Impulse from position time graph

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SUMMARY

The discussion centers on the concept of impulse in physics, specifically in relation to a position-time graph indicating uniform motion. Participants clarify that impulse is defined as the change in momentum, expressed mathematically as m∆v, where ∆v represents the change in velocity. Since the velocity remains constant between t=0 and t=2 seconds, the impulse at t=2 seconds is zero, as there is no change in momentum. The conversation emphasizes the distinction between impulse and momentum, confirming that impulse is indeed the change in momentum.

PREREQUISITES
  • Understanding of basic physics concepts, particularly momentum and impulse.
  • Familiarity with the equations of motion, specifically m∆v and F=m(dv/dt).
  • Knowledge of uniform motion and its implications on velocity.
  • Ability to interpret position-time graphs in the context of kinematics.
NEXT STEPS
  • Study the relationship between impulse and momentum in detail.
  • Learn about the implications of uniform motion on force and impulse calculations.
  • Explore advanced kinematics topics, including acceleration and its effects on impulse.
  • Review real-world applications of impulse in collision and impact scenarios.
USEFUL FOR

Students studying physics, educators teaching kinematics, and anyone interested in understanding the principles of impulse and momentum in motion analysis.

Jahnavi
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Homework Statement


impulse.jpg


Homework Equations

The Attempt at a Solution



I think none of the options are correct . It is a uniform motion between t=0 and t=2 sec. Velocity is constant .

Impulse is given by m∆v .Since ∆v = 0 , impulse is zero at t= 2 sec .

Is that correct ?
 

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Jahnavi said:
Impulse is given by m∆v .Since ∆v = 0 , impulse is zero at t= 2 sec .

Is that correct ?

Unfortunately not. The impulse is the product of mass and velocity. ##m\Delta v## is the change in momentum ##\Delta p##, from which you can calculate the acting force, if you know the time of the velocity change (##F=m\frac{dv}{dt}##).
 
stockzahn said:
The impulse is the product of mass and velocity. ##m\Delta v## is the change in momentum ##\Delta p##

Sorry . This is conceptually wrong .

Product of mass and velocity is momentum . Impulse is change in momentum .
 
Jahnavi said:
It is a uniform motion between t=0 and t=2 sec. Velocity is constant .
This is not the question. The question is what the impulse given at t = 2 s is.
 
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Jahnavi said:
Sorry . This is conceptually wrong .

No it is not.
Product of mass and velocity is momentum . Impulse is change in momentum .
Which means that the change in momentum (with constant mass) is the mass multiplied by the change in velocity, i.e., ##\Delta p = m\, \Delta v##, just as stated in #2.
 
Orodruin said:
This is not the question. The question is what the impulse given at t = 2 s is.

You are right . Thanks !
 
Jahnavi said:
Sorry . This is conceptually wrong .

Product of mass and velocity is momentum . Impulse is change in momentum .

Yes you are right, I'm sorry - language problem.
 
Orodruin said:
No it is not

It is .

Please read post#2 again . I objected to the definition of impulse .
 
stockzahn said:
Yes you are right, I'm sorry - language problem.

No problem :smile:
 

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