11. An ideal gas engine go through a three step cycle as show in the following P-V diagram. What is the heat absorbed by the engine in every cycle? (1atm = 10⁵ N/m²) (A) 0.386 J (B) 38.6 J (C) 4J (D) 0.2J (E) 10J.

3. A solid sphere of mass m and radius r moves along a track with a circular loop of radius R1 as shown in following picture. It is released at height h. Assuming that the track has no friction, the ball thereforeslides down without rotation. Do not ignore the finite size of the sphere, what is the minimal value of h such that the sphere remains on the track at all times? (A) 2.5R − 1.5r (B) 2R − r (C) 2.5R (D) 2R + r (E) 2R − 1.5r

11. An ideal gas engine go through a three step cycle as show in the following P-V diagram. What is the heat absorbed by the engine in every cycle? (1atm = 10⁵ N/m²)

(A) 0.386 J
(B) 38.6 J
(C) 4J
(D) 0.2J
(E) 10J.

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