Question

A cart is loaded with a brick and pulled at constant speed along an inclined plane to the height of a seat-top. If the mass of the loaded cart is $3.0kg$ and the height of the seat top is $0.45m$, then what is the potential energy of the loaded cart at the height of the seat-top?

Answer 1

Step 1: Given data

$$\begin{gathered} Mass,\mathrm{m}=3\mathrm{kg} \\ Height,\mathrm{h}=0.45\mathrm{m} \\ Accelerationduetogravity,\mathrm{g}=9.8\mathrm{m}/{\mathrm{s}}^2 \end{gathered}$$

Step 2: Find the Potential energy

$$\begin{gathered} \mathrm{P}.\mathrm{E}=\mathrm{mgh} \\ \mathrm{P}.\mathrm{E}=3\times 9.8\times 0.45 \\ \mathrm{P}.\mathrm{E}=13.23\mathrm{J} \end{gathered}$$

Hence, the potential energy is $\mathbf{13}\mathbf{.}\mathbf{23}\mathit{J}$.