Calculate Distance & Velocity of Mass with Spring Compressed

In summary, the conversation discusses a problem involving a 1864 g mass on a horizontal surface with a coefficient of kinetic friction of 0.380. The mass is in contact with a compressed massless spring with a force constant of 631 N/m. When the spring is released, it does 3.15 J of work on the mass and returns to its equilibrium position. The task is to calculate the distance the spring was compressed and the velocity of the mass as it loses contact with the spring. The only known equation is that 1 joule is equal to 1 newton-meter.
  • #1
bkhofmann
17
0

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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  • #2
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?
 
  • #3
1j=1nm
 

What is the formula for calculating the distance of a mass with a compressed spring?

The formula for calculating the distance of a mass with a compressed spring is d = (kx^2)/(2m), where d is the distance, k is the spring constant, x is the compression distance, and m is the mass of the object.

How do you calculate the velocity of a mass with a compressed spring?

The formula for calculating the velocity of a mass with a compressed spring is v = √(k/m) * x, where v is the velocity, k is the spring constant, m is the mass of the object, and x is the compression distance.

What is the unit of measurement for the distance and velocity of a mass with a compressed spring?

The unit of measurement for the distance is typically meters (m) and the unit of measurement for the velocity is typically meters per second (m/s).

What is the significance of the spring constant in calculating the distance and velocity of a mass with a compressed spring?

The spring constant is a measure of the stiffness of the spring, and it plays a crucial role in determining the amount of force required to compress the spring and the resulting distance and velocity of the mass.

How does the mass of the object affect the distance and velocity when a spring is compressed?

The mass of the object has a direct impact on the distance and velocity when a spring is compressed. A heavier mass will require more force to compress the spring and will result in a greater distance and velocity, while a lighter mass will require less force and will result in a smaller distance and velocity.

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