What is the formula for calculating force using a spring balance?

[Suyash Singh]

i don't know the math here but in this case one of the force acts as a "support" ,that is, we could replace one of the force with a wall.

what i mean to say is that two teams pulling rope from two sides with same force
is the same case as
a team pulling a rope attached to a stationary wall with the same force.

but i don't know the math because its not given properly anywhere.

 

[haruspex]

Applying on m2
force=m2(g+a)
Applying on m1
force=m1(g-a)

Right. You have two equations and two unknowns. Solve to find the force.
How does that force relate to what the spring balance shows?

 

[Suyash Singh]

Right. You have two equations and two unknowns. Solve to find the force.
How does that force relate to what the spring balance shows?

a=(m1-m2)g/m1+m2
force=2m1m2/m1+m2
oh so the spring balance shows 2m1m2/m1+m2 since it divides the tension produced by g to get the mass

 

[Suyash Singh]

and

a=(m1-m2)g/m1+m2
force=2m1m2/m1+m2
oh so the spring balance shows 2m1m2/m1+m2 since it divides the tension produced by g to get the mass

that's why two teams pulling a rope with the same force of 1000N will produce a tension of 1000N !

because tension=2*1000*1000/(1000+1000)=1000N
wow now i am so clear about this :)

 

[haruspex]

force=2m1m2/m1+m2

You missed out g and you should use parentheses in the denominator, but other than that, yes.