- #1
ddsMom
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Homework Statement
A mass of .4 kg is connected to a spring with a spring constant of 100 N/m, slides on a frictionless horizontal surface in simple harmonic motion, Its maximum displacement is .3m?
What is the maximum speed of the mass?
What is the energy stored in gthe mass/spring system when its speed is half the maximum value?
What is acceleration of t he mass when its speed is half the maximum value?
Homework Equations
m=.4kg
k=100N/m
A(max displacement)=.3m
The Attempt at a Solution
What is the maximum speed of the mass?
Vmax=ωA=√k/m(A)=√100/.4 (.3)=4.74m/s CORRECT?
What is the energy stored in gthe mass/spring system when its speed is half the maximum value?
PE=KE
1/2k(A)2 = 1/2m(v)2 so...
1/2(100)(.3)2 = 1/2(.4)(4.74)
4.50 = 4.50
so...1/2(.4)(4.74/2)2 = 1.12J IS THIS CORRECT?
What is acceleration of t he mass when its speed is half the maximum value?
amax=A(ω)2, but where would I use the speed half max value?
I would really like to learn this. It's been 20+ years since I have taken a Physics course.
Thank you!