Question

If a spring has a constant of `7 (kg)/s^2`, how much work will it take to extend the spring by `29 cm`?

Answer 1

`W = int_0^29kxdx = |1/2kx^2|_0^29 = 1/2 7xx29`

Explanation:

Work, `W = int vec F_x * vecdx = intFdx`
Now for spring the Force `F = kx` where k is spring constant
thus `W = int kx dx`
Integrate and substitute k= 7 and the spring stretch - x from 0 => 29:
`W = int_0^29kxdx = |1/2kx^2|_0^29 = 1/2 7xx29`