Question:medium

The potential energy of a body at a height of 10 meters is 200 J. What is its mass? (Take \( g = 10 \, \text{m/s}^2 \))

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Remember: Potential energy is calculated using the formula \( PE = mgh \). Make sure to rearrange to solve for mass when given the other parameters.
Updated On: Nov 26, 2025
  • 2 kg
  • 5 kg
  • 10 kg
  • 20 kg
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The Correct Option is A

Solution and Explanation

Given: \[ \text{Potential Energy} = 200 \, \text{J}, \quad h = 10 \, \text{m}, \quad g = 10 \, \text{m/s}^2 \] Step 1: Potential Energy Formula The formula for potential energy is: \[ PE = mgh \] where: \( PE \) = potential energy, \( m \) = mass, \( g \) = acceleration due to gravity, \( h \) = height. Step 2: Solve for Mass Rearrange the formula to find \( m \): \[ m = \frac{PE}{gh} \] Step 3: Calculation Substitute the given values: \( PE = 200 \, \text{J}, \, g = 10 \, \text{m/s}^2, \, h = 10 \, \text{m} \). \[ m = \frac{200}{10 \times 10} = \frac{200}{100} = 2 \, \text{kg} \] Answer: The mass is 2 kg.
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