Q1. A rock is projected from the edge of the top of a building with an initial velocity of 14 m/s at an angle of 36 above the horizontal. The rock strikes the ground a horizontal distance of 44 m from the base of the building. Assume that the ground is level and that the side of the building is vertical. How long did the rock take to hit the ground? Give your answer in seconds to two decimal places. Hint: Look at the horizontal components of the motion.
Q2. A hollow aluminium cylinder 16.0 cm deep has an internal capacity of 2.000 L at 17.0°C. It is completely filled with turpentine at 17.0°C. The turpentine and the aluminum cylinder are then slowly warmed together to 67.0°C. (The average linear expansion coefficient for aluminum is 2.4 10-5°C-1, and the average volume expansion coefficient for turpentine is 9.0 10-4°C-1.)
(a) How much turpentine overflows?
(b) What is the volume of turpentine remaining in cylinder at 69.0°C?
(c) If the combination with this amount of turpentine is then cooled back to 19.0°C, how distant below the cylinder's rim does the turpentine's surface recede?