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A 15-Kg Mass Attached to Spring with a Force Constant of of 20.0

question 17

Short Answer

A 1.5-kg mass attached to spring with a force constant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is released from rest at x= 10.0 cm. (That is, the spring is stretched by 10.00 cm.) (a) Determine the frequency of the oscillations.
(b) Determine the maximum speed of the mass. Where does the maximum speed occur?
(c) Determine the maximum acceleration of the mass. Where does the maximum acceleration occur?
(d) Determine the total energy of the oscillating system.
(e) Express the displacement as a function of time.

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Definitions:

Centi-

A prefix used in the metric system denoting a factor of one hundredth (1/100) of a unit.

0.01

A numerical value representing one hundredth, often used in statistics, measurements, and as a decimal in mathematical calculations.

Product

The result of multiplying two numbers together.

Dividing

The act of separating or partitioning something into two or more parts or sections.

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