일반물리학 1 — Kinetic Energy and Work: Problem 38

38 A 1.0 kg block is initially at rest on a horizontal frictionless surface when a horizontal force along an x axis is applied to the block. The force is given by \(\vec{F}(x) = (2.5 - x^2)\hat{i}\) N, where \(x\) is in meters and the initial position of the block is \(x = 0\). (a) What is the kinetic energy of the block as it passes through \(x = 2.0\) m? (b) What is the maximum kinetic energy of the block between \(x = 0\) and \(x = 2.0\) m?