Magnitude of Momentum, relative to the center of mass

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SUMMARY

The discussion focuses on calculating the speed of a heavier particle approaching the center of mass and the momentum of a lighter particle relative to that center of mass. The correct speed of the heavier particle, derived from the equation m1v1 + m2v2 / (m1 + m2), is 1.29854 m/s. For the momentum calculation, the user initially miscalculated the momentum of the lighter particle as 0.006402 Ns, failing to account for the velocity of the lighter particle relative to the center of mass, which is essential for an accurate result.

PREREQUISITES
  • Understanding of momentum (P = mv)
  • Familiarity with the concept of center of mass
  • Basic knowledge of mass and velocity units (kg, m/s)
  • Ability to perform calculations involving multiple particles
NEXT STEPS
  • Calculate the velocity of particles relative to the center of mass
  • Explore the concept of conservation of momentum in collisions
  • Learn about the implications of mass and velocity in momentum calculations
  • Study examples of center of mass in multi-particle systems
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Students studying physics, particularly those focusing on mechanics and momentum, as well as educators looking for practical examples of center of mass calculations.

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Homework Statement


A 4.39 g particle is moving at 4.15 m/s toward a stationary 9.64 g particle.

(a)With what speed does the heavier particle approach the center of mass of the two particles?
Answer in units of m/s.

(b) What is the magnitude of the momentum of the lighter particle, relative to the center of mass?
Answer in units of Ns.

Homework Equations


m1v1+m2v2/m1+m2

and

P=mv


The Attempt at a Solution


I got part (a) by using m1v1+m2v2/m1+m2
where v2 is zero

so I got 1.29854 m/s which is right (this is a online homework assignment)

for part (b) I thought it was the mass of m1= 4.39 g= 0.00439 kg

and I times it by the speed I found from part (a) but the number I'm getting isn't right (0.006402 Ns)

so what am I doing wrong?
 
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You found the speed of the centre of mass with respect to the ground. Calculate the velocity of the lighter particle with respect to the centre of mass.

ehild
 
ehild said:
You found the speed of the centre of mass with respect to the ground. Calculate the velocity of the lighter particle with respect to the centre of mass.

ehild

oh yes, thanks!
 

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