Trying to calculate speeds and energies at impact.

By analyzing the high speed video frame by frame, I try to calculate speeds and energy dissapated to the water.
Is it possible to find a simple model? (Probalby exists some where out there)

Time analysis

• F46 – Bottle enters screen at top
  • delta_s = 10 cm —> v = 2.72 m/s
• F57 – Bottle impact surface
  • delta_s = 23 cm —> v = 2.55 m/s
• F84 – Bottle cap at surface
  • delta_s = 23 cm —> v = 2.16 m/s
• F116
  • delta_s = 23 —> v = 1.64 m/s
• F158

(The video is recorded at 300 fps )

In the free fall, the bottle has a speed of 2.72 m/s.
This is reduced to 2.55 m/s after the impact.
It its obvious, that these calculations of speeds are approximations. Yet, it is clearly visible how the speed is reduced as the bottle sinks through the water.
The impact – collision – gives only a little change in speed.

This means, that the bottle dont deliver all its kinetic energy to the water at impact.

There is probably a relationship with the shape of the bottle. Objects of different shape but same mass should be tested.

Displacement of water
The mass of the bottle is 0.630 kg
The volume of the “cone” of displaced water (F97) is calculated to about 1.3 ltr. The calculation is done by approximation from the size of the cola bottle.

The impact of the bottle immediately displaces 1.3 ltr of water. The cone of water gets filled, and this generates the wave front from the impact.

There will be a relation between the cone of water and the energy loss of the bottle at impact.

I will probably need to dig into some fluid mechanic to explore this further.