How to calculate the height of a skier

[JiJiasd]

Homework Statement

I want to calculate the height h of the skier in this figure

Homework Equations

potential energy and kinetic energy and there is no friction

The Attempt at a Solution

mgh = 0,5 *m*v^2
v=√ (2*g*h)

Now calculate the h when he goes up

mgh= 0,5 *m*√ (2*g*h)^2


Am I doing right ?

Thanks


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[tommyxu3]

Now calculate the h when he goes up

mgh= 0,5 *m*√ (2*g*h)^2

What you got is an identity. You need more information of the person on the top of the hill to get his condition, such as velocity~

 

[Replusz]

mgh = 0,5 *m*v^2
v=√ (2*g*h)
This is right but after this, only calculate with its vertical component (v*sin(28 deg)), when calculating h.

 

[Replusz]

What you got is an identity. You need more information of the person on the top of the hill to get his condition, such as velocity~

These informations are enough, you don't need more!

 

[Replusz]

You only got an identity, because you didnt calculate with the right component of speed.

 

[JiJiasd]

thank you all

 

[haruspex]

You need to be careful with 'h'. There is a specific height in the problem which is labelled h, and there is the generic h in the equation gh=v²/2. Don't get them mixed up.
First, find the velocity at the launch point.