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Consider the situation depicted in the diagram. Assume that there is no friction between m₂ and the incline, that m₂ = 2.4 kg, m₁ = 1.4 kg, the radius of the pulley is 0.10 m, the moment of inertia of the pulley is 4.7 kg m², and θ = 24.0°.

a) Find the combined mechanical energy of both masses the instant the masses are released (at the shown position- choose the initial position for each of the masses as a reference point for that mass when calculating the gravitational potential energy).

b) What is the new gravitational potential energy of m₂ once it moves 0.8 m up the incline?

c) What is the overall mechanical energy of the system once m₂ moves 0.8 m up the incline?

d) What is the speed of the masses at that position?

Use 10 N/kg for g.

1143_Two masses and incline.png

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