Question

The kinetic energy of a particle is double of its rest mass energy. Then the dynamic mass of the particle in terms of rest mass mo is:
a. 15mo
b. 2mo
c. mo
d. 3mo

Answer 1

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c) 2Mo.

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Answer 2

Answer:

Option B

The moving mass of the body or the dynamic mass is 2m₀

Solution:

When the object is moving with some velocity then it has a different mass that is mass of body is a relative quantity with its velocity.

The mass of the moving object to its rest mass is related by an equation,

$m=\frac{m_{0} }{\sqrt{1-\frac{v^{2} }{c^{2} } } }$

where

m₀=rest mass

v=velocity of the moving object

c=velocity of light

m= dynamic mass

Now the question says, kinetic energy of a particle is double of its rest mass energy

Suppose the body is shifting with any velocity v,

$KE(of dynamic mass)=2*KE(of\ rest\ mass )\\\frac{1}{2} mv^{2} =2*\frac{1}{2} m_{0}v^{2} \\On\ solving,\\m=2m_{0}$

So the shifting  mass of the body or the dynamic mass is 2m₀.