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Grade: 11

                        

A body of mass 0.5 kg travels in a straight linr with velocity v=ax 3/2 where a = 5m -1/2 s -1. what is the work done by the net force during its displacement from x=0 to x=2m?

2 years ago

Answers : (1)

Susmita
425 Points
							
v=ax3/2
differentiate wrt x.
dv/dt=(3a/2)x1/2(dx/dt)=(3a/2)x1/2v=(3a2/2)x2
force F=mdv/d
Work done dW=Fdx
Integrate from 0 to 2.
W=(a2m/2)8=4a2m=4*(52)*0.5=50J
 
2 years ago
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