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24 May, 08:11

A man cleaning his apartment pushes a vacuum cleaner with a force of magnitude 39.9 N. The force makes an angle of 24.7° with the horizontal floor. The vacuum cleaner is pushed 2.51 m to the right along the floor.

Calculate the work done by the 39.9 N force. Answer in units of J.

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  1. 24 May, 08:23
    0
    W = 90.98 J

    Explanation:

    given,

    magnitude of force = 39.9 N

    angle made by the force = 24.7°

    vacuum cleaner is pushed to = 2.51 m

    Work done = ?

    we know,

    Work done is equal to force into displacement

    W = F s cos θ

    W = 39.9 x 2.51 cos 24.7°

    W = 90.98 J

    Work done by 39.9 N force is equal to W = 90.98 J
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