Calculating work for different springs calculate the work required to stretch the following springs 0.5 m from their equilibrium positions. assume hooke’s law is obeyed. a. a spring that requires a force of 50 n to be stretched 0.2 m from its equilibrium position. b. a spring that requires 50 j of work to be stretched 0.2 m from its equilibrium position.

Part a)

U = 31.25 J

Part b)

U = 312.5 J

Explanation:

Part A)

A spring that requires a force of 50 N to be stretched 0.2 m from its equilibrium position.

So here we have

k = 250 N/m

now the energy stored in the spring is given by

Part B)

A spring that requires 50 J of work to be stretched 0.2 m from its equilibrium position.

So here we know the formula of spring energy as

now by the formula of energy stored in spring

b. lifting dumbbell weight at 20-degree angle from the body after a 45-degree angle