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# A 35 kg child sits in a swing supported by two chains, each 4.5 m long. If the tension in each chain at the lowest point is 257 N, find the child's...

A 35 kg child sits in a swing supported by two
chains, each 4.5 m long.
If the tension in each chain at the lowest
point is 257 N, find the child’s speed at the
lowest point. (Neglect the mass of the seat.)

Find the force of the seat on the child at the
lowest point.

Weight = 35x9.81 = 343.35
Let speed be v m/s; r = 4.5m and T = 257N
Now 2T = W + mv2/r
257x2 = 343.35 + 35xv2/4.5
v = [(257x2-343.35)x4.5/35]^(.5)
v = 4.68 m/s

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