(Solved): A block of mass \( 37.4 \mathrm{~kg} \) is sitting on a flat surface, where the coefficient of kine ...

A block of mass \( 37.4 \mathrm{~kg} \) is sitting on a flat surface, where the coefficient of kinetic friction between the surfaces is 0.1. You're going to move the block by pulling horizontally on it with a rope. What rope tension will be necessary to slide the block at constant speed? Note: express your answer as a number of Newtons. (Do not include the unit in your answer.) A full-size car \( (m=1000 \mathrm{~kg}) \) is going to have a race down a hill, against a tiny toy car \( (m=1 \mathrm{~kg}) \). Both will be released from rest at the top of the hill, and allowed to slide down, driven by gravity alone. The two cars are identical except for their size and mass, and both are going to coast down the same racecourse: a ramp of a fixed angle. This time, assume that there is friction between the wheels and the road (rolling friction, specifically), but that the coetficient of friction is the same for the two cars. Neglect air resistance, and effects related to rotation of the whee/s. Who will win the race? The \( 1000-\mathrm{kg} \) full-size car will win. It'll be a tie. The \( 1+\mathrm{kg} \) toy car will win. No way to predict the winner, without knowing the coetficient of friction.