In a running event, a sprinter does 4.1 ✕ 105 J of work and her internal energy decreases by 8.1 ✕ 105 J.

so what is the question?

To understand the question correctly, let's define a few terms:

1. Work: In physics, work is defined as the energy transferred to or from an object due to the application of force along a displacement. It is usually measured in joules (J).

2. Internal Energy: Internal energy refers to the overall energy of the particles that make up a system. It includes the kinetic energy and potential energy of the particles. Internal energy can change due to various factors like work done, heat transfer, and changes in the system's state.

Based on the information given, the sprinter does 4.1 x 10^5 J of work, and her internal energy decreases by 8.1 x 10^5 J. To calculate the total change in energy, we need to determine the sum of these two values. Let's perform the calculation:

Total change in energy = Work done + Change in internal energy
= 4.1 x 10^5 J + (-8.1 x 10^5 J)
= -3 x 10^5 J

Therefore, the total change in energy is -3 x 10^5 J. Note that the negative sign indicates a decrease in energy.

Please let me know if you have any further questions.