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Physics Work, Energy, Power and Collision Power MCQ (Single Correct)

Two bodies of mass m 1 and m 2 (m 2 > m 1 ) are connected by a light inextensible string which passes through a smooth fixed pulley as shown. Then choose the correct option(s)

The instantaneous power delivered by an external agent to pull m 1 with constant velocity v is (m 2 – m 1 ) gv

The instantaneous power delivered by an external agent to pull m 1 with constant velocity v is (m 2 + m 1 ) gv

The instantaneous power delivered by an external agent to pull m 1 with constant acceleration a at any instant t, starting from rest, is [m 2 (g + a) – m 1 (g – a)] at

The instantaneous power delivered by an external agent to pull m 1 with constant acceleration a at any instant t, starting from rest, is [m 2 (g + a) + m 1 (g – a)] at

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The correct answer is:

CHECK THE SOLUTION.

(m 2 –m 1 ) gv

[m 2 (g + a) – m 1 (g – a)] at

Sol. P = .

Where is the vel. of point of application

F ext + m 1 g = T & m 2 g =T

F ext = m 2 g – m 1 g

=(m 2 –m 1 ) g

P = (m 2 –m 1 ) g v Ans.

F ext + m 1 g – T = m 1 a

T–m 2 g = m 2 a

F ext = (m 1 + m 2 ) a + (m 2 –m 1 ) g

= m 2 (g+a) – m 1 (g – a)

P = (F ext ) (0 + at)

= {m 2 (g+a) – m 1 (g – a)} at Ans.

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