How High Would Sally Have to Climb to Offset the Energy from a Low Joule Cola?

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SUMMARY

Sally needs to offset the energy intake from a 375 ml can of low joule cola, which contains 1.7 kJ per 100 ml. This results in a total energy intake of 6.375 kJ (or 6375 J). To calculate the height she must climb to offset this energy, we apply the potential energy formula PE = mgh, where m is her mass (65 kg), g is the acceleration due to gravity (9.81 m/s²), and h is the height in meters. By rearranging the formula, Sally must climb approximately 9.9 meters to offset the energy consumed.

PREREQUISITES
  • Understanding of basic physics concepts, specifically potential energy.
  • Familiarity with the formula PE = mgh.
  • Knowledge of unit conversions, particularly between kilojoules and joules.
  • Basic arithmetic skills for calculations involving mass, gravity, and height.
NEXT STEPS
  • Review the potential energy formula and its applications in real-world scenarios.
  • Learn about energy conversion between kilojoules and joules.
  • Explore the concept of work done against gravity in physics.
  • Investigate the nutritional information and energy content of various beverages.
USEFUL FOR

This discussion is beneficial for students studying physics, particularly those interested in energy concepts, as well as anyone looking to understand the relationship between energy intake and physical activity.

beagle
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If a soft drink from australia is labled low joule cola the label says 100ml yields 1.7 kj. The can contains 375 ml if sally drinks the cola and then wants to offset this input of food energy by climbing stairs how high would she have to climb if she had a mass of 65kg. If you can answer this can you please show me the work so i can see how to do it. I need it by sunday
 
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We're not here to do your work for you! Please make an attempt, show your work, and point out where you got stuck... then you'll get plenty of help. (And in the future, please post such questions in the homework help forums.)

Hint: Consider work done against gravity.
 
Use proportions to get the amount of KJ in 375 ml.
multiply that # by 1000 to get J.
then use the PE formula:

<< complete solution deleted by berkeman >>

You could solve for the h now.
 
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