Kinetic Energy

To solve the problem, we need to understand the kinetic energy of a body moving in a circular path at constant speed.

1. Understanding Kinetic Energy:

- Kinetic energy (KE) depends on the mass and speed of the body.
- Formula: where is mass and is speed.

2. Motion in a Circular Path:

- When a body moves in a circle at constant speed, its velocity direction changes, but the speed (magnitude of velocity) remains constant.
- Since kinetic energy depends only on speed (not direction), KE remains constant during circular motion.

3. Additional Notes:

- Even though the body accelerates towards the center (centripetal acceleration), this does not change its speed.
- Therefore, kinetic energy stays the same as long as speed is constant.

Final Answer:

The kinetic energy of a body moving in a circular path with constant speed remains constant.

To solve the problem, we need to calculate the kinetic energy of a particle given its mass and velocity.

1. Understanding Kinetic Energy:

- Kinetic energy (KE) is the energy possessed by a body due to its motion.
- The formula to calculate kinetic energy is: where:
= mass of the particle (in kg)
= velocity of the particle (in m/s)

2. Given Values:

- Mass,
- Velocity,

3. Calculate Kinetic Energy:

Final Answer:

The kinetic energy of the particle is 9 Joules.