Calculate Spring Constant and Force for Compression

[NewJersey]

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

 

[firefly_1]

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.
$$F_{x} = - kx$$

 

[ogb p]

a) The spring constant can be calculated using the formula k = E/x, where k is the spring constant, E is the energy stored and x is the distance compressed. Plugging in the given values, we get k = 25J/0.075m = 333.33 N/m.

b) The force required to compress the distance can be calculated using the formula F = kx, where F is the force, k is the spring constant and x is the distance compressed. Plugging in the values, we get F = 333.33 N/m * 0.075m = 25 N. Therefore, a force of 25 N is required to compress the spring by 7.5 cm.