Elastic potential energy - springs

AI Thread Summary
The discussion revolves around calculating the speed of a block after being released from a compressed spring. The block, with a mass of 2.00 kg and a spring constant of 400 N/m, is compressed by 0.220 m before being released. The user is trying to apply the conservation of energy principle, where the potential energy stored in the spring converts to kinetic energy as the block moves. The correct equations are identified: K1 = 0, U1 = 1/2 kx^2, K2 = 1/2 mv^2, and U2 = 0, indicating that the initial kinetic energy is zero and the potential energy is fully converted to kinetic energy upon release. Understanding this energy conversion is key to solving the problem accurately.
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I know this problem has been asked before but i am trying to understand.

Homework Statement



A 2.00-kg block is pushed against a spring with negligible mass and force constant k = 400 N/m, compressing it 0.220 m. When the block is released, it moves along a frictionless, horizontal surface and then up a frictionless incline with slope 37 degrees

(a) What is the speed of the block as it slides along the horizontal surface after having left the spring?

Homework Equations



K1 + U2 = K2 + U2
Vel = 1/2 kx^2

K = 1/2mv^2

The Attempt at a Solution



If i think of K1 and U1 as the spring compressed then K2 + U2 is the box leaving the spring.
If that logic is correct.?

My teacher has taught us to do this:

K1 =
U1 =
K2 =
U2 =

Now, i am confused on how to fill it in. Then, i can use K1 + U2 = K2 + U2.
can you help me fill in and explain why? I think this will help me understand how to do the problem.

In my mind potential energy is converted to kinetic energy? So, saying K1 + U2 is spring compressed
K1 = 0
U1 = 1/2 kx^2
K2 = 1/2 mv^2
U2 = 0
 
Last edited:
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You've done it right.
The box isn't moving initially, so the kinetic energy is 0.
The box isn't compressing the spring when it leaves, so the potential energy is 0.
 
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