9. Work & Energy

A $2\mathrm{kg}$ cart is moving at $4m/s$ on a frictionless track and starts to coast up a hill. How far up the hill will it coast before coming to rest and starting to roll back down, if the hill makes an angle of $30°$ with the horizontal? (Assume $g=9.8m/s^2$)

Which of the following best describes $\mathrm{energy}$?

In an RC circuit that is discharging, what is the current $i\left(3\tau \right)$ at a time $t=3\tau$ after $t=0$ in terms of the initial current $i\left(0\right)$ and the time constant $\tau$?

Which part of the Earth receives the most annual solar radiation?

Which statement best describes the difference between $\mathrm{potential energy}$ and $\mathrm{kinetic energy}$?

Which of the following statements about energy flow is true?

A gas undergoes a process from state 1 to state 3 to state 6 on a PV diagram. If the pressure remains constant at $P$ during the process from 1 to 3, and the volume increases from $V=2$ L to $V=6$ L, what is the work $W$ done by the gas during this process?

Potential energy is one type of energy. What is the other main type of energy?

Under which condition does an object possess $\mathrm{mechanical} \mathrm{energy}$?

A $16N$ force is applied to an object and $96J$ of work is done. How far was the object moved?

In the context of energy and kinetic energy, what fundamentally limits the maximum amount of work that a system can perform?

Which of the following scenarios represents $kinetic energy$ transforming into $potential energy$?

A block attached to an ideal spring oscillates with amplitude $A$ and total mechanical energy $E$. If the total energy is doubled to $2E$, what will the new amplitude of oscillation be?

Which of the following objects has the highest kinetic energy ($E=\frac{1}{2}m{v}^2$)?

In physics, how is work defined?