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A light mass and a heavy mass have equal momentum. Which will have more kinetic energy?(Hint : Kinetic energy K = P2/2m where P is the momentum) - Physics

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Question

A light mass and a heavy mass have equal momentum. Which will have more kinetic energy?

(Hint : Kinetic energy K = P2/2m where P is the momentum.)

Numerical

Solution

We know that momentum p = mass × velocity

Let m1, m2 be the mass of two bodies having velocity v1, v2

∴ Their momentum is m1 v1 and m2 v2

Since m1 v1 = m2 v2 (given),

If m1 < m2, v1 > v2

∴ Kinetic Energy of lighter mass is greater.

Since K.E = `1/2 mv^2`

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Chapter 2: Work, Energy and Power - Exercise 2 (B) 1 [Page 40]

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Selina Physics [English] Class 10 ICSE
Chapter 2 Work, Energy and Power
Exercise 2 (B) 1 | Q 12 | Page 40
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