help with f=ma?

Question

On earth, two parts of a space probe weigh 14000 N and 5100 N. These parts are separated by a center-to-center distance of 13 m and may be treated as uniform spherical objects. Find the magnitude of the gravitational force that each part exerts on the other out in space, far from any other objects.

Answer 1

First use f=ma on each object to determine the mass of each using 9.81 as the acceleration due to gravity (or a in this formula)

Then with m1 and m2 and r being the distance, G is the gravitational constant = 6.6742 * 10^(-11)

F = m1*m2*G/r^2

Plug and chug.
The answer should be very very very small due to G.

Answer 2

Using F = mg you can find the mass of the object.

m1 = w1 / g
m2 = w2 / g

In space far away from other objects the graviational force between two objects with m1 and m2 is

F = G*m1*m2/d^2

With G is the gravitional constant (6.67) X 10^-11 N*m^2/kg^2
m1 is the mass of object 1
m2 is the mass of object 2
d is the center to center distance

Thus

Gravitational force = G*w1*w2/d^2*g^2

Plug in your numbers and you are done.

2.9 X 10^-7 N

Your answer should have only two significant figures, this is because out of all the parameters you were given they all have 2 significant figures.

Answer 3

the 14000 N mass will be M and the other will be m

For this one you need to know the equation:

Fg = (G x M x m)/r²
G is a constant that equals 6.67 x 10^-11
Now we need the masses

Fg = Mg
14000 = (M)9.8
M = 1428.57 kg
m = 520.41 kg

Now plug into equation above:

Fg = [(6.67 x 10-11) x (1.428 x 10^3) x (5.20 x 10^2)] / 13²

Fg = 2.931 x 10^-5 N

Answer 4

Fgrav=m1m2/d^2
14000/9.81 and 5100/9.81 to get their mass. Then do what the formula says.

Answer 5

That's a tough one for me sorry.

Answer 6

force= mass/acceleration as in newtons laws?