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Q8) Suppose that there are infinitely many colours, and each colour is named by an ordered triple of numbers. (So, for example,<1,2,4> names one colour, while <-1,3,-5>names another colour.) Consider the version of Sklarian physics that modifies Newtonian physics by replacing the absolute acceleration of objects with colours of objects (using the above labelling system for colours) and endorses the extra law (L) connecting colour with relative acceleration. L) For any particles x and y, if x has colour and y has colour , then the acceleration of x relative to y is .

(Note that the positive direction corresponds to x accelerating away from y.) Suppose that x and y are particles both having 100 kg mass, are 1 km away from each other, and are the only material objects in the universe. Describe a future relative motion of x and y that is possible according to Newtonian physics, but is not possible according to this version of Sklarian physics.

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In Newtonian physics, the relative motion of objects depends on their masses and the forces acting between them. In the scenario you've described, let's consider a situation where the only force acting between particles x and y is the force of gravity.

In Newtonian physics, the gravitational force between two objects can be calculated using the equation:

F = G * (m1 * m2) / r^2

where F is the gravitational force, G is the gravitational constant, m1 and m2 are the masses of the objects, and r is the distance between them.

Now, let's assume that initially, x and y are at rest relative to each other. According to Newtonian physics, since they have mass, there will be a gravitational force acting between them. Due to this force, they will start accelerating towards each other.

However, in Sklarian physics, you have replaced absolute acceleration with colors. According to law L, the acceleration of x relative to y is determined by their colors. Since x and y are assigned colors in this scenario, their relative acceleration is determined by the colors they possess.

Now, the problem arises because there is no information provided regarding how colors relate to relative acceleration in this version of Sklarian physics. Without knowing the specific rules governing this color-acceleration relationship, it is not possible to determine the relative motion of x and y based solely on their colors.

Therefore, while Newtonian physics predicts that x and y will accelerate towards each other due to gravity, this version of Sklarian physics cannot provide a corresponding prediction without further information about the color-acceleration relationship. Consequently, it is not possible to determine a future relative motion of x and y that is possible according to Newtonian physics but not possible according to this version of Sklarian physics, given the information provided.