A basketball player does 4.81 ×10^5 J of work during her time in the game, and evaporates 0.151

step 1 Hi guys. I'm doing Problem 7 from Chapter 18, and it tells us that a basketball player is doing

A basketball player does 4.81 ×10^5 J of work during her...

A basketball player does $4.81 \times 10^{5} \mathrm{J}$ of work during her time in the game, and evaporates 0.151 $\mathrm{kg}$ of water. Assuming a latent heat of $2.26 \times 10^{6} \mathrm{J} / \mathrm{kg}$ for the perspiration (the same as for water), determine (a) the change in the player's internal energy and (b) the number of nutritional calories the player has converted to work and heat.

A basketball player does $4.81 \times 10^{5} \mathrm{J}$ of work during her time in the game, and evaporates 0.151 $\mathrm{kg}$ of water. Assuming a latent
heat of $2.26 \times 10^{6} \mathrm{J} / \mathrm{kg}$ for the perspiration (the same as for
water), determine (a) the change in the player's internal energy and (b) the number of nutritional calories the player has converted to work and heat.

Key Concepts

Nutritional Calories

Nutritional calories are a unit of energy that quantifies the energy content of food. Understanding this concept is key to relating the chemical energy stored in food to the mechanical work performed and the heat generated by the body.

Conservation of Energy

This principle states that energy cannot be created or destroyed, only transformed from one form to another. In human metabolism and physical activities, chemical energy from food is converted into mechanical work and heat, making it essential for calculating energy transfers during exercise.

Work

Work is the energy transferred by a force acting over a distance. In the context of physical activities, work represents the mechanical energy output generated by muscles, and quantifying it is crucial for understanding the body’s overall energy expenditure.

Latent Heat

Latent heat is the amount of energy required to change the state of a substance from liquid to gas without changing its temperature. In physiological processes like sweating, it represents the energy absorbed during evaporation, thereby cooling the body.

Internal Energy

Internal energy refers to the total energy contained within a system, including kinetic and potential energies at the molecular level. Changes in an athlete’s internal energy involve the conversion of chemical energy into mechanical work and heat during exertion.

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