How Do You Solve a Newton's Second Law Problem with a Free Body Diagram?

[oMovements]

Homework Statement

There is an attachment of a FBD, and you have to solve for the following:
Fg=?
Fnet?
Mass=?

The Attempt at a Solution

I know you will have to equate equations, but I don't know how to go about doing this.
I do know that Fg= m x 9.8, I isolated various equations and subbed them into each other and got no answer.

 

[barryj]

Remember that the net force = mass X acceleration.
You have the acceleration, you have the two forces acting on the mass, and mass m.

You are almost there.

 

[oMovements]

Remember that the net force = mass X acceleration.
You have the acceleration, you have the two forces acting on the mass, and mass m.

You are almost there.

F_net=ma
-F_g+F=ma
-9.8m+110 = m
-10.8m=-110
m=10.2kg

F_net=-F_g+F
=-9.8m+110
=-9.8(10.2)+110
F_net=10.04N

a= Fnet/m
a=10.04/10.2
a=0.98 m/s/s

Is this correct?

 

[barryj]

Looks good. However, you might use some more significant digits as the last part, a should be 1.0 as given.