a child on a beach kicks a beach ball, giving it an initial velocity of 4.0m/s.It was sitting on the ground when given the kick. The ball lands on the beach 5.0 m away with a speed of 2.2 m/s just before it hits. the final landing place is at the same level as the place where the ball was kicked. the mass of the ball is .40 kg 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 the trip, you need to find the energy loss of the ball due to air friction. This can be determined using the work-energy principle, which states that the work done on an object is equal to the change in its kinetic energy.
To find the initial kinetic energy of the ball, we can use the equation:
Kinetic Energy (KE) = (1/2) * mass * velocity^2
Substituting the given values, we have:
KE_initial = (1/2) * 0.40 kg * (4.0 m/s)^2
Next, we need to find the final kinetic energy of the ball just before it hits the ground. Again, using the equation for kinetic energy:
KE_final = (1/2) * 0.40 kg * (2.2 m/s)^2
The work done by air friction is equal to the change in kinetic energy:
Work = KE_final - KE_initial
Substituting the calculated values, we can find the work done.
Please note that we are assuming the only external force acting on the ball is air friction, and neglecting other potential forces like gravity or air resistance during the flight of the ball.