Question
Discuss the variation of mass with velocity.
✓
Answer
By Einstein's theory of relativity
$\text{m}=\frac{\text{m}_0}{\sqrt{1\frac{\text{v}_2}{\text{c}^2}}}$
= mass of moving body increases with velocity, because if v is increased $\Rightarrow\frac{\text{v}^2}{\text{c}^2}$ is increased.
$\Rightarrow1-\frac{\text{v}^2}{\text{c}^2}\text{ is decreased }$
$\Rightarrow\frac{\text{m}_0}{\sqrt{1\frac{\text{v}^2}{\text{c}^2}}}\text{is increased}.$
If v is zero then m = m0
$\text{m}=\frac{\text{m}_0}{\sqrt{1\frac{\text{v}_2}{\text{c}^2}}}$
= mass of moving body increases with velocity, because if v is increased $\Rightarrow\frac{\text{v}^2}{\text{c}^2}$ is increased.
$\Rightarrow1-\frac{\text{v}^2}{\text{c}^2}\text{ is decreased }$
$\Rightarrow\frac{\text{m}_0}{\sqrt{1\frac{\text{v}^2}{\text{c}^2}}}\text{is increased}.$
If v is zero then m = m0
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Can there be a two dimensional motion even though acceleration is present in only one direction?
Prove that in projectile motion, when bodies are projected at angle $\left(45^{\circ}+\phi\right)$ and $\left(45^{\circ}-\phi\right)$ from the horizontal, their horizontal range will be same.
→Obtain $\omega=\omega_0+\alpha t$ from first principles.
→A block of mass M is held against a rough vertical wall by pressing it with a finger. If the coefficient of friction between the block and the wall is $\mu$ and the acceleration due to gravity is g, calculate the minimum force required to be applied by the finger to hold the block against the wall?
→Why does a cycle tube burst in summer?
What is the acceleration due to gravity on the top of Mount Everest? Mount Everest is the highest mountain peak of the world at the height of 8848m. The value at sea level is 9.80m/s2.
What is the Bulk modulus for a perfect rigid body?
A person driving a car suddenly applies the brakes on seeing a child on the road ahead. If he is not wearing seat belt, he falls forward and hits his head against the steering wheel. Why?
A park has a radius of 10m. If a vehicle goes round it at an average speed of 18km/ hr, what should be the proper angle of banking?
A car of mass 1000kg moving with a speed of 30ms-1 collides with the back of a stationary lorry of mass 9000kg. (Fig.). Calculate the speed of the vehicles immediately after the collision if they remain jammed together.
