Question

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

• A. 2 kg
• B. 5 kg
• C. 10 kg
• D. 20 kg

Hint:

Remember: Potential energy is calculated using the formula \( PE = mgh \). Make sure to rearrange to solve for mass when given the other parameters.

Answer 1

The Correct Option is A

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