A child of mass m sits in a swing supported by two chains, each of length R . Th

Question

A child of mass m sits in a swing supported by two chains, each of length R. The tension in each chain at the lowest point is T. (a) Find the child's speed at the lowest point. (Use any variable or symbol stated above along with the following as necessary: g.)

speed =


(b) Find the force exerted by the seat on the child at the lowest point. (Neglect the mass of the seat. Use any variable or symbol stated above along with the following as necessary: g.)

n =

*NOTE: I need to make a formula with the proper variables for both speed and n (Newtons/force), so the proper syntax is important.

Explanation / Answer

2 x mv^2/R = mg, so v = sqrt(gR/2) force by seat on the child = 2mv^2/R

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