The sum of kinetic energy and potential energy of the particles in a material is $\underline{\phantom{\text{The horse .}}}$ .

The transfer of thermal energy by electromagnetic waves is $\underline{\phantom{\text{The horse .}}}$ .

What would be the height of the atmosphere if the air density were decreased linearly to zero with height? ? Assume that at sea level the air pressure is $1.0 \text{~atm}$ and the air density is $1.3\text{~ kg/m}^3$.

A solid sphere of radius $R$ and mass $M$ has density $\rho$ that varies with distance $r$ from the center: $\rho=\rho_0 e^{-r / R}$. Find an expression for the central density $\rho_0$ in terms of $M$ and $R$.

The total energy of a particle is three times its rest energy. Find $v / c$ for the particle.

Consider the energy generated by a $TV$ set. What is a suitable choice for a thermal energy reservoir?

Define activation energy, and identify types of reactions that use it. Activation energy: Types of reactions:

Hydrocarbons release a lot of energy when ignited. Where does this energy come from?

A person weighs $685 \mathrm{~N}$ in air but only $497 \mathrm{~N}$ when standing in water up to the hips. Find the volume of each of the person's legs, assuming they have a density that is $1.05$ times the density of water.

Find the momentum, kinetic energy, and total energy of a proton with speed (c) $0.50 c$.

A $12-\mathrm{kg}$ piece of metal displaces $2 \mathrm{~L}$ of water when submerged. Show that its density is $6000 \mathrm{~kg} / \mathrm{m}^3$. How does this compare with the density of water?

A large chunk of metal has a mass of $393 \mathrm{~kg}$, and its volume is measured to be $0.05 \mathrm{~m}^3$. (a) Find the metal's mass density and weight density in SI units. (b) What kind of metal is it?

Calculate the average density of the planet Saturn. How does your answer compare to the density of water, and what does this imply about the buoyancy of Saturn, if you could find an ocean big enough to drop it into?

A simple harmonic oscillator of amplitude $A$ has a total energy $E$. Determine
(a) the kinetic energy