I have two questions im needing help with! Im not looking for you to do my homework for me, this is off of a study guide, and i would love help figuring out the equationsIf you can help that would be greatly appreciated!!A crane lifts a 373kg payload straight up with a constant velocity of 0.60m/secWhat is the power output of the crane (ignoring energy losses).A 1,467kg car climbs a 2.3 km mountainWhat is the power output in kilowatts of the car if it takes 1 hr to complete the trip?
The thing you need here is that [power] [energy] / [time] So if you calculate the rate of change of energy in joules / second you've got watts gravitational potential energy mgh where m is the mass; g is the acceleration due to gravity; h is the height in metresSo power mgh/t (h/t) {distance/time} is the velocity Power 373 9.81 0.60 2195 W The thing you need to be careful about is consistency with your unitsThe car's g.p.eincreases by (1467 kg 9.81 m/s? 2300 m) 3.31 10^7 J in 3600 seconds That's a power of 3.31 10^7 / 3600 9194 J/s 9194 W 9.194 kW
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