Work Energy and...

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

A force $$F_1$$ on a body of 2 kg produces an acceleration of $$2.5 m/m^2$$ and other force $$F_2$$ acting on another body of mass 5 kg produces an acceleration of $$2 m/s^2$$. The ratio of $$F_2/F_1$$ is

A force $$\vec { F } = 2 x \hat { i } + 3 y ^ { 2 } \hat { j } \mathrm { N }$$ where x and y are in meter, acts upon a particle. Find work done (in J) by this force in displacing the particle from (1 m, 2 m, 5 m) to (2 m, 3 m, 2 m).

The amount of work done in stretching a wire by 10N force can cause an elongation of $$2×{ 10 }^{ -2 }m$$ will be 

Velocity-time graph of a particle of mass 2 kg moving in a straight line is as shown in figure. Work done by all the forces on the particle during the motion is:

A particle is displaced from a position $$(2\hat { i } -\hat { j } +\hat { k } )$$ metre to another position $$(3\hat { i } +2\hat { j } -2\hat { k } )$$ meter under the action of force $$(2\hat { i } +\hat { j } -\hat { k } )$$ N. Work done by the force is:

A balloon with its contents weighing 160 N is moving down with an acceleration of g/2 $${ ms }^{ -2 }$$ the mass to be removed from it so that the balloon moves up with an acceleration of g/3$${ ms }^{ -2 }$$ is 

In the figure, at the free end of the light string, a force $$F$$ is applied to keep the suspended mass of $$18 $$\mathrm { kg }$$ at rest. Assuming

The breaking strength of a string is 55 kg wt. The maximum permissible speed of a stone of mass 5 kg which revolved in a vertical circle of radius 4 m with the help of is the string is g=10 $$ {s}^{2} $$.

A force of $$ \left(4 x^{2}+3 x\right)  $$ N acts on a particle which displaces it from $$  x=2 m  $$ to $$  x=3 \mathrm{m}  $$.
The work done by the force is