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Question

Why is the mass of an object increased when the velocity of the object is close to or equivalent to that of the speed of light ?? ( PLEASE EXPLAIN AT A 9th SATNADRD STUDENT LEVEL)

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Solution

It is not necessary to approach the speed of light for the mass to increase. Mass of all the moving object will be slightly more than the rest mass. Body having greater energy will have greater mass.

Few term to know before I can give some example.

Rest Mass/Rest Energy → It is the mass/energy of body when it is at rest. Rest mass and rest energy are equivalent and proportional to each other. It is inherent property of matter and is same almost everywhere.

Relativist Mass/Energy→ When a body is in motion, it total energy is greater than its rest energy, and hence the relativistic mass is greater than rest mass.

Now, let us consider two clock exactly same atom by atom 1) Working clock with moving hands 2) Exactly same clock as in 1. but non-working i.e. its hands are not moving.

Since clock 1 has more energy than clock 2, its total mass will be greater than clock 2.

Now, m = delta E / c^2. We can see that denominator is c^2 which is very big, so the extra mass due to energy is very very small but not 0(zero). But, if the object moves with velocity of light, this extra mass due to energy is big.

One more example, if you turn on the flash light its mass will drop (drop in mass will be very small), as the energy stored in it in the form of potential/chemical energy escapes out in the form of light.

So, in short total mass of a body is rest mass + extra mass due to its energy ( all forms of energy KE, PE , HEAT etc). Greater energy will have greater relativistic mass.


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