What is the maximum speed of a 4.00kg mass attached to a spring with k=20.0N/m?

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SUMMARY

The maximum speed of a 4.00 kg mass attached to a spring with a spring constant (k) of 20.0 N/m, when pulled 0.300 m from equilibrium and released, is 0.671 m/s. The calculation involves determining the work done by the spring using the formula Wspring = (1/2)kx², resulting in W = 0.9 J. This work is converted entirely into kinetic energy at maximum speed, leading to the equation Wspring = (1/2)mv², which confirms the maximum speed as 0.671 m/s after solving for v.

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Homework Statement


I'm sorry to bother anyone but this question is really driving me insane. It's one of my question on my notes and I've been trying to re-solve it.
It's in oscillatory unit and apparently we have to know what the speed is.

A 4.00kg mass is an horizontal frictionless surface attached to a spring with k=20.0N/m. The mass is pulled 0.300m from a equilibrium, then let go.

Homework Equations


max speed

The Attempt at a Solution

The answer is suppose to be 0.671m/s but I keep getting 0.612m/s...

..Never mind I figured it out.
 
Last edited:
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Wspring=(1/2)kx^2
so W=.5*20*.3^2=.9

since the max speed is when all the energy is kinetic you can say the Wspring=(1/2)mv^2
so .9=.5*4*v^2

.45=v^2
sqrt(.45)=.6708 or .671
 
raindrops said:
Wspring=(1/2)kx^2
so W=.5*20*.3^2=.9

since the max speed is when all the energy is kinetic you can say the Wspring=(1/2)mv^2
so .9=.5*4*v^2

.45=v^2
sqrt(.45)=.6708 or .671

Thank you for replying, I'm very happy but I already solved it.

I just remember, when you told me, that kinetic energy is in there since it's in motion. Again, thank you and I'm very sorry.
 

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