How do you find the magnitude of acceleration?

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SUMMARY

The magnitude of acceleration for a block on a frictionless surface can be calculated using the formula A = F_net / m, where F_net is the total net force acting on the block and m is the mass. In the discussed scenario, with a force F = 4.0 N and mass m = 2.0 kg, the user initially confused gravitational force with horizontal acceleration. It is crucial to draw a free body diagram to identify all forces acting on the block, especially when multiple forces are involved. The correct approach involves breaking down forces into their X- and Y-components to find the net force accurately.

PREREQUISITES
  • Understanding of Newton's Second Law (F = MA)
  • Ability to draw and interpret free body diagrams (FBD)
  • Knowledge of vector components in physics
  • Familiarity with frictionless surface dynamics
NEXT STEPS
  • Study how to draw and analyze free body diagrams (FBDs)
  • Learn about vector decomposition and how to break forces into X- and Y-components
  • Review examples of calculating net force in multi-force scenarios
  • Explore video tutorials on Newton's laws and their applications in physics problems
USEFUL FOR

Students studying physics, particularly those struggling with dynamics and force analysis, as well as educators looking for effective teaching strategies in explaining acceleration concepts.

mikelison womack
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Homework Statement


. If F = 4.0 N and m = 2.0 kg, what is the magnitude a of the acceleration for the block shown below? The surface is frictionless.
image001.gif


Homework Equations


F=MA +/- Mg

The Attempt at a Solution


19.6[/B]
 

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mikelison womack said:
3. The Attempt at a Solution
19.6

Please show your work so we can identify where you've gone wrong.
 
I really just multiplied the mass and the acceleration due to gravity and that was it .
 
mikelison womack said:
I really just multiplied the mass and the acceleration due to gravity and that was it .
Umm.. that shows you have not understood the question.
Your calculation finds the downward force that gravity exerts on the block. You are asked to find a horizontal acceleration, not a force, and not downward.
Can you draw a free body diagram, showing all the forces on the block?
 
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haruspex said:
Umm.. that shows you have not understood the question.
Your calculation finds the downward force that gravity exerts on the block. You are asked to find a horizontal acceleration, not a force, and not downward.
Can you draw a free body diagram, showing all the forces on the block?

i can draw the free body diagram but i still fail to understand what's going on.
 
mikelison womack said:
i can draw the free body diagram but i still fail to understand what's going on.
Please either post the diagram or describe it in detail.
 
haruspex said:
Please either post the diagram or describe it in detail.

Is there a specific formula to calculate the acceleration in this case.
 
mikelison womack said:

Homework Statement


. If F = 4.0 N and m = 2.0 kg, what is the magnitude a of the acceleration for the block shown below? The surface is frictionless.View attachment 235121
Are there two 4.0N forces acting on the block, as the drawing suggests? If so, those are the forces you need to account for, not the force due to gravity (the block is on a frictionless surface).
mikelison womack said:

Homework Equations


F=MA +/- Mg

The Attempt at a Solution


19.6[/B]
 
Mark44 said:
Are there two 4.0N forces acting on the block, as the drawing suggests?

no
 
  • #10
mikelison womack said:
Is there a specific formula to calculate the acceleration in this case.
No. Please post or describe the FBD as requested.
 
  • #11
mikelison womack said:
no
So which one should not be there?
 
  • #12
the one showing the angle
haruspex said:
So which one should not be there?
 
  • #13
Mark44 said:
Are there two 4.0N forces acting on the block, as the drawing suggests?

mikelison womack said:
no
Then why does the drawing show two forces? As @haruspex said, which one shouldn't be there?
 
  • #14
Mark44 said:
Then why does the drawing show two forces? As @haruspex said, which one shouldn't be there?[/QUOTE
I don't know
 
  • #15
Mark44 said:
Are there two 4.0N forces acting on the block, as the drawing suggests?

mikelison womack said:
no

If that diagram is directly from your problem, then it appears that there is indeed 2 forces, each of 4 N, being applied to the block.

mikelison womack said:
Is there a specific formula to calculate the acceleration in this case.

The formula doesn't change from problem to problem. It's just the normal acceleration formula ##A=\frac{F_{net}}{M}##. But you have to find the total net force, not just the individual forces.
 
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  • #16
Drakkith said:
If that diagram is directly from your problem, then it appears that there is indeed 2 forces, each of 4 N, being applied to the block.
The formula doesn't change from problem to problem. It's just the normal acceleration formula ##A=\frac{F_{net}}{M}##. But you have to find the total net force, not just the individual forces.
so when you say find the total net force i need to add all the forces acting on the object?
 
  • #17
mikelison womack said:
so when you say find the total net force i need to add all the forces acting on the object?

Of course. But remember that forces only directly sum together if they are pointing in the same direction. Which they are not in this problem. How do you add two forces together that aren't pointing in the same direction?
 
  • #18
Drakkith said:
Of course. But remember that forces only directly sum together if they are pointing in the same direction. Which they are not in this problem. How do you add two forces together that aren't pointing in the same direction?

I have no clue.
 
  • #19
mikelison womack said:
I have no clue.

Break the forces down into their X- and Y- components. Do you know how to do that?
 
  • #20
Drakkith said:
Break the forces down into their X- and Y- components. Do you know how to do that?
Nope, I don't have the best physics teacher
 
  • #21
mikelison womack said:
Nope, I don't have the best physics teacher

Unfortunately it's not particularly easy to explain over a forum. Give this video a look and see if it helps:



Feel free to ask if you have any questions about this process.
 
  • #22
Drakkith said:
Unfortunately it's not particularly easy to explain over a forum. Give this video a look and see if it helps:



Feel free to ask if you have any questions about this process.

Okay, thank you.
 
  • #23
mikelison womack said:
Okay, thank you.
is there an equation for magnitude.
 
  • #24
mikelison womack said:
is there an equation for magnitude.

Magnitude of what?
 
  • #25
Drakkith said:
Break the forces down into their X- and Y- components. Do you know how to do that?

mikelison womack said:
Nope, I don't have the best physics teacher
Do you have a textbook? Any halfway decent book would have some worked examples like the problem you posted.
 

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