View the step-by-step solution to:

A useful statement of mechanical energy conservation is K_{\rm i} + U_{\rm i} = E_{\rm i} = E_{\rm f} = K_{\rm f} + U_{\rm f}.

A useful statement of mechanical energy conservation is

K_{rm i} + U_{rm i} = E_{rm i} = E_{rm f} = K_{rm f} + U_{rm f}.

Initially, the spring was compressed a distance x_0; its total initial energy was E_{rm i} = (1/2)kx_0^2 (neglecting the potential energy from the small change in height, x_0).

Find the total mechanical energy of the ball when it is a height h above the equilibrium position of the spring. Assume that h < h_{rm max} , so that the ball has some velocity v. Define the gravitational potential energy to be zero at the equilibrium height of the spring.
Express the total mechanical energy in terms of h, v, g, and the ball's mass m.

Recently Asked Questions

Why Join Course Hero?

Course Hero has all the homework and study help you need to succeed! We’ve got course-specific notes, study guides, and practice tests along with expert tutors.

-

Educational Resources
  • -

    Study Documents

    Find the best study resources around, tagged to your specific courses. Share your own to gain free Course Hero access.

    Browse Documents
  • -

    Question & Answers

    Get one-on-one homework help from our expert tutors—available online 24/7. Ask your own questions or browse existing Q&A threads. Satisfaction guaranteed!

    Ask a Question