Question

A 36 kg child sits in a swing supported by two chains, each 2.9 m long. If the tension in each chain at the lowest point is 265 N, find the child’s speed at the lowest point. (Neglect the mass of the seat.) Answer in units of m/s.

Answer 1

v = 3.78 m/s

Step-by-step explanation:

given,

mass of the child = 36 Kg

length of the chain, r = 2.9 m

tension in each chain, T = 265 N

now,

Net force acting in the system

2 T - m g = m a

T is the tension in the chain

a is the acceleration in the normal direction

here,
`a = (v^2)/(r)`

now,

`2 T - m g = m(v^2)/(r)`

`2* 265 - 36* 9.8 = 36* (v^2)/(2.9)`

v² = 14.274

v = 3.78 m/s

speed of the child at the lowest point is equal to 3.78 m/s