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A child of mass 20 kg sits on a swing of length 4 m and swings through a vertical height of 0.9 m as shown in figure 2.

      

A child of mass 20 kg sits on a swing of length 4 m and swings through a vertical height of 0.9 m as shown in figure 2.
physics6220171108.jpg
Determine:
(i) Speed of the child when passing through the lowest point.
(ii) Force exerted on the child by the seat of the swing when passing through the lowest point.

  

Answers


John
(i) Potential energy lost = kinetic energy gained

mgh = $\frac{1}{2}mv^2$

2 x 10 x 0.9 = $\frac{1}{2}$ x v2

v = $\sqrt18$ = 4.24 m/s

(ii) Force is centripetal = $\frac{mv^2}{r}$ = $\frac{20 \times 4.24^2}{4}$ = 89.9 N
johnmulu answered the question on June 2, 2017 at 08:22


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