Answer: A block of ice with mass 4.00 kg is initially at

QUESTION:

A block of ice with mass 4.00 kg is initially at rest on a frictionless, horizontal surface. A worker then applies a horizontal force \(\vec{F}\) to it. As a result, the block moves along the x-axis such that its position as a function of time is given by \(x(t)=a t^{2}+\beta t^{3}\), where \(a=0.200 \mathrm{~m} / \mathrm{s}^{2}\) and

(a) \(\beta=0.0200 \mathrm{~m} / \mathrm{s}^{3}\).Calculate the velocity of the object when t=4.00 s.

(b) Calculate the magnitude of \(\vec{F}\) when

(c) Calculate the work done by the force \(\vec{F}\) during the first 4.00 s of the motion.