Ratio of Momentum of m1 to m2: A, B, C or D?

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SUMMARY

The discussion centers on calculating the ratio of momentum between two masses, m1 and m2, given that they possess equal kinetic energy. The correct answer is derived from the relationship between kinetic energy and momentum, leading to the conclusion that the ratio of momentum is expressed as the square root of the mass ratio, specifically option D: Square root of (m1/m2). This is established by recognizing that momentum (p) is related to kinetic energy (KE) through the equation p = √(2 * m * KE).

PREREQUISITES
  • Understanding of kinetic energy and its formula: KE = 1/2 mv^2
  • Knowledge of momentum and its formula: p = mv
  • Familiarity with algebraic manipulation of equations
  • Basic physics concepts regarding mass and motion
NEXT STEPS
  • Study the derivation of momentum from kinetic energy equations
  • Explore the relationship between mass, velocity, and momentum in different physical contexts
  • Learn about conservation of momentum in collision scenarios
  • Investigate the implications of mass ratios on momentum in various physics problems
USEFUL FOR

Students studying physics, educators teaching mechanics, and anyone interested in understanding the principles of momentum and kinetic energy relationships.

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Homework Statement


Two masses m1 and m2 have the same kinetic energy. What is the ratio of momentum of m1 to m2

This is an objective question
A. m1 / m2

B. m2/ m1

C. m1^2 / m2^2

D. Square root of (m1/m2)
 
Physics news on Phys.org
Can you express the momentum of a particle in terms of its kinetic energy? If so, then take the ratio.
 

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