Reaction Force: A Comparison of Masses

In summary, on a frictionless surface, when a force of equal magnitude is applied to both a heavier and lighter block, the force exerted by the heavier block on the lighter block is greater when the force is applied to the lighter block. This can be explained by drawing free body diagrams and using Newton's laws to solve for the unknown forces.
  • #1
Redfire66
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Homework Statement


Two blocks with different masses are in contact on a frictionless surface. A force, Fp can be applied to either block. If the magnitude of Fp is the same on both cases, the force exerted by the heavier block on the lighter box is
A) The same
B) Greater when force Fp is applied on the lighter block
C) Greater when force Fp is applied on the larger block

Homework Equations


F = ma

The Attempt at a Solution


So I'm assuming that they mean the reaction force, also would the acceleration be the different for each mass? Since the total force would equal Fp and so Fp = ma, which means that the smaller mass would have a larger acceleration but that doesn't explain to me how the reaction force is different. I also drew a diagram but that didn't really help me.
When I looked at it, I first assumed they would be the same since I thought the reaction force would both equal Fp no matter what. I have the answer, however I'm not really sure I understand the concept behind it (the answer is B)
I made the smaller box look smaller just so I can visualize it easier in the diagram provided.
 

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  • #2
Resist the temptation to call the force between the boxes a reaction force. It is a normal force whose magnitude is determined from Newtons laws. Since the blocks remain in contact, their accelerations must be the same. Draw free body diagrams of both blocks and each block separately, solve for the unknown forces, and compare for each case.
 
  • #3
|Never mind figured it out
 
Last edited:

FAQ: Reaction Force: A Comparison of Masses

What is reaction force?

Reaction force is the force exerted by an object in response to an action or force applied on it. It is equal in magnitude and opposite in direction to the applied force.

How is reaction force different for objects of different masses?

Reaction force is directly proportional to the mass of an object. This means that the greater the mass, the greater the reaction force will be.

What is the relationship between reaction force and acceleration?

According to Newton's Second Law of Motion, reaction force is directly proportional to the acceleration of an object. This means that the greater the reaction force, the greater the acceleration will be.

Can reaction force be greater than the applied force?

No, according to Newton's Third Law of Motion, reaction force is always equal and opposite to the applied force. Therefore, it cannot be greater.

How does reaction force affect an object's motion?

Reaction force can either cause an object to accelerate or decelerate, depending on the direction of the applied force. It can also cause an object to change direction if the applied force is not in the same direction as its motion.

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