A high jumper of mass 60.0 kg consumes a meal of 3.00 ×10^3 kcal prior to a jump. If 3.3 % of th

step 1 Problem number 15. In this question, the mass of the person is given as 60 gauges. The total ene

A high jumper of mass 60.0 kg consumes a meal of 3.00 ×10^3...

A high jumper of mass $60.0 \mathrm{kg}$ consumes a meal of $3.00 \times 10^{3} \mathrm{kcal}$ prior to a jump. If $3.3 \%$ of the energy from the food could be converted to gravitational potential energy in a single jump, how high could the athlete jump?

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Key Concepts

Gravitational Potential Energy

This concept refers to the energy possessed by an object due to its position in a gravitational field, calculated as the product of mass, gravitational acceleration, and height (mgh). It is fundamental in understanding how much energy is required or available to lift an object or a person to a certain height.

Energy Conversion Efficiency

This is the proportion of energy that is successfully converted from one form into another. In physical activities, not all consumed energy is effectively converted to mechanical work; only a certain percentage will convert into useful energy, such as gravitational potential energy during a jump.

Calorific Energy Conversion

Calories, a unit of energy from food, need to be converted into Joules to integrate with physical equations in mechanics. This conversion is essential for equating the energy obtained from nutrition to the energy used in performing physical work, like jumping.

Work-Energy Principle

This principle states that the work done on an object is equal to the change in its energy. It links the energy supplied (in this context, from food) to the mechanical energy achieved (such as lifting the body against gravity), making it a crucial concept in analyzing physical performance.

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