Rankers Physics
Topic: Work Energy and Power
Subtopic: Power

A body is being moved from rest along a straight line by a machine delivering constant power. The speed of  body in time t is proportional to
t
1/t

Solution:

Power = Constant (K)

F.v= K 

⇒m.(dv/dt).v = K

⇒m.v.dv = K.dt

Integrating we get,

⇒∫m.v.dv=∫K.dt 

⇒ mv²/2 = Kt

so, V α  t½

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