Acrate attached to a spring is being pulled across a flat frictionless surface. the spring is stretched 0.82 m, the crate is accelerating at 0.93 m/s squared and the mass of the crate is 40 kg. what is the spring constant?

Hello!

We have the following data:
 
F (force) =? m (mass) = 40 kg
a (acceleration) = 0.93 m / s²
k (spring constant) =?
x (spring deformation) = 0.82 m

Let us first find the applied force, through the following formula:







Now let's find the spring constant, using Hooke's formula












We have a spring constant with about 45 N / m

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