Question

The acceleration due to gravity at a height h
above the surface of the earth (radius = R) is given by

g'=g(1-2h/R)

If h<<R, then show that: g'=g(1-2h/R)

Plz explain with the use of binomial theorum. ​

Answer 1

Answer:

Value of gravitational acceleration at a height h above th earth's surface is given by g

′

=g(

R+h

R

)

2

∴

4

g

=g(

R+h

R

)

2

Or

R+h

R

=

2

1

Or h+R=2R

⟹ h=R

Answer 2

Answer:

Check the attachment for answer