Question

In: Physics

A box of mass 8.0 kg is accelerated from rest across a floor at a rate...

A box of mass 8.0 kg is accelerated from rest across a floor at a rate of 6.0 m/s2 for 7.0 s . Find the net work done on the box.

Solutions

Expert Solution

Solution :-

mass m = 8 kg

initial velocity u = 0

time t = 7 s

Acceration a = 6 m/s 2

From the relation v = u + at

                            = 0 +(7×6)

                            = 42 m/s

the net work done on the box W = Change in kinetic energy        Since from work energy theorem

                                               = (1/2)m[v 2 - u 2]

                                               = (1/2)(8)(422)

                                               = 7056 J


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