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

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In summary, we are trying to determine the height reached by a block shot up a frictionless 20 degree slope with initial speed v, given that it reaches height h before sliding back down a 40 degree slope. We can use the equation KE + PE = constant and the fact that the final speed is zero to solve for the height on the new slope.
  • #1
girlsnguitars
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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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  • #2
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:
 
  • #3
@girlsnguitars
Hi,
would you mind posting your answer when, or if, you get it? Thanks
 

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

How do you calculate the height of a ramp?

To calculate the height of a ramp, you will need to use the formula: height = length x sin(angle), where the length is the distance from the bottom of the ramp to the top and the angle is the angle of inclination of the ramp.

What is the angle of inclination for a ramp?

The angle of inclination for a ramp is the angle between the ramp and the ground. It is typically measured in degrees or radians.

How do you measure the length of a ramp?

To measure the length of a ramp, you can simply use a measuring tape or ruler to measure the distance from the bottom of the ramp to the top. Make sure to measure along the slope of the ramp, not just the horizontal distance.

Can you calculate the height of a ramp without knowing the angle of inclination?

No, you cannot calculate the height of a ramp without knowing the angle of inclination. The angle is a crucial component in the formula for calculating height.

Why is it important to calculate the height of a ramp?

Calculating the height of a ramp is important because it allows you to determine if the ramp is safe and accessible for individuals who may use it, such as wheelchair users. It also helps in designing and building ramps that meet safety standards and regulations.

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