How much work is done by the crane in lifting the load?

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SUMMARY

The crane performs work by lifting an 800 kg load to a height of 90 m at a constant speed of 2.00 m/s. The gravitational potential energy (PE) is calculated using the formula E = mgh, resulting in 705600 J. Additionally, kinetic energy (KE) must be considered, as the load is in motion. The total work done by the crane is the sum of potential and kinetic energy, adhering to the law of conservation of mechanical energy.

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  • Understanding of gravitational potential energy (PE) and kinetic energy (KE)
  • Familiarity with the formula E = mgh for calculating potential energy
  • Knowledge of the law of conservation of mechanical energy
  • Basic principles of work and force in physics
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Sirsh
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Hi, i was just wondering with this question because I'm unsure if I am supposed to add both kinetic and gravitation energy into this answer? thanks.

1 A crane on a building site lifts an 8.00 × 102 kg load from ground level to a vertical height of 90.0 m at a constant speed of 2.00 m s–1. Ignore the mass of the cable.

A. How much work is done by the crane in lifting the load through this distance?
m = 800kg h = 90m g = 9.8ms^-2

E = mgh
E = 800*9.8*90
= 7.056*10^5 J

Sirsh.
 
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Sirsh said:
Hi, i was just wondering with this question because I'm unsure if I am supposed to add both kinetic and gravitation energy into this answer? thanks.

1 A crane on a building site lifts an 8.00 × 102 kg load from ground level to a vertical height of 90.0 m at a constant speed of 2.00 m s–1. Ignore the mass of the cable.

A. How much work is done by the crane in lifting the load through this distance?
m = 800kg h = 90m g = 9.8ms^-2

E = mgh
E = 800*9.8*90
= 7.056*10^5 J

Sirsh.

Yes you also need to add the kinetic energy

Total work done = PE+KE = constant at all points in the motion (this is the law of conservation of mechanical energy)
 
Are you sure? supposedly it's W = F/s therefore W = mg/s, W = 800*9.8/90 ??
 

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