Momentum comparison at equal kinetic energy: Two masses m1 and m2 (m1 > m2). Condition: Kinetic energies of both bodies are equal. Choose the correct comparison of their momenta.

Difficulty: Easy

Correct Answer: Momentum of m1 is greater than momentum of m2

Explanation:

Given data

Concept/Approach
For a body: K = p² / (2m) ⇒ p = √(2mK).

Step-by-step calculation
p₁ = √(2 m₁ K), p₂ = √(2 m₂ K). Since m₁ > m₂ and K is common, √(m₁) > √(m₂). Therefore p₁ > p₂.

Common pitfall
Assuming equal KE means equal momentum — only true if masses are equal.

Final Answer
Momentum of m1 is greater than momentum of m2

Discussion & Comments

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