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 as \( mgh \), where \( m \) is the mass, \( g \) is the gravitational constant, and \( h \) is the height.

Answer 1

The Correct Option is A

Step 1: Use the formula for potential energy The potential energy (\( PE \)) of a body at a height is given by the formula: \[ PE = mgh \] where: - \( PE \) is the potential energy, - \( m \) is the mass of the body, - \( g \) is the acceleration due to gravity, - \( h \) is the height. Step 2: Substitute the given values Given: - \( PE = 200 \, \text{J} \), - \( g = 10 \, \text{m/s}^2 \), - \( h = 10 \, \text{m} \). Now substitute into the formula: \[ 200 = m \times 10 \times 10 \] \[ 200 = 100m \] \[ m = \frac{200}{100} = 2 \, \text{kg} \] Answer: Therefore, the mass of the body is 2 kg. So, the correct answer is option (1).