A boy throws a ball of mass 0.25kg straight upward with an initial speed of 20m/s. When the ball returns to the boy, its speed is 17m/s. How much much work does air resistance do on the ball during its flight?

Respuesta :

Answer:

Work done,W = -13.875 J

Explanation:

It is given that,

Mass of the ball, m = 0.25 kg

Initial speed of the ball, u = 20 m/s

Final speed of the ball, v = 17 m/s

Let W is the work done by the ball during its flight. Using the work energy theorem, the work done is equal to the change in kinetic energy of the ball. It is given by :

[tex]W=\dfrac{1}{2}m(v^2-u^2)[/tex]

[tex]W=\dfrac{1}{2}\times 0.25\ kg\times ((17\ m/s)^2-(20\ m/s)^2)[/tex]

W = -13.875 J

So, the work done by the air resistance on the ball during its flight is (-13.875 J). Hence, this is the required solution.