2. (10 points) Consider the following gure. A ball of mass m1 is released with a velocity v from a height h. As the ball rolls down and hits the mass m2, together they compress the spring. Derive the expression for maximum compression of the spring in terms of the given parameters m1, v, h, and k. F rz'ctionless 3. (10 points) A stone of mass 480 grams is thrown with a speed of 8.8 m/s at an upward angle of 36. Using the conservation of energy principle, obtain (a) speed at its highest point, and (b) how high does it go? 4. (5 points) A person is pushing a 46-kg box with constant velocity on a rough oor over a distance of 10.3 m. If the coefcient of friction between the box and oor is 0.50, how much is the work done by the person. 5. (5 points) If the spring constant k of a spring is 88.0 N/m, how much this spring must be compressed from the uncompressed (or equilibrium) position in order to store 45.0 J of potential energy