Two blocks are connected by a lightweight, flexible cord that passes over a frictionless pulley. If m1 is 3.4 kg and m2 is 9.1 kg, and block 2 is initially at rest 130 cm above the floor, how long does it take block 2 to reach the floor?

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  1. Note: the two blocks are suspended vertically by the string passing over a pulley.

    m1=3.4 kg
    m2=9.1 kg
    H=1.3 m
    Let tension = T
    acceleration = a
    acceleration due to gravity = g

    Consider block 1:
    Net upward force, F1 = T-m1.g
    F1.a = T-m1.g

    Consider block 2:
    Net downward force, F2 = m2.g - T
    F2.a = m2.g - T

    Solve for T and A.
    Use kinematics equation to solve for time: H=v0.t + (1/2)at²
    where v0 = initial velocity=0 m/s, and
    t=time in seconds.

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