Planet Roton Has a Mass of 4

question 10

Multiple Choice

Planet Roton has a mass of 4.0 × 10²³ kg and a radius of 2.0 × 10⁶ m. With what speed should a space probe be launched from the surface of Roton so as to achieve a maximum distance of 3.0 × 10⁶ m from the center of Roton?

• A) 4.2 km/s
• B) 3.9 km/s
• C) 3.0 km/s
• D) 3.4 km/s
• E) 6.0 km/s

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Definitions:

Discrete Random Variable

A variable that assumes a finite number of unique values, typically signifying the results of a stochastic process.

Continuous Random Variable

A type of random variable that can take an infinite number of possible values within a given range, often associated with measurements.

Expected Value

The sum of all possible outcomes of a random process, each multiplied by its probability of occurrence.

Variance

A measure of the dispersion of a set of data points around their mean; mathematically, it is the average of the squared differences from the mean.