Solving Power Equation: Melting an Ice Cube

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SUMMARY

The discussion focuses on calculating the time required to melt an ice cube in a microwave oven delivering 135 W of power, with a total energy requirement of 33,200 Joules. The correct formula to use is T = W / P, where T is time, W is work (energy), and P is power. The final calculation shows that it takes approximately 4.1 minutes to melt the ice cube. The confusion arose from misinterpreting the units of power and work.

PREREQUISITES
  • Understanding of the Power Equation (P = W / T)
  • Knowledge of units of measurement: Watts and Joules
  • Basic algebra for rearranging equations
  • Familiarity with energy concepts in physics
NEXT STEPS
  • Study the relationship between power, work, and time in physics
  • Learn about energy conversion and efficiency in microwave ovens
  • Explore practical applications of the Power Equation in real-world scenarios
  • Investigate common misconceptions in physics related to units of measurement
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Students studying physics, educators teaching energy concepts, and anyone interested in understanding the principles of power and energy calculations.

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Power Equation??

Homework Statement



An ice cube is placed in a microwave oven. Suppose the oven delivers 135 W of power to the ice cube and that it takes 33200 Joules to melt it. How long does it take for the ice cube to melt?

Homework Equations



P = W / T

The Attempt at a Solution



Ok so I know the answer but this is confusing me... A unit of Power is J/second. So if we rearrange the equation and solve for T in minutes it would be.

T = W / P,

T = 135 / 33200 which doesn't give us the right equation to solve it...

Instead it would be 33200 / 135 / 60 = 4.1 minutes, But why when I rearrange the equation doesn't it make sense?
 
Last edited:
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33200 of what units? Badly stated question. "135 of power"?

P = W/T ? What do you think P and W represent?
 


lewando said:
33200 of what units? Badly stated question. "135 of power"?

P = W/T ? What do you think P and W represent?

Power = Watts / Time, Fixed my typo up above.

Ugh nvm I just went full retard. I read the question wrong. Ty anyway!
 


Use power = work (or energy) / time. Power has units of Watts.
 


lewando said:
Use power = work (or energy) / time. Power has units of Watts.

Yea that's what confused me... I mixed up watts and work. Ty!
 

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