In Fig12.26 depicts a racing track whose left and right ends are semicircular.The distance between the two inner parallel line segments is 60 and they are each 106 m long.If the track is 10 m wide,find:(i)the distance around the track along its inner edge

Mohan wants to buy a trapezium shaped field. Its side along the river is parallel to and twice the side along the road. If the area of this field is 10500m^2 and the perpendicular distance between the two parallel sides is 100m, find the length of the side along the river.

Two poles of equal heights are standing opposite each other on either side of the road,which is 80m wide.From a point between them on the road,the angles of elevation of the top of the poles are 60^@ and 30^@ respectively.Find the height of the poles and the distances of the point from the poles.

Find the force between two straight parallel wires, each of length one metre and cach carrying a current of 100 amperes when separated by a distance of one metre (given mu_0 = 4pi x 10^-7 N/m) .

Two inclined frictioniess tracks, one gradual and the other steep meet at A from where two stones are allowed to slide down from rest, one on each track (Fig. 6.16). Will the stones reach the bottom at the sam time? Will they reach there with the same speed? Explain. Given 0?t = 30°, 0_2 = 60°, and h = 10 m, what are the speeds and times taken by the two stones?

Two straight wires A and B of lengths 10 m cach carrying currents of 4.0 A and 6.0 A in opposite directions lic parallel to each other at a distance of 2 cm. Estimate the force on a 10 cm section of the wire B near its centre.

A non-uniform bar of weight W is suspended at rest by two strings of negligible weight as shown in Fig.7.39. The angles made by the strings with the vertical are 36.9^@ and 53.1^@ respectively. The bar is 2 m long. Calculate the distance d of the centre of gravity of the bar from its left end.

Two trains A and B of length 400 m each are moving on two parallel tracks with a uniform speed of 72 km h^-1 in the same direction, with A ahead of B. The driver of B decides to overtake A and accelerates by 1 m//s^-2 . If after 50 s, the guard of B just brushes past the driver of A, what was the original distance between them?