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31 March, 05:23

A pallet stacked with bags of cement weighing a total of 5501 N must be pushed up a 2.30-m incline to a 75.0-cm high platform. What force, in Newtons, must be applied to get the job done?

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  1. 31 March, 05:39
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    Assume that the incline is frictionless.

    Refer to the diagram shown below.

    Note that 75 cm = 0.75 m.

    Therefore the angle of the incline is given by

    sin (x) = 0.75/2.3 = 0.3261.

    The weight pushed up the incline is W = 5501 N.

    The component of the weight acting down the incline is

    W*sin (x) = 5501*0.3261 = 1793.9 N

    The force, F, should overcome this weight acting along the incline, therefore

    F = 1794 N (nearest integer)

    Answer: 1794 N
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