A Turntable Has a Radius of 0

question 77

Multiple Choice

A turntable has a radius of 0.80 m and a moment of inertia of 2.0 kg · m².The turntable is rotating with an angular velocity of 1.5 rad/s about a vertical axis though its center on frictionless bearings.A very small 0.40-kg ball is projected horizontally toward the turntable axis with a velocity of 3.0 m/s.The ball is caught by a very small and very light cup-shaped mechanism on the rim of the turntable (see figure) .What is the angular velocity of the turntable just after the ball is caught?

• A)2.1 rad/s
• B)1.3 rad/s
• C)0.94 rad/s
• D)0.75 rad/s
• E)0.30 rad/s

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Definitions:

T-Distribution

A statistical distribution that occurs when calculating the average of a population with a normal distribution, under conditions where the sample size is small and the population's variance is not known.

Degrees of Freedom

The number of independent values or quantities that can vary in a statistical calculation.

Chi-Square Critical Value

A point on the chi-square distribution that is compared to the chi-square test statistic to determine whether to reject the null hypothesis.

Level of Significance

Level of significance is a threshold in hypothesis testing, denoted as alpha, that determines the probability of rejecting the null hypothesis when it is true.