Rankers Physics

Power: Practice Problem & Solution

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
t½
t²
1/t

Short Solution (Best for NEET):

To solve this problem, we apply the core principles of Power. Understanding the underlying formula is key to arriving at the correct answer below:

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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