- #1
CL1349
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Homework Statement
An ice cube is given a push at the top of an incline giving it an initial speed of 7 m/s down the incline. At the bottom of the incline the ice cube is deflected vertically upward as shown in the accompanying diagram. Ignoring friction and air resistance, how high H does the ice cube go above the floor before falling back down?
Note: Solve using work/energy considerations
The problem with a graph of it is attached.
Homework Equations
W = Ef - Ei
Ef = Ei
The Attempt at a Solution
I set the work equal to zero, and set the initial energy equal to the final energy. I worked the equation around and came up with
mgh = 1/2 mv^2 + mgh
mg(4m) = 1/2 m (Vf) ^2 + mg( 0 m)
I solved for final velocity with Vf = square root( 2gh), square root (2 * 9.8 m/s2 * 4 m)
I got 8.85 m/s for final velocity. I don't know if this is right or not. But how can I rearrange the work/energy theorem to find the H?