A body moves in a circular path with constant speed. Its kinetic energy:
- Remains constant
- Goes on increasing
- Goes on decreasing
- Becomes zero
The Correct Option is A
Solution and Explanation
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:
\[
KE = \frac{1}{2} m v^2
\]
where \( m \) is mass and \( v \) 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.
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