Your precocious,22-kg,six year old sister sits on a swing and asks you to give her an amplitude of 32 degrees for her swing path.In order to do this precisely,you pull her back so that the angle with the vertical that the swing chains make is 32 degrees,and then you let go.As you held her at 32 degrees,what horizontal force were you applying to her?

Question

Quizplus · Accepted Answer

The horizontal force applied by the person on the swing while holding it back is given by the formula:

F = mg tanθ

where F is the horizontal force, m is the mass of the object (the sister in this case), g is the acceleration due to gravity, and θ is the angle of elevation with respect to the vertical.

Substituting the given values, we have:

F = (22 kg)(9.81 m/s^2) tan 32°
F ≈ 130 N

Therefore, the horizontal force applied by the person on the swing while holding it back is approximately 130 N. The correct answer choice is (C).

Your Precocious,22-Kg,six Year Old Sister Sits on a Swing and Asks