Home
Class 11
PHYSICS
Calculate the value of acceleration due ...

Calculate the value of acceleration due to gravity at a point a. 5.0 km above the earth's surface and b. 5.0 km below the earth's surface. Radius of earth =6400 km and the value of g at the surface of the earth is 9.80`ms^2`

Text Solution

Verified by Experts

(a) The value of g at a height h is (for `h lt lt R`)
`g_(0)=g_(0)(1-(2h)/(R ))`
`= (9.80 ms^(-2))(1-(2xx5.0km)/(6400 km))`
`= 9.78 ms^(-2)`
(b) The value at a depth h is
`g = g_(0)(1-(h)/(R ))`
`= (9.8 m s^(-2)) (1-(5.0km)/(6400 km))`
`= 9.79 m s^(-2)`
Promotional Banner

Topper's Solved these Questions

  • GRAVITATION

    BANSAL|Exercise Solved Example|8 Videos

  • GRAVITATION

    BANSAL|Exercise Practice Exercise|18 Videos

  • CENTRE OF MASS & MOMENTUM CONSERVATION

    BANSAL|Exercise EXERCISE-4 (SECTION-B) (JEE-ADVANCED Previous Year Questions)|8 Videos

  • HEAT TRANSFER

    BANSAL|Exercise Exercise|89 Videos

Similar Questions

Explore conceptually related problems

Compare the weight of a body when it is at (a) 80 km above the earth,s surface and (b) 80 km below the earth's surface. Take radius of earth = 6,400 km.

The ratio between the values of acceleration due to gravity at a height 1 //km above and at a depth of 1 km below the Earth’s surface is (radius of Earth is R)

Find the value of g at a height of 400 km above the surface of the earth . Given radius of the earth , R = 6400 km and value of g at the surface of the earth = 9.8 ms^(-2) .

The acceleration due to gravity at a height 1 km above the earth is the same as at a depth d below the surface of earth

What would be the value of acceleration due to gravity at a point 5 km below the earth's surface ? (R_(E) = 6400 km, g_(E) = 9.8 "ms"^(-2))

The acceleration due to gravity at a height 1km above the earth is the same as at a depth d below the surface of earth. Then :

Find the value of acceleration due to gravity in a mine at a depth of 80 km from the surface of the earth . Radius of the earth = 6400 km .

(a) Assuming the earth to be a sphere of uniform density, calculate the value of acceleration due to gravity at a point (i) 1600 km above the earth, (ii) 1600 km below the earth, (b) Also find the rate of variation of acceleration due to gravity above and below the earth's surface. Radius of earth =6400 km, g 9.8 m//s^(2) .

Calculate the depth below the surface of the earth where the acceleration due to gravity is 2% of its value at the earth's surface. Take, Radius of earth = 6,400 km