Final answer:
The statement is false; work is exerting a force over a distance and is not the rate of energy expenditure. Power is the correct term for the rate at which work is done or energy is expended. Work is related to energy as it affects an object's kinetic energy.
Step-by-step explanation:
The statement that work is the rate at which you expend energy is false. Work is not the rate but the act of exerting a force over a distance, defined as W = F × Δx, where W is work, F is force, and Δx is the displacement in the direction of the force. In physics, power is the term that describes the rate at which work is done or energy is expended. Power is given by the equation P = W/t, where P is power, W is work, and t is the time over which the work is performed.
The Work-Energy Theorem
The work-energy theorem states that the work done on an object is equal to the change in kinetic energy. This demonstrates the close relationship between work and energy. It's important to be clear on the distinction between work, energy, and power since they are related but distinct physical concepts.
Energy Transfer
Energy can be transferred in various ways, either as heat or work. Energy transferred as work might include pushing a shopping cart or moving a surfboard with a wave. Energy transferred as heat would involve the warming of a hotdog over a campfire.