What was the velocity of the Honda

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In a chain reaction car accident, a BMW collides elastically with a stationary Honda Civic, which then collides inelastically with a stationary Hummer. The final speed of the Honda and Hummer together is 3 m/s after they lock bumpers. Participants discuss the correct approach to calculate the Honda's velocity after the first collision, emphasizing the need to apply conservation laws for both elastic and inelastic collisions. There is confusion about which equations to use, with suggestions to diagram the scenario and clarify the principles involved. The conversation indicates that the Honda's velocity may be approximately 9.09 m/s after the first collision.
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In a chain reaction car accident on the North-South tollway, a BMW with a mass of 2000 kg collides elastically with a Honda Civic (mass 1500 kg) at rest. The Honda in turn collides with a Hummer of mass 3000 kg in front of it, that’s also at rest, and the Honda and the Hummer lock bumpers and slide forward with a velocity of 3 m/s. (The BMW that originated the chain of events is not involved in the second collision). What was the velocity of the Honda right after the first collision and before it hits the Hummer?

My attempt: V=MA/MA+MB

(2000kg)(0m/s)+(1500)(3m/s)+(3000kg)(3m/s) / 1500kg+3000kg
Is this correct??
 
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My attempt: V=MA/MA+MB
Can't have this - units of m/s on the left, kg on the last term on the right.
So, there is an elastic collision and then an inelastic collision, ending up with speed 3. Which collision will you start with? What equation(s) apply to each collision?
 


Delphi51 said:
Can't have this - units of m/s on the left, kg on the last term on the right.
So, there is an elastic collision and then an inelastic collision, ending up with speed 3. Which collision will you start with? What equation(s) apply to each collision?

You would start with the elastic collision? I don't understand which equation to use
 


I am reluctant to say which end I would start at! Far better for you to see which way to go. I think you will when you write out the equations.

Do you know what principle applies to all collisions?
And which one applies only to elastic collisions?
These should be easy to find in your textbook or in
http://hyperphysics.phy-astr.gsu.edu/hbase/conser.html#cons
Once you know the conservation law(s) that apply, you will be able to write equations for them. I suggest a diagram with appropriate names for things like the speed and mass of the Honda, etc.
 


Delphi51 said:
I am reluctant to say which end I would start at! Far better for you to see which way to go. I think you will when you write out the equations.

Do you know what principle applies to all collisions?
And which one applies only to elastic collisions?
These should be easy to find in your textbook or in
http://hyperphysics.phy-astr.gsu.edu/hbase/conser.html#cons
Once you know the conservation law(s) that apply, you will be able to write equations for them. I suggest a diagram with appropriate names for things like the speed and mass of the Honda, etc.

Is it 9.09?
 


I got a number close to that, but not the same.
Did you start with the last collision? Equation?
 
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