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Sergio [31]
3 years ago
12

(Power Cycle)​ Your new boss announces at a team meeting that she has developed atechnology that will perform a power cycle that

operates between hot and cold reservoirs at 902 °C and 22 °C that produces a power output of 28 kW while receiving 150,000 kJ/hof energy via heat transfer from the hot reservoir. You are suspicious that this cyclesounds too good to be true, so you decide to check. What do you find
Physics
1 answer:
Angelina_Jolie [31]3 years ago
8 0

Answer:

answered

Explanation:

The maximum possible efficiency is  

\eta= 1-\frac{T_L}{T_H}

\eta= 1-\frac{295}{1175}

= 0.7489

W_out= 28 KW

Q_in= 15000/3600= 41.67 KW

now

\eta= \frac{W_out}{Q_H}

\eta= \frac{28}{41.67} =0.6791

which is less than \eta_{max}

claim is true

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Ans: R = Ball Travelled = 92.15 meters.

Explanation:
First we need to derive that formula for the "range" in order to know how far the ball traveled before hitting the ground.

Along x-axis, equation would be:
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x = x_o + v_o_xt

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x = v_ocos \alpha t --- (A)

Now we need to find "t", and the time is not given. In order to do so, we shall use the y-direction motion equation. Before hitting the ground y ≈ 0 and a = -g; therefore,

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Since v_o_y = sin \alpha; therefore above equation becomes,
t = \frac{2v_osin \alpha }{g}

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Where x = Range = R, and 2sin \alpha cos \alpha = sin(2 \alpha ); therefore above equation becomes:

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Hence,
R = (31)^2 *\frac{sin(2 *35 )}{9.8}

Ans: R = 92.15 meters.

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