Imagine an alternate universe where the value of the Planck constant is . In that universe, which of the following objects would require quantum mechanics to describe, that is, would show both particle and wave properties? Which objects would act like everyday objects, and be adequately described by classical mechanics?1. A bacterium with a mass of 8.0 pg, 6.0 μm long, moving at 9.00 μm/s. a. quantum b. classical 2. A human with a mass of 39. kg, 1.5 m high, moving at 2.7 m/s. a. quantum b. classical 3. A buckyball with a mass of 1.2 x 10-21 g, 0.7 nm wide moving at 22 m/s. a. quantum b. classical 4. A grain of sand with a mass of 255 mg, 525 μm wide, moving at 8.00 m/s. a. quantum b. classical

Hot air balloons float in the air because of the difference in density between cold and hot air. in this problem, you will estimate the minimum temperature the gas inside the balloon needs to be, for it to take off. to do this, use the following variables and make these assumptions: the combined weight of the pilot basket together with that of the balloon fabric and other equipment is w. the volume of the hot air inside the balloon when it is inflated is v. the absolute temperature of the hot air at the bottom of the balloon is th (where th> tc). the absolute temperature of the cold air outside the balloon is tc and its density is ďc. the balloon is open at the bottom, so that the pressure inside and outside the balloon is the same. as always, treat air as an ideal gas. use g for the magnitude of the acceleration due to gravity.

How many atoms are there in 5.70 mol of mg

Calculate the frequency of a wave in a spring toy. the wave has a speed of 1.1 meters per second and a wavelength of 0.1 meters. *