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It is a common observation that rain cl...

It is a common observation that rain clouds can be at about a kilometer altitude above the ground .
(a) If a rain drop falls from such a height freely under gravity, what will be its speed ? Also calcualte in `km//h (g = 10 m//s^(2))`.
(b) A typical rain drop is about 4 mm diameter. Momentum is mass `xx` speed in magnitude. Estiamate its momentum when its hits ground.
(c) Estimate the time required to flatten the drop.
(d) Rate of change of momentum is force. Estiamate how much force such a drop would exert on you.
(e) Estimate the order of magnitude force on umbrella. Typical lateral separation between two rain drop is 5 cm.
(Assume that umbrealla is circular and has a diameter of 1 m and cloth is not peicreced through.)

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