π 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.
π Last updated: 2026-07-16
Q1. A variable force is given by \(F(x)=3x\)β―N on the interval \([0,4]\)β―m. What is the work?
π‘ Difficulty: easy | β 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?
π‘ Difficulty: medium | β 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?
π‘ Difficulty: hard | β Correct: A
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