Moving along a horizontal surface (no friction)

AI Thread Summary
The problem involves a body moving on a horizontal surface with two different forces and accelerations, leading to a need to determine its mass. The relevant equation is ΣF = ma, which is crucial for solving the problem. There is confusion regarding the frictionless assumption, as the data provided suggests the presence of friction. By using the two sets of data points, both the mass of the body and the frictional force can be calculated. The discussion emphasizes the importance of accurately interpreting the problem statement to resolve the inconsistencies.
inv4lid
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At a force of 40N, the body moves along a horizontal surface with an acceleration of 2m/s^2 and under the action of 50N with an acceleration of 3m/s^2. What is the mass of the body?
s26QA0PYRjW_3q_m0Q6cdQ.png

F1 = 40N
a1 = 2m/s^2
F2 = 50N
a2 = 3m/s^2
_____________
m=?
2. Homework Equations

As there's no vertical acceleration, we probably don't have to deal with gravity nor N. The only thing i managed to get is N = -G which is somehow useless.

The Attempt at a Solution


No idea how to get the mass, can anyone help me?
 

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You are certain you have included all information from the problem statement?
 
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Yes
 
Look again, please.
 
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If you're going to ask for help, you need to include the problem exactly as it was stated. Where did you get that it's a frictionless surface as you put in the title?
 
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Bystander said:
Look again, please.
I have included all information, absolutely
 
RedDelicious said:
If you're going to ask for help, you need to include the problem exactly as it was stated. Where did you get that it's a frictionless surface as you put in the title?
We haven't learned friction at movement yet
The chapter the problem belongs to is "second law of Newton"
 
The relevant equation is ΣF=ma. You surely have met that one. Perhaps you know it as Fnet=ma, which is the same thing.
If there is no friction then Fnet is easy, but now the question is giving you inconsistent data. The only thing that makes sense is that there is friction.
Take the frictional force to be the same in both cases.
 
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Mass and friction are unknown. If you have two unknowns you will need two equations. Fortunately the problem statement gives you two sets of data points. So not only can you calculate the mass but you can also calculate the friction force that exist.
 
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