Questions: Calculate the potential energy of a rock with mass 253 kg and a height of 12 m

Solution Steps

The potential energy ($PE$) of an object can be calculated using the formula: $$PE = m \cdot g \cdot h$$ where:

• $m$ is the mass of the object in kilograms,
• $g$ is the acceleration due to gravity (approximately $9.81 \, \text{m/s}^2$ on Earth),
• $h$ is the height in meters.

Substitute the given values into the formula:

• Mass ($m$) = 253 kg
• Height ($h$) = 12 m
• Acceleration due to gravity ($g$) = $9.81 \, \text{m/s}^2$

$$PE = 253 \cdot 9.81 \cdot 12$$

Calculate the potential energy by performing the multiplication: $$PE = 253 \cdot 9.81 \cdot 12 = 29752.8 \, \text{Joules}$$

Final Answer