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A body of mass 1 kg is thrown upwards wi...

A body of mass 1 kg is thrown upwards with a velocity 20 m/s. It momentarily comes to rest after attaining a height of 18 m. How much energy is lost due to air friction `(g = 10 m//s^2)`

A

20 J

B

30 J

C

40 J

D

10 J

Text Solution

Verified by Experts

The correct Answer is:
A
`E_i =1/2 mv^2 =1/2 xx1 xx(20)^2 = 200 J`
`E_i` = (work done due to gravity) – (work done by air friction)
`=200 J = mgh +W_("air")`
`implies 200 = 180 +W_("air") implies W_("air") = 20 J`
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