Arifle with a longer barrel can fire bullets with a larger velocity than a rifle with a shorter barrel. a) explain this using the impulse-momentum theorem. b) explain this using the work-energy theorem

Atwo-stage air compressor operates at steady state, compression 10m^3/min of air from 100 kpa and 300k to 1200 kpa. an intercooler between the two stages cools the air to 300k at a constant pressure of 350 kpa. the compression processes are isentropic. a) calculate the power required to run the compressor, in kw b) compare the result to the power required for isentropic compression from the same inlet state to the same final pressure.

Compare the horizontal displacement of the two balls as they travel to the ground. what do you observe?

If the work required to stretch a spring 3 ft beyond its natural length is 15 ft-lb, how much work is needed to stretch it 27 in. beyond its natural length?