Very basic, short impulse problem. Just need some explanation.

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SUMMARY

The impulse applied by the Sun to the Earth over a six-month period is definitively calculated as 2P, where P represents the magnitude of the Earth's momentum. This conclusion arises from the change in momentum direction, as the Earth transitions from moving in the positive x direction to the negative x direction. The key principle applied here is that impulse equals the change in momentum (Δmomentum), which is clearly illustrated by the Earth's momentum changing from P to -P.

PREREQUISITES
  • Understanding of basic physics concepts, specifically momentum and impulse.
  • Familiarity with the equation for impulse: Impulse = Δmomentum.
  • Knowledge of vector direction and its impact on momentum.
  • Basic algebra skills for manipulating equations.
NEXT STEPS
  • Study the relationship between impulse and momentum in classical mechanics.
  • Explore examples of impulse in different physical systems, such as collisions.
  • Learn about vector analysis in physics, focusing on direction changes.
  • Investigate the implications of impulse in celestial mechanics.
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Students studying physics, particularly those focusing on mechanics, as well as educators seeking to clarify concepts of impulse and momentum in a practical context.

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Homework Statement


If the magnitude of the Earth's momentum is P, what is the magnitude of the impulse that the sun applies to the Earth during six months?


Homework Equations





The Attempt at a Solution


I know the solution is 2P, and I'm pretty sure it's just due to the change in direction that would occur when looking at the different time steps; when t =0, the Earth (we can assume) is moving in the positive x direction, and at t= 6 months, the Earth is moving in the negative x direction, so | m*(-v) - m*v | = 2mv or 2P. Is this adequate?
 
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Sounds like you understand it just fine. The key physics is understanding that impulse = Δmomentum. And that the momentum of the Earth changes from P to -P over six months.
 
Doc Al said:
Sounds like you understand it just fine. The key physics is understanding that impulse = Δmomentum. And that the momentum of the Earth changes from P to -P over six months.

OK, thanks. Just wanted to be sure, because I often confuse |ΔP| with Δ|P|.
 

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