A particle of mass 10 kg is moving with a velocity of $10\sqrt{x}$ m/s, where x is displacement. The work done by net force during the displacement of the particle from x = 4 m to x = 9 m is:

Which of the following statement is correct regarding potential energy?

A body A of mass 10 kg at rest starts slipping from the top of the inclined plane of height 10 m as shown. If it reaches the ground at 10 m/s, then work done by friction is

A body is released from the top of an inclined smooth plane of inclination $\mathrm{\theta }$. It reaches the bottom with speed u. If the angle of inclination is doubled keeping the height unchanged, then the speed of the object on reaching on the ground is

Select the correct statement. Work is done by the internal forces on the system

The potential energy of a particle of mass 1 kg free to move along the X-axis is given by $\mathrm{U}\left(\mathrm{x}\right) = \left(3{\mathrm{x}}^2 - 4\mathrm{x} +\hspace{0.17em}6\right) \mathrm{J}$. The force acting on the particle at x = 0 will be:

The potential energy of a particle of mass m varies as $U=a{x}^2+by.$ The magnitude of the acceleration of the particle at (0, 3) is (symbols have their usual meaning)

A ball of mass 100 g at rest is thrown on a horizontal surface as shown in the figure. The acceleration-displacement graph for the motion is given. The maximum height attained by the ball on the smooth inclined plane is

A body moving with speed 10 m/s is stopped by applying constant braking power in 5 seconds. If the speed of the body is 30 m/s, then time in which the body can be stopped by applying the same retarding power is

A 50 kg straight uniform rod of length 2 m is lying on a horizontal floor. If a man successfully tries to erect the rod at 60° with vertical, then the amount of work done by the man is

A small ball is given a velocity $\sqrt{2gl}$ on the smooth horizontal floor which leads to a smooth vertical circular path. The ball will Smooth

A vertically compressed spring of constant k releases a ball of mass m as shown in the figure. The maximum height attained by the ball from the compressed point is (x is the initial compression in the spring)

Work done the spring force in a time interval maybe

 A ball of mass m at rest starts moving from point A. The irregular surface is frictionless. The speed of the ball at the point C on the track is

A ball is allowed to fall from a height of 10 m. If there is a 40% loss of energy due to impact, then after one impact ball will go up by

In a conservative field, work is done on a body by the field, then

Work is done by an agent applying force when

A bob of a simple pendulum is released from position A. Velocity of the bob when it is at lowest position A is

A bob is suspended from a peg on a wall by a massless string of length L. If it is given velocity $\sqrt{2gL}$ at the lowest point, then angular amplitude with which body will oscillate is

The ratio of the kinetic energy of a particle projected from the ground at the  highest point to point of projection is 1/4. The angle of projection with horizontal is

A body moves a distance of 10 m along a straight line under the action of a force 5 N. If the work done is 25 joule, the angle which the force makes with the direction of motion of body is

A particle of mass m is moving in a circular path of constant radius r such that its centripetal acceleration ${\mathrm{a}}_{\mathrm{r}}$ is varying with time t as ${\mathrm{krt}}^2$,where k is constant. The power delivered to the particle by the force acting on it is

A body is under uniform circular motion, its kinetic energy.

A block of mass m is moving with speed v towards a spring block system. If the collision is perfectly inelastic, then the maximum compression in the spring will be:

A smooth sphere of mass M, moving with velocity u, directly collides elastically with another sphere of mass m at rest. After the collision, their final velocities are V and v, respectively. The value of v is:

The gravitational field in a region is given by $\overrightarrow{\mathrm{g}} = 4\hat{\mathrm{i}} + 4\hat{\mathrm{j}}$. Work done by this field is zero, when a particle is moved along the line

Five balls are placed one after another along a straight line as shown in the figure. Initially, all the balls are at rest. Then the second ball is projected with speed ${\mathrm{v}}_0$ towards the third ball. Mark the correct statement(s). (Assume all collisions to be head-on and elastic):
     

A body of mass 2 kg moving with a velocity of 3 m/s collides with a body of mass of 1 kg moving with a velocity of 4 m/s in the opposite direction. If the collision is head-on and completely inelastic, then the wrong statement is:

A body is initially at rest. It undergoes a one-dimensional motion with constant acceleration. The power delivered to it at time t is proportional to,

$$\begin{gathered} 1. t^{1/2} \\ 2. t \\ 3. t^{3/2} \\ 4. t^2 \end{gathered}$$

A body is moving unidirectionally under the influence of a source of constant power. Its displacement in time t is proportional to,

$$\begin{gathered} \left(1\right) t^{1/2} \\ \left(2\right) t \\ \left(3\right) t^{3/2} \\ \left(4\right) t^2 \end{gathered}$$