The tallest volcano in the solar system is the 19 km tall martian volcano, olympus mons. an astronaut drops a ball off the rim of the crater and that the free fall acceleration of the ball remains constant throughout the ball’s 19 km fall at a value of 3.7 m/s 2 . (we assume that the crater is as deep as the volcano is tall, which is not usually the case in nature.) find the time for the ball to reach the crater floor. answer in units of s

Acylinder with a movable piston contains 11.7 moles of a monatomic ideal gas at a pressure of 1.32×10^5 pa. the gas is initially at a temperature of 300 k. an electric heater adds 43200 j of energy into the gas while the piston moves in such a way that the pressure remains constant. cp=20.79 j k^−1 mol^−1 for a monatomic ideal gas, and that the number of gas molecules is equal to avogadro's number (6.022×10^23) times the number of moles of the gas. (a) what is the temperature of the gas after the energy is added? (b) what is the change in volume of the gas? (c) how much work is done by the gas during this process?