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 2 years 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?
 2 years 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?

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raspberryjam
 2 years ago
Best 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.

raspberryjam
 2 years ago
Best ResponseYou've already chosen the best response.1Law 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)

Decart
 2 years ago
Best ResponseYou've already chosen the best response.0i thought the potential would be at total displacement like mgh

raspberryjam
 2 years ago
Best ResponseYou've already chosen the best response.1Well 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.

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

Decart
 2 years ago
Best ResponseYou've already chosen the best response.0do I convert the energy into velocity

Decart
 2 years ago
Best ResponseYou've already chosen the best response.0I was saying mgh as an example

raspberryjam
 2 years ago
Best ResponseYou've already chosen the best response.1No just solve for v in the equation above

raspberryjam
 2 years ago
Best ResponseYou've already chosen the best response.1You 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.

Decart
 2 years ago
Best ResponseYou've already chosen the best response.0that worked! I do not quite understan how though.
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