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A 0.321kg mass is attatched to a spring with force constant of 13.3 N/m. If the mass is displaced 0.256 m from the Equalibrium and released, what is its speed when it is 0.128 m from equalibrium?
 one year ago
 one year ago
A 0.321kg mass is attatched to a spring with force constant of 13.3 N/m. If the mass is displaced 0.256 m from the Equalibrium and released, what is its speed when it is 0.128 m from equalibrium?
 one year ago
 one year ago

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raspberryjamBest ResponseYou've already chosen the best response.1
\[ \frac{1}{2}mv^2=\frac{1}{2}kx_{total}^2\frac{1}{2}kx^2\] where k is the spring constant and \[ x_{total}\] is the total displacement from equilibrium. \[x \] is the distance 0.128 m.
 one year ago

raspberryjamBest ResponseYou've already chosen the best response.1
Law of conservation of energy yo. Kinetic energy = (potential energy of spring at total displacement)  (potential energy of spring at whatever point you're trying to find the velocity at)
 one year ago

DecartBest ResponseYou've already chosen the best response.0
i thought the potential would be at total displacement like mgh
 one year ago

raspberryjamBest ResponseYou've already chosen the best response.1
Well you're trying to find the velocity at a specific point so you have to subtract it from the potential energy of when the spring is fully stretched which gives you the amt of potential energy transformed into kinetic energy.
 one year ago

raspberryjamBest ResponseYou've already chosen the best response.1
Also you can't use mgh in this case because it's a springbased problem...Hooke's law
 one year ago

DecartBest ResponseYou've already chosen the best response.0
do I convert the energy into velocity
 one year ago

DecartBest ResponseYou've already chosen the best response.0
I was saying mgh as an example
 one year ago

raspberryjamBest ResponseYou've already chosen the best response.1
No just solve for v in the equation above
 one year ago

raspberryjamBest ResponseYou've already chosen the best response.1
You can't just do total displacement because you're trying to find the velocity at a specific point which is when x=0.128 m. You aren't finding the displacement when x=0.256 m.
 one year ago

DecartBest ResponseYou've already chosen the best response.0
that worked! I do not quite understan how though.
 one year ago
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