I have no intuition. Momentum problem

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Homework Help Overview

The discussion revolves around a series of questions related to Newton's Third Law of Motion, specifically focusing on the forces exerted during collisions between two objects of differing masses. The original poster expresses uncertainty about their intuition regarding the forces involved in various scenarios of object interactions.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the implications of Newton's Third Law, questioning whether the forces exerted during impacts are equal in magnitude. Some participants attempt to clarify the timing of the forces (at impact vs. after impact) and how that affects their reasoning.

Discussion Status

There is an ongoing exploration of the concepts, with some participants affirming the original poster's intuition while others provide examples to illustrate the principles at play. Multiple interpretations of the scenarios are being discussed, particularly regarding the effects of mass and the timing of force application.

Contextual Notes

Participants are navigating the nuances of force interactions in collision scenarios, with some confusion about the definitions and implications of force application at different moments. The discussion reflects a mix of intuitive reasoning and mathematical considerations, with references to real-world examples to support their points.

flyingpig
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Homework Statement



Q1) Suppose the mass of object A is greater than that of object B and that it is moving towards B, which is at rest.
Will:
A. Object A exerts a larger force on object B
B. The objects exert the same size force on each other
C. Object B exerts a larger force on object A

Q2) Suppose the mass of object A is much greater than that of object B and that object B is moving in the same direction as object A but not as fast. Predict:
A. Object A exerts a larger force on object B
B. The objects exert the same size force on each other
C. Object B exerts a larger force on object A

Q3) Suppose the mass of object A is much greater than that of object B and that both objects are at rest until an explosion occurs. Predict:
A. Object A exerts a larger force on object B
B. The objects exert the same size force on each other
C. Object B exerts a larger force on object A



The Attempt at a Solution




My so called intuition tell mse all the answer is B because of action = minus reaction. i know I am wrong...

Could anyone show me the intuiton method vs math method.
 
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You're right, Newton's 3rd Law is the key here.
 
flyingpig said:

Homework Statement



Q1) Suppose the mass of object A is greater than that of object B and that it is moving towards B, which is at rest.
Will:
A. Object A exerts a larger force on object B
B. The objects exert the same size force on each other
C. Object B exerts a larger force on object A

Q2) Suppose the mass of object A is much greater than that of object B and that object B is moving in the same direction as object A but not as fast. Predict:
A. Object A exerts a larger force on object B
B. The objects exert the same size force on each other
C. Object B exerts a larger force on object A

Q3) Suppose the mass of object A is much greater than that of object B and that both objects are at rest until an explosion occurs. Predict:
A. Object A exerts a larger force on object B
B. The objects exert the same size force on each other
C. Object B exerts a larger force on object A



The Attempt at a Solution




My so called intuition tell mse all the answer is B because of action = minus reaction. i know I am wrong...

Could anyone show me the intuiton method vs math method.

Your intuition is no doubt calling from the back of your mind.

Luke Skywalker heard "use the force" in Star Wars

You are hearing " Use Newtons Third law ! " in Physics.

Trust the voices you hear!
 
PeterO said:
Your intuition is no doubt calling from the back of your mind.

Luke Skywalker heard "use the force" in Star Wars

You are hearing " Use Newtons Third law ! " in Physics.

Trust the voices you hear!

And see a medical professional.
 
But I am using the dark forces...lead me to the right way.
 
Okay I misread the question. It's asking the force at the impact or after? If it is after, it will always be B?

If it is at the point of contact then

1) It has to be A because B will experience a change in velocity?
2) No clue still
3) I am just going to guess that at the point of exploding, it is the same as 1)?
 
There will be no force after impact. The impact IS where the forces are happening.

And Newton's 3rd law says the forces will be equal in magnitude. Forces ALWAYS occur in equal magnitude pairs.
 
For a second there I confused velocity and acceleration. Anyways I htink I was right initally then.

In all cases, the force is the same because the heavier mass will probably travel a shorter distance with a slower velocity given the same force, but the light mass will travel further with a greater change in velocity. Yes?
 
flyingpig said:
Okay I misread the question. It's asking the force at the impact or after? If it is after, it will always be B?

If it is at the point of contact then

1) It has to be A because B will experience a change in velocity?
2) No clue still
3) I am just going to guess that at the point of exploding, it is the same as 1)?

NO no no, it is always B. Newtons third law.

The size of the forces is equal. The effects of the force are different [Newtons Second law explains that one]

When the multi-kg baseball bat strikes the fraction-of-a-kg ball, the bat slows slightly, while the ball accelerates at an enormous rate [and the velocity it gains in that fraction of a second is enough to see it clear the fence before is falls back to ground]
Actually it would have to be golf - Body B was at rest

Example 3 is just the example of a rifle. Once the cartridge explodes, the rifle "recoils" slightly and the bullet heads off at extremely quickly under the influence of two forces, equal in magnitude and opposite in dirction.
 
  • #10
flyingpig said:
For a second there I confused velocity and acceleration. Anyways I htink I was right initally then.

In all cases, the force is the same because the heavier mass will probably travel a shorter distance with a slower velocity given the same force, but the light mass will travel further with a greater change in velocity. Yes?

I shall adjust your sentence - using underscore to identify deletions, and italics to show additions:

In all cases, the force is the same. because The heavier mass will have probably travel a shorter distance with a slower smaller velocity change given the same force, but the light mass will travel further withhave a greater change in velocity.

Yielding:

In all cases, the force is the same. The heavier mass will have a smaller velocity change given the same force, but the light mass will have a greater change in velocity.
 
  • #11
You're right with all Bs.

But the acceleration will be different:

ma=m'a'
a=m'a'/m

For the acceleration on the first object, be it bigger or smaller.
 

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