Work, Energy an...

The work done by the force is defined to be

In a graph of F(x) vs x, the area under the curve

The power of a pump, which can pump 200 kg of water to a height of 50 m in 10 s, will be (g = 10 m/s²)

In which case is the work done zero?

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

If F is a force and d is the displacement in the direction of force then the work done by the force is given by

A particle is released from a height 'S'. At a certain height, its kinetic energy is three times its potential energy. The respective height and speed of the particle at that instant are

A body of mass 'm' is accelerated uniformly from rest to a speed 'v' in time 'T'. The instantaneous power delivered by the body as a function of time is given by

The scalar product of two vectors A and B in terms of the projections of the vectors on the x, y and z axis is

An isolated particle of mass m is moving in a horizontal plane (x – y), along the x-axis, at a certain height above the ground. It suddenly explodes into two fragments of masses m/4 and 3m/4. An instant later, the smaller fragment is at y = + 15 cm. The larger fragment at this instant is at

The scalar product of two vectors A and B in terms of the magnitudes and angle θ is

Directions: The following question has four choices out of which ONLY ONE is correct.

The potential energy of a body is given by A - Bx². The magnitude of force acting on the particle is

Directions: The following question has four choices out of which ONLY ONE is correct.

A force of 60 N is applied on a body at an angle of 60° with a horizontal, and displaces it through 5 m along horizontal. What is the work done?

The relationship between the force 'F' and the position 'x' of a body is as shown in the figure. What will be the work done in displacing the body from x = 1 m to x = 5 m?

A mass m is attached to the end of a rod of length l. The mass goes around a vertical circular path with the other end hinged at the centre. What should be the minimum velocity of mass at the bottom of the circle, so that the mass completes the circle?

A cricket ball is hit at 45⁰ to the horizontal with kinetic energy K.The kinetic energy at the highest point is

Directions: The following question has four choices, out of which ONLY ONE is correct.

A bullet of mass 10 × 10^-3 kg moving with a speed of 20 ms^-1 hits an ice block (0^oC) of 990 g kept at rest on a frictionless floor and gets embedded in it. If ice takes 50% of KE lost by the system, the amount of ice melted (in grams) approximately is: (J = 4.2 J/cal) (Latent heat of ice = 80 cal/g)

The scalar product of two vectors A and B is

The change in kinetic energy of a particle is equal to the

The S.I unit of force is

A particle moves from position  to position  under action of force . The work done will be

An electric pump is used to fill an overhead tank of capacity 9 m³ kept at a height of 10 m above the ground. If the pump takes 5 minutes to fill the tank by consuming 10 kW power, then the efficiency of the pump must be (take g = 10 ms^-2)

A body of mass 1 kg is moving in a vertical circular path of radius 1 m. The difference between the kinetic energies at its highest and lowest positions is

300 J of work is done in sliding a 2 kg block, up an inclined plane to a height of 10 meters. Taking value of acceleration due to gravity 'g' to be 10 m/s² , work done against friction is

The scalar product of vectors is