This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1915 edition. Excerpt: ...energy lost is Mmu2(l-e2) 4. Two spheres, of masses 6 and 9 lb. and moving in the same direction with velocities of 20 and 12 ft. per sec., impinge directly; if the coefficient of restitution be find the loss of kinetic energy per cent, of the original amount. 5. If the mass of a particle which ...
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This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1915 edition. Excerpt: ...energy lost is Mmu2(l-e2) 4. Two spheres, of masses 6 and 9 lb. and moving in the same direction with velocities of 20 and 12 ft. per sec., impinge directly; if the coefficient of restitution be find the loss of kinetic energy per cent, of the original amount. 5. If the mass of a particle which impinges directly upon another be TJ of the mass of the latter, but if it have 100 times its velocity, show that the energy lost is only about 4 per cent, less than the original energy of the smaller particle, the coefficient of restitution being y1. 6. If the momenta of two spheres impinging directly on one another be equal and opposite, show that the kinetic energy will be reduced by the impact in the ratio e2:1. 7. A bullet of mass m lb. is fired with a horizontal velocity of u ft. per sec. into a mass of M lb. at rest suspended by a string, and is embedded in this mass. Find the energy lost at the impact. Ex.--If m = oz., M = 10 lb., = 1800 ft. per sec., find the energy lost in foot-pounds. 8. If two spheres impinge directly, show that if the one which has the greater mass has also the greater velocity, then the kinetic energies of the two spheres are more nearly equal after the impact than they were before. 70. EQUATION OF A STRAIGHT LINE IN THE FORM as=h]rcos 6, y=Jc+r&in9. 1. If (fi, k) be a fixed point on a line inclined at an angle 0 to the axis of x, and (x, y) a point on the line at distance r from the fixed point, show that x = h + r cos Q, y = k + r sin 6. 2. Lines are drawn through a point (h, k) to cut a circle x + y + 2gx + 2fy + c=0; show that the rectangle contained by the segments is constant. 3. Find the locus of the mid-points of a series of parallel chords of a parabola. 4. If a point be taken on a series of...
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