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

The work done by a variable force is given by the integral of the force over the distance. Here, W = ∫(from 0 to 2.6) bx^3 dx = [b/4 * x^4] from 0 to 2.6. Substituting b = 3.7 N/m^3, we get W = (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