Two Clowns Are Launched from the Same Spring-Loaded Circus Cannon $K _ { A } = \frac { 3 } { 2 } K _ { B }$

question 80

Multiple Choice

Two clowns are launched from the same spring-loaded circus cannon with the spring compressed the same distance each time.Clown A has a 40-kg mass;clown B a 60-kg mass.The relation between their kinetic energies at the instant of launch is

• A) \(K _ { A } = \frac { 3 } { 2 } K _ { B }\) .
• B) \(K _ { A } = \sqrt { \frac { 3 } { 2 } } K _ { B }\) .
• C)K_A = K_B.
• D) \(K _ { B } = \sqrt { \frac { 3 } { 2 } } K _ { A }\) .
• E) \(K _ { B } = \frac { 3 } { 2 } K _ { A }\) .

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Definitions:

T-statistic

A type of statistic used in hypothesis testing, particularly in situations dealing with small sample sizes or unknown standard deviations, to determine if there is a significant difference between two sets of data.

Null

Often refers to a value of zero in various contexts, such as null pointers in programming or null hypotheses in statistics.

Alpha

A threshold level used in statistics to determine the significance of results, often set at 0.05 or 5%.

Critical Value

A threshold in hypothesis testing that determines whether to reject the null hypothesis, based on the distribution of a test statistic.