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20 September, 06:15

Suppose that you want to move a heavy box with mass 30.0 kg across a carpeted floor. You try pushing hard on one of the edges, but the box does not move. Suppose that you are pushing against the box from an angle 30.0∘ above horizontal with a force of magnitude 240 N. What is the magnitude of the friction force acting on the box?

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  1. 20 September, 07:20
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    f = 207.85 N

    Explanation:

    given,

    mass of box = 30 kg

    angle made with the horizontal = 30.0∘

    Horizontal force = 240 N

    now calculating normal force

    N = F_y + mg

    N = F sin θ + mg

    N = 240 sin 30.0∘ + 30 * 9.8

    N = 414 N

    Now

    frictional force = F _x

    f = F cos θ

    f = 240 * cos 30.0∘

    f = 207.85 N

    frictional force acting on the box is 207.85 N
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