Calculating Energy Transfer and Work Done by a Crane

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SUMMARY

The crane lifts a 1500 kg car vertically 20 meters, resulting in a gain of potential energy calculated using the formula Eg = mgh, yielding 294,000 Joules. The energy transferred by the crane to the car is also 294,000 Joules, indicating that the crane does an equivalent amount of work. The discussion highlights the relationship between energy transfer and work done, emphasizing that in this scenario, the crane's work is directly related to the potential energy gained by the car.

PREREQUISITES
  • Understanding of gravitational potential energy calculations
  • Familiarity with the work-energy principle
  • Basic knowledge of Newton's laws of motion
  • Ability to perform unit conversions and calculations in physics
NEXT STEPS
  • Study the work-energy theorem in detail
  • Explore the concept of energy transfer in mechanical systems
  • Learn about friction and its impact on work done in lifting scenarios
  • Investigate real-world applications of cranes and energy calculations
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Students studying physics, engineers involved in mechanical design, and anyone interested in understanding energy transfer and work done in lifting mechanisms.

Lolagoeslala
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Homework Statement


A creane lifts a 1500 kg car straight 20 m [up]
How much potential energy does the car gain?
How much energy does the crane transfer to the car?
How much work does the crane do?



The Attempt at a Solution


How much potential energy does the car gain?
Eg = mgh
Eg = (1500 kg)(9.8m/s^2)(20m)
Eg = 294000 J

How much energy does the crane transfer to the car?
Eg = - 294000 J

How much work does the crane do?
I am not sure
 
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Lolagoeslala said:
How much energy does the crane transfer to the car?
Eg = - 294000 J
If A were to transfer a negative amount of energy to B, would that not be the same as taking energy from B?
How much work does the crane do?
I am not sure
In the absence of any data concerning losses due to friction etc., what do you think the answer is?
 

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