Question

A child bounces in a harness suspended from a door frame by three parallel elastic bands. (a) If each elastic band stretches 0.210 m while supporting a 6.80 kg child, what is the force constant for each elastic band?

Answer 1

spring constant of the spring will be equal to 317.33 N/m

Step-by-step explanation:

We have given mass of the child m = 6.80 kg

Spring is stretched by length of 0.210 m . so x = 0.210 m

Acceleration due to gravity
`g=9.8m/sec^2`

Force on the child will be equal to
`W=mg`

This force will be balanced by spring force

And spring force is equal to F = Kx

So kx = mg

`k* 0.210=6.80* 9.8`

k = 317.33 N /m

So spring constant of the spring will be equal to 317.33 N/m