Calculate Spring Constant and Force for Compression

AI Thread Summary
To calculate the spring constant, use the formula for elastic potential energy, E = (1/2)kx², where E is 25J and x is 0.075m. Rearranging the equation allows for the determination of the spring constant k. For the force required to compress the spring, apply Hooke's Law, F = kx, using the spring constant obtained in the first part. This approach provides a clear method to find both the spring constant and the force for compression. Understanding these calculations is essential for applications involving springs in physics.
NewJersey
Messages
35
Reaction score
0
A spring constant stores 25J of energy when compressed by 7.5cm
a) Find the spring constant
b) Find the force to compress the distance
 
Physics news on Phys.org
For part (a), you'll need to know the equations to find the spring constant based off of the energy [E] that is exerted to move it the distance [x] it moves, which is also equal to its amplitude [A].

For (b), the force exerted can be found by using the spring constant value you found in (a) and muliplying it by the distance it is compressed.
F_{x} = - kx
 

Thread 'Errors and significant figures'

I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
View full post »
Thread 'A cylinder connected to a hanging mass'

Thread 'A cylinder connected to a hanging mass'

Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
View full post »

Similar threads

Distribution of Energy when work is done on a system of 2 masses connected by a spring
Replies
17
Views
1K
Calculating the spring force constant K
Replies
14
Views
2K
Building a Marble Catapult
Replies
3
Views
872
Why can we move the spring with constant speed when we apply a force?
Replies
29
Views
2K
What is a spring constant of 20 N/m used for?
Replies
18
Views
2K
Energy stored in a double spring system
Replies
17
Views
1K
Why is my method for finding the spring constant incorrect?
Replies
17
Views
3K
Which Spring Constants to Use for Magnet Oscillation Experiment?
Replies
1
Views
746
What is the Relationship Between Force and Spring Constant?
Replies
14
Views
3K
Spring Problem Involving Variables and Constants Only
Replies
3
Views
1K

Hot Threads

Recent Insights

Back
Top