It is a common observation that rain clouds can be at about a kilometre altitude above the groun....

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It is a common observation that rain clouds can be at about a kilometre altitude above the ground.
(a) If a rain drop falls from such a height freely under gravity, what will be its speed? Also calculate in \( \mathrm{km} / \mathrm{h} .\left(g=10 \mathrm{~m} / \mathrm{s}^{2}\right) \)
(b) A typical rain drop is about \( 4 \mathrm{~mm} \) diameter. Momentum is mass \( x \) speed in magnitude. Estimate its momentum when it hits ground.
(c) Estimate the time required to flatten the drop.
(d) Rate of change of momentum is force. Estimate 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 drops is \( 5 \mathrm{~cm} \).
(Assume that umbrella is circular and has a diameter of \( 1 \mathrm{~m} \) and cloth is not pierced through !!) ðŸ“ēPW App Link - https://bit.ly/YTAI_PWAP 🌐PW Website - https://www.pw.live



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