Forces on blocks with 3 different masses.

In summary, the problem involves three blocks of different masses being pushed by a 15 N force on a frictionless table. The acceleration of the system is found to be 0.71 m/s^2 using the equation F=ma. The first question asks for the force exerted by the 8.0 kg block on the 9.0 kg block, and the second question asks for the force exerted by the 8.0 kg block on the 4.0 kg block. To find these forces, we need to look at the blocks in isolation and use the fact that the net force on each block is equal to its mass times the common acceleration of the system. Thus, we can subtract the force needed to
  • #1
xgoddess210
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Homework Statement



Blocks with masses of 4.0 kg, 8.0 kg, and 9.0 kg are lined up in a row on a frictionless table. All three are pushed forward by a 15 N force applied to the 4.0 kg block.

1.) How much force does the 8.0 kg block exert on the 9.0 kg block?

2.)How much force does the 8.0 kg block exert on the 4.0 kg block?

Homework Equations



F=ma

The Attempt at a Solution



I found the acceleration of the blocks to be .71 m/s^2 because I did F/m=a or 15/(4+8+9)=.71

I don't know where to go from there or if that is even correct so far. Please let me know when you get a chance! Thank you!
 
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  • #2
OK. You found the acceleration of the system.

Now they are asking what force is accelerating the individual blocks.

Look at the blocks in isolation. You know that net of whatever forces there are, the block is being accelerated by the common acceleration of the system.

So how much is needed to accelerate the 4 kg block? What is the excess of the 15N that goes to accelerating the other blocks to the other side? And so on. And so on.
 
  • #3
Thank you for the response, but I guess I don't know what I should be doing mathematically.
 
  • #4
xgoddess210 said:
Thank you for the response, but I guess I don't know what I should be doing mathematically.

You found the acceleration of the system.

So net force F = m*a on the first block. What is that?

If that is the net force and you know how much is applied (15N) then just subtract that from 15 and that's what it's transmitting to the the next block.

Rinse and repeat.
 
  • #5
Ohhhhhh! I get it now, lol! Thank you! =]
 
  • #6
I have a very similar problem that I am working on but I guess I do not understand what is going on. I see how you go acceleration.

For the first part is all I do is take the acceleration that I found and multiply by the mass of the last block, then take that force and subtract it from the given force?
 

FAQ: Forces on blocks with 3 different masses.

What are forces on blocks with 3 different masses?

Forces on blocks with 3 different masses refer to the external forces acting on three blocks of different mass. These forces can include gravity, normal force, friction, and applied forces.

What is the relationship between mass and force?

According to Newton's Second Law of Motion, the force acting on an object is equal to its mass multiplied by its acceleration. This means that the greater the mass of an object, the greater the force needed to accelerate it.

How does the frictional force affect blocks with different masses?

The frictional force acts in the opposite direction of motion and is dependent on the type of surface and the force pressing the two surfaces together. Therefore, the frictional force experienced by each block will depend on their individual masses and the surface they are on.

Are there any other forces that could act on blocks with different masses?

Apart from the forces mentioned above, other forces such as tension, air resistance, and magnetic forces may also act on the blocks. These forces may vary depending on the situation and the properties of the blocks.

How do the forces on blocks with different masses affect their motion?

The forces acting on the blocks will determine their acceleration and direction of motion. If the forces are balanced, the blocks will remain at rest or continue to move at a constant velocity. If the forces are unbalanced, the blocks will accelerate in the direction of the net force.

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