Question

at the instant shown, the spring is undeformed. determine the change in potential energy if the 20 kg disk (k_g = 0.5 m) rolls 2 revolutions without slipping.

Answer 1

The change in potential energy can be calculated using the formula U = (1/2)kx², where k is the spring constant and x is the displacement of the spring. In this case, the change in potential energy is 0.225 J.

Step-by-step explanation:

The change in potential energy can be calculated using the formula U = (1/2)kx², where k is the spring constant and x is the displacement of the spring.

In this case, the displacement of the spring is 3 cm. Given that k_g = 0.5 N/cm, we can calculate the change in potential energy as follows:

U = (1/2)(0.5 N/cm)(3 cm)² = 0.225 J

Therefore, the change in potential energy is 0.225 J.