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Question

(B) The instantaneous power $P$ delivered to a body is given by the product of the force $F$ and the velocity $v$ at that instant,i.e.,$P = F \cdot v$

Vedclass · Accepted Answer

$mv^2/t$

Vedclass · Answer

(B) The instantaneous power $P$ delivered to a body is given by the product of the force $F$ and the velocity $v$ at that instant,i.e.,$P = F \cdot v$.Since the force $F$ is constant,the acceleration $a$ of the body is also constant,given by $a = F/m$.Using the equation of motion $v = u + at$,where initial velocity $u = 0$,we have $v = (F/m)t$.Thus,the force can be expressed as $F = (mv)/t$.Substituting this into the power formula: $P = F \cdot v = (mv/t) \cdot v = (mv^2)/t$.

$A$ body of mass $m$ starts from rest and acquires a velocity $v$ in time $t$ under the action of a constant force $F$. The instantaneous power delivered to the body at time $t$ is:

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