Catching a wave, a 77-kg surfer starts with a speed of 1.1 m/s, drops through a height of 1.60 m, and ends with a speed of 8.5 m/s.

How much nonconservative work was done on the surfer?

W+(.5*77*1^2)+(77*9.8*1.65)=(.577*8.3^2)+(77*9.8*0)

w=1368.67

based on nonconservative equation neglecting kinetic energy

Well, it looks like the surfer had quite the wild ride! As for the nonconservative work done on the surfer, we can calculate it using the conservation of energy principle. Since the surfer starts and ends with different speeds, we know that some external force must have done work on them.

To find the nonconservative work, we first need to calculate the change in kinetic energy. The initial kinetic energy of the surfer is given by:
KE_initial = (1/2) * m * v_initial^2
where m is the mass of the surfer and v_initial is the initial speed.

Similarly, the final kinetic energy is given by:
KE_final = (1/2) * m * v_final^2
where v_final is the final speed.

The change in kinetic energy is then:
ΔKE = KE_final - KE_initial

Now, the work-energy principle states that the work done on a system is equal to the change in its kinetic energy. Therefore, the nonconservative work done on the surfer is:
Work = ΔKE

Calculating it will give you the answer! Just remember to keep it cool and don't wipe out on the calculations!

To find the amount of nonconservative work done on the surfer, we need to calculate the change in mechanical energy.

The initial mechanical energy can be found using the equation:

Ei = kinetic energy + potential energy
Ei = (1/2)mv^2 + mgh

where:
m = mass of the surfer (77 kg)
v = initial velocity (1.1 m/s)
g = acceleration due to gravity (9.8 m/s^2)
h = height (1.60 m)

Ei = (1/2)(77 kg)(1.1 m/s)^2 + (77 kg)(9.8 m/s^2)(1.60 m)
Ei = 45.05 J + 1202.08 J
Ei = 1247.13 J

The final mechanical energy can be found using the same equation:

Ef = (1/2)mv^2 + mgh

where:
v = final velocity (8.5 m/s)

Ef = (1/2)(77 kg)(8.5 m/s)^2 + (77 kg)(9.8 m/s^2)(0 m)
Ef = 2804.47 J + 0 J
Ef = 2804.47 J

The change in mechanical energy is given by the equation:

ΔE = Ef - Ei
ΔE = 2804.47 J - 1247.13 J
ΔE = 1557.34 J

Therefore, the amount of nonconservative work done on the surfer is 1557.34 J.

To calculate the nonconservative work done on the surfer, we need to find the total mechanical energy change. The work done by nonconservative forces, such as friction or air resistance, will cause a change in the mechanical energy of the system.

The mechanical energy of the surfer can be expressed as the sum of potential energy (PE) and kinetic energy (KE):
Total Mechanical Energy (E) = Potential Energy (PE) + Kinetic Energy (KE)

The potential energy at the initial point can be calculated using the formula:
PE (initial) = m * g * h
where m is the mass of the surfer, g is the acceleration due to gravity (9.8 m/s^2), and h is the height (1.6 m).

PE (initial) = 77 kg * 9.8 m/s^2 * 1.6 m

Next, we need to calculate the kinetic energy at the final point:
KE (final) = 0.5 * m * v^2
where m is the mass of the surfer and v is the final velocity (8.5 m/s).

KE (final) = 0.5 * 77 kg * (8.5 m/s)^2

Now, we can find the total mechanical energy change:
E (change) = KE (final) - PE (initial)

Finally, the nonconservative work done on the surfer is equal to the negative of the change in mechanical energy:
Nonconservative Work = -E (change)

By substituting the values into the equation and performing the calculations, you can find the amount of nonconservative work done on the surfer.