A hose-pipe of cross-section area 2 cm2 delivers 1500 litres of water in 5 minutes. What is the speed of water in m/s through the pipe?

To find the speed of water in m/s through the pipe, we can use the formula:

Speed = Volume / Time

First, let's convert the cross-sectional area of the hose-pipe from cm^2 to m^2. Since 1 cm^2 is equal to 0.0001 m^2, the cross-sectional area of the hose-pipe is:

2 cm^2 * 0.0001 m^2/cm^2 = 0.0002 m^2

Next, let's convert the volume of water delivered from liters to cubic meters. Since 1 liter is equal to 0.001 cubic meters, the volume of water delivered is:

1500 liters * 0.001 m^3/liter = 1.5 m^3

Now, let's convert the time from minutes to seconds. Since 1 minute is equal to 60 seconds, the time taken is:

5 minutes * 60 seconds/minute = 300 seconds

Finally, we can calculate the speed of water in m/s through the pipe:

Speed = 1.5 m^3 / 300 seconds = 0.005 m/s

Therefore, the speed of water through the pipe is 0.005 m/s.