A particle with a mass of 0.410 kg is attached to a horizontal spring with a force constant of 33.21 N/m. At the moment t = 0, the particle has its maximum speed of 22.5 m/s and is moving to the left. (Assume that the positive direction is to the right.) (a) Determine the particle's equation of motion, specifying its position as a function of time. (Use the following as necessary: t.) (b) Where in the motion is the potential energy three times the kinetic energy? (C) Find the minimum time interval required for the particle to move from x = 0 to x = 1.00 m. (Be sure to enter the minimum time and not the total time elapsed.) (d) Find the length of a simple pendulum with the same period. m
A particle with a mass of 0.410 kg is attached to a horizontal spring with a force constant of 33.21 N/m. At the moment t = 0, the particle has its maximum speed of 22.5 m/s and is moving to the left. (Assume that the positive direction is to the right.) (a) Determine the particle's equation of motion, specifying its position as a function of time. (Use the following as necessary: t.) (b) Where in the motion is the potential energy three times the kinetic energy? (C) Find the minimum time interval required for the particle to move from x = 0 to x = 1.00 m. (Be sure to enter the minimum time and not the total time elapsed.) (d) Find the length of a simple pendulum with the same period. m
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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![A particle with a mass of 0.410 kg is attached to a horizontal spring with a force constant of 33.21 N/m. At the moment t = 0, the
particle has its maximum speed of 22.5 m/s and is moving to the left. (Assume that the positive direction is to the right.)
(a) Determine the particle's equation of motion, specifying its position as a function of time. (Use the following as
necessary: t.)
(b) Where in the motion is the potential energy three times the kinetic energy?
(c) Find the minimum time interval required for the particle to move from x = 0 to x = 1.00 m. (Be sure to enter the
minimum time and not the total time elapsed.)
(d) Find the length of a simple pendulum with the same period.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb0b58f0f-1475-4cce-af5a-6ebf1197a060%2Fd82f5301-dcff-4abb-a2c7-4d3a7f7a553e%2F2f7v9ix_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A particle with a mass of 0.410 kg is attached to a horizontal spring with a force constant of 33.21 N/m. At the moment t = 0, the
particle has its maximum speed of 22.5 m/s and is moving to the left. (Assume that the positive direction is to the right.)
(a) Determine the particle's equation of motion, specifying its position as a function of time. (Use the following as
necessary: t.)
(b) Where in the motion is the potential energy three times the kinetic energy?
(c) Find the minimum time interval required for the particle to move from x = 0 to x = 1.00 m. (Be sure to enter the
minimum time and not the total time elapsed.)
(d) Find the length of a simple pendulum with the same period.
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