A particle of mass $m$ moves on a straight line with its velocity varying with the distance travelled according to the equation ;$\displaystyle v= \alpha \sqrt{x},$ where& ;a is a constant. Find the total work done by all the forces during a displacement from $x=0$ to $x=d$.

You lift a suitcase from the floor and keep it on the table. The work done by you on the suitcase depends on

The force constant of a wire is k and that of another wire is $2k$When both the wires are stretched through same distance, then the work done.

The force on a particle as the function of displacement x(in x-direction) is given by $F=10+0.5x$

The work done corresponding to displacement of particle from $x=0$ to $x=2$ unit is?

A body of mass travels in a straight line with a velocity $v=kx^{3/2}$ where $k$ is a constant. The work done in displacing the body from $x=0$ to $x$ is proportional to: