The US athlete Florence Griffith-Joyner won the 100 m sprint gold medal at Seol Olympic 1988 se

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The US athlete Florence Griffith-Joyner won the 100 m...

The US athlete Florence Griffith-Joyner won the $100 \mathrm{~m}$ sprint gold medal at Seol Olympic 1988 setting a new Olympic record of $10 \% 4$ s. Assume that she achieved her maximum speed in a very short-time and then ran the race with that speed till she crossed the line. Take her mass to be $50 \mathrm{~kg}$. (a) Calculate the kinetic energy of Griffith-Joyner at her full speed. (b) Assuming that the track, the wind etc. offered an average resistance of one tenth of her weight, calculate the work done by the resistance during the run. (c) What power GriffithJoyner had to exert to maintain uniform speed?

Key Concepts

Power

Power is the rate at which work is done or energy is transferred over time. It is typically expressed in watts, with one watt equating to one joule per second. In the context of maintaining uniform speed under a resisting force, power quantifies the continuous energy output needed to counteract dissipative forces during motion.

Kinetic Energy

Kinetic energy is the energy an object possesses due to its motion. In mechanics, it is expressed by the formula KE = ½ m v², where m is the mass of the object and v is its velocity. This concept is fundamental in analyzing how moving bodies store and transfer energy and is critical for quantifying the energy of any moving object in classical physics.

Work

Work in physics is defined as the energy transferred when a force acts upon an object to cause displacement. It is calculated as the product of force and the distance over which that force is applied, assuming the force is constant and in the same direction as the displacement. Work is a central concept in energy conservation and transformation processes.

Resistance Force

Resistance force represents any force that opposes the motion of an object, such as friction or air resistance. In dynamics, this opposing force has to be overcome by the applied force to maintain motion. When analyzing motion, especially at high speeds, accounting for resistance is important to accurately determine the work done against these forces and the power required to sustain constant velocity.

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