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Physics / Physics: Principles with Applications 6 / Chapter 11 / Problem 19P

Physics: Principles with Applications | 6th Edition | ISBN: 9780130606204 | Authors: Douglas C. Giancoli

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Solved: A 2.00-kg pumpkin oscillates from a vertically

Chapter 5, Problem 19P

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QUESTION:

Problem 19P

A 2.00-kg pumpkin oscillates from a vertically hanging light spring once every 0.65 s. (a) Write down the equation giving the pumpkin’s position y (+ upward) as a function of time t, assuming it started by being compressed 18 cm from the equilibrium position (where y = 0), and released. (b) How long will it take to get to the equilibrium position for the first time? (c) What will be the pumpkin’s maximum speed? (d) What will be its maximum acceleration, and where will that first be attained?

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QUESTION:

Problem 19P

A 2.00-kg pumpkin oscillates from a vertically hanging light spring once every 0.65 s. (a) Write down the equation giving the pumpkin’s position y (+ upward) as a function of time t, assuming it started by being compressed 18 cm from the equilibrium position (where y = 0), and released. (b) How long will it take to get to the equilibrium position for the first time? (c) What will be the pumpkin’s maximum speed? (d) What will be its maximum acceleration, and where will that first be attained?

ANSWER:

Step 1 of 4

(a) Write down the equation giving the pumpkin’s position y (+ upward) as a function of time ,

Substitute for , for .

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