Answer :

Final answer:

The question deals with the effects of energy distribution from an explosive event at a certain radius. To find the calories per cm² for a spherical explosion, one can use the ratio of the total radiant heat energy to the surface area of a sphere with the given radius.

Explanation:

The question seems to be related to an explosive event's effects from a hypothetical Red Matter Explosive in the context of a video game or theoretical scenario rather than a real-world application. However, to calculate the energy distribution of an explosive event, we can follow a similar process to the calculation of the calories per cm² from a bomb explosion. Assuming the explosive event distributes energy uniformly over a spherical surface, we can calculate the energy per unit area at a certain radius. To illustrate:

(a) Suppose a 1.00-MT bomb deposits 25.0% of its energy as radiant heat, the total energy in terms of calories would be distributed over the surface area of the sphere.

The energy emitted E is given by E=0.25*1.00MT. The surface area A of a sphere with radius R is given by A=4πR². If the radius R is 10.0 km, converting that to cm (since we are calculating calories per cm²), we can find the calories per cm² at that distance. However, without specifying the exact conversion from megaton to calories, we cannot calculate a precise number.

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Rewritten by : Barada