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consider a drop of rain water having mas...

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 5 `m//s`.Take g constat with a vlaue of 10 `m//s^(2)`. The work donw by the (i) gravitational froce and the (ii) resistive force of air is

A

(i) -10 J (ii) -8.25

B

(i) 1.25 J (ii) -8.25

C

(i) 100 (ii) J 8.75 J

D

(i) 10 J (ii) -8.75 J

Text Solution

Verified by Experts

The correct Answer is:
D

`w_(g)+w_(a)=K_(f)-K_(i)`
`mgh+w_(a) =(1)/(2)mv^(2)-0`
`10^(-3) xx 10xx10^(3)+w_(a)=(1)/(2)xx 10^(-3) xx (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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