Work Energy and...

Kinetic energy of a body depends upon its:

A force of $$10 N$$ is applied on a object of mass $$1 kg$$ for $$2 s$$, which was initially at rest. What is the work done on the object by the force?

A $$500 g$$ particle tied to one end of a string is whirled in a vertical circle of circumference $$14 m$$.If the tension at the highest point of its path is $$2 N$$, what is its speed? (in m/s)

A force $$F_{x}$$ acts on a particle such that its position $$x$$ changes as shown in figure.
The work done by the particle as it moves from $$x = 0$$ to $$20\ m$$ is

A particle moves along X-axis from $$x = 10$$ to $$x = 5\ cm$$ under the influence of force given by $$F = (7 - 2x + 3x^{2}) N$$. The work done in the process is

A stone of mass m is tied to a string and is moved in a vertical circle of radius r making n revolution per minute. The total tension in the string when the stone is at its lowest point is

A particle is moving in a vertical circle. The tension in the string when passing through two platform at angles $$\displaystyle 30^o$$ and $$\displaystyle 60^o$$ vertical (lowest position) are $$T_1$$ and $$T_2$$ respectively

A weightless thread can bear tension up to $$3.7$$kg wt. A stone of mass $$500$$g is tied to it and revolved in a circular path of radius $$4$$m in a vertical plane. If $$g=10m/s^2$$, then the maximum angular velocity of the stone will be :

Two wires are stretched through same distance. The force constant of second wire is half as that of the first wire. The ratio of work done to stretch first wire and second wire will be

A body of mass m is moving in a circle of radius r with a constant speed $$v$$. If a force $$\dfrac{mv^2}{r}$$ is acting on the body towards the centre, then what will be the work done by this force in moving the body over half the circumference of the circle?