10. Conservation of Energy

Which of the following formulas is used to find gravitational potential energy?

Which two types of potential energy are considered forms of mechanical energy?

A hiker of mass $m$ climbs from the base to the top of a hill of height $h$. By how much does his gravitational potential energy change during this climb? (Assume acceleration due to gravity is $g$.)

Consider an object of mass $m$ near the Earth's surface at height $h$ above the ground. At which position is the gravitational potential energy of the object a minimum?

Which of the following actions will increase an object's gravitational potential energy near Earth's surface? $U=mgh$

For an object near Earth's surface, when is its gravitational potential energy $U$ at its highest?

$2$) What is the standard unit of measurement for gravitational potential energy?

The free-fall acceleration on a large asteroid, in the vacuum of space, is 0.15 m/s². A spacecraft hovering 500 m above the surface drops a 25 kg payload wrapped in a padded jacket. What is the payload's impact speed?

CALC A particle of mass m has the wave function ψ(x) = Ax exp (−x²/a²) when it is in an allowed energy level with E = 0. Find and graph the potential-energy function U(x).

What type of energy is stored due to an object's position in a gravitational field?

According to the universal law of gravitation, can the gravitational potential energy between two point masses ever be positive?$U=-\frac{\mathrm{G\; m\_1\; m\_2}}{r}$

Which of the following correctly states the luminosity-distance formula relating the apparent brightness $F$, luminosity $L$, and distance $d$ of an astronomical object?

Suppose four identical balls are placed at different heights above the ground: Ball A at $2$ meters, Ball B at $4$ meters, Ball C at $1$ meter, and Ball D at $3$ meters. Which ball has the greatest gravitational potential energy?

If a boulder has a mass of $50\mathrm{kg}$ and a gravitational potential energy of $490J$, what is its height above the ground? (Assume $g=9.8m/s^2$)

Which of the following is an example of an object with $\mathrm{gravitational} \mathrm{potential} \mathrm{energy}$?