Conservation of Energy Problem involving a spring

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SUMMARY

The discussion revolves around a conservation of energy problem involving a block dropped from a height of 1.3 meters onto a spring that compresses 6 centimeters. The key equations utilized include M g Y = (1/2) M V^2 for calculating the velocity of the ball upon impact and (1/2) M V^2 + M g X = (1/2) kX^2 for determining the spring constant k. The challenge presented is the inability to solve for both the mass M and the spring constant k simultaneously without additional information. Participants suggest calculating k as a multiple of M to progress in the solution.

PREREQUISITES
  • Understanding of conservation of energy principles
  • Familiarity with spring mechanics and Hooke's Law
  • Ability to manipulate algebraic equations
  • Knowledge of gravitational potential energy calculations
NEXT STEPS
  • Calculate the velocity of the ball using M g Y = (1/2) M V^2
  • Explore the relationship between mass and spring constant using (1/2) M V^2 + M g X = (1/2) kX^2
  • Research methods for determining spring constants experimentally
  • Study the effects of varying mass on spring compression and rebound height
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and energy conservation, as well as educators looking for practical examples of spring dynamics in problem-solving scenarios.

myoplex11
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Homework Statement


a block is held 1.3m above a spring and is dropped.The spring compresses 6cm before sending the ball into the air. How fast is the ball going when it hits the spring? What is the spring constant? How high in the air does the ball go after hitting the spring?


Homework Equations





The Attempt at a Solution


i can use the following to get the velocity where Y=1.3m and the masses cancel out
M g Y = (1/2) M V^2
To find the k i think i need to use the following equation:
(1/2) M V^2 + M g X = (1/2) kX^2
but i have 2 unknowns M and k iam stuck what to i do?
 
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myoplex11 said:
…How fast is the ball going when it hits the spring? What is the spring constant?

To find the k i think i need to use the following equation:
(1/2) M V^2 + M g X = (1/2) kX^2
but i have 2 unknowns M and k iam stuck what to i do?

Yup, you're absolutely right … you do need to know the mass of the ball! :biggrin:

I can only suggest you calculate k as a multiple of M. :frown:
 

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