A block of mass m is attached to two spring of spring constant as shown in figure. The block is displaced by x towards right and released. The velocity of the block when it is at will be :

Hence answer is isinx

A block attached to a spring, pulled by a constant horizontal force, is kept on a smooth surface as shown in the figure. Initially, the spring is in the natural state. Then the maximum positive work that the applied force F can do is : [Given that spring does not break]

The given plot shows the variation, the potential energy (U) of interaction between two particles with the separating distance (r) between them. Which of the above statements are correct?

1) B and D are equilibrium points
2) C is a point of stable equilibrium points
3) The force of interaction between the two particles is attractive between points C and D and repulsive between points D and E on the curve

In the figure shown the potential energy (U) of a particle is plotted against its position 'x' from origin. Then which of the following statement is correct. A particle at :

Velocity–time graph of a particle of mass 2 kg moving in a straight line is as shown in figure. Work done by all the forces on the particle is :

The work done in moving a particle under the effect of a conservative force, from position A to B is 3 joule and from B to C is 4 joule. The work done in moving the particle from A to C is :

A spring block system is placed on a rough horizontal surface having coefficient of friction . The spring is given initial elongation and the block is released from rest. For the subsequent motion

A particle of mass m = 1 kg is moving along y-axis and a single conservative force F(y) acts on it. The potential energy of particle is given by where is in meters. At the particle has kinetic energy of 15 . The total mechanical energy of the particle is

The kinetic energy of a particle continuously increase with time. Then

A particle moves in one dimensional field with total mechanical energy E. If potential energy of particle is , then

A body of mass m is slowly halved up the rough hill by a force at which each point is directed along a tangent to the hill. Work done by the force

Simple pendulum and have lengths = 80 cm and = 100 cm. The bob are of masses and . Initially both are at rest in equilibrium position. If each of the bobs is given a displacement of 2cm, the work done is respectively. Then,

The upper half of an inclined plane with inclination q is perfectly smooth while the lower half is rough. A body starting from rest at the top will again come to rest at the bottom if the coefficient of friction for the lower half is given by

A particle is projected along the inner surface of a smooth vertical circle of radius R, its velocity at the lowest point being It will leave the circle at an angular distance .... from the highest point.

The potential energy for the force if the zero of the potential energy is to be chosen at the point (2, 2, 2) is