How much work is done by pressure in forcing 9.1 m3 of water through a pipe having an internal diameter of 15 mm if the difference in pressure at the two ends of the pipe is 2.2 atm

2022020 J

Explanation:

v = 9.1 cubic metre

Pressure difference, ΔP = 2.2 atm = 2.2 x 101000 Pa = 222200 Pa

Work done by the force in moving a distance when the distance and the force is in the same direction is given by

W = F x d

Here force is defined as

Force = Pressure difference x Area

So, W = ΔP x A x d

Here, A x d is the volume, so, the work done is

W = ΔP x V = 222200 x 9.1 = 2022020 J

when two balls of the different masses are dropped from equal height, they reach the ground at the same time .this is because they experience the same acceleration.

the acceleration is independent of mass.

thus when they are dropped they will always maintain the same velocity and travel the same distance (neglect air resistance of course) at the same time.