A body is acted upon by a force of 10 N and undergoes displacement in the direct

Question

A body is acted upon by a force of 10 N and   undergoes displacement in the direction of the force in accordance with the   relation

s = 3t2 + 2t

where the units are SI.  The rate at which the force is doing work   at the instant t = 2 s is

A)  14   W     B)  12 W       C)  120 W     D)   140 W     E)  160 W

  

A body is acted upon by a force of 10 N and   undergoes displacement in the direction of the force in accordance with the   relation

  

       

         

s = 3t2 + 2t

       

  

where the units are SI.  The rate at which the force is doing work   at the instant t = 2 s is

     

A)  14   W     B)  12 W       C)  120 W     D)   140 W     E)  160 W

   A body is acted upon by a force of 10 N and undergoes displacement in the direction of the force in accordance with the relation s = 3t2 + 2t where the units are SI. The rate at which the force is doing work at the instant t = 2 s is 14 W 12 W 120 W 140 W 160 W

Explanation / Answer

work done W = F.ds

rate of displacement is ds/st = 6t+2

at t=2, ds/dt = 14 m/s

so power P = W/t   = 10 * 14 = 140 Watts

option D

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