A proton's total energy is ten times its rest energy. How fast is it moving?

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

A fission reactor produces energy to drive a generator. Describe briefly how this energy is produced.

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?

A dealer’s profit, in units of $5000, on a new automobile is given by$Y = X^2$, where X is a random variable having the density function$f(x) = 2(1 − x), 0 \lt x \lt 1$,$f(x)=0$, elsewhere.

(a) Find the probability density function of the random variable Y.

(b) Using the density function of Y, find the probability that the profit on the next new automobile sold by this dealership will be less than$500.

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 $1.3\text{~ kg/m}^3$.

The unit for density found in many density tables is $\mathrm{kg} / \mathrm{m}^3$. At a certain temperature, the gasoline you pump into your car's gas tank has a density of $732.22 \mathrm{~kg} / \mathrm{m}^3$. If your tank has a capacity of $14.0$ gallons, how many grams of gasoline are in your tank when it is full? How many pounds ?

Draw an energy-level diagram that shows the relationship between the energy quantities involved in this problem.

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

The energy levels of hydrogen are____ which means that only certain values of energy are allowed.

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

The city with the greatest population density is Manila in the Philippines. The city has a population of $1.8$ million people and an area of $16.6$ square miles. What is its population density in units of people per square mile?

Some oxygen has a density of $1.75 \mathrm{~kg} / \mathrm{m}^3$ at normal atmospheric pressure. Find its pressure (in $\mathrm{kPa}$ ) when the density is changed to $1.45 \mathrm{~kg} / \mathrm{m}^3$ .

Why is the energy available to a particular trophic level less the energy in the previous trophic level?