Power Generated by 2.5x10^10cc of Rain Falling 1000m in 1 Hour

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SUMMARY

The discussion focuses on calculating the power generated by 2.5 x 1010 cc of rain falling from a height of 1000 meters in one hour. The kinetic energy of the falling water is determined using the formula for gravitational potential energy, which is mgh, where m is the mass of the water, g is the acceleration due to gravity (9.81 m/s2), and h is the height (1000 m). The total power generated is calculated by dividing the kinetic energy by the time duration of one hour, resulting in a definitive power output.

PREREQUISITES
  • Understanding of gravitational potential energy
  • Basic knowledge of physics formulas
  • Familiarity with units of measurement (cc, m, kg, s)
  • Ability to perform unit conversions
NEXT STEPS
  • Calculate the mass of water from volume (2.5 x 1010 cc to kg)
  • Learn about energy conversion and power calculations
  • Explore the implications of kinetic energy in real-world applications
  • Investigate the effects of varying heights on power generation
USEFUL FOR

Students in physics, engineers working on hydropower projects, and anyone interested in the principles of energy generation from natural phenomena.

bnelson
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A quantity of water equal to 2.5 x 1010 cc falls from a rain cloud that is
1000 m high. If this rain falls in just 1 hour, how much power is generated?
 
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First figure out how much kinetic energy the water has when it reaches the ground.
 

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