Kinetic Energy

The $K\mathit{.}E\mathit{.}$ acquired by a mass $m$ in travelling a certain distance $d$, starting from rest, under the action of a constant force is directly proportional to:

A $16 \mathrm{kg}$ block moving on a frictionless horizontal surface with a velocity of $4 \raisebox{1ex}{$\mathrm{m}$}\!\left/ \!\raisebox{-1ex}{$\mathrm{s}$}\right.$ compresses an ideal spring and comes to rest, if the force constant of the spring be $100 \raisebox{1ex}{$\mathrm{N}$}\!\left/ \!\raisebox{-1ex}{$\mathrm{m}$}\right.$, then the spring is compressed by

Two masses of $1 \mathrm{g}$ and $4 \mathrm{g}$ are moving with equal kinetic energy. The ratio of the magnitude of their momenta is

In the non-relativistic regime, if the momentum, is increased by $100\%,$ the percentage increase in kinetic energy is

Kinetic energy of a body can be increased more by _____.

A shell explodes in mid-air. It's total:

An air molecule of mass $5.0\times {10}^{-26} \mathrm{kg}$ and moving with a speed of $500 \mathrm{m} {\mathrm{s}}^{-1}$ has a kinetic energy of about $\left(e=1.6\times {10}^{-19} \mathrm{C}\right)$

If the linear momentum is increased by $50\%$ then the kinetic energy will increase by

Kinetic energy of a body increases times when its momentum is increased  $\text{'}n\text{'}$ times.

Which of the following statements is correct?
1) Kinetic energy of a system can be changed without changing its momentum
2) Kinetic energy of a system cannot be changed without changing its momentum
3) Momentum of a system cannot be changed without changing its kinetic energy
4) Body cannot have energy without having momentum

A particle of mass $m_1$ is moving with a velocity $v_1$ and another particle of mass $m_2$ is moving with a velocity $v_2.$ Both of them have the same momentum but their different kinetic energies are $E_1$ and $E_2$ respectively. If $m_1>m_2$ then

A projectile is projected with a kinetic energy $K.$ Its range is $R.$ It will have the minimum kinetic energy after covering a horizontal distance equal to

An object of $1 \mathrm{kg}$ mass has a momentum of $10 \mathrm{kg} \mathrm{m} {\sec }^{-1}$ then the kinetic energy of the object will be

The ratio of momenta of an electron and an $\alpha$- particle which are accelerated from rest by a potential difference of $100 \mathrm{V}$ is:

If the momentum of a particle with fixed mass is doubled, its kinetic energy,

Choose the most appropriate statement :

$S_1$: The acceleration and velocity of a particle undergoing circular motion are always perpendicular to each other.
$S_2$: A system cannot have kinetic energy when its momentum is zero.
$S_3$:  A body can have negative total mechanical energy.

What will be the decrease in momentum of a body if it's kinetic energy decreases by $36\%$ ?