Why is the restoring force in Hooke's law a negative value?
2 answers:
Explanation:
Hooke's law :
According to the Hooke's law, The force is the directly proportional to the displacement of the string.
On the other hand,
In a simple harmonic motion, The restoring force is directly proportional to the displacement and acts in the opposite direction to that of displacement.
The restoring force is defined as,
Where,
F = restoring force
k = restoring constant
x = displacement
The negative sign shows the force opposes the string's displacement
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After x seconds, an object will fall 
where a is acceleration due to gravity and t is time
so when t=3.3
the distance it will fall is
=53.361m
it will fal 53.361 meters
so when t=3.3
the distance it will fall is
it will fal 53.361 meters
<u>Answer</u>
The combined displacement is 2km north
<u>Explanation</u>
Since displacement is a vector quantity, we take into account the direction.
Good for us all the displacement vectors are in the same dimension, so we can make north positive and south negative or vice-versa.
We now add to obtain,
This will simplify to
Therefore the combined displacement is 2km north