Student Login

Home›Chapters›Work, Energy and Power PYQs›Power›Question 37

NEET 2015 (AIPMT, Cancelled Paper) · Power

Power question from NEET 2015 (AIPMT, Cancelled Paper)

Q37NEET 2015 · AIPMT · CANCELLED PAPERMedium

Power

A particle of mass m is driven by a machine that delivers a constant power k watts. If the particle starts from rest the force on the particle at time t is

Show answer and solution

Answer: (c)

Constant power from rest: $kt = \frac{1}{2}mv^2 \Rightarrow v = \sqrt{\frac{2kt}{m}}$
$F = \frac{P}{v} = k\sqrt{\frac{m}{2kt}}$
$F = \sqrt{\frac{mk}{2}}\, t^{-1/2}$
So the answer is (c).

Report a mistake

More questions on Power

One coolie takes 1 minute to raise a suitcase through a height of 2 m but the second…NEET 2013
A wind-powered generator converts wind energy into electrical energy. Assume that the…JEE Main 2013 (25 Apr, Shift 1)
A 70 kg man leaps vertically into the air from a crouching position. To take the leap the…JEE Main 2013 (23 Apr, Shift 1)
A car of mass m starts from rest and accelerates so that the instantaneous power…NEET 2012 (AIPMT, Mains)
A body projected vertically from the earth reaches a height equal to earth's radius…NEET 2011 (AIPMT, Prelims)
A particle of mass M, starting from rest, undergoes uniform acceleration. If the speed…NEET 2010 (AIPMT, Mains)
An engine pumps water through a hose pipe. Water passes through the pipe and leaves it…NEET 2010 (AIPMT, Prelims)
An engine pumps water continuously through a hose. Water leaves the hose with a velocity…NEET 2009 (AIPMT)