A 15-Kg Mass Attached to an Ideal Massless Spring with a a Spring

question 7

Short Answer

A 1.5-kg mass attached to an ideal massless spring with a spring constant of 20.0 N/m oscillates on a horizontal, frictionless track. At time t = 0.00 s, the mass is released from rest at x = 10.0 cm. (That is, the spring is stretched by 10.0 cm.)
(a) Find the frequency of the oscillations.
(b) Determine the maximum speed of the mass. At what point in the motion does the maximum speed occur?
(c) What is the maximum acceleration of the mass? At what point in the motion does the maximum acceleration occur?
(d) Determine the total energy of the oscillating system.
(e) Express the displacement x as a function of time t.

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Definitions:

Hybrid Zones

Geographic areas where different species or genetic populations meet and breed, resulting in offspring with mixed characteristics.

Parental Environment

The external conditions and stimuli influenced by parents that contribute to the development and behavior of their offspring.

Rare

Not common or frequent; unusual.

Expansive

Characterized by a wide scope or the ability to increase in size, volume, or quantity.