Elastic potential energy - springs

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SUMMARY

The discussion focuses on calculating the speed of a 2.00-kg block after it is released from a spring with a force constant of 400 N/m, compressed by 0.220 m. The relevant equations include the conservation of energy principle, K1 + U1 = K2 + U2, where K represents kinetic energy and U represents potential energy. The user correctly identifies that K1 = 0, U1 = 1/2 kx^2, K2 = 1/2 mv^2, and U2 = 0, confirming that potential energy converts to kinetic energy as the block moves along a frictionless surface.

PREREQUISITES
  • Understanding of basic physics concepts such as kinetic and potential energy.
  • Familiarity with the conservation of energy principle.
  • Knowledge of spring mechanics, specifically Hooke's Law.
  • Ability to manipulate algebraic equations to solve for unknowns.
NEXT STEPS
  • Study the derivation and application of Hooke's Law in various contexts.
  • Learn how to apply the conservation of energy in different mechanical systems.
  • Explore the effects of friction on energy conservation in real-world scenarios.
  • Practice solving problems involving inclined planes and energy transformations.
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and energy conservation principles. This discussion is beneficial for anyone preparing for exams or needing clarification on spring dynamics and energy transformations.

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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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