Averaged Relative Motion of an Extended Body and a Point

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Find the clepth at which it would occupy 2 cu. , if the atmospheric pressure is 30 in. of mercury. Since the density of mercury is 13-6 times that of water, the pressure due to a column of 30 in. of mercury equals the pressure due to a column of water 34 ft. long. Hence P , = ( 13-6+34=. ) 47-6 ft. ,(the quantity to be determined ). in. in; 47-6x3 from Boyle's law, we get, P„ = — - — - = 71-4 ft. of u water. Hence the depth of the bubble below the surface = ( 7 1 - 4 - 3 4 = ) 37-4 ft. 119. A uniform tube 79-8 cm.

Hr has its. /hr. in 1210 ft. The mass of the train is 176 tons. 64. A force equal to the weight of 1 kg. acts on a body (at rest) for 10 sec. and causes it to describe 10 m. in that time. Find the mass of the body. Hint : Find the acceleration from the space travelled and the time. The moving force is given, determine the mass. 65. A constant force of 50 lb, wt. /sec. 2 to a body of mass 4001b. Find the frictionai resistance acting' on the body. The moving force of 50 g=f poundals where / is the force of friction.

If the barometer reads 30-1 in. of mercury, find the absolute pressure inside the chimney. /cu. in. ) 1-36 in- of water are equivalent to 0-1 in. of mercury Hence the required pressure = ( 30-1 - 0 - 1 = ) 30 in. of mercury or ( 30 x 13-6 x 0-03611 x 32 = ) 471-3 plds. " 2 Note :— T h e pressure in a b o i l e r c h i m n e y is a l w a y s l e s s t h a n t h e p r e s s u r e of the a t m o s p h e r e o u t s i d e , 104. The mechanical advantage of the arm of a safety valve is 5 and the valve has got 2 cm- diameter.

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