When a 020-Kg Block Is Suspended from a Vertically Hanging Spring, It

question 54

Multiple Choice

When a 0.20-kg block is suspended from a vertically hanging spring, it stretches the spring from its original length of 0.040 m to 0.045 m. The same block is attached to the same spring and placed on a horizontal, frictionless surface as shown. The block is then pulled so that the spring stretches to a total length of 0.15 m. The block is released at time t = 0 s and undergoes simple harmonic motion.
-What is the total mechanical energy of the system at any instant?

• A)0.25 J
• B)0.49 J
• C)0.98 J
• D)4.4 J
• E)9.8 J

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Definitions:

Random Numbers

Random numbers are sequences of digits (usually between 0 and 1) generated in such a way that each number has an equal probability of occurring, commonly used in simulations and statistical sampling.

Cumulative Probability Distribution

A statistical function that describes the probability of a random variable falling within a certain range or being less than a specific value.

Monte Carlo Simulation

A computational technique that uses random sampling to obtain numerical results, often used for risk assessment or to solve physical and mathematical problems.

Cumulative Probability Distribution

A function that gives the probability that a random variable is less than or equal to a certain value.