Center of mass and velocity problem

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Homework Help Overview

The discussion revolves around calculating the velocity of the center of mass for two particles with given masses and velocities, specifically focusing on a particle of mass 5.30 kg moving east and another of mass 18.0 kg moving west.

Discussion Character

  • Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants are attempting to apply the center of mass formula, questioning the accuracy of their calculations and the values used in the equation.

Discussion Status

Some participants have identified potential errors in the mass values used in the calculations, suggesting that this may be the source of the incorrect results. There is an ongoing exploration of the correct application of the formula.

Contextual Notes

Participants are encouraged to check their units and signs in the calculations, indicating a focus on ensuring that all components of the equation are correctly represented.

kbyws37
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If a particle of mass 5.30 kg is moving east at 10.0 m/s and a particle of mass 18.0 kg is moving west at 10.0 m/s, what is the velocity of the center of mass of the pair?


I used the equation
Vcm = P/M
Vcm = [(5.70)(10) + (15)(10)] / [(5.70)+(15)]
Vcm = 10 ms

however, it says that is not the correct answer.
I don't understand why. can someone help?
thanks
 
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kbyws37 said:
If a particle of mass 5.30 kg is moving east at 10.0 m/s and a particle of mass 18.0 kg is moving west at 10.0 m/s, what is the velocity of the center of mass of the pair?


I used the equation
Vcm = P/M
Vcm = [(5.70)(10) + (15)(10)] / [(5.70)+(15)]
Vcm = 10 ms

however, it says that is not the correct answer.
I don't understand why. can someone help?
thanks
Re-write your equation with units. Does everything work out? Are you putting the right numbers in the right places? It's hard to tell without units. Are all your signs correct?
 
Vcm = P/M where P is (mass kg)(velocity m/s) and where M is the total mass (kg)

Vcm = [(5.70kg)(10m/s) + (15kg)(10m/s)] / [(5.70kg)+(15kg)]
Vcm = 10 m/s

I'm still getting it wrong.
 
You seem to have put 5.7 kg instead of 5.3 kg and 15 kg instead of 18 kg.
 

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