Two Dogs, Rover and Fido, Run on a Level Frictionless $24 \mathrm {~kg} \cdot \mathrm { m } / \mathrm { s }$

question 104

Multiple Choice

Two dogs, Rover and Fido, run on a level frictionless surface. Rover runs eastward with a momentum of $24 \mathrm {~kg} \cdot \mathrm { m } / \mathrm { s }$ and Fido runs northward with momentum $10 \mathrm {~kg} , \mathrm {~m} / \mathrm { s }$ They make a sudden perfectly inelastic collision. What is the magnitude of their combined momentum after the collision?

• A) \(34 \mathrm {~kg} \cdot \mathrm { m } / \mathrm { s }\)
• B) \(26 \mathrm {~kg} \cdot \mathrm { m } / \mathrm { s }\)
• C) \(14 \mathrm {~kg} \cdot \mathrm { m } / \mathrm { s }\)
• D) It cannot be determined without knowing the masses and velocities of the dogs.

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Definitions:

Cohen

Often refers to statistical power analysis methods or effect size measures designed by Jacob Cohen, used in hypothesis testing.

Alpha

A threshold value used in hypothesis testing that determines the level of significance, often set at 0.05.

Type I Error

A Type I error occurs in hypothesis testing when a true null hypothesis is incorrectly rejected, falsely indicating a significant effect or difference when there is none.

Significance Level

The probability of rejecting the null hypothesis in a statistical test when it is actually true, typically denoted as alpha.