A body of mass $3M$ at rest explodes into two pieces of mass $M$ and $2M$. What is the ratio of the kinetic energy of $M$ to that of $2M$?

The diagram shows two identical containers, $X$ and $Y$, that are connected by a thin tube of negligible volume. Initially container $X$ is filled with water of mass $m$ up to a height $h$ and $Y$ is empty.

The valve is then opened and both containers contain equal quantities of water. The loss of gravitational potential energy of the water is:

The graph shows the path followed by the stone, until just before hitting the ground, in the absence of the air resistance.

Draw the path of the stone in the presence of an air resistance force opposite the velocity and proportional to the speed.

For given graph state and explain motion without air resistance and with air resistance. And why it's happening?

For the given information, determine the power generated by the helicopter. ( in W)

$F= {\mathrm{\pi \rho v}}^2{\mathrm{R}}^2$

$\rho = 1.2 kg/m^3$

$m=0.30 kg$

$R = 0.25 m$

$v = 3.5 m/s$

If the object moving in the horizontal direction with an acceleration $29.4 m/s^2$, what is the velocity after time $0.95s$? (in m/s)

Here initial velocity is zero.