can get t    Then the horizontal velocitywhich is the final velocity (vf), of block-bulletcombination after impact will be                                       vf = d / t

=

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