A 0.48-kg object connected to a light spring with a force constant of 22.4 N/m o
ID: 1495817 • Letter: A
Question
A 0.48-kg object connected to a light spring with a force constant of 22.4 N/m oscillates on a frictionless horizontal surface. The spring is compressed 4.0 cm and released from rest.
(a) Determine the maximum speed of the object. _____m/s
(b) Determine the speed of the object when the spring is compressed 1.5 cm. _____m/s
(c) Determine the speed of the object as it passes the point 1.5 cm from the equilibrium position. _____m/s
(d) For what value of x does the speed equal one-half the maximum speed? _______m
Explanation / Answer
a)
given a = 0.04m
w = sqrt (k/m) = 6.8313 rad/sec
Vmax = Aw = 0.2732 m/sec
b)
conserving energy
0.5 k A^2 = 0.5 m V^2 + 0.5 k 0.015^2
V = 0.25331 m/sec
c)
speed will be same
V = 0.25331
d)
0.5 m Vmax^2 = 0.5 m (0.5 Vmax)^2 + 0.5 k x^2
x = 0.0346m
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.