Exam 8: Potential Energy and Conservation of Energy

The long pendulum shown is drawn aside until the ball has risen 0.5 m.It is then given an initial speed of 3.0 m/s.The speed of the ball at its lowest position is:

In this graph of potential energy vs.x, the horizontal line represents the total mechanical energy of a particle.Approximately what is its kinetic energy at x = 15 m?

A body at rest in a system is capable of doing work if:

For a block of mass m to slide without friction up the rise of height h shown, it must have a minimum initial kinetic energy of:

The potential energy of a body of mass m is given by U = -mgx + 1/2kx².The corresponding force is: