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 70.3kg water skier has an initial speed of 6.10m\s. determine the work done by the net external force acting on the skier.
W= (m)((Vi^2)-(Vf^2)/2
To determine the work done by the net external force acting on the water skier, we can use the work-energy theorem. The theorem states that the work done on an object is equal to the change in its kinetic energy.
The formula for work done (W) is given by:
W = ΔKE
Where:
W = Work done
ΔKE = Change in kinetic energy
The initial kinetic energy (KEi) is equal to 1/2 * m * v^2, where m is the mass of the skier and v is the initial speed:
KEi = 1/2 * m * v^2
= 1/2 * 70.3 kg * (6.10 m/s)^2
Next, we need to calculate the final kinetic energy (KEf). Since the skier is accelerating, the final kinetic energy will be greater than the initial kinetic energy.
Finally, we can calculate the work done by finding the difference between the final and initial kinetic energy:
W = KEf - KEi
Now, let's calculate the final kinetic energy (KEf):
Since the problem does not provide information about the acceleration or time, it is not possible to directly calculate the final kinetic energy. Additional information is needed to determine the exact work done.