Question

A block of mass 2 kg is free to move along x axis .It is at rest and from t=0 onwards it is subjected to a time - dependent force f(t) varies with time as shown the kinetic enery of block at t=4.5 is

Answer 1

The kinetic energy of the block is 5.06 J

Explanation:

I = 1/2 x 3 x 4 - 1/2 x 1.5 x 2        

 = 6 - 1.5 = 4.5 N-s

Change in momentum = Pf - Pi/0 = 4.5          

                                      = 2 x v = 4.5

                                  v = 2.25 m/s

As we know that

K.E = 1/2 mv^2

     = 1/2 x 2 x (2.25)^2

    = 5.06 J

Thus the kinetic energy of the block is 5.06 J

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