Work Energy and...

The graph below represents the relation between displacement $$x$$ and force $$F$$. The work done in displacing an object from $$x=8\ m$$ to $$x=16\ m$$  is approximately.

What is the amount of work done in raising a glass of water weighing $$0.5 kg $$ through a height of $$50 cm ? (g = 10 m/s ^2 $$ )

A mass $$m$$ is revolving in a vertical circle at the end of a string of length $$20\ cm$$. By how much times does the tension of the string at the lowest point exceed the tension at the topmost point-

Two steel spheres approach each other head on with the same speed and collide elastically. After the collision one of the sphere's of radius r comes to rest, the radius of the other sphere is

An object of mass $$M_1$$ moving horizontally with speed u collides elastically with another object of mass $$M_2$$ at rest. Select correct statement.

As shown in the given figure the ball is given sufficient velocity at the lowest point to complete the circle. Length of string is $$1m$$. Find the tension in the string, when it is at $$60^{\circ}$$ with vertical position.
(Mass of ball $$= 5\ kg$$).

A ball of radius r moving with a speed v collides elastically with another identical stationary ball. The impact parameter for the collision is b as shown in figure.

A stone of mass $$1kg$$ is tied to one end of a string of length $$0.5\ m$$. It is whirled in a veretical circular. If the maximum tension in the string is $$58.8N$$, the velocity at the top is

If increase in linear momentum of a body is 50%, then change in its kinetic energy is

In the figure shown initially spring is in uninstructed state & blocks are at rest. Now $$100N$$ force is appiled on block $$A$$ and $$B$$ as shown in figure. After some time velocity of $$'A'$$ becomes $$2m/s$$ and that of $$'B'\ 4m/s$$ and block $$A$$ displaced by amount $$10\ cm$$ and spring is streched by amount $$30\ cm$$. then find the work done by sprig force on $$A$$.