By V. L. Zubov and V. P. Shal'nov (Auth.)
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Additional info for Worked Examples in Physics. A Textbook for Private Study
Sample text
If so, it is necessary to apply the law of conservation of momentum and the law of conservation of energy in calculating the velocities. One must carefully study all the methods of applying these laws simultaneously. The examples in this section employ the concept of perfectly elastic, as well as inelastic, collisions, usually known to the student only from interests outside the classroom. In solving these problems, one should follow with particular care the behaviour of the interacting bodies in both cases.
By what distance will the level of the mercury in the vessel on the right rise if h is equal to 70 cm? How far will the level of mercury in the vessel on the left drop? By what height will the level of the mercury column in the narrow vessel rise if a column of water of the same height is poured in the wide one? 2 x 2 0 0 Worked Examples in Physics 56 199. A U-tube in which the cross-sectional area of the limb on the left is one-third that of the limb on the right contains mercury. The level of the mercury in the narrow limb extends to a distance of 30 cm from the upper end of the tube.
139. What is the smallest radius of a circle around which a cyclist can travel at a speed of 28-8 km/hr if the coefficient of friction between the tyres and the ground is 0-3? What is the greatest angle of inclination of the bicycle at which the cyclist can ride without falling off? 40 Worked Examples in Physics 140. What is the maximum velocity at which a wagon can travel safely without toppling over on a curve of radius 200 m if the height of the centre of gravity of the wagon above the level of the rails is 1-5 m and the width of the track (distance between rails) is 1-5, the track being horizontal?