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πŸ“ Calculating Work

πŸ“– From Calculus β€’ 7. Applications of the Definite Integral In Geometry, Science, and Engineering β€’ 23 questions available

Practice MCQs for Calculating Work. Test your knowledge with carefully crafted questions across easy, medium, and hard difficulty levels.

πŸ”„ Last updated: 2026-07-16

7
Easy Questions
10
Medium Questions
6
Hard Questions

πŸ“ Sample Questions

Q1. A variable force is given by \(F(x)=3x\)β€―N on the interval \([0,4]\)β€―m. What is the work?

πŸ”Ή A. 12β€―J
πŸ”Ή B. 24β€―J
πŸ”Ή C. 36β€―J
πŸ”Ή D. 48β€―J

πŸ’‘ Difficulty: easy | βœ… Correct: B

Q2. A rope of length 10β€―m has linear mass density \(0.5\text{β€―kg/m}\). If you lift the rope from the bottom, what work is required?

πŸ”Ή A. 245β€―J
πŸ”Ή B. 196β€―J
πŸ”Ή C. 294β€―J
πŸ”Ή D. 150β€―J

πŸ’‘ Difficulty: medium | βœ… Correct: A

Q3. Water (\(\rho=1000\text{β€―kg/m}^{3}\)) fills a hemispherical tank of radius 4β€―m. Pumping the water to the top requires approximately how much work?

πŸ”Ή A. 3.3β€―Γ—β€―10⁢ J
πŸ”Ή B. 1.6β€―Γ—β€―10⁢ J
πŸ”Ή C. 6.6β€―Γ—β€―10⁢ J
πŸ”Ή D. 9.8β€―Γ—β€―10⁡ J

πŸ’‘ Difficulty: hard | βœ… Correct: A

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πŸ”— Related Topics

πŸ“ Approximating RootsπŸ“ Areas and LimitsπŸ“ Continuity in ApplicationsπŸ“ Continuity of CompositionsπŸ“ Continuity of Inverse Functions
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