An ideal gas at pressure, volume, and temperature, P0, V0, and T0, respectively, is heated to point A, allowed to expand to point B also at A’s temperature 2T0, and then returned to the original condition. The internal energy decreases by 3P0V0/2 going from point B to point T0. How much heat left or entered the gas from point B to point T0?

As you are trying to move a heavy box of mass m, you realize that it is too heavy for you to lift by yourself. there is no one around to , so you attach an ideal pulley to the box and a massless rope to the ceiling, which you wrap around the pulley. you pull up on the rope to lift the box. use g for the magnitude of the acceleration due to gravity and neglect friction forces. once you have pulled hard enough to start the box moving upward, what is the magnitude f of the upward force you must apply to the rope to start raising the box with constant velocity? express the magnitude of the force in terms of m, the mass of the box.

Aball is thrown horizontally from a cliff at 8m/s .in what direction is the ball moving 2s later?

What practical value did astronomy offer to ancient civilizations?