A 35.0-kg child swings in a swing supported by two chains, each 3.02 m long. The tension in each chain at the lowest point is 41

Question

2 years ago

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A 35.0-kg child swings in a swing supported by two chains, each 3.02 m long. The tension in each chain at the lowest point is 41

4 N.
(a) Find the child's speed at the lowest point.
(b) Find the force exerted by the seat on the child at the lowest point. (Ignore the mass of the seat.)

Physics

1 answer:

n200080 [17] · Answer 1 · 2022-09-18T10:33:00+03:00

Answer:

Explanation:

Total tension must support the weight of the child and provide the necessary centripetal force.

2T = m(g + v²/R)

2(414) = 35.0(9.81 + v²/3.02)

828 = 35.0(9.81 + v²/3.02)

23.65 = 9.81 + v²/3.02

13.847 = v²/3.02

41.81 = v²

v = 6.47 m/s

F = 2(414) = 828 N (ignoring the weight of the chains and seat)