Final answer:
The gymnast did 225 Joules of work to reach the uneven parallel bars before starting her routine, calculated by multiplying her weight (450 Newtons) by the distance jumped (0.50 meters).
Step-by-step explanation:
To calculate the work done by a gymnast jumping to reach the uneven parallel bars, we will apply the concept of work in physics. Work is defined as the product of the force applied and the distance over which the force is applied, and the direction of force is the same as the direction of displacement. In this case, the force is the weight of the gymnast, and the distance is the height she gains.
The work done (W) is calculated using the formula W = force x distance. The gymnast weighs 450 Newtons, and she jumps a distance of 0.50 meters. Therefore, the work done by the gymnast is:
W = 450 N x 0.50 m = 225 Joules.
This is the amount of work the gymnast did to reach the bars before starting her routine.