A force F = bx³ acts in the x direction, where the value of b is 3.7 N/m³. How much work is done by this force in moving an object from x = 0.00 m to x = 2.6 m? A) 42 J B) 13 J C) 50 J D) 57 J

Question

Quizplus · Accepted Answer

To find the work done by the force, integrate the force function with respect to x from 0 to 2.6 m: W = ∫(0 to 2.6) 3.7x^3 dx = (3.7/4)x^4 | from 0 to 2.6 = (3.7/4)(2.6)^4 = 42 J.

A Force F = Bx3 Acts in the X Direction

A Force F = Bx³ Acts in the X Direction