# What is the relationship between speed and momentum increase?

• freefallin38
In summary, the question involves calculating the speed at which the momentum of a particle increases by a certain percentage. For part a, the speed is 0.4747c when the momentum increases by 1%. However, simply multiplying the speed by 1.1 and 2 for parts b and c respectively does not give the correct answers. The correct answer can be found by using the relativistic definition of momentum.
freefallin38
[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.

What's the relativistic definition of momentum?

ahhh right now i see!

## 1. What is momentum?

Momentum is a physical quantity that describes the motion of an object. It is defined as the product of an object's mass and its velocity.

## 2. How is momentum calculated?

Momentum is calculated by multiplying an object's mass (m) by its velocity (v), using the formula p = m * v.

## 3. What are the units of momentum?

The unit of momentum is kilogram-meter per second (kg*m/s).

## 4. Why is momentum important?

Momentum is important in understanding the motion of objects and predicting their behavior. It is also a conserved quantity, meaning that it remains constant unless acted upon by an external force.

## 5. How is momentum conserved in a simple momentum problem?

In a simple momentum problem, the total momentum of a system remains constant before and after a collision or interaction between objects. This means that the summed momenta of all objects involved will be the same before and after the event.

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