the rollercoater car is raised to a height of 40m in 35 seconds by an electric motor mass of rollercoaster and passengers is 550kg motor has a power rating of 10 000 W gravitational field strength = 9.8N/Kg
power = energy transferred/time 215600 / 35 = 6160
efficiency = total power output / total power input = 10,000 / 6160 = 1.62%
Agree with everything up until the last line, When finding the efficiency you multiply by 100 at the end as you want a percentage. Meaning you would have a motor with an 162% efficiency, clearly this can't true. The motor has 10,000W power rating, this is the power available to the motor. You've calculated how much power is used to lift the cart, 6160W. This is how much power it's using/outputting You've got them the wrong way around in the final step.
Agree with everything up until the last line, When finding the efficiency you multiply by 100 at the end as you want a percentage. Meaning you would have a motor with an 162% efficiency, clearly this can't true. The motor has 10,000W power rating, this is the power available to the motor. You've calculated how much power is used to lift the cart, 6160W. This is how much power it's using/outputting You've got them the wrong way around in the final step.