The chain motor on a rollercoaster lift hill has a power of 5 kW. It takes 45 seconds for the chain to take a train to the top of the lift hill.Calculate the energy transferred to the rollercoaster train when it reaches the top of the lift hill.You must include units in your answer.
Question
The chain motor on a rollercoaster lift hill has a power of 5 kW. It takes 45 seconds for the chain to take a train to the top of the lift hill.Calculate the energy transferred to the rollercoaster train when it reaches the top of the lift hill.You must include units in your answer.
Solution
The energy transferred can be calculated using the formula:
Energy = Power x Time
Given that the power is 5 kW and the time is 45 seconds, we first need to convert the power to watts and the time to hours because the standard unit of power in this context is kilowatts (kW) and time is in hours.
1 kW = 1000 W So, 5 kW = 5 * 1000 = 5000 W
1 minute = 60 seconds So, 45 seconds = 45/60 = 0.75 minutes
1 hour = 60 minutes So, 0.75 minutes = 0.75/60 = 0.0125 hours
Now we can substitute these values into the formula:
Energy = 5000 W * 0.0125 hours = 62.5 Wh (Watt-hours)
So, the energy transferred to the rollercoaster train when it reaches the top of the lift hill is 62.5 Wh.
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