3. Work and Energy

Work Integral — Quiz

Test your understanding of work integral with 5 practice questions.

Practice Questions

Question 1

A particle moves from $ (0,0) $ to $ (1,1) \text{ m} $ along the path $ y = x^2 $ under the influence of a force $ \vec{F} = (2xy \hat{i} + x^2 \hat{j}) \text{ N} $. What is the work done by this force?

Question 2

A force $ \vec{F} = (y \hat{i} - x \hat{j}) \text{ N} $ acts on a particle. Calculate the work done by this force as the particle moves along a circular path of radius $ 1 \text{ m} $ from $ (1,0) $ to $ (0,1) $ in the first quadrant.

Question 3

A force $ \vec{F} = (x \hat{i} + y \hat{j} + z \hat{k}) \text{ N} $ acts on a particle. Calculate the work done by this force as the particle moves from $ (0,0,0) $ to $ (1,1,1) \text{ m} $ along a straight line path.

Question 4

A force $ \vec{F} = (x^2 \hat{i} + xy \hat{j}) \text{ N} $ acts on a particle. Calculate the work done by this force as the particle moves from $ (0,0) $ to $ (2,0) \text{ m} $ along the x-axis.

Question 5

A force $ \vec{F} = (y^2 \hat{i} + 2x \hat{j}) \text{ N} $ acts on a particle. Calculate the work done by this force as the particle moves from $ (0,0) $ to $ (1,0) \text{ m} $ along the x-axis and then from $ (1,0) $ to $ (1,1) \text{ m} $ along a line parallel to the y-axis.