Kinetic Energy Calculation for Moving Object
This question requires calculating the kinetic energy (KE) of an object given its mass and velocity.
Given Information
- Mass of the object (\(m\)): 1 kg
- Velocity of the object (\(v\)): 10 m/s
Kinetic Energy Formula
The formula to calculate kinetic energy is:
\( KE = \frac{1}{2}mv^2 \)
Where:
- \(KE\) is the kinetic energy in Joules (J)
- \(m\) is the mass in kilograms (kg)
- \(v\) is the velocity in meters per second (m/s)
Step-by-Step Calculation
- Substitute the given values into the formula:
\( KE = \frac{1}{2} \times (1 \text{ kg}) \times (10 \text{ m/s})^2 \)
- Calculate the square of the velocity:
\( (10 \text{ m/s})^2 = 100 \text{ m}^2/\text{s}^2 \)
- Multiply the mass by the squared velocity:
\( 1 \text{ kg} \times 100 \text{ m}^2/\text{s}^2 = 100 \text{ kg} \cdot \text{m}^2/\text{s}^2 \)
- Multiply by \(\frac{1}{2}\) to find the kinetic energy:
\( KE = \frac{1}{2} \times 100 \text{ kg} \cdot \text{m}^2/\text{s}^2 = 50 \text{ kg} \cdot \text{m}^2/\text{s}^2 \)
- State the final answer with the correct unit:
Since 1 Joule (J) = 1 \(\text{kg} \cdot \text{m}^2/\text{s}^2\), the kinetic energy is:
\( KE = 50 \text{ J} \)
Conclusion
The kinetic energy of the object is 50 Joules.
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