The average mass of rain drops is 3.0 times 1 | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) The volume of rain received per square metre in a year is $V = 	ext{Area} 	imes 	ext{height} = 1 \, m^2 	imes 1 \, m = 1 \, m^3$.Given the den

Vedclass · Accepted Answer

$4.05 	imes 10^4 \, J$

Vedclass · Answer

(B) The volume of rain received per square metre in a year is $V = 	ext{Area} 	imes 	ext{height} = 1 \, m^2 	imes 1 \, m = 1 \, m^3$.Given the density of water $d = 10^3 \, kg/m^3$, the total mass $M$ of this water is $M = d 	imes V = 10^3 \, kg/m^3 	imes 1 \, m^3 = 10^3 \, kg$.The kinetic energy transferred by the rain is given by the formula $E = \frac{1}{2} M v^2$, where $v$ is the terminal velocity.Substituting the values: $E = \frac{1}{2} 	imes 10^3 \, kg 	imes (9 \, m/s)^2$.$E = 0.5 	imes 10^3 	imes 81 = 40.5 	imes 10^3 \, J = 4.05 	imes 10^4 \, J$.

The average mass of rain drops is $3.0 \times 10^{-5} \, kg$ and their average terminal velocity is $9 \, m/s$. Calculate the energy transferred by rain to each square metre of the surface at a place which receives $100 \, cm$ of rain in a year.

Similar Questions

Eight spherical rain drops of the same mass and radius are falling down with a terminal speed of $6 \ cm \ s^{-1}$. If they coalesce to form one big drop,what will be the terminal speed of the bigger drop (in $cm \ s^{-1}$)? (Neglect the buoyancy of the air)

Which falls faster,big rain drops or small rain drops?

$A$ lead sphere of mass $m$ falls with a terminal velocity $V$ in a viscous liquid. With what terminal velocity will another lead sphere of mass $8m$ fall in the same liquid?

The speed of a ball of radius $2 \,cm$ in a viscous liquid is $20 \,cm / s$. What will be the speed of a ball of radius $1 \,cm$ in the same liquid (in $\,cm / s$)?

$A$ spherical ball is dropped in a long column of a highly viscous liquid. The curve in the graph shown, which represents the speed of the ball $(v)$ as a function of time $(t)$ is

Vedclass Test Series

Exam Paper Generator

Online Exam Module