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

The heavier block in an Atwood machine has a mass twice that of the lighter one. The tension in the string is 16.0 N when the system is set into motion. Find the decrease in the gravitational potential energy during the first second after the system is released from rest.

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The correct answer is:
CHECK THE SOLUTION.

(2 g = 19.6 J)

Sol. Let m 1 = 2m 2

a = = g = g/3

So, distance travelled by each block = at 2 = g/6

Also, T = = = 16

m 2 =

Hence, loss in gravitation P.E. during first second = (m 1 – m 2 ) gh

= (2m 2 – m 2 ) g × = = 2g.

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