Question

A body moves in a circular path with constant speed. Its kinetic energy:

• A. Remains constant
• B. Goes on increasing
• C. Goes on decreasing
• D. Becomes zero

Answer 1

The Correct Option is A

To address the problem, it is necessary to comprehend the kinetic energy of an object traversing a circular trajectory at a uniform velocity.

1. Grasping Kinetic Energy:

- Kinetic energy (KE) is contingent upon the mass and velocity of the object.
- Equation: \[ KE = \frac{1}{2} m v^2 \] where \( m \) denotes mass and \( v \) signifies speed.

2. Circular Path Dynamics:

- In circular motion at a constant speed, the object's velocity vector alters direction, yet its speed (the magnitude of velocity) is invariant.
- Given that kinetic energy is solely dependent on speed, not direction, the KE remains unchanged during circular motion.

3. Supplementary Observations:

- Despite the object experiencing acceleration towards the center (centripetal acceleration), this does not affect its speed.
- Consequently, the kinetic energy remains constant provided the speed is maintained.

Conclusion:

The kinetic energy of an object executing circular motion at a steady speed is unchanging.