Work

A body constrained to move along the z-axis, under a constant force $\overrightarrow{F}=-\hat{\mathrm{i}}+2\hat{\mathrm{j}}+3\hat{\mathrm{k}} \mathrm{N}$. Work done by this force in moving the body a distance $4 \mathrm{m}$ along the $z$-axis is

F,$2$F forces act on the object in Figures I and II. The work done by the forces along the $3\mathrm{x}$, $2\mathrm{x}$ paths is ${\mathrm{W}}_{1,}{\mathrm{W}}_2$. So what is the  $\frac{{\mathrm{W}}_1}{{\mathrm{W}}_2}$ratio?

A person holds a bucket of weight $80 \mathrm{N}$. He walks $8 \mathrm{m}$along the horizontal and then climbs up a vertical distance of $5 \mathrm{m}$. The work done by the person is?

A block of mass $50 \mathrm{kg}$ just slides over a distance of $1 \mathrm{m}$. If the coefficient of friction between their surfaces is $0.2$, the work done against friction is

A cubical vessel of height $1 \mathrm{m}$ is full of water. What is the amount of work done in pumping water out of the vessel?

[Take $g=10 {\mathrm{ms}}^{-2}$]

A flywheel having moment of inertia $10 \mathrm{kg}·{\mathrm{m}}^2$ is rotating at $50$ rad. ${\mathrm{s}}^{-1}.$ What amount of work needs to be done in order to bring this flywheel to rest in $10$ seconds?

A block of mass $50 \mathrm{kg}$ just slides over a distance of $1 \mathrm{m}$. If the coefficient of friction between their surfaces is $0.2$, the work done against friction is

A cubical vessel of height $1 \mathrm{m}$ is full of water. What is the amount of work done in pumping water out of the vessel?

[Take $g=10 {\mathrm{ms}}^{-2}$]

A spring of natural length $\mathrm{l}$ is compressed vertically downward against the floor so that its compressed length becomes $\frac{\mathrm{l}}{2}$.When released, the spring attains its natural length. If $\mathrm{k}$ is the stiffness constant of spring, then what will be the work done by the spring on the floor ?

A body of mass $m$ is moving with a constant speed $v$ in a circle of radius $r$. Find the work done by the centripetal force in moving the body over half the circumference of the circle.

Calculate the work done by the force whose graph is shown in the diagram below.

A body moves with a distance of $5 \mathrm{m}$ along a straight line under the action of a force of $10 \mathrm{N}$. If the work done is $25 \mathrm{J}$, then what is the angle between the force and the direction of motion of the body?

A particle moves along $X$-axis from $x=0$ to $x=\mathrm{5 }\mathrm{m}$ under the influence of force given by $F=\left(7-2x+3x^2\right) \mathrm{N}$. The work done in the process is

A force $F$ acting on an object varies with distance $x$ as shown here. The force is in $\mathrm{N}$ and $x$ in $\mathrm{m}$. The work done by the force in moving the object from $x=0 \mathrm{to} x=6 \mathrm{m}$ is

An object of mass m is tied to a string of length L and a variable horizontal force is applied on it which starts at zero and gradually increases until the string makes an angle $\mathrm{\theta }$ with the vertical. Work done by the force F is:

If a particle is compelled to move on a given smooth plane carve under the action of given forces in the plane $\overrightarrow{F}=\overrightarrow{x\mathrm{i}}+\overrightarrow{y\mathrm{j}}$ . Then

During swinging of simple pendulum

A body of mass 10kg is moving on a horizontal surface by applying a force of 10 N in forward direction. If body moves with constant velocity. Find the work done by applied force for a displacement of 2m? Find the work done by force of friction

A body of mass $10 \mathrm{kg}$ is moving on a horizontal surface by applying a force of $10 \mathrm{N}$ in forward direction. If body moves with constant velocity. Find the work done by applied force for a displacement of $2 \mathrm{m}$?

A body of mass $2 \mathrm{kg}$ is projected with an initial velocity of $5\mathrm{ }\mathrm{m} {\mathrm{s}}^{-1}$ along a rough horizontal table. The work done on the body by the frictional forces before it is brought to rest is