Rain is falling at the rate of 5.0 cm/h and accumulates in a pan. If the raindrops hit at 8.0 m/s, what is the force on the bottom of a #1.0 m^2# pan due to the impacting rain which does not rebound? Water has a mass of #1.00 X 10^3# kg per #m^3#?
1 Answer
Given:
Pressure:
Explanation:
Consider rain drops impacting a surface of area
We do not know the size of each drop. But the rain fall rate allows us to calculate the rate of change of momentum.
Total Force: The total force experience by the surface due to the momentum transfer from the impacting rain drops is:
Where
Pressure: Pressure is the force per unit area.
Given: