A water-skier is being pulled by a tow rope attached to a boat. As the driver pushes the throttle forward, the skier accelerates. A 70.3-kg water-skier has an initial speed of 6.10 m/s. Later, the speed increases to 11.3 m/s. Determine the work done by the net external force acting on the skier?

Respuesta :

Answer:

Work done, W = 3180.372 Joules

Explanation:

It is given that,

Mass of the water skier, m = 70.3 kg

Initial speed of the water skier, u = 6.1 m/s

Final speed of the skier, v = 11.3 m/s

We need to find the work done by the net external force acting on the skier. It is given by using work energy theorem as :

[tex]W=\Delta E[/tex]

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

[tex]W=\dfrac{1}{2}\times 70.3\ kg((11.3)^2-(6.1)^2)[/tex]

W = 3180.3 J

So, the work done by the net external force acting on the skier is 3180.372 Joules. Hence, this is the required solution.