Work, Energy an...

A particle P moving with speed v undergoes a head on elastic collision with another particle Q of identical mass but at rest. After the collision

Two identical cylindrical vessels with their bases at same level each contains a liquid of density ρ. The height of the liquid in one vessel is h₁ and that in the other vessel is h₂. The area of either base is A. The work done by gravity in equalising the levels when the two vessels are connected, is

A mass of M kg is suspended by a weightless string, horizontal force that is required to displace it until the string makes an angle of 45^o with the initial vertical direction is

A particle is placed at the origin and a force F = kx is acting on it (where k is positive constant). If U(O) = 0, the graph of U(x) versus x will be (where U is the potential energy function)

The relationship between force and position is shown in the figure given (in one dimensional case). The work done by the force in displacing a body from x = 1 cm to x = 5cm is

The pointer reading v / s load graph for a spring balance is as given in the figure. The spring constant is

A force-time graph for a linear motion is shown in figure where the segments are circular. The linear momentum gained between zero and 8 sec is

Adjacent figure shows the force-displacement graph of a moving body, the work done in displacing body from x = 0 to x = 35 m is equal to

A toy car of mass 5 kg moves up a ramp under the influence of force F plotted against displacement x. The maximum height attained is given by