spring 21.6 Question 2 to a vertical wall such that an object attached to the en
ID: 1395628 • Letter: S
Question
spring 21.6 Question 2 to a vertical wall such that an object attached to the end of the spring is free to slide orce of 5N, it causes a A spring is mounted on a very smooth horizontal surface. When we pull on the free end of the spring with a f displacement of 1em. Next we attach a 2.5kg object to the relaxe of 4cm, then release it. d spring and push it toward the wall a distance a. Find the force constant of the spring. b. Find the period and frequency of the motion. c. Find the maximum velocity the object will experienceExplanation / Answer
A)
here , spring stretch , x = 1 cm
x = 0.01 m
Now , as Force = k * x
5 = k * 0.01
k = 500 N/m
the spring consant is 500 N/m
b)
Now, frequency of motion is given as
f = sqrt(k/m)/2pi
f = sqrt(500/4)/(2pi)
f = 1.78 Hz
the frequency of motion is 1.78 Hz
Period = 1/f
Period = 1/1.78
Period = 0.562 s
the period is 0.562 s
C)
maximum velocity = 2*pi*f*A
maximum velocity = 0.04 * 2pi*1.78
maximum velocity = 0.447 m/s
the maximum velocity is 0.447 m/s
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