Q1. A child applies the force vec F parallel to the x-axis to a 10.0 rm kg sled moving on the frozen surface of a small pond. As child controls the speed of the sled, the x-component of the force she applies varies with the x-coordinate of sled. Assume the sled is initially at rest at x=0. You can ignore friction between the sled and surface of the pond. Use the work-energy theorem to find the speed of the sled at 3.00 m.

Q2. A bicycle has wheels with a diameter of 0.60 m. It accelerates uniformly and the rate of rotation of its wheels increases from 165 rpm to 265 rpm in a time of 19.30 s. Find the linear acceleration of the bicycle.