Energy Conservation: K0 + V0 = K1 + V1

[nysnacc]

Homework Statement

Homework Equations

U_initial = U_final

The Attempt at a Solution

K_0 = 10 m/s
K_1 = 0 m/s (at peak)

V_0 = mgh_0
V_1 = mgh_1

1/2 mv₀² + mgh₀ = 1/2 mv₁² + mgh₁

 

[billy_joule]

V_0 = mgh_0
V_1 = mgh_1

I'm not sure what you mean here, velocity does not equal energy so those equations are dimensionally inconsistent.
Your final equation is correct and can be used to solve all three questions. Just plug in the appropriate values for each question.

 

[Orodruin]

I'm not sure what you mean here, velocity does not equal energy so those equations are dimensionally inconsistent.

I believe he is using V to denote potential energy, not velocity.

 

[nysnacc]

I believe he is using V to denote potential energy, not velocity.

Yes, potential energy, sorry for the misleading. I used the notation in my book.

 

[haruspex]

Yes, potential energy, sorry for the misleading. I used the notation in my book.

So what is stopping you from applying the equation? What is it that you do not understand?