Consider a drop of rainwater having a mass of $$1~\text{gm}$$ falling from a height of $$1~\text{km}$$. It hits the ground with a speed of $$50~\text{m/s}$$. Take $$g$$  as constant with a value $$10~\text{m/s}^2.$$ The work done by the
(i) gravitational force and the
(ii) resistive force of air is:

 1 $$(\text{i})~1.25~\text{J};$$ $$(\text{ii})~-8.25~\text{J}$$ 2 $$(\text{i})~100~\text{J};$$ $$(\text{ii})~8.75~\text{J}$$ 3 $$(\text{i})~10~\text{J};$$ $$(\text{ii})~-8.75~\text{J}$$ 4 $$(\text{i})~-10~\text{J};$$ $$(\text{ii})~-8.75~\text{J}$$

Subtopic: Â Work Energy Theorem |
Â 69%
From NCERT
NEET - 2017
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What is the minimum velocity with which a body of mass m must enter a vertical loop of radius R so that it can complete the loop?

(1) $\sqrt{2\mathrm{gR}}$

(2) $\sqrt{3gR}$

(3) $\sqrt{5gR}$

(4) $\sqrt{gR}$

Subtopic: Â Work Energy Theorem |
Â 77%
From NCERT
NEET - 2016
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