Use Hooke's law to find the spring constant. If it takes 8N to stretch the spring by 0.1m, then

I'm going to assume the spring is fixed to a ceiling, and that any stretching in the downward direction counts as movement in the positive direction. The spring's motion is then modeled by

where

is the position of the spring's free end as it moves up and down. Solving this is easy enough: the characteristic solution will be

Given that the spring is stretched to a length of 1m (a difference of 0.25m from its natural length), and is released with no external pushing or pulling, we have the two initial conditions

and

.


So the spring's motion is dictated by the function
Answer:
B
Step-by-step explanation:
To rationalise the denominator.
Multiply the numerator/denominator by the radical on the denominator.
The radical on the denominator is
, thus
Multiply the fraction by
→ B
Hundred thousands
ten thousands
thousands
hundreds
tens
ones
The required probability is
a) both are cups is 0.05
b) At least one cup is 0.19
c) One is a cup and the other is a sword is 0.06
<h3 /><h3>What is probability?</h3>
Probability can be defined as the ratio of favorable outcomes to the total number of events.
a) for both are cups
P= 12*11/48*47
p = 0.05
b) for At least one cup
p = 12*36/48*47
p = 0.19
c) for One is a cup and the other is a sword
p = 12*12/48*47
p = 0.06
Thus, the required probability is 0.05, 0.19, 0.06
Learn more about probability here:
brainly.com/question/14290572
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