what is the difference in pe between a 82.5 kg adult on a 1.25 m wall, and a 14.7 kg child on the same wall…

what is the difference in pe between a 82.5 kg adult on a 1.25 m wall, and a 14.7 kg child on the same wall? (unit = j)

what is the difference in pe between a 82.5 kg adult on a 1.25 m wall, and a 14.7 kg child on the same wall? (unit = j)

Answer

Explanation:

Step1: Recall potential - energy formula

The formula for gravitational potential energy is $PE = mgh$, where $m$ is the mass, $g$ is the acceleration due to gravity ($g=9.8\ m/s^{2}$), and $h$ is the height.

Step2: Calculate PE of the adult

For the adult with $m_1 = 82.5\ kg$ and $h = 1.25\ m$, $PE_1=m_1gh$. Substitute the values: $PE_1=82.5\times9.8\times1.25=82.5\times12.25 = 1010.625\ J$.

Step3: Calculate PE of the child

For the child with $m_2 = 14.7\ kg$ and $h = 1.25\ m$, $PE_2=m_2gh$. Substitute the values: $PE_2=14.7\times9.8\times1.25=14.7\times12.25 = 179.075\ J$.

Step4: Calculate the difference in PE

$\Delta PE=PE_1 - PE_2$. So, $\Delta PE=1010.625-179.075 = 831.55\ J$.

Answer:

$831.55\ J$