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A fire helicopter carries a 640 kg bucket of water at the end of a 20.0 m long cable. Flying back from a fire at a constant speed of 40.0 m/s, the cable makes an angle of 42.0° with respect to the vertical. Determine the force exerted by air resistance on the bucket.

  • physics -

    Draw a free body diagram for the bucket.

    The cable tension force is T
    T cos 42 = bucket weight (which you know)
    T sin 42 = air resistance force

    Divide the second equation by the first. Remember that sin/cos = tan, for any angle.

    tan 42 = (air resistance force)/weight

    Solve for the unknown force

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