mechanics Questions

A particle moves in a straight line with retardation proportional to its displacement. Its loss of kinetic energy for any displacement $x$ is proportional to:

A projectile can have the same range $R$ for two angles of projection. If $T_1$ and $T_2$ be the time of flights in the two cases, then the product of the two time of flights is directly proportional to:

A machine gun fires a bullet of mass $40\text{g}$ with a velocity $1200\text{m/s}$. The man holding it can exert a maximum force of $144\text{N}$ on the gun. How many bullets can he fire per second at the most?

Two masses $m_1=5\text{kg}$ and $m_2=4.8\text{kg}$ tied to a string are hanging over a light frictionless pulley. What is the acceleration of the masses when left free to move? (Take $g=9.8{\text{m/s}}^2$)

A uniform chain of length $2\text{m}$ is kept on a table such that a length of $60\text{cm}$ hangs freely from the edge of the table. The total mass of the chain is $4\text{kg}$. What is the work done in pulling the entire chain on the table?

A particle is acted upon by a force of constant magnitude which is always perpendicular to the velocity of the particle. The motion of the particle takes place in a plane. It follows that:

One solid sphere $A$ and another hollow sphere $B$ are of same mass and same outer radii. Their moment of inertia about their diameters are respectively $I_A$ and $I_B$ such that:

A wire fixed at the upper end stretches by length $l$ by applying a force $F$. The work done in stretching is: