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Collisions in Saturn’s Rings : Each of the particles in the densest part of Saturn’s rings collides with another particle about every 5 hours. If a ring particle survived for the age of the solar system, how many collisions would it undergo ?

Answer :

The ring particle would undergo roughly 8.3 trillion collisions over that period of time.

The age of the solar system is estimated to be 4.6 billion years. This means that a ring particle would undergo roughly 8.3 trillion collisions over that period of time. To calculate this number, we can use the following formula:

Number of collisions = Time (in hours) / Time between collisions (in hours) x Number of years

Number of collisions = 4.6 x 109 (years) x 24 (hours/day) x 365.25 (days/year) / 5 (hours)

Number of collisions = [tex]8.3 * 10^{12}[/tex] (collisions)

Therefore, the number of collisions in the ring are

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