An Atwood’s machine with masses m1 = 2.0 kg and m2 = 3.0 kg is initially at rest

Question

An Atwood’s machine with masses m1 = 2.0 kg and m2 = 3.0 kg is initially at rest. (a) What are the speeds of the masses when m2 has fallen 2.5 m? (b) What is the instantaneous power generated by gravity at that point? Assume the pulley is frictionless and massless An Atwood’s machine with masses m1 = 2.0 kg and m2 = 3.0 kg is initially at rest. (a) What are the speeds of the masses when m2 has fallen 2.5 m? (b) What is the instantaneous power generated by gravity at that point? Assume the pulley is frictionless and massless An Atwood’s machine with masses m1 = 2.0 kg and m2 = 3.0 kg is initially at rest. (a) What are the speeds of the masses when m2 has fallen 2.5 m? (b) What is the instantaneous power generated by gravity at that point? Assume the pulley is frictionless and massless

Explanation / Answer

on m2:

3g - T = 3a

on m1:

T - 2g = 2a

adding both equation,

3g - 2g = (3 + 2)a

a = 9.8 / 5 = 1.96 m/s^2

(A) vf^2 - vi^2 = 2 a d

v^2 - 0^2 = 2 x 1.96 x 2.5

v = 3.13 m/s

(b) P = F.v

P = (-2 x9.8 x 3.13) + ( 3 x 9.8 x 3.13)

P = 30.7 W

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