Question

A ball of mass $5\text{kg}$ is thrown upwards with a velocity of $40\text{m/s}$ from the ground. Find the maximum potential energy of the ball during the entire journey. (Take $\text{g}=10{\text{m/s}}^2$)

• A. $2000\text{J}$
• B. $4000\text{J}$
• C. $8000\text{J}$
• D. $16000\text{J}$

Answer 1

The correct option is B $4000\text{J}$

Given,
Mass of the ball, $\text{m}=5\text{kg}$
Initial velocity of ball, $\text{u}=40\text{m/s}$
We know that kinetic energy, $\text{K}=\frac{1}{2}{\text{mv}}^2$
Hence, initial kinetic energy, $\text{K}=\frac{1}{2}\times 5\times {40}^2$
$\text{K}=4000\text{J}$
Now, the ball will have the maximum potential energy when the whole kinetic energy is converted to the potential energy.
Therefore, maximum potential energy is $4000\text{J}$.