Question

A particle of mass 2 kg moves at 3 m/s. Its kinetic energy is:

• A. 9 J
• B. 18 J
• C. 12 J
• D. 6 J

Answer 1

The Correct Option is A

To determine the kinetic energy of a particle, its mass and velocity must be computed.

1. Kinetic Energy Definition:

- Kinetic energy (KE) is the energy attributed to an object's movement.
- The formula for calculating kinetic energy is: \[ KE = \frac{1}{2} m v^2 \] with:
\( m \) = particle's mass (in kg)
\( v \) = particle's velocity (in m/s)

2. Provided Data:

- Mass, \( m = 2 \, \text{kg} \)
- Velocity, \( v = 3 \, \text{m/s} \)

3. Kinetic Energy Calculation:

\[ KE = \frac{1}{2} \times 2 \times (3)^2 = 1 \times 9 = 9 \, \text{Joules} \]

Conclusion:

The particle's kinetic energy is calculated to be 9 Joules.