Question

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 414 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.)

Answer 1

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)