Work

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

Johnny and his sister Jane race up a hill. Johnny weighs twice as much as Jane and takes twice the time as long as Jane to reach the top. Compared to Jane:

Mark True or False and choose the appropriate option. 1. A porter while picking the load from the ground to keep it on its head does the negative work against gravity. 2. A waiter while carrying dishes without lowering or raising the hand from the kitchen to the table position does not do any work against gravity. 3. While Switching the Sofa chair from one floor to another floor and then bringing it back to the same floor work done against gravity is zero. 4. An old man carries a bag to the first floor in 5 minutes whereas a young man carries the same bag to the same first floor in 15 sec. The old man does more work. 

The friction force of F between X and Y and 2F between Y and Z acts on the object moving on a straight road with the effect of 5T force.

The object on the horizontal ground, where friction is neglected, travels 20 m under the influence of Fi and F, forces.

Which of the following statements are correct?

I. The work done by the $F_1$ is 500 joules.

II. The work done by $F_2$ is -300 joules.

III. Net work is 800 joules. 

The friction insignificant body in the horizontal plane is always pushed up to M by the force F parallel to the ground. 

Which of the following statements are correct?

1. The work done by Force between KL is greater than that between LM.

II. The force of gravity also does the job between the LM

III. The object accelerates between KL. 

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?

No work is said to have been done when an object moves at an angle of the direction of the force. with  ?

The work done by a centripetal force

A wire fixed at the upper end stretches by length $∆l$ by applying a force $F$. The work done in stretching is 

A man pulls a bucket out of a well by means of a rope. The work done by the man is

A $200 \mathrm{kg}$ cart is pushed slowly up the incline. The work done by the pushing force in order to move the cart up along the incline on to the platform $1.5 m$ above the ground is (neglecting friction, $\mathrm{g}=9.8 \mathrm{m}/{\mathrm{s}}^2$)

The force acting on the block is $10\sqrt{2} \mathrm{N}$ with an angle $135°.$ Calculate the work done when the displacement is $\mathrm{\Delta x}=5 \mathrm{m}$

A force $\overrightarrow{F}=\left(3x^2\mathrm{N}\right)\hat{\mathrm{i}}+\left(4 \mathrm{N}\right)\hat{\mathrm{j}}$, (where $x$ is in meters), acts on a particle. Assuming that only kinetic energy is changed the net work done on the particle as it moves from position $\left(2\hat{\mathrm{i}}+3\hat{\mathrm{j}}\right) \mathrm{m}$ to $\left(3\hat{\mathrm{i}}+1\hat{\mathrm{j}}\right) \mathrm{m}$