An 83 kg man eats a banana of energy content 418 kJ(100 kcal) . If all of the energy from the ba

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An 83 kg man eats a banana of energy content 418 kJ(100...

An 83 kg man eats a banana of energy content $418 \mathrm{kJ}(100 \mathrm{kcal}) .$ If all of the energy from the banana is converted into kinetic energy of the man, how fast is he moving, assuming he starts from rest?

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Key Concepts

Unit Conversion

Unit conversion is critical when working with physical quantities to ensure consistency and accuracy. Energy may be expressed in different units, such as kilojoules or calories, and these must be properly converted to the standard SI units (joules) when applying formulas like the kinetic energy formula. This concept ensures that the calculations reflect true physical dimensions and values.

Conservation of Energy

The conservation of energy principle states that energy cannot be created or destroyed; it can only be transformed from one form to another. In this context, the chemical energy stored in food is assumed to be entirely converted into kinetic energy, allowing us to calculate the resulting motion. This principle underpins many calculations in physics where energy transfer processes are analyzed.

Kinetic Energy

Kinetic energy is the energy an object possesses due to its motion. It is mathematically represented by the formula KE = ½ mv², where m is the mass and v is the velocity. This concept is central to understanding how energy content can be converted into motion, as it allows us to quantitatively relate energy and speed.

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