A basketball player makes a jump shot. The 0.700 kg ball is released at a height of 2.10 m above the floor with a speed of 7.30 m/s. The ball goes through the net 3.10 m above the floor at a speed of 3.10 m/s. What is the work done on the ball by air resistance, a nonconservative force?

Final energy= initial energy + friction
or
Final energy= PEfinal + KEfinal
Intial energy=PEinitial + KE initial

Solve for friction.
I will be happy to critique your work.

To find the work done on the ball by air resistance, we need to calculate the change in energy. In this case, the initial energy is the sum of the potential energy and kinetic energy of the ball when it is released, and the final energy is the sum of the potential energy and kinetic energy of the ball when it goes through the net.

The initial energy (Einitial) consists of the potential energy (PEinitial) and kinetic energy (KEinitial):
Einitial = PEinitial + KEinitial

The final energy (Efinal) consists of the potential energy (PEfinal) and kinetic energy (KEfinal):
Efinal = PEfinal + KEfinal

Initially, the ball is released at a height of 2.10 m above the floor, so the potential energy is given by:
PEinitial = m * g * h
where m is the mass of the ball, g is the acceleration due to gravity (approximately 9.8 m/s^2), and h is the height.

Given that the mass of the ball is 0.700 kg and the height is 2.10 m, we can calculate the initial potential energy:
PEinitial = (0.700 kg) * (9.8 m/s^2) * (2.10 m)

Initially, the ball is also released with a speed of 7.30 m/s, so the kinetic energy is given by:
KEinitial = (1/2) * m * v^2
where v is the velocity.

Given that the mass of the ball is 0.700 kg and the velocity is 7.30 m/s, we can calculate the initial kinetic energy:
KEinitial = (1/2) * (0.700 kg) * (7.30 m/s)^2

The final energy is the sum of the potential energy and kinetic energy when the ball goes through the net. Given that the ball goes through the net at a height of 3.10 m above the floor and with a speed of 3.10 m/s, we can calculate the final potential energy and final kinetic energy using the formulas above.

Once we have the initial energy and final energy, we can find the difference between them to get the work done on the ball by air resistance. Since air resistance is a nonconservative force, it does negative work and decreases the energy of the ball.

So, to find the work done on the ball by air resistance, we calculate:
Work = Efinal - Einitial

By substituting the values of the potential and kinetic energies into the equations above, you can solve for work.