Calculate Distance & Velocity of Mass with Spring Compressed

AI Thread Summary
To calculate the distance the spring was compressed, the work done by the spring (3.15 J) can be equated to the potential energy stored in the spring, using the formula W = 0.5 * k * x^2, where k is the spring constant and x is the compression distance. The velocity of the mass as it loses contact with the spring can be found using the work-energy principle, where the work done on the mass equals its kinetic energy at that moment. The mass (1864 g) and the coefficient of kinetic friction (0.380) are relevant for understanding the motion on the surface. Understanding the definition of a Joule (1 J = 1 Nm) is also important for these calculations.
bkhofmann
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Homework Statement


A 1864 g mass is on a horizontal surface with mk = 0.380, and is in contact with a massless spring with a force constant of 631 N/m which is compressed. When the spring is released, it does 3.15 J of work on the mass while returning to its equilibrium position. Calculate the distance the spring was compressed.

What is the velocity of the mass as it loses contact with the spring?


Homework Equations





The Attempt at a Solution


None yet

Would someone help me out with a starting point or some hints on this, thanks!
 
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bkhofmann said:

Homework Statement


A 1864 g mass is on a horizontal surface with mk = 0.380, and is in contact with a massless spring with a force constant of 631 N/m which is compressed. When the spring is released, it does 3.15 J of work on the mass while returning to its equilibrium position. Calculate the distance the spring was compressed.

What is the velocity of the mass as it loses contact with the spring?

Homework Equations



The Attempt at a Solution


None yet

Would someone help me out with a starting point or some hints on this, thanks!

What is the definition of a Joule?
 
1j=1nm
 

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