Acceleration of the block = 3.2 m/s
k = 200 N/m
m = 25 kg
s = 0.4 m
Now, in order to calculate the force that is applied to a spring, we use the formula:
F = ks
where k is the spring constant and s is the extension.
We also know that,
F = ma
where m is the mass and a is the acceleration.
Since both are the formulas for force, we can write as:
ma = ks
a = ks/m
Now substituting the values in the above equation,
a = 200 × 0.4
a = 3.2 m/s