Step 1: State the formula for kinetic energy (\( KE \)): \( KE = \frac{1}{2} m v^2 \), with \( m \) representing mass and \( v \) representing velocity.
Step 2: Insert the provided values: Mass \( m = 2 \, \text{kg} \), Velocity \( v = 10 \, \text{m/s} \). \( KE = \frac{1}{2} \cdot 2 \cdot (10)^2 \).
Step 3: Execute the calculation: - Calculate the velocity squared: \( (10)^2 = 100 \). - Multiply by mass and divide by two: \( KE = \frac{1}{2} \cdot 2 \cdot 100 = 1 \cdot 100 = 100 \, \text{J} \).
Step 4: Confirm the result. The units align (\( \text{kg} \cdot (\text{m/s})^2 = \text{J} \)), and the calculated 100 J is the correct kinetic energy.