I know I have to use mgh to solve this, and I am not sure if I can solve this us

Question

I know I have to use mgh to solve this, and I am not sure if I can solve this using conservation of energy or not. Any light you can help will be greatly appreciated. I know normal forces amount to zero but am puzzled by the setup.

A box of mass m starts from rest on a horizontal surface on a planet with acceleration of gravity g. Wind applies a constant force Fw on the box. After travelling a distance d on the horizontal plane the box goes up a ramp, with some angle theta. Find hmax for the box before coming to rest. No friction.

Many thanks.. full points for a good illustration of set up.

Explanation / Answer

first we have to find velocity of the block at the base of the incline

v^2-u^2=2as

v^2-0=2*(Fw/g)*d

v^2=2Fw*d/g

considering base as datum

then by using the conservation of energy

energy at base =energy at highest point

1/2mv^2=mg(Hmax)

Hmax=v^2/2g

Hmax= 2Fw*d/g^2

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