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7. What is the kinetic energy when the moving cart is 2/3 the way down (height=5 m) when the total mechanical energy is _____________

Please I need someone to help me with this?!

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Onyebuchinnajiidn

(a) The kinetic energy of the cart when it moves is 2/3 the way down is 1/3mgh.

(b) The total mechanical energy of the cart at the given height of 5 m is 5mg.

Potential energy of the cart

The potential energy of the cart when it is 2/3 way down the given height of 5 m is calculated as follows;

ΔP.E = mghf - mgh₀

ΔP.E = mg(hf - h₀)

ΔP.E = mg(2h/3 - h)

ΔP.E = -¹/₃mgh

Kinetic energy of the cart

ΔK.E = -ΔP.E

ΔK.E = ¹/₃mgh

Total mechanical energy of the cart

M.A = P.E + K.E

M.A = ²/₃mgh + ¹/₃mgh

M.A = mgh

M.A = mg(5)

M.A = 5mg

Learn more about kinetic energy here: https://brainly.com/question/25959744

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