A Particle of Mass M = 0

question 2

Multiple Choice

A particle of mass m = 0.10 kg and speed v₀ = 5.0 m/s collides and sticks to the end of a uniform solid cylinder of mass M = 1.0 kg and radius R = 20 cm. If the cylinder is initially at rest and is pivoted about a frictionless axle through its center, what is the final angular velocity (in rad/s) of the system after the collision?

• A) 8.1
• B) 2.0
• C) 6.1
• D) 4.2
• E) 10

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Definitions:

Sample Mean

The arithmetic average of a set of sample observations, used as an estimate of the population mean.

Sampling Distribution

The framework of chances for a specific statistic, selected randomly.

Normally Distributed

A type of continuous probability distribution for a real-valued random variable, where the data tends to cluster around a central mean value, forming a bell curve.

Sampling Distribution

A distribution showing the probability of various outcomes for a specific statistic, coming from a random sample, and used for inferential purposes about the population.