High School Algebra; Elementary Course

High School Algebra; Elementary Course

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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. 1907 edition. Excerpt: ...is 350 pounds? What is the weight of a body whose momentum is 500 and whose velocity is 25 feet per second? A bullet weighing J of a pound, moving 2250 feet per second, has a momentum equal to that of a stone weighing 50 pounds, which is hurled at the rate of 9 feet per second, since J 2250 = 50-9. By careful experiment it has been found that when a moving body strikes a body at rest but free to move, the two will move on with a combined momentum equal to the momentum of the first body before the impact. Thus, if a freight car, weighing 25 tons and moving at the rate of 12 miles per hour, strikes a standing car weighing 15 tons, the two will move on with the original momentum of 12 25. But as the combined weight is now 25 + 15, the rate of motion has been decreased to 7 miles per hour, since 12 25 = 7j (25 + 15). In this case the automatic coupler connects the cars and they move on together. Even if the two bodies after impact do not cling together, as two croquet balls, still the momentum of the one plus that of the other equals the original momentum. E.g. if a croquet ball weighing 8 ounces and moving 20 feet per second, strikes another weighing 7 ounces and starts it off at the rate of 18 feet per second, then if the diminished velocity of the first ball is called v, we have 8 20 = 7 18 + 8 v, and solving, v = 4.25. This indicates that the first ball is nearly stopped, which coincides with common observation. 1. In a switch yard a car weighing 40 tons and moving 8 miles per hour strikes a standing car weighing 24 tons. What is the velocity of the two after impact? 2. A billiard ball weighing 6 ounces and moving 16 feet per second strikes another ball which it sends off at the rate of 10 feet per second. The rate of the first ball is...show more

Product details

  • Paperback | 62 pages
  • 189 x 246 x 3mm | 127g
  • Rarebooksclub.com
  • United States
  • English
  • black & white illustrations
  • 1236864204
  • 9781236864208