Question

how do kinetic, gravitational, and elastic energy compare? in the textbook:

Explanation:

Kinetic energy is energy of motion ($K = \frac{1}{2}mv^{2}$, where $m$ is mass and $v$ is velocity). Gravitational potential energy is due to an object's height in a gravitational - field ($U_{g}=mgh$, $g$ is gravitational acceleration, $h$ is height). Elastic potential energy is in a stretched or compressed elastic object ($U_{e}=\frac{1}{2}kx^{2}$, $k$ is the spring - constant, $x$ is the displacement from equilibrium). Kinetic energy is associated with motion, while gravitational and elastic are potential energies related to position and deformation respectively.

Answer:

Kinetic energy is energy of motion. Gravitational potential energy depends on height in a gravitational field. Elastic potential energy is related to the deformation of an elastic object.