1.A neutron star has a mass of 2.0 10³⁰ kg (about the mass of our sun) and a radius of 5.0 10³ m (about the height of a good-sized mountain). Suppose an object falls from rest near the surface of such a star. How fast would this object be moving after it had fallen a distance of 0.016 m? (Assume that the gravitational force is constant over the distance of the fall and that the star is not rotating.

2.A45.4-kg crate rests on a level floor at a shipping dock. The coefficients of static and kinetic friction are0.707and0.267, respectively. What horizontal pushing force is required to (a) just start the crate moving and (b) slide the crate across the dock at a constant speed