Suppose you have a wheeled cart. You push it back against a spring, eventually exerting a force of F = 24 N.
This compresses the spring by a distance x = 0.087 m.
You then release the cart and measure its velocity v at a distance Δx = 0.7 m from the release position of the spring.

K value=275.862 N/m.

(f) Suppose there actually IS a frictional force of 0.30 N between the wheels and whatever they touch. In this frictional case, what would be the velocity of the cart after it traveled a distance of Δx = 0.7 m?

Question

Suppose you have a wheeled cart. You push it back against a spring, eventually exerting a force of F = 24 N.
This compresses the spring by a distance x = 0.087 m.
You then release the cart and measure its velocity v at a distance Δx = 0.7 m from the release position of the spring.

K value=275.862 N/m.

(f) Suppose there actually IS a frictional force of 0.30 N between the wheels and whatever they touch. In this frictional case, what would be the velocity of the cart after it traveled a distance of Δx = 0.7 m?

anonymous · Answer

You should use energy conservation method to solve this.You just have to be careful in calculating the work done by the friction.Note that the potential energy stored in the spring is not only used in increasing the kinetic energy of the spring,some of it is also dissipated as heat.