Standing on a cliff-top results in a decrease in gravitational force exerted compared to sea-level, as per Newton's Law of Gravity. However, this position increases gravitational potential energy. The reduction in force is not equal and opposite to the increase in energy, as energy and force are distinct entities with different units. Force is a vector quantity, while energy is a scalar quantity, highlighting their fundamental differences.
PREREQUISITESStudents of physics, educators teaching mechanics, and anyone interested in the principles of force and energy in gravitational contexts.
Nope. Energy and force are two different entities and have different units. The change in potential energy is related but not equal to the change in force. Besides, force has direction (is a vector) but energy does not (is a scalar).Beanyboy said:If I'm standing on a cliff-top, according to Newton's Law of Gravity I exert less force than I would at sea-level. However, it seems I've increased my Gravitational Potential Energy. So, is the reduction in force equal and opposite to the increase in energy?