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

AI Thread Summary
The problem involves calculating the impulse applied by the sun to the Earth over six months, with the solution determined to be 2P. This is derived from the change in momentum as the Earth's direction reverses from positive to negative along the x-axis. The key concept discussed is that impulse equals the change in momentum (Δmomentum), which in this case changes from P to -P. There is a clarification on the distinction between |ΔP| and Δ|P|, emphasizing the importance of understanding these terms in physics. The explanation confirms a solid grasp of the underlying principles.
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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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