A spring requires 10 N of force to hold it 1 m past its natural length. How much work is required to stretch it from its natural length to 1 m past its natural length?

5 J

Explanation:

F = spring force required to stretch the spring = 10 N

x = stretch in the spring = 1 m

k = spring constant of the spring

Spring force is given as

F = k x

Inserting the values

10 = k (1)

k = 10 N/m

W = work done in stretching the spring

Work done is given as

W = (0.5) k x²

Inserting the values

W = (0.5) (10) (1) ²

W = 5 J