Work Energy and...

This question has statement 1 and statement 2. Of the four choices given after the statements, choose the one that best describes the two statements.
If two springs $$\mathrm{S}_{1}$$ and $$\mathrm{S}_{2}$$ of the force constants $$\mathrm{k}_{1}$$ and $$\mathrm{k}_{2}$$, respectively, are stretched by the same force, it is found that more work is done on spring $$\mathrm{S}_{1}$$ than on spring $$\mathrm{S}_{2}$$.
Statement-l : When stretched by the same amount, work done on $$\mathrm{S}_{1}$$, will be more than that of $$\mathrm{S}_{2}$$
Statement-2: $$\mathrm{k}_{1}<\mathrm{k}_{2}$$.

A body of mass starts moving from rest along x-axis so that its velocity varies as $$v = a\sqrt {s}$$ where $$a$$ is a constant and $$s$$ is the distance covered by the body. The total work done by all the forces acting on the body in the first seconds after the start of the motion is:

When a rubber-band is stretched by a distance $$x$$, it exerts a restoring force of magnitude $$F = ax + bx^2$$ where $$a$$ and $$b$$ are constants. The work done in stretching the unstretched rubber band by $$L$$ is

If collision between the block and the incline is completely elastic, then the vertical (upward) component of the velocity of the block at point B, immediately after it strikes the second incline is

What is the minimum velocity with which a body of mass $$m$$ must enter a vertical loop of radius $$R$$ so that it can complete the loop?

Two similar spring P and Q have spring constants $$K_P$$ and $$K_Q$$, such that $$K_P > K_Q$$. They are stretched, first by the same amount (case a), then by the same force (case b). The work done by the spring $$W_P$$ and $$W_Q$$ are related as, in case (a) and case (b), respectively:

A ball is suspended by a thread of length L at the point O on a wall which is inclined to the vertical by $$\alpha$$. The thread with the ball is displaced by a small angle $$\beta$$ away from the vertical and also away from the wall. If the ball is released, the period of oscillation of the pendulum when $$\beta > \alpha$$ will be 

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?

How much work must be done by a force on $$50\ $$$$kg$$ body in order to accelerate it from rest to $$20\ m/s$$  in $$10\ $$$$s$$ ?

The amount of work done in stretching a spring from a stretched length of 10 cm to a stretched length of 20 cm is-