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QNEET-2017-Ph-966: NEET 2017 Physics - Class 11 NEET-2017-Ph-966 Solution: Consider a drop of rain water having mass 1 g falling from a…
Consider a drop of rain water having mass 1 g falling from a height of 1 km. It hits the ground with a speed of 50 m . Take 'g' constant with a value 10 m . The work done by the (i) gravitational force and the (ii) resistive force of air is (i) 1.25 J (ii) -8.25 J (i) 100 J (ii) 8.75 J (i) 10 J (ii) -8.75 J (i) -10 J (ii) -8.25 J
Multiple Choice Options
- A (i) 1.25 j (ii) _ 8.25 J
- B (i) 100 j (ii) 8.75 J
- C (i) 10 j (ii) _ 8.75 J
- D (i) _ 10 j (ii) _ 8.25 J
Step-by-Step Verified Solution
From work-energy theorem,
W g + W a = _ K.E
or mgh + W a = 1 2 m v 2 _ 0
10 _ 3 _ 10 _ 10 3 + W a = 1 2 _ 10 _ 3 _ ( 50 ) 2
_ W a = _ 8.75 J
which is the work done due to air resistance
Work done due to gravity = mgh
= 10 �3 _ 10 _ 10 3 = 10 J