The Question is from NEET guide , and it was created by the author SUBHANI

Question

An object has a kinetic energy of 10 J. If its mass is 2 kg, what is its speed?

SUBHANI · Accepted Answer

## CORE INFORMATION
✓ **Answer**: [Option C]
## CONCEPT FRAMEWORK
	**Primary Concept**: Kinetic Energy
	**Related Topics**: Energy, Motion
	**Prerequisites**: Understanding of kinetic energy formula.
## SOLUTION PATHWAY
**Given Information**:
	Kinetic Energy (KE) = 10 J
	Mass (m) = 2 kg
	Speed (v) = ?
**Method & Steps**:
	1. Identify the relevant formula.
		Reasoning: The formula that relates kinetic energy, mass, and speed is the kinetic energy formula.
		Formula/Rule: $KE = \frac{1}{2}mv^2$
	2. Rearrange the formula to solve for speed (v).
		Working:  $v^2 = \frac{2KE}{m}$ and $v = \sqrt{\frac{2KE}{m}}$
		Key Point:  We need to isolate 'v' to calculate the speed.
	3. Substitute the given values and calculate the speed.
		Working: $v = \sqrt{\frac{2 * 10 J}{2 kg}} = \sqrt{10} \approx 3.16 \frac{m}{s}$
		Result: The speed of the object is approximately 3.16 m/s.
		Verification:  Plugging 3.16 m/s back into the KE formula should yield approximately 10J.
 ## OPTION ANALYSIS
[A] :x: This answer corresponds to a speed of 1 m/s, which results in a KE of 1J.
[B] :x: This answer corresponds to a speed of 2.24 m/s, which results in a KE of 5J.
[C] ✓: This answer corresponds to the calculated speed of 3.16 m/s, which results in a KE of approximately 10J.
[D] :x: This answer corresponds to a speed of 5 m/s, which results in a KE of 25J.
 ## LEARNING AIDS
	**Common Mistakes**:
		1.  Forgetting to take the square root: Remember that the formula gives v squared, not v itself.
		2.  Incorrectly rearranging the formula: Be careful with the order of operations when isolating the speed variable.
	**Quick Tips**:
		1.  Always write down the given information and the required variable before starting the calculation.
		2.  Double check your units. They should be consistent throughout the calculation.

SUBHANI · Answer

1 m/s

SUBHANI · Answer

2.24 m/s

SUBHANI · Answer

The correct Option is "3.16 m/s"

SUBHANI · Answer

5 m/s

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