Final answer:
The nonconservative work done on the surfer can be calculated using the change in the surfer's mechanical energy, which includes the initial and final kinetic energies and the potential energy lost due to the change in height.
Step-by-step explanation:
To calculate the nonconservative work done on a surfer, we can use the principle of conservation of energy. We account for the initial and final kinetic energies, the gravitational potential energy lost, and the work done by nonconservative forces such as friction and air resistance.
The initial kinetic energy (KE1) of the surfer is given by \(\frac{1}{2}mv^2\) where m is the mass of the surfer, and v is the velocity. Using the surfer's mass of 77kg and initial speed of 1.3 m/s, KE1 would be \(\frac{1}{2} \times 77 \times (1.3)^2\).
The potential energy (PE) lost by dropping through a height of 1.65m is calculated using mgh where g is the acceleration due to gravity (9.8 m/s2), and h is the height. So, PE is 77 \times 9.8 \times 1.65.
The final kinetic energy (KE2) is \(\frac{1}{2} \times 77 \times (8.2)^2\).
According to the conservation of energy, the work done by nonconservative forces (Wnc) is equal to the change in mechanical energy (KE2 - KE1 + PE).
So to find Wnc, we calculate the KE2, subtract KE1 and PE, and solve for Wnc.