What would be the accelearation due to gravity at a depth of 200 km from ythe earth surface assuming that earth has uniform denisty [Take ,R =6400 km]

Question

What would be the accelearation due to gravity at a depth of 200 km from ythe earth surface assuming that earth has uniform denisty [Take ,R =6400 km]

What would be the accelearation due to gravity at a depth of 200 km from ythe earth surface assuming that earth has uniform denisty [Take ,R =6400 km]
A. 4.37 `ms^(-2)`
B. 6.737 `ms^(-2)`
C. 5.709 `ms^(-2)`
D. 4.751 `ms^(-2)`

Monjur Alahi

4 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Given depth d= 2000km =`=2x10^(6)m`
Radius of earth R=6400 km `=6.4xx10^(6)`m
The acceleration due to gravity at a point at a depth d from the earth surface is given by
`g_(d)=g[1-(d)/(R )]`
`therefore g_(d)=9.8[(1-(2xx10^(6))/(6.4xx10^(6)))]`
`=(9.8xx4.4)/(6.4)=6.737 ms^(-2)`

4 views Answered 2023-02-05 15:29