The Question is from NEET guide , and it was created by the author Mr. ANIL KUMAR.G

Question

A body is moving with a constant speed in a circular path.  Which of the following statements is true about its kinetic energy?

Mr. ANIL KUMAR.G · Accepted Answer

## CORE INFORMATION
✓ **Answer**: Option C
## CONCEPT FRAMEWORK
	**Primary Concept**: Kinetic Energy and Circular Motion
	**Related Topics**: Speed, Velocity, Circular Motion, Rotational Kinetic Energy
	**Prerequisites**: Definition of kinetic energy, understanding of speed and velocity in circular motion
## SOLUTION PATHWAY
**Given Information**:
	* The body is moving with a constant speed.
	* The body is moving in a circular path.
**Method & Steps**:
	1.  Recall the formula for kinetic energy.
		Reasoning: Kinetic energy is the energy an object possesses due to its motion.
		Formula/Rule: $KE = \frac{1}{2}mv^2$, where KE is kinetic energy, m is mass, and v is speed.
	2.  Analyze the given information in the context of the kinetic energy formula.
		Working: Since the speed (v) is constant and the mass (m) of the body doesn't change, the kinetic energy remains constant. The direction of motion is changing in circular motion, but kinetic energy is dependent on speed, not velocity.
		Key Point:  Kinetic energy is a scalar quantity, which depends on the magnitude of velocity (speed).
	3.  Conclude based on the analysis.
		Result: The kinetic energy remains constant.
		Verification: The formula clearly shows that if speed and mass are constant, then kinetic energy is constant.
 ## OPTION ANALYSIS
[A] :x: It increases continuously. -  Incorrect because the speed is constant, so kinetic energy cannot increase continuously.
[B] :x: It decreases continuously. - Incorrect because the speed is constant, so kinetic energy cannot decrease continuously.
[C] ✓: It remains constant. - Correct because since the speed of the body is constant, the kinetic energy, $KE = \frac{1}{2}mv^2$, remains constant.
[D] :x: It oscillates between a maximum and minimum value. - Incorrect as the speed is constant, and hence kinetic energy cannot oscillate between maximum and minimum values.
 ## LEARNING AIDS
	**Common Mistakes**:
		1. Confusing speed and velocity: In circular motion, velocity changes continuously (direction changes), but speed can be constant. Kinetic energy depends on speed, not velocity. 
		2. Assuming kinetic energy changes because of circular motion: Kinetic energy changes if the speed changes, not due to the change in direction.
	**Quick Tips**:
		1. Remember that kinetic energy depends only on the magnitude of velocity (speed), not the direction.
		2. If speed is constant, kinetic energy is constant.

Mr. ANIL KUMAR.G · Answer

It increases continuously.

Mr. ANIL KUMAR.G · Answer

It decreases continuously.

Mr. ANIL KUMAR.G · Answer

The correct Option is "It remains constant."

Mr. ANIL KUMAR.G · Answer

It oscillates between a maximum and minimum value.

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