Particle A has half the mass and twice the speed of particle B. Is the momentum PA less than, greater than, or equal to PB? Explain.

Short Answer

Expert verified

The momentum ofPAis greater than the momentum ofPB.

Step by step solution

01

Given information

It is given that the mass of particle A is half the mass of B and Particle A has double the speed.

02

Explanation

In classical theory, they are deemed equal. While in the theory of relativity,

papb=γpa0.5mb2ubγpbmbub=γpaγpb>1

As papb>1

i.epa>pb

Therefore,

The momentum ofPAis greater than the momentum ofPB.

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