A particle of mass m moves on a straight line with its velocity varying with the distance travelled according to the equation v = a√x, where a is a constant. Find the total work done by all the forces during a displacement from x = 0 to x = d.
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Answer:
Answer: W=1/2ma2d
Work done due to a constant force W=Fd.
Constant Force = mass × acceleration.
Acceleration is given by
dvdt=dv/dx*dxdt
⇒=dv/dt=a2x−−√ax−−√=1/2a2
⇒W=1/2ma2d
Answered by
0
Answer:
W=1/2ma2d
Work done due to a constant force W=Fd.
Constant Force = mass × acceleration.
Acceleration is given by
dvdt=dv/dx*dxdt
⇒=dv/dt=a2x−−√ax−−√=1/2a2
⇒W=1/2ma2d
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