Work Done

 A bead of mass$2 \mathrm{kg}$ starts from rest from $A$to move in a vertical plane along a smooth fixed quarter ring of radius$5 \mathrm{m}$, under the action of a constant horizontal force$F=5 \mathrm{N}$ as shown. The speed of bead as it reaches point$B$ is

An object of mass m moves on a circular track of radius R with constant speed U. The work done by centripetal force after it completes one circle is 

A sponge is placed in contact with ground and wall. Force of magnitude $10 \mathrm{N}$ is applied at P which causes the displacement of P by$2.5 \mathrm{cm}$ then,

(a) Work done on sponge is $25\mathrm{x}{10}^{-2} \mathrm{J}$ (b) Work done by F is stored in P.E. of sponge. (c) Work done by is stored in P.E. and K.E. of sponge

A force acting on a particle of mass$1\mathrm{kg}$ such that position of particle (x) is varying with time (t) as $\mathrm{x}=2{\mathrm{t}}^2-1$ where x is in m and t is in s. Work done by the force during $0 \mathrm{to} 2 \mathrm{s}$ is 

A particle is moving uniformly on a horizontal circular path. Work done by centripetal force on the particle in one half revolution is 
 

A person of mass $m$ is standing on one end of a plank of mass $M$ and length $L$ and floating in water. The person moves from one end to another and stops. Work done by normal force is

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

A rope of length $15 \mathrm{m}$ is suspended from a tree. A man of mass $50 \mathrm{kg}$ climbs along the rope in vertical direction with a constant acceleration $\frac{g}{3}$. Find the work done by the rope on the $\left(g=10 \mathrm{m} {\mathrm{s}}^{-2}\right)$

What is the work done by a force of $1 \mathrm{gf}$ in displacing a body of $5g$ through $1 \mathrm{cm}$?

Two cylindrical vessels of radius $100 \mathrm{cm}$ are filled with water up to heights $H$ and $2\mathrm{H}$ respectively. If the vessels are connected by a narrow tube through two holes made at their bottom, find the work done by gravity in equalizing the levels.

A force of $10 \mathrm{N}$ acts on a body towards the east. The work done by the force while the body moves through $1 \mathrm{m}$ in the east-north direction (midway between east and north) is

A body of mass $m=1 \mathrm{kg}$ is sliding down an inclined plane. Find work done by gravity on it if the height of the plane is $5 \mathrm{m}$. $\left(g=10 \mathrm{m} {\mathrm{s}}^{-2}\right)$

The position-time graph of a particle of mass $2\mathrm{kg}$ is shown in the figure. Total work done on the particle from $t=0$ to $t=4s$ is:

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A uniform force of $\left(2\hat{i}+\hat{j}\right)\mathrm{N}$ acts on a particle of mass $1\mathrm{kg}$. The particle displaces from position $\left(3\hat{j}+\hat{k}\right)\mathrm{m}$ to $\left(5\hat{i}+3\hat{j}\right)\mathrm{m}$. The work done by the force on the particle is

Find the work done by the gravity on the man of mass $60 \mathrm{kg}$ while going up the escalator of height $4 \mathrm{m}$.(Take $g=10 \mathrm{m} {\mathrm{s}}^{-2}$)

A block of mass $2 \mathrm{kg}$ is attached to one end of a massless rod of length $\frac{1}{\mathrm{\pi }}\mathrm{m}$. The rod is fixed to a horizontal plane at the other end such that the block and rod are free to revolve on a horizontal plane. The coefficient of friction between the block and surface is $0.1$. Block is made to rotate with uniform angular speed by applying a constant external force in tangential direction on the block. The work done by external force till the rod rotates by $90°$ is

Work done by a force $\overrightarrow{F}=\left(2\widehat{\mathrm{i}}+2\widehat{\mathrm{k}}\right) \mathrm{N}$ to displace a body through a displacement $\overrightarrow{s}=\left(2\widehat{\mathrm{j}}+2\widehat{\mathrm{k}}\right) \mathrm{m}$ is

Work done by gravitational force, if a man lifts a bucket out of the well by rope tied to the bucket is