A child on a beach kicks a beach ball, giving it an initial velocity of 4.0 m/s. It was sitting on the ground when given the kick. The ball lands on the beach 5m away and closer to the ocean, with a speed of 1.6m/s just before it hits. the final landing place is 1.2 m lower than the place where the ball was kicked. the mass of the ball is .40kg. How much work did air friction do on the ball during the trip?

To calculate the work done by air friction on the ball during its trip, we need to determine the energy lost due to air friction. This can be done by first calculating the initial kinetic energy of the ball and then subtracting the final kinetic energy from it.

1. Calculate the initial kinetic energy:
The formula for kinetic energy is given by K = 0.5 * m * v^2, where K is the kinetic energy, m is the mass, and v is the velocity.
Using the given information, the initial kinetic energy is:
K_initial = 0.5 * 0.40 kg * (4.0 m/s)^2

2. Calculate the final kinetic energy:
The final kinetic energy is given as 0.5 * m * v^2, where v is the velocity just before it hits the ground.
Given: v = 1.6 m/s
The final kinetic energy is:
K_final = 0.5 * 0.40 kg * (1.6 m/s)^2

3. Calculate the work done by air friction:
The work done by air friction is equal to the initial kinetic energy minus the final kinetic energy: W = K_initial - K_final

Substituting the calculated values, we can now solve for the work done by air friction.