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An Object Weighing 44

question 25

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An object weighing 44.1 N hangs from a vertical massless ideal spring. When set in vertical motion, the object obeys the equation y(t) = (6.20 cm) cos[(2.74 rad/s)t - 1.40].
(a) Find the time for this object to vibrate one complete cycle.
(b) What are the maximum speed and maximum acceleration of the object?
(c) What is the TOTAL distance the object moves through in one cycle?
(d) Find the maximum kinetic energy of the object.
(e) What is the spring constant of the spring?


Definitions:

Market Demand

The total amount of a product or service that all consumers in a market are willing and able to purchase at various prices.

Individual Demands

The demand for goods and services by an individual consumer, based on their preferences, income, and prices.

Marginal Utility

The additional satisfaction or value a consumer gains from consuming one more unit of a good or service.

Economic Good

A product or service that has value and can be sold in a market because it is scarce in relation to demand.

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