A particle of mass $5 \;\mathrm{m}$ at rest suddenly breaks on its own into three fragments. Two fragments of mass $m$ each move along mutually perpendicetion with speed $v$ each. The energy released during the process is

A particle is projected vertically upwards with a speed of $16\  m/s$ , after some time , when it again passes through the point of projection, its speed is found to be $8\  m/s$ . It is known that the work done by air resistance is same during upward and downward motion. Then the maximum height attained by the particle is ...................... $\mathrm{m}$ ( $g$ = $10\  m/s^2$ )

Explain the different forms of energy.

$(a)$ The Equivalence of Mass and Energy

$(b)$ Nuclear Energy

$(c)$ The Principle of Conservation of Energy

A particle of mass $2 \,kg$ travels along a straight line with velocity $v=a \sqrt{x}$, where $a$ is a constant. The work done by net force during the displacement of particle from $x=0$ to $x=4 \,m$ is .........

Which of the following graphs is correct between kinetic energy $ (E), $ potential energy $(U)$  and height $(h)$ from the ground of the particle

A uniform chain (mass $M,$ length $L$) is released from rest from a smooth horizontal surface as shown in the figure. Velocity of the chain at the instant it completely comes out of the table will be