Obtain an expression for K.E. of a positively charged particle.

A tiny stone of mass 20 g is tied to a practically massless, inextensible, flexible string and whirled along vertical circles. Speed of the stone is 8 m/s when the centripetal force is exactly equal to the force due to the tension. Calculate minimum and maximum kinetic energies of the stone during the entire circle. Let theta = 0 be the angular position of the string, when the stone is at the lowermost position. Determine the angular position of the string when the force due to tension is numerically equal to weight of the stone. Use g = 10 m//s^(2) and length of the string = 1.8 m

A tiny stone of mass 20 g is tied to a practically massless, inextensible, flexible string and whirled along vertical circles. Speed of the stone is 8 m//s when the centripetal force is exactly equal to the force due to the tension. Calculate minimum and maximum kinetic energies of the stone during the entire circle. Let theta= 0^0 be the angular position of the string, when the stone is at the lowermost position. Determine the angular position of the string when the force due to tension is numerically equal to weight of the stone. Take g = 10 m//s^2 and Length string = 1.8 m

In the various actions in the picture, has the object changed its original position ?

Write the expression for displacement for a sinusoidal wave travelling in positive x-direction.

Using the energy conservation, derive the expression for the minimum speeds at different locations along a vertical circular motion controlled by gravity. Also prove that the difference between the extreme tensions (or normal forces) depends only upon the weight of the object.

Derive an expression for the maximum kinetic energy gained by the positively charged particle in a cyclotron.

A body of mass m is tied to a string of length l and whirled in a verticle cirlce. The velocity of the body at the lowest position is u. Then the tension in the string at a position when the string makes an angle theta with the vertical is

Graph of position of image vs position of point object from a convex lens is shown. Then, focal length of the lens is

Derive an expression for a one dimensional simple harmonic progressive wave travelling in the direction of the positive X- axis. Express it in different forms.