## University Physics with Modern Physics (14th Edition)

a. The potential energy is mass multiplied by g multiplied by the initial height (if we let height = 0 at ground level). The 10.0-kg mass has 10 times the initial potential energy of the 1.0-kg mass. b. In the absence of air resistance, the acceleration is $9.8\;\frac{m}{s^2}$ for each object, directed downward. c. Objects undergoing identical accelerations over the same displacement will have the same final speed. d. Kinetic energy is $\frac{1}{2}mv^2$. The 10.0-kg mass has 10 times the final kinetic energy of the 1.0-kg mass, just before they hit the ground. This makes sense, because the heavy mass started with 10 times the PE, and mechanical energy is conserved in this problem (because there is no air resistance).