Calculating Mass and Acceleration with Constant Force and Distance Traveled

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Homework Help Overview

The discussion revolves around a physics problem involving a constant force acting on an object, specifically focusing on calculating the object's mass and acceleration given the force and distance traveled, but without a specified time. The subject area is Newton's laws of motion.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants explore whether the problem can be solved without knowing the time. Some suggest treating time as an unknown variable and expressing mass and acceleration as functions of time. Others question the completeness of the problem statement.

Discussion Status

The discussion is active, with participants providing different perspectives on how to approach the problem. Some have suggested expressing the mass and acceleration in terms of time, while others have reiterated the importance of the problem's wording. There is a sense of collaborative exploration without a clear consensus on a final method.

Contextual Notes

Participants note the absence of time as a critical piece of information, which may affect how the problem is approached. The original poster confirms that the problem is stated exactly as it appears in the book.

annedi
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A constant force of 40 N acts on an object that is initially at rest on a smooth, horizontal surface. The object is observed to move a distance of 5.0m.

a.) what is the object's mass?
b.) what is the acceleration?

I can't seem to know what to do here. Can I solve this problem without given time. I am completely lost. can you please help me here
 
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annedi said:
Can I solve this problem without given time.
Can you write the general equations for mass and acceleration? Occasionally you will run into problems for which a specific numerical answer is not asked of you. You have stated that time is not given, so this might be such a problem.
 
Are you quite sure there is no other information? Have you stated the problem word for word?
 
Yes, I have.. These are the exact words written in the book
 
Bystander said:
Can you write the general equations for mass and acceleration? Occasionally you will run into problems for which a specific numerical answer is not asked of you. You have stated that time is not given, so this might be such a problem.
I don't know if this would really help but I'm dealing here "Newton's 2nd Law of Motion" so the formula here is F=ma..
 
haruspex said:
Are you quite sure there is no other information? Have you stated the problem word for word?
Yes, I have. these are the exact words on the book
 
annedi said:
Yes, I have. these are the exact words on the book
Then you should do as Bystander suggests. Treat time as an unknown. Label it t. Proceed to solve the problem. The result should be the object's mass expressed as function of t and its acceleration, expressed as a function of t.
 
You are not told how long it takes the object to move 5 meters? Then the best you can do is find the mass and acceleration as functions of that time.
 
would this mean..
vf=(5.0m/Time)
a=(5.0m / time^2)
m= F/a
m=40N time^2/5.0m

is this right??
 
  • #10
Can you post a scan of the page in the book?
 
  • #11
X(t)=0.5at^2 (the body is starting with no initial speed)=5(m)
a=10\t^2
F=40(N)=ma(Newton 2nd law)
by positioning of the value of acceleration we found in the new equation. and also transport members we found the mass
m=4t^2
the two values that you found dependent on the value of the time that it takes the body to move those 5 meters...
 
  • #12
DaniV said:
X(t)=0.5at^2 (the body is starting with no initial speed)=5(m)
a=10\t^2
F=40(N)=ma(Newton 2nd law)
by positioning of the value of acceleration we found in the new equation. and also transport members we found the mass
m=4t^2
the two values that you found dependent on the value of the time that it takes the body to move those 5 meters...
oh yeah.. i get it now.. i was a little confused with the formula a while ago.. THANKS A LOT FOR THE HELP ;)
 
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