..ooo Verizon 8:48 PM webassign.net 10 * 34% A 4.10-kg object is attached to a s
ID: 1771010 • Letter: #
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..ooo Verizon 8:48 PM webassign.net 10 * 34% A 4.10-kg object is attached to a spring and placed on frictionless, horizontal surface. A horizontal force of 24.0 N is required to hold the object at rest when it is pulled 0.200 m from its equilibrium position (the origin of the x axis). The object is now released from rest from this stretched position, and it subsequently undergoes simple harmonic oscillations. (a) Find the force constant of the spring. N/m (b) Find the frequency of the oscillations. Hz (c) Find the maximum speed of the object m/s (d) Where does this maximum speed occur? (e) Find the maximum acceleration of the object. m/s2 (f) Where does the maximum acceleration occur? x=± (g) Find the total energy of the oscillating system. (h) Find the speed of the object when its position is equal to one-third of the maximum value. m/s () Find the magnitude of the acceleration of the object when its position is equal to one-third of the maximum value. Need Help? An object attached to a spring vibrates with simple harmonic motion as described by the following figure. (em)Explanation / Answer
for the give nquestion
m = 4.1 kg
F = 24 N when xo = 0.2 m
hence spring constant = k
kxo = F
a. k = F/xo = 120 N/m
b. frequency of osscilation = f
f = sqroot(k/m)/2*pi
f = sqroot(120/4.1)/2*pi = 0.861031 Hz
c. maximum speed = Aw
A = 0.2 m
w = sqroot(k/m)
Vmax = 1.082 m/s
d. maximum speed occurs at x = 0 ( origin of the axis)
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