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Juliette (m = 59.0 kg) uses a giant kite to pull herself along a smooth surface. A s she approached a ramp, she gains a speed of 11.3 before letting go of the kite and launching off the skate ramp. Using ENERGY equations calculate how high above the ramp she goes (Hint: use the top of the ramp as h1 = 0 m).

Respuesta :

Answer:

   h = 6.41 m

Explanation:

For this exercise we use the law of conservation of energy

starting point. When it's on the ramp

       Em₀ = K = ½ m v²

final point. When it is at the highest height

       Em_f = U = m g h

We assume that when it is at the highest height it will stop and possibly return to the ramp

 

as there is no friction, the energy is conserved

           Em₀ = Em_f

           ½ mv² = m g h

            h = [tex]\frac{1}{2} \frac{v^2}{g}[/tex]

let's calculate

            h = ½ 11.3² / 9.8

            h = 6.41 m