How Does Ramp Angle Affect the Maximum Height Reached by a Block?

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The discussion focuses on how the ramp angle affects the maximum height a block reaches when shot up a slope. A block is initially shot up a 40-degree frictionless slope, reaching height h, and then shot up a 20-degree slope with the same speed. Participants suggest using the conservation of energy principle, specifically kinetic energy (KE) and potential energy (PE), to determine the height without needing to calculate speed directly. The conversation emphasizes the importance of understanding energy conservation in relation to different angles. Overall, the key takeaway is that the ramp angle influences the height reached, and energy conservation can simplify the analysis.
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Homework Statement


A block is shot up a frictionless 40degree slope with intial speed v. It reaches height h before sliding back down. The same block is shot with the same speed up a frictionless 20 degree slope. On this new slope, the block reaches height?


Homework Equations



1/2 mv^2 I'm not sure how to transfer this equation for speed and height when dealing with angles



The Attempt at a Solution

 
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girlsnguitars said:
A block is shot up a frictionless 40degree slope with intial speed v. It reaches height h before sliding back down. The same block is shot with the same speed up a frictionless 20 degree slope. On this new slope, the block reaches height?
…
1/2 mv^2 I'm not sure how to transfer this equation for speed and height when dealing with angles

Hi girlsnguitars! :smile:

You don't need speed (except that you want the height at which the speed is zero :wink:).

Just use KE + PE = constant. :smile:
 
@girlsnguitars
Hi,
would you mind posting your answer when, or if, you get it? Thanks
 
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