A box at rest on a ramp at an incline of 22°. The normal force on the box is 538 N

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A box at rest on a ramp at an incline of 22°. The normal force on the box is 538 N

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Xavia 3 months 2021-08-06T09:48:07+00:00 1 Answers 62 views 0

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    2021-08-06T09:49:20+00:00

    Answer:

    F = 580.25 N

    Explanation:

    It is given that,

    A box at rest on a ramp at an incline of 22°

    The normal force on the box is 538 N

    We need to find the gravitational force on the box.

    The force of gravity acting on an object is equal to its weight. So,

    F = mg

    But here the box is incline at an angle of 22 degrees

    It means that mg will resolve in rectangular components such that, normal force is :

    N=mg\cos\theta\\\\mg=F=\dfrac{N}{\cos\theta}\\\\F=\dfrac{538}{\cos22}\\\\F=580.25\ N

    So, the gravitational force on the box is 580.25 N.

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