Question

1. A raindrop falls from a cloud that is 80m above the ground.Calculate the theoretical maximum velocity of the raindrop before it hits the ground.Assume that the acceleration due to gravity is ,g,is equal to 10m/s2.(3mk)

2. A typical rain drop has a mass of 2.5 x 10-5 kg,state the mass of the raindrop in grams
3. Use your answer in part (1) and (2) to calculate the maximum final theoretical momentum of the raindrop

Answer 1

Answer:

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Explanation:

1.The force acting on a rain drop which falling down are its weight w=mg and Air resistance R=kv

Net force =W−R=ma

Here W=constant , a=acceleration , R= Variable

R is increasing with speed of drop and net acceleration to decrease .

When R=W(at one stage )

net force on the rain drop is zero (a=0). And after that forces.Due to air resistance increases with the speed of the rain until it balances the gravitational force.

2.Mass m=3×10

−5

kg

v=9m/s

density of water:ρ=10

3

kg/m

3

Area:A=1m

2

Height:h=100cm=1m

Volume=1m

3

Mass of 1m

3

of water is M=1000kg.

Total energy K=

2

1

×1000×v

2

=

2

8.1

10

4

J=4.05×10

4

J