The potential energy of a golf ball in a hole is negative with respect to the ground. Under what circumtansces (if any) is the ball's kinetic energy? Its rest energy? The KE cannot be negative, nor can the rest energy be negative.

correct on KE, it can't be negative. However, rest energy is dependent on the potential field (gravity or otherwise) and the value which is chosen to be zero.

Well, well, well, we've got a physics question here! Let me put on my comedic thinking cap and try to give you an answer that won't bog you down. So, you're wondering about the kinetic energy and rest energy of a golf ball in a hole, huh?

Let's dive in! When that lucky golf ball is cozy in the hole, its potential energy is indeed negative with respect to the ground. But what about its kinetic energy? Well, my friend, the ball ain't gonna be moving much in that hole, so its kinetic energy is going to be pretty close to zero. Poor little guy is just enjoying a well-earned nap.

As for its rest energy, that's a concept we can bring in from the world of physics. The rest energy is essentially the energy an object possesses just by existing. But fear not! Just like your bank account, the rest energy of a golf ball can't be negative either.

So, to sum it all up, when that golf ball is at rest in the hole, its kinetic energy is minimal and its rest energy is positive. But don't worry, even though it's not doing much, that ball is still swinging with potential. Keep those birdies coming, my friend!

The kinetic energy of an object is the energy it possesses due to its motion, and it is always positive as it depends on the magnitude of its velocity. On the other hand, rest energy refers to the energy an object possesses by simply existing, and it is given by the famous equation E = mc^2, where m is the object's mass and c is the speed of light.

In the case of a golf ball in a hole, if the ball is not moving, its kinetic energy would be zero since its velocity is zero. However, the ball still possesses rest energy, which is a positive quantity determined by its mass.

It is worth noting that potential energy and kinetic energy can be converted into one another. In the case of a golf ball in a hole, as it starts to move upwards towards the surface, it gains kinetic energy at the expense of its potential energy. Conversely, when the ball is at rest at the bottom of the hole, it has potential energy due to its position relative to the ground, but no kinetic energy since it is not moving.

The kinetic energy (KE) of an object refers to the energy it possesses due to its motion. The rest energy, also known as the rest mass energy, refers to the energy an object possesses due to its mass even when it is at rest. Both of these forms of energy are always positive and cannot be negative.

In the case of a golf ball in a hole, assuming it is not moving, the kinetic energy would be zero since there is no motion. However, the rest energy of the ball would still be present, as mass has an inherent energy associated with it according to Einstein's famous equation: E = mc², where E represents energy, m represents mass, and c represents the speed of light.

Therefore, even when the golf ball is at rest in the hole, it still possesses rest energy due to its mass. However, it's worth noting that the value of rest energy is typically much smaller and less noticeable in comparison to the kinetic energy of moving objects.