What is the relationship between speed and momentum increase?

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SUMMARY

The discussion focuses on the relationship between speed and momentum increase in the context of relativistic physics. A particle with an initial speed of 0.47c experiences a 1% increase in momentum at a speed of 0.4747c. The user initially attempted to calculate the speeds for 10% and 100% increases in momentum by simple multiplication, indicating a misunderstanding of relativistic momentum. The correct approach requires applying the relativistic definition of momentum, which is essential for accurate calculations at high speeds.

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freefallin38
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[SOLVED] Simple Momentum problem

A particle initially has a speed of 0.47c.
(a) At what speed does its momentum increase by 1%?
.4747c
(b) At what speed does its momentum increase by 10%?
____c
(c) At what speed does its momentum increase by 100%?
____c

To get the answer for part a, i just multiplied the speed by 1.01. I assumed that I would do the same, except 1.1 and 2 for parts b and c respectively, but the answers are not right. I have a feeling I'm just missing something but can't quite figure out what it is.
 
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What's the relativistic definition of momentum?
 
ahhh right now i see!
 

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