A small plane tows a glider at constant speed and altitude. If the plane does 2.00 * 105 J of work to tow the glider 145 m and the tension i

Question

A small plane tows a glider at constant speed and altitude. If the plane does 2.00 * 105 J of work to tow the glider 145 m and the tension in the tow rope is 2560 N, what is the angle between the tow rope and the horizontal

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Đan Thu 5 years 2021-07-14T20:03:53+00:00 1 Answers 16 views 0

Answers ( )

  1. MichaelMet
    0
    2021-07-14T20:04:54+00:00
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    Answer:

    θ = 57.4°

    Explanation:

    The complete formula to find out the work done by the plane is as follows:

    W = FdCos\theta

    where,

    W = Work = 200000 J

    F = Force = Tension = 2560 N

    d = distance = 145 m

    θ = angle between rope and horizontal = ?

    Therefore,

    200000\ J = (2560\ N)(145\ m)Cos\theta\\\\Cos\theta = \frac{200000\ J}{371200\ J}\\\\\theta = Cos^{-1}(0.539)

    θ = 57.4°

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