Nature of Physical Laws

A ball of mass 5kg moving at 3m/s collides with another ball of mass 3kg moving at 5m/s in the same direction. If the balls move together after the collision in the same direction, find their common velocity.

A planet moves around the sun. It is closest to sun at a distance $d_1$ and has velocity $v_1$ and farthest with distance $d_2,$ its speed at this point will be

Unification is a trial to correlate and unite various

Which of the following is an example of the nonconservative force?

A bomb at rest explodes into three parts of the same mass. The linear momentum of two parts are $-2P \widehat{i}$ and $P\widehat{j}$ . The magnitude of momentum of third part is $P\sqrt{x}$ . Find $x$ .

A planet revolves around a massive star in the elliptical orbit shown. Point A on the orbit corresponds to perigee. Consider motion of the planet from position P to position Q. About A, angular momentum of the planet

In an explosion, a body breaks up into two pieces of unequal masses. In this

A body of mass $1000\mathrm{ }\mathrm{k}\mathrm{g}$ is moving horizontally with a velocity $50 \mathrm{m} {\mathrm{s}}^{-1}$. A mass of $250\mathrm{ }\mathrm{k}\mathrm{g}$ is added. Find the final velocity.

The blocks of mass $m$ each are connected to a spring of spring constant $k$ as shown in figure. The maximum displacement in the block is

A railroad hand car is moving along straight frictionless track. In each of the following cases the car initially has a total mass (car and contents) of $200 \mathrm{kg}$ and is travelling with a velocity $4 \mathrm{m} {\mathrm{s}}^{-1}$. Find the final velocity (in$\mathrm{m} {\mathrm{s}}^{-1}$) of the car if a $20 \mathrm{kg}$ mass is thrown sideways out of the car with a velocity $2 \mathrm{m} {\mathrm{s}}^{-1}$ relative to the car.