Change in momentum of different masses

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SUMMARY

The discussion centers on the relationship between mass and change in momentum when a constant force is applied. It is established that for a given impulse (Force x Time), the change in momentum remains constant regardless of mass. Specifically, if the mass is increased by a factor of four, the change in velocity will decrease by the same factor, ensuring that the overall change in momentum remains equal. This reinforces the principle that momentum is defined as mass multiplied by velocity.

PREREQUISITES
  • Understanding of Newton's Second Law of Motion
  • Familiarity with the concept of impulse
  • Basic knowledge of momentum and its formula (momentum = mass x velocity)
  • Ability to manipulate algebraic equations
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  • Study the implications of Newton's Second Law in various contexts
  • Explore the concept of impulse in different physical scenarios
  • Learn about conservation of momentum in collisions
  • Investigate the effects of varying forces on different masses
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Students studying physics, educators teaching mechanics, and anyone interested in understanding the principles of momentum and force interactions.

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Homework Statement


How is change in momentum related to mass? Will the change in momentum for a mass of 4m being pushed with constant force be same as the change in momentum for a mass of m being pushed with same force?

Homework Equations


The Attempt at a Solution



I know Change of momentum (i.e Impulse) is M(v-u) which is also equal to F.time. But that would suggest change in momentum for mass of $m is more than that of m. Is that right?
 
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Momentum is mass X velocity, or change in momentul is mass X change in velocity.
For a given impulse, F X Time, the change in momentum will be the same. If the mass is increased by 4 times, then the change in velocity will decrease by 4 times.
 
barryj said:
Momentum is mass X velocity, or change in momentul is mass X change in velocity.
For a given impulse, F X Time, the change in momentum will be the same. If the mass is increased by 4 times, then the change in velocity will decrease by 4 times.

Yup, that was my thought. Wanted to get it cleared. Thanks!
 

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