A Toy Cork Gun Contains a Spring Whose Spring Constant

question 39

Multiple Choice

A toy cork gun contains a spring whose spring constant is 10.0 N/m. The spring is compressed 5.00 cm and then used to propel a 6.00-g cork. The cork, however, sticks to the spring for 1.00 cm beyond its unstretched length before separation occurs. The muzzle velocity of this cork is:

• A) 1.02 m/s
• B) 1.41 m/s
• C) 2.00 m/s
• D) 2.04 m/s
• E) 4.00 m/s

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Definitions:

M/M/1 Assumptions

Assumptions used in queuing theory where there is a single server, arrivals are Markovian (Poisson process), service times are exponentially distributed, and there is an unlimited queue.

Average Number

A mathematics term referring to the sum of a list of numbers divided by the count of numbers in the list.

λ

A symbol often used to represent the rate at which events occur in a Poisson process, typically events per unit time.

μ

A symbol commonly used in statistics and mathematics to represent the mean or average of a set of numbers.