Daniel Chin
rating: 0+x

Item #: SCP-XXXX

Object Class: safe Keter

Special Containment Procedures: SCP-XXXX should be contained in a locker whose diagonal length is no longer than 6 cm.

Description:
SCP-XXXX is a pair of identical metal balls, labeled SCP-XXXX-0 and SCP-XXXX-1 SCP-XXXX-L and SCP-XXXX-R. The diameter of each ball is 1.928 cm and the weight is 34.0611534 g. There is always a repulsive force between the two balls.

The anomoly of SCP-XXXX lies in how the repulsive force responds to the distance between the two balls. Unlike most physical forces that follow the inverse square law, SCP-XXXX follows a not-inverse square law - the repulsive force is proportional to the square of the distance between the two balls:

(1)
\begin{align} f = k \times d^2 \end{align}

where $d$ is the distance between the two balls, $f$ is the resulting repulsive force, and $k$ is a constant number. Foundation measurements have shown that $k = 426.7998 \pm 0.0001$ N/m2.

distance between two balls repulsive force equivalent weight
1.928 cm 0.16 N a tablespoon
4.072 cm 0.71 N a cupcake
1 m 427 N a 15-year-old girl
5 m 10670 N a compact car
20 m 1.7 × 105 N ???

Computer simulations of SCP-XXXX under free acceleration show alarming results. Suppose that some glue was holding the two balls in contact. If the glue was to be removed at t = 0 s and SCP-XXXX was allowed to freely accelerate, then at t = 0.135 s SCP-XXXX starts to gain significant velocity. The high velocity quickly increases the distance, which in turns amplifies the repulsive force by many folds. By t = 0.136 s, the velocity has risen to 3.4 × 10198 m/s and the distance 6.7 × 10194 m. Afterwards (t > 0.136 s), unmanageable overflow immediately crashes any simulation attempts. The figure below shows the simulated trajectory up to t = 0.136 s.

ACgutl1BMRcQJiL.png

Free acceleration, distance against time.

ACgutl1BMRcQJiL.png

Free acceleration, distance against time.

Addendum: