Magnitude of momentum between each pair of adjacent locations

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SUMMARY

The discussion focuses on calculating the change in the magnitude of momentum between adjacent locations B and C using vector analysis. The momentum vectors are given as ~pB = (2.03, 2.83, 0) kg·m/s and ~pC = (1.55, 0.97, 0) kg·m/s. To find the change in magnitude, one must treat these values as vectors, subtract the components of B from C, and apply the magnitude formula: magnitude = √(x² + y²). This simplifies the problem to a two-dimensional analysis due to the zero z-components.

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Axking
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Homework Statement



You will calculate the change in the magnitude of momentum between each pair of adjacent locations. Begin by calculating ∆ |~pBC|,the change between locations B and C

~pB = 2.03, 2.83, 0 kg · m/s
~pC =1.55, 0.97, 0 kg · m/s
~pD = 2.24, −0.57, 0 kg · m/s
~pE = 7.97, −1.93, 0 kg · m/s

Homework Equations



magnitude = sqaretoot(x^2 + y^2+z^2)

The Attempt at a Solution



The momentum is given above, so I am confused If i need to see them as vectors, calculate magnitude of the B and C and just subtract?

Thank you for your input
 
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Axking said:

Homework Statement



You will calculate the change in the magnitude of momentum between each pair of adjacent locations. Begin by calculating ∆ |~pBC|,the change between locations B and C

~pB = 2.03, 2.83, 0 kg · m/s
~pC =1.55, 0.97, 0 kg · m/s
~pD = 2.24, −0.57, 0 kg · m/s
~pE = 7.97, −1.93, 0 kg · m/s

Homework Equations



magnitude = sqaretoot(x^2 + y^2+z^2)

The Attempt at a Solution





The momentum is given above, so I am confused If i need to see them as vectors, calculate magnitude of the B and C and just subtract?

Thank you for your input
Hi Axking. http://img96.imageshack.us/img96/5725/red5e5etimes5e5e45e5e25.gif

I would interpret ~pB = 2.03, 2.83, 0 [/size]

to be a vector, of x value = +2.03, y value = +2.83, and z value = 0

Since all your z values are = 0, the 3D task simplifies to a 2 dimensional task in x and y.

The vector difference in going from (2.03, 2.83) to (1.55, 0.97) can be determined by subtracting components. Once you have determined these differences as an ordered pair, then apply your square-root formula.
 
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