The magnitude of a certain one-dimensional force varies according to:
F = 2.01x - 0.467x^3
where x is the displacement from the origin in meters, and F is the magnitude of the force in Newtons. At t = 0, a mass m = 734 g is at the origin moving in the positive x-direction at speed v = 9.17 m/s when this force begins to act on it.
ASSUME: there are no other forces acting on the mass.
a) Find the work done by the force on the mass when it reaches x = 1.98 m?
J
b) Find v, the speed of the mass when it reaches x = 1.98 m?
m/s