Question

A 35.0-kg child swings in a swing supported by two ropes, each 3.40 m long. The tension in each rope at the lowest point of the swing is 430 N.

a) Find the child's speed at the lowest point of the swing. (ignore the mass of the seat.)

b) Find the magnitude of the force exerted by the seat on the child at the lowest point of the swing.

Answer 1

Given; mass (m) = 35kg length of rope (Y) = 3.40m and, Tension in rope (T) = 430 N @ At the lowest point; Fret = F = 2T-mg But, F = mya Thus; mv² = 2T-mg Y :: v= Y [27-mg] = (3.40m) [21430) - (35)(9.81)] (35kg) .::V?- 50.189 1: =7.084 mys O Similarly; At Lowest point; Fseat - Normal force = 2T .. Freat = 2(430 N) 1. Fseat = 860N)

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