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 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

A force $\overrightarrow{F}=\left(6\widehat{\mathrm{i}}-8\widehat{\mathrm{j}}\right) \mathrm{N}$, acts on a particle and displaces it over $4 \mathrm{m}$ along the $X-$axis and then displaces it over $6 \mathrm{m}$ along the $Y-$axis. The total work done during the two displacements is

A bicycle chain of length $1.6 \mathrm{m}$ and of mass $1 \mathrm{kg}$ is lying on a horizontal floor. If $\mathrm{g}=10\mathrm{ }\mathrm{m}{\mathrm{s}}^{-2}$ , the work done in lifting it with one end touching the floor and the other end $1.6 \mathrm{m}$ above the floor is

________ formulated a law for the heating effect of electric current.