Higher arithmetic by unknow

Author:unknow
Language: eng
Format: epub
Tags: Arithmetic
Publisher: Boston, London, Ginn & company
Published: 1897-03-25T05:00:00+00:00

4. A train weighing 126 tons rests on an incline and is kept from moving down by a force of 1600 lbs.; the road rises 1 ft. in how many feet of its length ?

5. On a plane rising 3 ft. in every 6 ft. of its length, how many pounds of force exerted parallel to the plane will keep a mass of 10 lbs. from sliding ?

6. What must be the length of an inclined plane in order that a man may roll a 600-lb. cask into a wagon 3.6 ft. high by the exertion of a force of 360 lbs. ?

7. How long is a pendulum which oscillates 66 times a minute ?

8. If a pipe 1.6 cm in diameter fills a reservoir in 3.26 mins., how long will it take a pipe 3 cm in diameter to fill it ?

9. If a projectile 8.1 in. in length weighs 108 lbs., what is the weight of a similar projectile 9.37 in. long ? (Answer to 0.1 lb.)

10. The masses of two solids remaining unchanged, their attraction for each other is inversely proportional to the square of the number representing the distance between their centers of gravity; if at a distance of 2 m they are attracted by a force of 1 mg, what will be their attraction at a distance of 1 km ?

11. A body weighs 16 lbs. 6000 mi. from the earth's center {i,e., about 1000 mi. above the surface); how much will it weigh 4000 mi. from the center ?

12. If a body weighs 1 kg at the level of the sea, how much will it weigh at an elevation of 1 km ? (Take the radius as 6370 km; give the result correct to 0.001 kg.)

13. What is the height of a tower which casts a shadow 143 ft. long at the same time that a post 4.6 ft. high casts a shadow 6.1 ft. long?

14. Of two bottles of similar shape one is twice as high as the other; the smaller holds 0.6 pt., how much does the larger hold ?

16. The amount of light received on a given surface being inversely proportional to the square of the number representing its distance from the source of light, if the amount per sq. in. at a distance of 1 ft. is represented by 1, what will represent the amount at a distance of 0.1 in. ? (Answer to 0.01.)

16. If the interest received on a certain sum for 1.6 yrs. is $27.60, how much is the interest on the same sum at the same rate for 2 mo. ?

17. If the interest received on a certain sum for a certain time is $63 at 6 cts. for every dollar, how much is the interest on that sum for the same time at 4J- cts. for every dollar ?

18. When the barometer stands at 30 in., the pressure of the atmosphere is 14.7 lbs. per sq. in.; what is the pressure when the barometer stands at 28 in.

Download

Copyright Disclaimer:
This site does not store any files on its server. We only index and link to content provided by other sites. Please contact the content providers to delete copyright contents if any and email us, we'll remove relevant links or contents immediately.