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

[girlsnguitars]

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

 

[tiny-tim]

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!

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

Just use KE + PE = constant.

 

[Perillux]

@girlsnguitars
Hi,
would you mind posting your answer when, or if, you get it? Thanks