A 84 kg diver steps off a 10 m tower and drops from rest straight down into the water. If he comes to rest 4.7 m beneath the surface, determine the average resistance force exerted on him by the water.
1753.24N
To determine the average resistance force exerted on the diver by the water, we can use the work-energy principle.
The work done by the resistance force can be calculated using the formula:
Work = Force × Distance
In this case, the distance is the depth the diver goes beneath the surface, which is 4.7 m.
The work done by the resistance force is equal to the change in kinetic energy of the diver. Initially, the diver is at rest, so the initial kinetic energy is zero. Finally, when the diver comes to rest, the final kinetic energy is again zero.
So, the work done by the resistance force is:
Work = Change in Kinetic Energy
= Final Kinetic Energy - Initial Kinetic Energy
= 0 - 0
= 0
Since the work done by the resistance force is zero, this means that the average resistance force exerted by the water is also zero.