Each of two Carnot engines uses the same cold reservoir at a temperature of 275 K for its exhaust heat. Each engine receives 1450 J of input heat. The work from either of these engines is used to drive a pulley arrangement that uses a rope to accelerate a 125-kg crate from rest along a horizontal frictionless surface, as shown in the figure. With engine 1 the crate attains a speed of 2.00 m/s, while with engine 2 it attains a speed of 3.00 m/s. Concepts:
(i) With which engine is the change in the crate's energy greater?
(ii) Which engine does more work? Explain your answer.
(iii) For which engine is the temperature of the hot reservoir greater? Calculations: Find the temperature of the hot reservoir for each engine.

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Temperature TH Hot reservoir Engine Oc Cold reservoir Temperature Tc