Solve Simple Oscillation Homework: Find Max Kinetic Energy (mJ)

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Homework Help Overview

The problem involves a body oscillating vertically from an ideal spring, with a focus on determining the maximum kinetic energy of the body during its motion. The context includes the spring constant and the equation of motion for the oscillation.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the application of the kinetic energy formula and the conversion of units from Joules to milliJoules. There is an attempt to calculate the maximum kinetic energy using the provided spring constant and amplitude.

Discussion Status

Some participants are questioning the correctness of their calculations and whether the computational tool used for submission is functioning properly. There is a focus on unit conversion and the interpretation of the results, with no clear consensus on the accuracy of the answer provided.

Contextual Notes

Participants note the importance of unit conversion, specifically the relationship between Joules, milliJoules, and megaJoules, which may be contributing to the confusion regarding the accepted answer.

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Homework Statement


A body is suspended vertically from an ideal spring of spring constant 3.5 N/m. The spring is initially in its relaxed position. The body is then released and oscillates about its equilibrium position. The motion is described by the following equation.

y = (4.5 cm) sin [(0.62 rad/s)t]

What is the maximum kinetic energy of the body?
[answer in mj)


Homework Equations



Kmax=.5kA^2

The Attempt at a Solution



.5(3.5)(.045)^2=.003543 J but the answer must be in mj. So, 3.543x10^-9 BUT computer did not accept the answer as a correct one... Could anyone help me please?
Thanks!
 
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1 mJ equal to how many Joules?
 
.003543 joules = 3.54300 × 10-9 megajoules
so if my answer is correct, then it is the machine error that it's not being accepted. is my answer correct?
Thanks
 
jeunesse27 said:
.003543 joules = 3.54300 × 10-9 megajoules
so if my answer is correct, then it is the machine error that it's not being accepted. is my answer correct?
Thanks
mJ is milli joule i.e. 10^-3 J. Mega Joule is MJ = 10^6 J
 

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