Two men stand facing each other on two boats floating on still water at a distance apart. A rope is held at its ends by both. The two boats are found to meet always at the same point, whether each man pulls separately or both pull together, why ? Will the time taken be different in the two cases ? Neglect friction.

Two boats are traveling towards each other in a stream. They both can travel at 30 kmph in still water. If they are 300 km apart how long will it take them to cross each other if the speed of the stream is 5 kmph?

Two persons start running towards each other from two points that arc 120m apart. First person ruins with a speed of 5ms^(-1) and the other wi9th a speed of 7ms^(-1) . Both the persons meet after

Two canoes are 10 m apart on a lake. Each bobs up and down with a period of 4.0 s. when one canoe is at its highest point, the other canoe is at its lowest point. Both canoes are always within a single cycle of the waves determine the speed of the wave.

(i) If two similar large plates, each of area A having surface charge densities +sigma and -sigma are separated by a distance d in air,find the expression for (a) field at points between the two plates and on outer side of the plates. Specify the direction of the field in each case. (b) the potential difference between the plates. (c) the capacitance of the capacitor so formed. (ii) Two metallic spheres of radii R and 2R are charged so that both of these have same surface charge density sigma . If they are connected to each other with a conducting wire, in which direction will the charge flow and why ?

Two men of same mass m hold the two ends of a rope and start pulling each other on a friction less plane. Find the position where they will meet. Is there any difference, if masses of men are not equal.

A boat covers certain distance between two spots on a river taking 4 hours going downstream and 6 hours going upstream. What time will be taken by the boat to cover same direction in still water?