0

Guest

Courses New

proof of conservation of momentum? please answer fast tommorow is my exam

proof of conservation of momentum? please answer fast tommorow is my exam
 

Grade:12th Pass

1 Answers

Arun
25750 Points
6 years ago
First off momentum = mass x velocity. You can prove the conservation of momentum (i.e. that it stays the same unless a force acts upon a body) from Newton's laws.
Force = mass x acceleration
Acceleration is the change of velocity over time so:
Force = mass x ((velocity1 - velocity2) / time)
Or:
Force = ((mass x velocity1) - (mass x velocity2)) / time
Because mass x velocity is momentum, we can say:
Force = (momentum1 - momentum2) / time
Or:
Force x time = momentum1 - momentum2
Meaning a change in momentum is caused by force multiplied by time. If there is no force (or no time for it to be applied), the left hand side of the equation is zero, meaning momentum1 = momentum2 (and therefore there is no change in momentum).
Therefore, without a force being applied for a period of time, momentum is conserved.

Think You Can Provide A Better Answer ?

Other Related Questions on General Physics

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More