Question

What will be the relativistic speed and momentum of the particle if relativistic mass of the particle will be doubled than the rest mass?
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Answer 1

Answer:

Relativistic momentum p is classical momentum multiplied by the relativistic factor γ. p = γmu, where m is the rest mass of the object, u is its velocity relative to an observer, and the relativistic factor γ=1√1−u2c2 γ = 1 1 − u 2 c 2 . At low velocities, relativistic momentum is equivalent to classical momentum.

Answer 2

Concept

A moving body's relative speed is its speed in relation to another. The differential between two moving bodies determines their relative speed while they are travelling in the same direction. The sum of an object's mass and velocity is its momentum. Simply said, it is the quantity that determines how much motion an item has. An object has momentum if it is in motion.

Given

Mass of the particle will be doubled than the rest mass.

To Find

We have to find the impact of doubling of mass on relative speed and momentum.

Solution

According to the problem,

Momentum = mass * velocity.

Velocity is independent of mass hence increasing of decreasing mass won't affect relative velocity.

But momentum is directly proportional to mass hence if mass is doubled then momentum will also get doubled.

Hence, relative velocity remains same but momentum gets doubled.

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