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

Answer 1

θ = 57.4°

Step-by-step 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 = (200000\ J)/(371200\ J)\\\\\theta = Cos^(-1)(0.539)`

θ = 57.4°