Need help Basic Physics question from a competitive test.

1. Nov 26, 2012

johsun123

1. The problem statement, all variables and given/known data

Two bodies of masses M1& M2 resting on frictionless surface. Bodies touch each other without any friction.
What will be the force between the bodies, If they are pushed from one end with force F and both are accelerating towards other end?
Answer given is (M2 x F)/(M1+M2).
How is it arrived at?

2. Relevant equations

F= G M1XM2/ distance squared

3. The attempt at a solution

I am stumped. I cannot arrive at this with above equation.

2. Nov 26, 2012

Basic_Physics

You really need to draw a diagram with the forces and accelerations to solve this one - a free-body diagram.

3. Nov 26, 2012

Bill Nye Tho

You shouldn't be using Newton's Law of Universal Gravitation here.

When you draw a free body diagram of M1, you'll recognize that there is a resisting force (f) on it from the other mass.

1)

ƩFx = M1a

F - f = M1a

Then draw a free body diagram of M2, which has no resisting force.

2)

ƩFx = M2a

F = M2a

You should understand the fact that both masses will have the same acceleration.

Knowing that detail, you can manipulate your equations in order to solve for the missing force "f."

Start by solving the 2nd equation for acceleration:

a = F/M2

Plug that back into the 1st equation and you should have:

f = FM2/(M1+M2)

4. Nov 26, 2012

johsun123

Thank you. It was bugging me.

It looks like a grade 11 question to me.