How Much Gravitational Force Acts Between an Astronaut and a Space Shuttle?

[Finhum]

Homework Statement

What is the approximate value of the gravitational force between a 61 kg astronaut and a 71000 kg space shuttle when they're 81 m apart?

Homework Equations

F = [G(Mm)/r^2]

The Attempt at a Solution

F = (6.67×10−11 N·m2/kg2)(61 kg)(71,000 kg)÷
(84 m)2 = 48.4 nN.

Web assign marked it wrong?
Is it wrong?

 

[shallgren]

Check your arithmetic, given your set up (which is correct) I get 40.9 nN.

 

[Finhum]

Check your arithmetic, given your set up (which is correct) I get 40.9 nN.

^ That is wrong.

 

[shallgren]

Whoops, I just checked what you had filled in the equation as. The problem you wrote says that the shuttle and the astronaut are 81 m apart, but the set-up shows 84 m. My bad.

Using 81 m as the distance, I get 4.40 nN. Unless, of course, the problem actually is 84.