A 100 Kg Mass, Initially at Rest, Is Blown Apart

question 12

Multiple Choice

A 100 kg mass, initially at rest, is blown apart into a 90.0 kg piece and a 10.0 kg piece. After the blast, the two masses are moving apart with a relative velocity of 100 m/s. The speed of the 10.0 kg mass after the explosion is 90.0 m/s. The total kinetic energy of the two masses after the explosion is

• A) 63,200 J.
• B) 45,000 J.
• C) 30,400 J.
• D) 23,400 J.
• E) 4,500 J.

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Definitions:

Central Limit Theorem

A statistical theory that states that, given a sufficiently large sample size, the sampling distribution of the mean for a variable will approximate a normal distribution, regardless of the variable's distribution in the population.

Sampling Distributions

The probability distribution of a statistic obtained from multiple random samples of a population.

Normally Distributed

Refers to a bell-shaped distribution that is symmetrical about its mean, often used as a model in statistics for real-valued random variables.

Standard Deviation

An indicator used to determine the extent of fluctuation or scatter among data points in a collection.