physics

Two masses are hung are connected by a light cord and hung from a frictionless pulley of negligible mad are shown. Mass m1=3.00kg and mass m2=2.00kg. When the two masses are released from rest, the resulting acceleration of the two masses?

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  1. mass 1 accelerates downward at a
    so mass 2 accelerates up at a

    tension = T

    mass 1:
    m g - T = m a so 3 g - T = 3 a

    mass 2:
    T - mg = m a so T = 2 (g+a)

    substitute T in mass 1 equation
    3 g - 2(g+a) = 3 a
    g - 2 a = 3 a
    a = g/5 = 9.81/5 = 1.962

    You could also use the total mass of 5 and total force of (3-2)g

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  2. 2 m/s2

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  3. 1.46

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