In our Physics lab, a cart is attached to a failing fan which does not run at a constant speed. The cart and fan start from rest at x = 0 and have a mass of 1.2 kg. The fan exerts a force of Fx = 6 + 4x - 3x2, where Fx is in newtons and x is in meters. 1)
(a) Find the work done by the force as the particle moves from x = 0 to x = 1.5 m. 2)
(b) Find the power delivered to the particle when it is at x = 1.5 m.