An ideal gas is enclosed in a cylinder that has a movable piston on top. the piston has a mass m and an area a and is free to slide up and down, keeping the pressure of the gas constant. how much work is done on the gas as the temperature of n mol of the gas is raised from t1 to t2? (use any variable or symbol stated above along with the following as necessary: r.)

Ablue car pulls away from a red stop-light just after it has turned green with a constant acceleration of 0.5 m/s 2 . a green car arrives at the position of the stop-light 6.5 s after the light had turned green. if t = 0 when the light turns green, at what time does the green car catch the blue car if the green car maintains the slowest constant speed necessary to catch up to the blue car? answer in units of s.

Aball is rolled uphill a distance of 5 m before it slows, stops, and begins to roll back. the ball rolls downhill 9 m before coming to rest against a tree. what is the magnitude of the balls displacement? a. 4 meters b. 9 meters c. 14 meters d. 45 meters

A50 kg student climbs 3 m to the top of a set of stairs. calculate the change in the student’s gravitational potential energy from the bottom to the top of the stairs. show your calculations and include units in your answer. how much total work does the student do while climbing the stairs? show your calculations or explain your reasoning. include units in your answer. it takes the student 30 s to climb to the top of the stairs. what is the average power generated by the student climbing the stairs? show your calculations and include units in your answer. the next day the student carries a 10 kg backpack up the same stairs and again takes 30 s to reach the top of the stairs. is the average power you calculated in part (c) greater than, less than, or equal to the average power the student generated the next day? explain your answer.