Calendar: 1872-1873 Page 547

548 APPLIED SCIENCES just rest on rough plane when the height is to the length as to 20 lind tlie force which must be applied support it when dismissed so that the height of the plane is to the length in the ratio of to 18 What is Work and bow is it measured Find the horse- power of an engine required to draw train of 80 tons at 36 miles an hour up an incline of in 300 What is the additional horse-power required to overcome frictional resistance of lbs ton Find geometrically or otherwise the distance the train would go up such an incline if left to itself Show that ν2 V2 when force Ρ brings mass Μ from velocity Vto velocity ν in passing over space In what measure is Ρ here expressed Describe some method of determining experimentally the acceleration due to the force of gravity at any point of the earth's surface 10 weight of 10 lb is attached to string 31 36 feet long and revolves about vertical axis in l'l seconds find the radius of the circle described by the weight and the tension of the string 11 What are the true principles from which the motions of elastic bodies after impact are deduced ball whose coefficient of elasticity is and weight lb im- pinges directly on smooth fixed plane find the work lost by the impact its velocity before impact being 20 feet per second SECOND AND THIRD YEARS Clcrtnritj anil iHagiuttSrn What is the nature of the action of the earth's magnetic force on freely suspended magnetic needle Describe method of measuring its intensity Describe the characteristic phenomena of magnetic in- duction showing in what respects they agree with or differ from the phenomena of electrical induction Describe Coulomb's method of investigating the laws of