What is the New Speed of a 15,500kg Train?

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A 10,500kg railroad car traveling at 15.0 m/s on a frictionless track has an additional 5,000kg load dropped onto it. Using the conservation of momentum equation, the initial momentum is calculated as 157,500 kg·m/s. After the load is added, the total mass becomes 15,500kg, leading to a new speed of approximately 10.2 m/s. The calculations confirm that the new speed after the load is dropped is indeed correct. The discussion concludes with agreement on the accuracy of the solution.
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A 10,500kg railroad car travels alone on a level, frictionless track with a constant speed of 15.0 m/s. An additional 5,000kg load is dropped from a tower onto the car. What will then be its new speed?



2. Homework Equations

Momentum of conservation: m1i+m2i=(m1+m2)vf





3. The Attempt at a Solution

Plugging in the numbers i get:

10,500kg(15m/s) + 0 = (10,500 kg+5000 kg)vf

157500kgm/s+0=(15,500kg)vf
10.16 m/s=vf
vf=10.2m/s

is this correct?
 
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princessfrost said:
is this correct?
[/b]

Looks good to me.
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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