at what altitude from earth's surface will the acceleration due to gravity be 25%as that on the earth's surface (Given that the radius of earth is R) option a. R/4 b. 3R/8 c. R d. R/2
Share
at what altitude from earth's surface will the acceleration due to gravity be 25%as that on the earth's surface (Given that the radius of earth is R) option a. R/4 b. 3R/8 c. R d. R/2
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Answer:
c.R
Explanation:
Force on the body placed on Earth's surface is
[tex]F= \frac{GMm}{R^{2} }[/tex]
But, F=mg hence,
mg= [tex]\frac{GMm}{R^{2} }[/tex]
where, variables have their usual meanings.
g[tex]R^{2}[/tex]= GM
Now, force on the body at geo-potential height say h (altitude) where the acceleration due to gravity is 25% of that at the earth's surface i.e.
[tex]\frac{25g}{100}[/tex][tex]=\frac{g}{4}[/tex]
Hence, we can write
[tex]\frac{g}{4} =\frac{GM}{(R+h)^{2} }[/tex]
[tex](R+h)^{2} = 4R^{2}[/tex]
Taking roots for both sides we get
R+h=2R
h=R
Answer:
Force on the body placed on Earth's surface is
But, F=mg hence,
mg=
where, variables have their usual meanings.
g= GM
Now, force on the body at geo-potential height say h (altitude) where the acceleration due to gravity is 25% of that at the earth's surface i.e.
Hence, we can write
Taking roots for both sides we get
R+h=2R
h=R
Explanation: