Conservation of Energy Problem involving a spring

AI Thread Summary
The discussion revolves around a physics problem involving a block dropped onto a spring, requiring calculations for the ball's speed upon impact, the spring constant, and the height it reaches after being compressed. The user initially applies energy conservation principles but struggles with two unknowns: mass (M) and spring constant (k). Suggestions include expressing the spring constant as a multiple of the mass to simplify calculations. The importance of knowing the mass of the ball is emphasized for solving the equations effectively. The conversation highlights the challenges of solving energy conservation problems with multiple variables.
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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