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The power of the chain motor on a roller coaster lift hill is 4 kW.It takes 50 seconds for the chain to take a train to the top of the lift hill.Calculate the work done when the train reaches the top of the lift hill.Work done = _____

Question

The power of the chain motor on a roller coaster lift hill is 4 kW.It takes 50 seconds for the chain to take a train to the top of the lift hill.Calculate the work done when the train reaches the top of the lift hill.Work done = _____

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Solution

The work done can be calculated using the formula:

Work Done = Power x Time

Given that the power of the chain motor is 4 kW and it takes 50 seconds for the chain to take a train to the top of the lift hill, we can substitute these values into the formula:

Work Done = 4 kW x 50 s

However, we need to convert the power from kilowatts to watts because the standard unit of work done is in Joules and 1 kilowatt equals 1000 watts. So, the power is 4000 watts.

Work Done = 4000 W x 50 s

Work Done = 200,000 Joules

So, the work done when the train reaches the top of the lift hill is 200,000 Joules.

This problem has been solved

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