

Aight this is how much force was mostly likely required by Voja to push these Conteiners
Containers Weight
On the average based on this a container of a ship weight can vary between 2100-3800kg while being empty and can reach up to more than 26000 kg at their maximum capacity regardless what is inside.
I'll use a 10ft one for the container type and the average between his maximum gross weight and his tare/empty weight (As the one used here is probably the 12-14 ft type in japan but there isn't anything for it so I'll later use a 1.4x probably)
- Results would be 5717.5kg
Friction Coefficient
We have to determine the kinetic(or dynamic) coefficient to first find the force required to move the containers over the constant deceleration while sliding. Steel on steel has a coe of about 0.42
- Container Length: 40px or about 3m
- Distance Traveled: 5.7m to 11.4m (30+23+23px)
All Distances: 1. 2.25 2. 1.725 3. is same as 2.
Deceleration due to kinetic friction is equal to
μg= 0.42 * 9.81= -4.12m/s^2
Displacement
I'll assume the first container accelerate over a distance of roughly 0.4m which is about half Voja arm length or the displacement. Though it's most likely less when the first time she accelerates she already has her arms extended
Velocity required To overcome Everything
The velocity after sliding distance d with friction deceleration a, while Vf is final velocity and Vi is initial, is equal to Vf^2= V𝑖^2 − 2𝑎𝑑 for general kinematics. To note as well, the momentum type collision is assumed to be perfectly inelastic, as the containers pretty much stick together on impact, while they should have basically the same mass which is why I won't use any type of semi elastic collisions which would rather make this higher
I'll explain different signs so it's easier to understand
- v0 = initial speed of container A (unknown)
- v1 = speed just before first collision (after sliding 𝑑1)
- v2 = speed just after first collision (containers A+B combined)
- v3 = speed just before second collision (after sliding 𝑑2)
- v4 = speed just after second collision (containers A+B+C combined)
- v5 =0 (final speed after sliding 𝑑3 and stopping)
Note how d1, d2, v1, v2 ecc is just to differentiate distances, and to not indicate things like multiplications. The calculation will be done by first starting on the last container and then reaching the first one obviously
First part with 2.25m
v1^2= v0^2 - 2ad1
Second part 1.725m
v3^2= v2^2 - 2ad2
Part 3 with with same as 2
0(Since if where it ends)= v4^2 - 2a𝑑3 ⟹ v4^2 = 2ad3
Calculating the collisions now using momentum transfer
First collision momentum
mv1= 2mv2 ⟹ v2= (v1)/2
Second collision momentum
2mv3= 3mv4 ⟹ v4= (2/3)v3
Substitute collision velocities into sliding equations
3rd part of the sliding
v4^2= 2ad3 = 2 * 4.12(deceleration) * 1.725m = 14.214
v4= Square-rot 14.214= 3.77 m/s
From second collision using the velocity from part 3
v4= (2/3)v3 ⟹ v3= (3/2)v4= 1.5 * 3.77= 5.6 m/s
2nd part of the sliding
v3^2= v2^2 - 2ad2 ⟹ v2^2= v3^2 + 2ad2
v3^2= 5.6^2= 31.9
2ad2= 2 * 4.12 * 1.725= 14.214 (same values as 3)
v2^2= 31.9 + 14.214= 46.195
v2= square-rot 46.195= 6.8 m/s
First collision
Just 2 * 6.8 since it's 1/2= 13.6 m/s
1st part of the sliding
v1^2= v0^2 - 2ad1 ⟹ v0^2= v1^2 + 2ad1
v1^2= 13.6 m/s (the same as above)= 185
2ad1= 2 * 4.12 * 2.25= 18.54
v0^2= 185 + 18.54= 203.54
v0= square-rot 203.54= 14.26 m/s
That is the velocity of the first container
Calculating now the force trough the 0.4m displacement assumed trough kinematic
a= v0^2/2s(displacement)= (14.26)^2/(2 * 0.4)= 203.54/0.8= 254.42 m/s^2
Force Applied: 254.42 * 5717.5(Mass of the first container)= 1455717N or 150 Metric Tons
Assuming it's actually a 14ft one: About 1.4x mostly so 1455717 * 1.4x= 2038003N or 207 Metric Tons
Small notes are that 1. the gel doesn't influence the thing as it didn't get below the containers meaning friction wasn't lowered, though if you wanna somehow argue some of it went below it would still be lower only by a bit 2. I didn't use semi elastic collisions as this would have a really low coefficent and I'd rather not assume it. 3. Displacement is low balled 4. Containers weight is about that on average but using a bit less can also he correct