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

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

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Solution Steps

Step 1: Identify the Formula for Potential Energy

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.
Step 2: Substitute the Given Values

Substitute the given values into the formula:

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

\[ PE = 253 \cdot 9.81 \cdot 12 \]

Step 3: Perform the Calculation

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

Final Answer

\(\boxed{29752.8 \, \text{J}}\\)

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