the potential energy of a golf ball in a hole is negative with respect to the ground. Under what circumstances(if any) is the ball's kinetic energy negative? Its rest energy?

The kinetic energy of the ball is zero when it isnt moving, whether it is ion the hole or not. Kinetic energy cannot be negative, since V^2 is positive or zero.

Since rest energy = m c^2, and c^2 is a huge number, and the mass m is non-zero, rest energy cannot be negative either.

1 answer

In summary, the kinetic energy of a golf ball cannot be negative under any circumstances, as its value is dependent on the square of its velocity, which is always positive or zero. Similarly, the rest energy cannot be negative either, as it is dependent on the square of the speed of light and the mass of the object, both of which are non-zero positive values.