5. Applications of Integrals
Work And Energy — Quiz
Test your understanding of work and energy with 5 practice questions.
Practice Questions
Question 1
A variable force $F(x) = 6x$ N acts on an object from $x=0$ to $x=4$ m. What is the work done by this force?
Question 2
How much work is done in lifting a $10$ kg object vertically by $3$ meters? (Assume $g = 9.8 \, \text{m/s}^2$)
Question 3
A force of $F(x) = 5x^2$ N acts on an object from $x=1$ m to $x=2$ m. What is the total work done?
Question 4
In a pumping problem, if the height of water in a tank is $5$ m and the density of water is $1000 \, \text{kg/m}^3$, how much work is done to pump all the water out?
Question 5
A spring requires $30$ N of force to stretch it $0.2$ m from its natural length. What is the spring constant $k$?