Linear Momentum of a System of Particles

Two bodies of masses ${\mathrm{m}}_1$ and ${\mathrm{m}}_2$ are dropped from heights ${\mathrm{h}}_1$ and ${\mathrm{h}}_2$ respectively. On reaching the ground, they acquire equal momenta. If ${\mathrm{h}}_1>{\mathrm{h}}_2$, the ratio of kinetic energy of ${\mathrm{m}}_1$ to that of on reaching the ground will be

Compare the momentum of two of this of mass $10 \mathrm{kg}$and $40 \mathrm{kg}$ respectively but having the same kinetic energy.

Two hockey players of opposite teams, while trying to hit a hockey ball on the ground collide and immediately become entangled. One has a mass of $60 \mathrm{kg}$ and was moving with a velocity $5.0 \mathrm{m} {\mathrm{s}}^{-1}$ while the other has a mass of $55 \mathrm{kg}$ and was moving faster with a velocity $6.0 \mathrm{m} {\mathrm{s}}^{-1}$ towards the first player. In which direction and with what velocity will they move after they become entangled? Assume that the frictional force acting between the feet of the two players and ground is negligible.

A nucleus disintegrates into two nuclear parts which have their velocities in the ratio $2:1$. The ratio of their nuclear sizes will be

A man throws a ball straight up. The ball has a momentum in the vertically upward direction.The principle of conservation of momentum demands that the earth has

Two balls having linear momenta ${\overrightarrow{p}}_1=p\hat{\mathrm{i}}$ and ${\overrightarrow{p}}_2=-p\hat{\mathrm{i}}$, undergo a collision in free space. There is no external force acting on the balls. Let ${\overrightarrow{p}}_1^{\text{'}}$ and ${\overrightarrow{p}}_2^{\text{'}}$ be their final momenta. The following option (s) is (are) not allowed for any non-zero value of $p, a_1, a_2, b_1, b_2, c_1$ and $c_2$.

A man of mass $50 \mathrm{kg}$ is standing at one end of a boat of length $25 \mathrm{m}$ and mass $200 \mathrm{kg}$. He starts running and when he reaches the other end, he has a velocity $2{ \mathrm{ms}}^{-1}$ with respect to the boat. The final velocity of the boat is (in ${\mathrm{ms}}^{-1}$)

A shell of mass $10 \mathrm{kg}$ is moving with a velocity of $10{ \mathrm{m} \mathrm{s}}^{-1}$ when it blasts and forms two parts of mass $9 \mathrm{kg}$ and $1 \mathrm{kg}$ respectively. If the 1st mass is stationary, the velocity of the $2\mathrm{nd}$ is

A ball of mass $0.2 \mathrm{kg}$ rests on a vertical post of height $5 \mathrm{m}$. A bullet of mass $0.01 \mathrm{kg}$, travelling with a velocity $v \mathrm{m}/\mathrm{s}$ in a horizontal direction, hits the centre of the ball. After the collision, the ball and bullet travel independently. The ball hits the ground at a distance of $20 \mathrm{m}$ and the bullet at a distance of $100 \mathrm{m}$ from the foot of the post. The initial velocity $v$ of the bullet is

A shell is fired from a cannon with a velocity $v$ $\left(\mathrm{m} {\mathrm{s}}^{-1}\right)$  at an angle $\theta$ with the horizontal direction. At the highest point in its path it explodes into two pieces of equal mass. One of the pieces retraces its path to the cannon with speed $v \cos \theta$ then the speed (in $\mathrm{m} {\mathrm{s}}^{-1}$) of the other piece immediately after the explosion is

A $3 \mathrm{kg}$ ball strikes a heavy rigid wall with a speed of $10 \mathrm{m}/\mathrm{s}$ at an angle of $60°$ with the wall. It gets reflected with the same speed at $60°$ as shown in Fig.If the ball is in contact with the wall for $0.2 \mathrm{s}$, the average force on the ball by the wall is:

A bullet in motion hits and gets embedded in a solid block resting on a frictionless table. What is conserved?

The $K.E.$ of a body is doubled. Its momentum will

A sphere collides elastically and obliquely to an another stationary identical sphere. If $\overrightarrow{v_1}$ and $\overrightarrow{v_2}$ are their velocities after collision then $\overrightarrow{{\mathit{v}}_{\mathit{1}}}\mathit{·}\overrightarrow{{\mathit{v}}_{\mathit{2}}}$ is

Two bodies of masses $m_1$ and $m_2$ have equal kinetic energies. Find the ratio of their linear momenta.

Establish the relation between kinetic energy and momentum of a body.

Which class was abolished during the Meiji Restoration?

What is the journal entry for the receipt of interest on investment?

Which of the following committees scrutinizes the bill in detail after its introduction in the Parliament?

What is the typical capital investment pattern of global enterprises?