Newton’s Second Law applied: F=ma

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SUMMARY

The discussion centers on applying Newton's Second Law (F=ma) to a problem involving two blocks with different forces and masses. Block A experiences a force of 100 N with a mass of 10 kg, resulting in an acceleration of 10 m/s². Block B, with a force of 200 N and a mass of 15 kg, yields an acceleration of 13.33 m/s². Participants emphasize the importance of solving the problem algebraically rather than using arbitrary values, as the provided options do not align with the calculated results.

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  • Understanding of Newton's Second Law (F=ma)
  • Basic algebraic manipulation skills
  • Familiarity with units of force (Newtons), mass (kilograms), and acceleration (m/s²)
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adams_695
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Homework Statement
you have block A being pulled with a force. You then have block B which has an increase in mass of half the mass of the original block ( adding another 1/2 mass).

You also double the force block B is being pulled with compared to Block A.

What is the change in acceleration to block B??
Relevant Equations
F=ma
My attempt at solving this written out with random inputs

Block A- F(100)=M(10)A(10)

Block B- F(200)= M(15) A

A=200/15 = 13.33

This was not in line with options.. which were

4x block A
(1/4) block A
Equal to block A
(1/2) block A
2x block A

Much appreciated some help as I am a beginner
 
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I think your statement of the problem is muddled. Is this a translation?

Also, your answer of 13.33 units is relative to an acceleration of 10 units for A.

It's better to work alebraically in these cases; rather than inventing some numbers for masses and forces.
 
PeroK said:
I think your statement of the problem is muddled. Is this a translation?

Also, your answer of 13.33 units is relative to an acceleration of 10 units for A.

It's better to work alebraically in these cases; rather than inventing some numbers for masses and forces.

Thanks for the response. Just started out with physics and trying to wrap my head around it all.

The question is basically asking if you double the force and increase the mass by another half then what will acceleration increase/decrease by.

My first post on here also and tried to follow the guide appropriately
 
adams_695 said:
The question is basically asking if you double the force and increase the mass by another half then what will acceleration increase by.

Given that the answer to that question is not in the list of options, I doubt that is The question.

What about:

If B has half the mass of A and is subjected to twice the force, how does the acceleration of B compare with that of A?

Might that be the question?
 
PeroK said:
Given that the answer to that question is not in the list of options, I doubt that is The question.

What about:

If B has half the mass of A and is subjected to twice the force, how does the acceleration of B compare with that of A?

Might that be the question?
Just for entire clarity this is the photo I just took of the question. Thanks for helping
E1ED16B1-FBF2-4F3E-BC08-38546919C11D.jpeg
 
PeroK said:
Given that the answer to that question is not in the list of options, I doubt that is The question.

What about:

If B has half the mass of A and is subjected to twice the force, how does the acceleration of B compare with that of A?

Might that be the question?
Sorry didn’t upload properly before. Fixed it above
 
adams_695 said:
Just for entire clarity this is the photo I just took of the question. Thanks for helpingView attachment 247105
Well, the diagram shows the same force in each case, which contradicts the text.

In either case, none of the options answers the question.

Can you do the problem as stated, using symbols for the masses, forces and accelerations?

That might be a good exercise.
 

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