Conservation of Energy, Velocity, Ramp, Angle

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SUMMARY

The discussion centers on the conservation of energy principle applied to a car on a ramp inclined at an angle θ. The user seeks confirmation on whether the angle affects the car's velocity upon impact with a wall. The energy equation E = E' is utilized, leading to the conclusion that the velocity must account for the angle, specifically through the relationship v = v*cos(θ) when considering momentum. The acceleration parallel to the ramp is defined as a = g sin(θ), confirming the angle's significance in the calculations.

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Homework Statement


This isn't really coursework or homework, but something I really want to confirm.

There is a ramp of height h on an angle θ that a car is placed on that leads to a wall perpendicular to the ground (looks like this: |∠). When calculating velocity of the car when it hits the wall using E = E', do I need to account for θ?

Every instinct I have says yes, but I want confirmation.


Homework Equations


E = E'


The Attempt at a Solution


E = E'
mgh = 1/2 mv^2

Solve for v .. doesn't really matter what it is.

Is the velocity of the car in a momentum equation (p = mv) equal to v or is it equal to v*cosθ?
 
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You have to take the angle the acceleration parallel to the ramp is a = v'(t)= g sin(theta)

Integrate it to get the result.
 

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