Variation of Mass and Momentum With Velocity

A man, who weight $60 \mathrm{kg}$ on earth weight $61 \mathrm{kg}$ on a rocket as measured by an observer on earth. What is the speed of the rocket?

At what speed the mass of an object would be double its value at rest?

If the direction of velocity is change by ${180}^{\mathrm{o}}$ simultaneously, the mass would

The rest mass of a photon is equal to

An object of rest mass $0.6 \mathrm{kg}$ is moving with a speed of $0.8 \mathrm{C}$. Its effective mass is_____________.

A body of mass $5 \mathrm{kg}$ initially at rest explodes into $3$ fragments with mass ratio $3 : 1 : 1.$Two of fragments each of mass $\text{'}\mathrm{m}\text{'}$are found to move with a speed $60 \mathrm{m}/\mathrm{s}$ in mutually perpendicular directions. The magnitude of velocity of third fragment is :

Which basic law is used for the deviation of mass variation with velocity.

A trolley of mass $6 \mathrm{kg}$ strikes a wall with a speed of $3 \raisebox{1ex}{$\mathrm{m}$}\!\left/ \!\raisebox{-1ex}{$\sec $}\right.$ and rebounds with a speed of $2 \raisebox{1ex}{$\mathrm{m}$}\!\left/ \!\raisebox{-1ex}{$\sec $}\right.$. What is the change in the momentum of the trolley as a result of the collision?

The momentum of a body increases by $20\%$. What is the percentage increase in its kinetic energy?

A man, who weight $60 \mathrm{Kg}$ on earth weights $61 \mathrm{Kg}$ on a rocket as measured by an observer on earth. What is the speed of the rocket?

At what speed the mass of an object would be double its value at rest?

If the direction of velocity is change by ${180}^{\mathrm{o}}$ simultaneously, the mass would

The rest mass of a photon is equal to __________?

At what speed the volume of an object shrinks to half its rest value ?

A Metallic cube of density $d$ moves with a speed $0.8c$. Its density increases.

A proton at rest is accelerated through a high potential difference. Speed acquired by proton is $2.5\times {10}^8 \mathrm{m}/\mathrm{s}$. Rest mass of proton is $1.67\times {10}^{-27} \mathrm{kg}$. The accelerating potential difference is $7\times {10}^x$. Find $x$.

When the speed of a particle becomes equal to $\sqrt{\frac{2}{3}}c$ , it's mass gets doubled.

When a material particle of rest mass $m$ attains speed $c$ i.e. velocity of light, its mass becomes infinite.

As the speed of a particle increases, its rest mass

A Space-ship in space will have :

(i) Clocks running slower than a stationary clock by a factor $\sqrt{1-\frac{{\mathrm{v}}^2}{{\mathrm{c}}^2}}$

(ii) Its length shrunk in the direction of the relative motion by factor of $\sqrt{1-\frac{{\mathrm{v}}^2}{{\mathrm{c}}^2}}$

(iii) Its mass is increased by a factor $\frac{1}{\sqrt{1-\frac{{\mathrm{v}}^2}{{\mathrm{c}}^2}}}$