- #1
shootingrubbe
- 16
- 0
Hello Everyone, I've been trying to get the answer to this problem for ages now and I just can't match my answer with the one in the back of the textbook. I hope you can let me know what I'm doing wrong.
What is the gravitational field strength at a place 220 km above Earth's surface, the altitude of many piloted space flights.
Fg = mg
Fg = Gm₁m₂/d²
d = 6.60 x 10³ km
G = 6.67 x 10-¹¹ N.m²/kg²
m₂ = 5.98 x 10²⁴ kg
g = ? N/kg
Fg = mg = Gm₁m₂/d²
mg/m = Gm₁m₂/d²/m
g = Gm₂/d²
g = (6.67 x 10-¹¹ N.m²/kg²)(5.98 x 10²⁴ kg)/((6.60 x 10³ km)²)
And when I do this I always get the wrong answer when I compare it with the one in the back of the textbook. The answer in the back of the textbook is 9.1 N/kg [down].
If anyone here could please help me with this, that would be great.
Thanks.
Homework Statement
What is the gravitational field strength at a place 220 km above Earth's surface, the altitude of many piloted space flights.
Homework Equations
Fg = mg
Fg = Gm₁m₂/d²
The Attempt at a Solution
d = 6.60 x 10³ km
G = 6.67 x 10-¹¹ N.m²/kg²
m₂ = 5.98 x 10²⁴ kg
g = ? N/kg
Fg = mg = Gm₁m₂/d²
mg/m = Gm₁m₂/d²/m
g = Gm₂/d²
g = (6.67 x 10-¹¹ N.m²/kg²)(5.98 x 10²⁴ kg)/((6.60 x 10³ km)²)
And when I do this I always get the wrong answer when I compare it with the one in the back of the textbook. The answer in the back of the textbook is 9.1 N/kg [down].
If anyone here could please help me with this, that would be great.
Thanks.