Question

A hypothetical spring type object, exerts a force dependent on diplacement x, given by $4x^3$. What is the average force exterted by it while being displaced 2 units from its natural position?

• A. 2
• B. 4
• C. 8
• D. 16

Answer 1

The correct option is C

8

The average force will be given, $\frac{{\int }_0^{s}F\left(x\right).dx}{{\int }_0^{s}dx}$ = $\frac{{\int }_0^{2}4x^3.dx}{{\int }_0^{d}dx}$