Example 1]
Common Exam #1 (Spring 2022)
!
4. (10 pts) A force of 𝐹 = √! !
#$
𝑙𝑏𝑠 is applied to move an object along the x-axis from
𝑥 = 0 𝑡𝑜 𝑥 = 4 𝑓𝑡. Determine the amount of work done.
[Fall 2019 Exam #1]
Q2. (12 points) A spring has a natural length of 1 meter. A force of 10 N stretches the spring to 1.1 meters.
(i.e., 1⁄10 meter beyond its natural length). How much work is done when compressing the spring from 1
meter to 0.5 meters?
[Fall 2021 Exam #1]
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Q3. (13 points) A force of 200 𝑙𝑏 will stretch a spring " 𝑓𝑡. How much work is required to
stretch this spring 1 𝑓𝑡 beyond its natural length?
Ex 4-1] A 5-lb bucket is lifted from the ground into the air by pulling in 20 ft. of rope at a
constant speed. The rope weights 0.08 𝑙𝑏⁄𝑓𝑡. How much work was spent lifting the
bucket and rope?
[Fall 2019 Exam #1]
Q4. (12 points) A 40-ft length of cable hangs from the edge of a tall building. How much work will it take to
pull the rope to the top of the building if it weighs 2 𝑙𝑏/𝑓𝑡?
Ex 4-2] From your Exercises H.W.
Ex 5-1] From your Exercises H.W.
[Spring 2020 Exam #1]
8. (13 pts) A tank is constructed by revolving the curve 𝑦 = 𝑥 for 0 ≤ 𝑥 ≤ 1 about the y-axis. The tank is filled
with fluid weighing 60 𝑙𝑏/𝑓𝑡 % . How much work is done in pumping all the fluid to the rim of the tank?
[Spring 2022 Exam #1]
8. (12 points) A tank is constructed by revolving the curve 𝑦 = 6𝑥 & for 0 ≤ 𝑥 ≤ 1 about the y-axis. The tank is
filled with fluid weighing 20 𝑙𝑏/𝑓𝑡 % . How much work is done in pumping all the fluid to a level 2 ft above the
rim of the tank?
[Spring 2011 Exam #1]
[Fall 2011 Exam #1]