Question

An object of mass \( 5 \, \text{kg} \) is moving with a velocity of \( 10 \, \text{m/s} \). What is its kinetic energy?

• A. \( 250 \, \text{J} \)
• B. \( 500 \, \text{J} \)
• C. \( 100 \, \text{J} \)
• D. \( 50 \, \text{J} \)

Hint:

The kinetic energy is calculated using \( KE = \frac{1}{2} m v^2 \), where \( m \) is the mass and \( v \) is the velocity of the object.

Answer 1

The Correct Option is B

Step 1: Use the formula for kinetic energy The kinetic energy \( KE \) of an object is given by: \[ KE = \frac{1}{2} m v^2 \] where: - \( m \) is the mass of the object, - \( v \) is the velocity of the object. Step 2: Substitute the given values Given: - Mass \( m = 5 \, \text{kg} \), - Velocity \( v = 10 \, \text{m/s} \). Substitute these values into the formula: \[ KE = \frac{1}{2} \times 5 \times (10)^2 = \frac{1}{2} \times 5 \times 100 = 500 \, \text{J} \] Answer: Therefore, the kinetic energy is \( 500 \, \text{J} \). So, the correct answer is option (2).