Please answer all five questions and don't reject if you don't wanna answer them. Thank you so much! 1. A spring has a natural length of 20 cm. If a 25-dyne force is required to keep it stretched to a length of 25cm, how much work is required to stretch it from 25 cm to 30 cm?2. A spring has a natural length of 15 ft. A force of 300 lb compresses the spring to 12 ft. Find the work donein compressing the spring from 13 ft to 10 ft.3. A cone-shaped water reservoir is 10 feet in diameter across the top and 12 feet deep. If the reservoir isfilled to a depth of 10 feet, how much work is required to pump all the water to the top of the reservoir?Use p = 62.4 lb/ft³.4. Find the force on one end of a parabolic trough full of water if the depth is 2 feet and the width across thetop is 2 ft. Use p = 62.4 lb/ft³.5. Evaluate the iterated integrals.3² S (x + y)dx dya.102yzb. ſ² ſ² ſ² xyz dx dy dz0

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Answered: A spring has a natural length of 20 cm.…

A spring has a natural length of 20 cm. If a 25-dyne force is required to keep it stretched to a length of 25 cm, how much work is required to stretch it from 25 cm to 30 cm?

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.4: Polyhedrons And Spheres

Problem 23E: The surface of a soccer ball is composed of 12 regular pentagons and 20 regular hexagons. With each...

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Question

Please answer all five questions and don't reject if you don't wanna answer them. Thank you so much!

1. A spring has a natural length of 20 cm. If a 25-dyne force is required to keep it stretched to a length of 25
cm, how much work is required to stretch it from 25 cm to 30 cm?
2. A spring has a natural length of 15 ft. A force of 300 lb compresses the spring to 12 ft. Find the work done
in compressing the spring from 13 ft to 10 ft.
3. A cone-shaped water reservoir is 10 feet in diameter across the top and 12 feet deep. If the reservoir is
filled to a depth of 10 feet, how much work is required to pump all the water to the top of the reservoir?
Use p = 62.4 lb/ft³.
4. Find the force on one end of a parabolic trough full of water if the depth is 2 feet and the width across the
top is 2 ft. Use p = 62.4 lb/ft³.
5. Evaluate the iterated integrals.
3
² S (x + y)dx dy
a.
1
0
2
yz
b. ſ² ſ² ſ² xyz dx dy dz
0

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