NEET Solved Paper 2017 Question 40

Question: 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/s. Take g constant with a value $ 10,m/s^{2}. $ The work done by the (i) gravitational force and the (ii) resistive force of air is

Options:

A) (i) 10 J (ii) -8.75 J

B) (i) -10 J (ii) -8.25 J

C) (i) 1.25 J (ii) -8.25 J

D) (i) 100 J (ii) 8.75 J

Show Answer

Answer:

Correct Answer: A

Solution:

$ w _{g}w _{a}=K _{f}-K _{i} $

$ mgh+w _{a}=\frac{1}{2}mv^{2}-0 $ $ {10^{-3}}\times 10\times 10^{3}+w _{a}=\frac{1}{2}\times {10^{-3}}\times {{(50)}^{2}} $ $ w _{a}=-8.75,J $

i.e. work done due to air resistance and work done due to gravity = 10 J



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