Final answer:
The non-conservative work done on the surfer is found by using the work-energy principle, which relates the work done by all forces to the change in kinetic energy and potential energy.
Step-by-step explanation:
To determine the non-conservative work done on the surfer, we can use the Work-Energy Principle, which is a part of conservative and non-conservative forces in physics. The work-energy principle states that the work done by all forces equals the change in kinetic energy plus the change in potential energy.
Conservative forces include gravitational force where work is independent of the path taken and depends only on initial and final positions. On the other hand, non-conservative forces, such as friction or drag, cause energy to be lost to the system.
Let's calculate the work done by non-conservative forces:
Initial kinetic energy (KEi) = 0.5 * m * vi2 = 0.5 * 77kg * (1.3 m/s)2
Final kinetic energy (KEf) = 0.5 * m * vf2 = 0.5 * 77kg * (8.2 m/s)2
Change in gravitational potential energy (U) = m * g * h = 77kg * 9.81 m/s2 * 1.65m
Work done by gravity is the negative of the change in potential energy as the surfer drops through the height.
Work done by non-conservative forces (Wnc) = ΔKE + ΔU
To find ΔKE:
ΔKE = KEf - KEi
To find ΔU:
ΔU = Uf - Ui (Since the surfer drops, Ui is greater and ΔU will be negative)
Wnc is then plugged into this equation to find the final value:
Wnc = (KEf - KEi) + (Uf - Ui)
By calculating, you can determine the non-conservative work done on the surfer.