Amonatomic, ideal gas is in a sealed container (the number of gas molecules is always constant: n = 2 moles); the initial pressure is pi = 1.01 × 105 pa and the initial volume is vi = 0.0224 m3. first, the volume of the gas is decreased at a constant pressure (at pi = 1.01 × 105 pa) to a final volume of vf = 0.0155 m3. second, the pressure of the gas is increased at a constant volume (at vf = 0.0155 m3) to a final pressure of pf = 1.35 × 105 pa. how much heat was added to (give as a positive number) or removed from (give as a negative number) the system? (the gas constant r = 8.31 j/mole-k.) q =

Astring that is fixed at both ends has a length of 1.05 m. when the string vibrates at a frequency of 91.0 hz, a standing wave with five loops is formed. (a) what is the wavelength of the waves that travel on the string? (b) what is the speed of the waves? (c) what is the fundamental frequency of the string?

Aball horizontally thrown from a cliff at 8m/s

Aball is thrown from the top of a building with an initial velocity of 21.9 m/s straight upward, at an initial height of 51.6 m above the ground. the ball just misses the edge of the roof on its way down, as shown in the figure. (a) determine the time needed for the ball to reach its maximum height. (b) determine the maximum height. (c) determine the time needed for the ball to return to the height from which it was thrown, and the velocity of the ball at that instant. (d) determine the time needed for the ball to reach the ground. (e) determine the velocity and position of the ball at t = 5.35 s.