The power delivered by a machine varies with time. A graph of power (in kW ) on the y-axis versus time (in s ) on the x-axis forms a triangle with vertices at (0 s , 0 kW ) , (10 s , 5 kW ) , and (20 s , 0 kW ) . The total work done by the

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The power delivered by a machine varies with time. A graph of power (in kW ) on the y-axis versus time (in s ) on the x-axis forms a triangle with vertices at (0 s , 0 kW ) , (10 s , 5 kW ) , and (20 s , 0 kW ) . The total work done by the machine during this 20 s interval is

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Correct answer: C. 50 kJ

The total work done is equal to the area under the power-time graph. The graph is a triangle with base = 20 s and height = 5 kW . Convert the peak power to watts: 5 kW = 5000 W . Area = 1 2 base height W = 1 2 20 s 5000 W W = 50000 J = 50 kJ Answer: 50 kJ

The power delivered by a machine varies with time. A graph of power (in kW ) on the y-axis versus time (in s ) on the x-axis forms a triangle with vertices at (0 s , 0 kW ) , (10 s , 5 kW ) , and (20 s , 0 kW ) . The total work done by the machine during this 20 s interval is

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