Newtons 2nd Law & Kinetics pt. 2

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SUMMARY

The discussion revolves around solving a physics problem involving a 500kg crate pushed with a 2000N force, countered by a 1900N frictional force. The net force acting on the crate is determined to be 100N, leading to an acceleration of 0.2 m/s². Using kinematic equations, the crate is calculated to move 10 meters in 10 seconds, achieving a final velocity of 2 m/s. The participants clarify the importance of vector addition in determining net forces and acceleration.

PREREQUISITES
  • Understanding of Newton's Second Law of Motion
  • Familiarity with vector addition and subtraction
  • Knowledge of kinematic equations for constant acceleration
  • Basic grasp of frictional forces and their impact on motion
NEXT STEPS
  • Study the application of Newton's Laws in various physical scenarios
  • Learn about vector addition and its significance in physics problems
  • Explore kinematic equations in-depth, focusing on their derivation and applications
  • Investigate the role of friction coefficients in real-world applications
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Students studying physics, educators teaching mechanics, and anyone interested in understanding motion dynamics and force interactions.

jtwitty
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Homework Statement



A 500kg crate is pushed with a 2000N force. The force of the sliding friction acting on the crate is 1900N. How fast will the crate be moving after 10 seconds? How far will it have moved in this time? Determine the net force


Homework Equations



a = \SigmaF/m



The Attempt at a Solution



I tried to find the new force by multiplying 500kg by 10 to get 5000N. Subtracted 5000n frmo 2000n. i don't think negative numbers can be a total force?

2000N-1900N = 100N. ? I don't know what that's used for
 
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jtwitty said:

Homework Statement



A 500kg crate is pushed with a 2000N force. The force of the sliding friction acting on the crate is 1900N. How fast will the crate be moving after 10 seconds? How far will it have moved in this time? Determine the net force


Homework Equations



a = \SigmaF/m



The Attempt at a Solution



I tried to find the new force by multiplying 500kg by 10 to get 5000N. Subtracted 5000n frmo 2000n. i don't think negative numbers can be a total force?

2000N-1900N = 100N. ? I don't know what that's used for

Why would you multiple mass by time to get a force?

You are given the two forces on the crate -- what is the "sum" of those forces? Be sure to include direction in the "sum".

And use your equation that you wrote a = \SigmaF/m

to find the acceleration, which is what you need for the rest of the problem.
 
berkeman said:
Why would you multiple mass by time to get a force?

You are given the two forces on the crate -- what is the "sum" of those forces? Be sure to include direction in the "sum".

And use your equation that you wrote a = \SigmaF/m

to find the acceleration, which is what you need for the rest of the problem.

No i multiplied by 10 (gravity) (we round up frmo 9.8)
 
jtwitty said:
No i multiplied by 10 (gravity) (we round up frmo 9.8)

You are not given the value of the coefficient of friction mu, so you cannot *calculate* the force of friction opposing the pushing motion. Guess you'll just have to figure out that force in a different way...

(Don't let the forest obscure your view of the trees...) :smile:
 
i don't get what you;re saying hahahah

but ok back to the sum of the forces

2000 + 1900? = 3900

idk
 
jtwitty said:
i don't get what you;re saying hahahah

but ok back to the sum of the forces

2000 + 1900? = 3900

idk

Much closer, but remember that the friction force opposes your pushing force. So if you are pushing with a force vector in the +x direction, what direction is the frictional force vector pointing in? And how do you "add" vectors?
 
berkeman said:
Much closer, but remember that the friction force opposes your pushing force. So if you are pushing with a force vector in the +x direction, what direction is the frictional force vector pointing in? And how do you "add" vectors?
idk the word vector :cry:

but i think its pointing in a positive direction?
 
jtwitty said:
idk the word vector :cry:

but i think its pointing in a positive direction?

A vector has magnitude and direction. When two vectors are pointing in opposite directions and you "add" them (like to sum the forces), the resultant vector is the difference in the magnitudes, and points in whichever direction the bigger vector pointed in the first place.

So if you are pushing with 2000N in the +x direction, and the crate's frictional force is pushing in the -x direction with 1900N, what is the resultant vector's magnitude and direction?

You can see the start of this introductory article if you need more info on how to add forces (vectors):

http://en.wikipedia.org/wiki/Vector_addition#Vector_addition_and_subtraction

.
 
it would be poitning in the positive direction b/c its higher by 100N
 
  • #10
jtwitty said:
it would be poitning in the positive direction b/c its higher by 100N

Bingo! So now you know what the sum of the forces is. Use your equation to calculate the acceleration that results, and then just use the kinematic equations of motion (for constant acceleration) to solve the rest of the problem.
 
  • #11
berkeman said:
Bingo! So now you know what the sum of the forces is. Use your equation to calculate the acceleration that results, and then just use the kinematic equations of motion (for constant acceleration) to solve the rest of the problem.

so r u saying that 100N is the net force?

so a = 100 / 500

a = .2 m/s2
 
  • #12
help?
 
  • #13
jtwitty said:
help?

Help why? You are doing fine.
 
  • #14
berkeman said:
Help why? You are doing fine.

i didn't know if i was right or not :(

was i??
 
  • #15
a = .2m/s
d = 1/2 (.2) (100)
d = 10

a = vf /t
.2 = vf /10
2 = vf

done? :) how'd i do
 
  • #16
jtwitty said:
a = .2m/s
d = 1/2 (.2) (100)
d = 10

a = vf /t
.2 = vf /10
2 = vf

done? :) how'd i do

Looks good to me.
 
  • #17
ty man ty :)
 

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