← Back to 7. Applications of the Definite Integral In Geometry, Science, and Engineering

📝 The Work Energy Relationship

📖 From Calculus • 7. Applications of the Definite Integral In Geometry, Science, and Engineering • 23 questions available

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

🔄 Last updated: 2026-07-16

Easy Questions

Medium Questions

Hard Questions

📝 Sample Questions

Q1. What does the work‑energy theorem state about the net work done on a particle?

🔹 A. It equals the change in its momentum.

🔹 B. It equals the change in its kinetic energy.

🔹 C. It equals the change in its potential energy.

🔹 D. It equals the change in its mass.

💡 Difficulty: easy | ✅ Correct: B

Q2. A variable force \(F(x)=3x^{2}\) N acts along the x‑axis from \(x=0\) m to \(x=2\) m. What is the total work done?

🔹 A. \(12\text{ J}\)

🔹 B. \(24\text{ J}\)

🔹 C. \(8\text{ J}\)

🔹 D. \(16\text{ J}\)

💡 Difficulty: medium | ✅ Correct: B

Q3. Derive the expression for work done by a force \(F(x)=k x^n\) moving an object from \(x=a\) to \(x=b\).

🔹 A. \(W = \frac{k}{n+1}(b^{n+1}-a^{n+1})\)

🔹 B. \(W = k(b^n - a^n)\)

🔹 C. \(W = \frac{k}{n}(b^{n} - a^{n})\)

🔹 D. \(W = k\ln\frac{b}{a}\)

💡 Difficulty: hard | ✅ Correct: A

⬆️ View all questions in the quiz below

🔗 Related Topics

📝 Approximating Roots 📝 Areas and Limits 📝 Continuity in Applications 📝 Continuity of Compositions 📝 Continuity of Inverse Functions

🚀 Start Quiz 📝 Practice Mode