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22 December, 21:17

A 10-kg mass is suspended by a rope. What is the acceleration if the tension in the rope is 118 N while the mass is in motion?

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  1. 22 December, 21:56
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    There are two forces on the mass:

    - - the force of gravity downward ... (10kg) x (9.8 m/s²) = 98 newtons downward

    - - the tension in the rope upward ... 118 newtons upward

    The NET force on the mass is (118 - 98) = 20 newtons upward.

    F = M a

    Divide each side by 'M' : a = F / M

    a = (20 newtons upward) / (10kg)

    a = 2 m/s² upward
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