Two Objects Sliding on a Frictionless Surface

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Two objects of different masses sliding on a frictionless surface at the same speed will rise to the same height when they leave the surface, as their potential energy is dependent only on their speed and not their mass. The discussion clarifies that the initial question contained a typo regarding the objects sliding "off" the surface, which is crucial for understanding the scenario. Participants emphasize the importance of showing work and using appropriate equations to analyze the problem. Overall, the consensus is that mass does not affect the height reached in this context. Understanding the mechanics of energy conservation is key to solving the problem effectively.
FilthyOtis
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Homework Statement



Well I figured out the first problem I had posted so here's a new one :)

If two objects of different masses are sliding along a frictionless surface at the same speed and they both slide of the same frictionless surface. which rises to a greater height?

I want to say they both go to the same height. or does the lighter of the two go further because it has less force acting upon it while going up the hill?

thank you- Otis
 
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FilthyOtis said:

Homework Statement



Well I figured out the first problem I had posted so here's a new one :)

If two objects of different masses are sliding along a frictionless surface at the same speed and they both slide of the same frictionless surface. which rises to a greater height?

I want to say they both go to the same height. or does the lighter of the two go further because it has less force acting upon it while going up the hill?

thank you


- Otis


Sorry, your question doesn't make sense to me. If they are sliding on a surface, how do they rise? Is there a tilt in the surface?

And what equations would you use to figure this out? There are several ways to approach it -- please show us some of your work using one of the approaches...
 
What FilthyOtis (feels weird saying that) was trying to say was:

FilthyOtis said:
... If two objects of different masses are sliding along a frictionless surface at the same speed and they both slide OFF the same frictionless surface. which rises to a greater height?...

I had to read it over about 4 times before figuring out it was a typo.

But yeah like berkeman said, post the work you've done so far so we could help you.
 
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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