how much above the earth surface the acceleration due to gravity reduced by 50%
Answers
Answered by
0
Answer:
The new value of gravity at a height h is given as g′=
(R+h)
2
gR
2
As visible from the formula that incresing h results in decresing gravity.
So just put g′=g/2 i.e. 50% less than g where g is gravity at surface. so we get g/2=
(R+h)
2
gR
2
or
2
1
=
(R+h)
2
R
2
or
1
2
=
R
2
(R+h)
2
or
2
2
=
R
R+h
=1+h/R putting values we get
R
h
=1.414−1=0.414
so h=0.414R=2649.6Km
Similar questions