Question

If a body weighing 40 kg is taken inside the earth to a depth to radius of the earth, then `1/8`th the weight of the body at that point is ______.

Options

• 40 kg-wt

• 20 kg-wt

• 30 kg-wt

• 35 kg-wt

Answer 1

If a body weighing 40 kg is taken inside the earth to a depth to radius of the earth, then `1/8`th the weight of the body at that point is 35 kg-wt.

Explanation:

`"g"'  ="g"((1-"h")/"r")`

As h=`"R"/8 ⇒ "h"/"R"=1/8 ∴ "g"' ="g"(7/8)`

`⇒ "W"'="mg"'="mg"7/8`

`= 40(7/8)`=35kg-wt.