A rocket moving around the earth at height “H”, If the gravitational acceleration “g1“ at height “H” is ½ of gravitational acceleration “g“ at earth surface. If Earth radius is ”R”, find “H” using R.
Answers
Answered by
1
Answer:
H = 0.4R
Explanation:
Answered by
1
Given : A rocket moving around the earth at height “H”, the gravitational acceleration “g1“ at height “H” is ½ of gravitational acceleration “g“ at earth surface.
Earth radius is ”R”,
To Find : “H” using R.
Solution:
g = GM/R² at surface of earth
g₁ at H = g/2
g₁ = GM/ ( R + H)²
g/2 = GM/ ( R + H)²
g = GM/R²
=> GM/2R² = GM/ ( R + H)²
=> ( R + H)² = 2R²
=> R + H = √2R
=> H = R(√2 - 1)
Learn More:
A particle is dropped from a height of 80m . Find the distance ...
brainly.in/question/11370407
A ball is dropped from a height of 80ft the ball is such that it ...
brainly.in/question/11471174
Similar questions