Magnitude of momentum between each pair of adjacent locations

In summary, the task is to calculate the change in the magnitude of momentum between each pair of adjacent locations, using the given vectors ~pB, ~pC, ~pD, ~pE. Since all z values are 0, the task can be simplified to a 2D task in x and y. Subtract the components of each vector pair, then apply the magnitude formula to determine the change in magnitude.
  • #1
Axking
1
0

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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  • #2
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

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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Related to Magnitude of momentum between each pair of adjacent locations

1. What is the significance of the magnitude of momentum between adjacent locations?

The magnitude of momentum between adjacent locations is a measurement of the amount of momentum that is transferred between the two locations. It can help us understand the rate of change in momentum and how it affects the movement of objects.

2. How is the magnitude of momentum calculated between two adjacent locations?

The magnitude of momentum is calculated by multiplying the mass of an object by its velocity. This calculation is done separately for each location and then compared to determine the magnitude of momentum between the two locations.

3. Can the magnitude of momentum change between two adjacent locations?

Yes, the magnitude of momentum can change between two adjacent locations. This can occur if there is a change in the mass or velocity of an object, or if an external force is applied to the object.

4. How does the magnitude of momentum affect the motion of objects between adjacent locations?

The magnitude of momentum plays a crucial role in determining the motion of objects between adjacent locations. A larger magnitude of momentum means that there is a greater force acting on the object, which can result in a change in its velocity and direction of motion.

5. How is the concept of conservation of momentum related to the magnitude of momentum between adjacent locations?

The concept of conservation of momentum states that the total momentum of a closed system remains constant. This means that the magnitude of momentum between two adjacent locations will also remain constant, unless there are external forces acting on the system. This concept is often used to analyze collisions between objects.

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