anonymous
  • anonymous
An object of mass m has an an accleration of magnitude a, when a force of strength F acts on it (on a frictionless surface). Four other objects on the same surface have the following masses and accelerations: A: Mass = 2m, Acceleration = a/2 B: Mass = m, Acceleration = 2a C: Mass = 2m, Acceleration = a D: Mass = 2m, Acceleration = 2a Which of the options below correctly ranks the strengths of the forces acting on these four objects, from weakest to strongest.
Physics
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anonymous
  • anonymous
An object of mass m has an an accleration of magnitude a, when a force of strength F acts on it (on a frictionless surface). Four other objects on the same surface have the following masses and accelerations: A: Mass = 2m, Acceleration = a/2 B: Mass = m, Acceleration = 2a C: Mass = 2m, Acceleration = a D: Mass = 2m, Acceleration = 2a Which of the options below correctly ranks the strengths of the forces acting on these four objects, from weakest to strongest.
Physics
schrodinger
  • schrodinger
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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johnweldon1993
  • johnweldon1993
Hint* \(\large F = ma\)
anonymous
  • anonymous
So all I need to do is multiple the mass and acceleration for all of them? We haven't had this in class yet so I'm not really sure.
johnweldon1993
  • johnweldon1993
That is correct...And you will be learning about it a lot! Newtons 2nd Law..F = ma So yes just multiply and simplify...what do you get?

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anonymous
  • anonymous
A: 4 B:2 C:2 D:4 Would that be right?
anonymous
  • anonymous
Because if that's the case how do you decide which one is bigger when B and C are the same values just like A and D?
johnweldon1993
  • johnweldon1993
Not quite Ex: A) \(\large F = ma\) \(\large F=2m\times \frac{a}{2} = ma\) B) \(\large F = ma\) \(\large F=m\times 2a = 2ma\) *So that should show you that B would be twice as strong of a force as A right? Continue on from there :)
anonymous
  • anonymous
Sorry about the super late reply. So it would be A

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