Calculate Spring Constants: 0.400 and 0.225 Joules

In summary, the formula for calculating spring constants is k = F/x, where k is the spring constant, F is the applied force, and x is the displacement of the spring. To convert Joules to Newtons, you can divide the Joule value by the distance the spring was compressed or stretched. Spring constants can have negative values, indicating the opposite direction of the applied force. The potential energy of a spring can be calculated using PE = 1/2 kx^2, where PE is the potential energy, k is the spring constant, and x is the displacement of the spring. The two different spring constants given, 0.400 and 0.225 Joules, refer to two different springs with different stiffness or
  • #1
Roger_Hurst
1
0
Can someone please just explain to me how to do this? I feel helpless.

A spring has a force of 500.0 N/m. Show that the potential energy stored in the spring is as follows:

a.) 0.400 Joules when the spring is stretched 4.00cm from equilibrium.
b.) 0.225 Joules when the spring is compressed 3.00cm from equilibrium.
 
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  • #2
You should know the formula for a spring's potential 'stored' energy. Or you can derive if from the fact that the work done in dispacing a spring from its equilibrium oposition to a distance X is equal to the negative of its potential energy change.
 

Related to Calculate Spring Constants: 0.400 and 0.225 Joules

1. What is the formula for calculating spring constants?

The formula for calculating spring constants is k = F/x, where k is the spring constant, F is the applied force, and x is the displacement of the spring.

2. How do you convert Joules to Newtons?

To convert Joules to Newtons, you can divide the Joule value by the distance the spring was compressed or stretched. This will give you the force in Newtons.

3. Can spring constants have negative values?

Yes, spring constants can have negative values. This indicates that the spring is being compressed or stretched in the opposite direction of the applied force.

4. How do you calculate the potential energy of a spring?

The potential energy of a spring can be calculated using the formula PE = 1/2 kx^2, where PE is the potential energy, k is the spring constant, and x is the displacement of the spring.

5. Why are there two different spring constants given?

The two different spring constants, 0.400 and 0.225 Joules, are most likely referring to two different springs with different stiffness or spring constants. This allows for more precise calculations and gives a better understanding of the behavior of the springs.

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