A 1.00-kg glider attached to a spring with a force constant 36.0 N/m oscillates
ID: 1795211 • Letter: A
Question
A 1.00-kg glider attached to a spring with a force constant 36.0 N/m oscillates on a frictionless, horizontal air track. At 0, the glider is released from rest at x =-2.50 cm (that is, the spring is compressed by 2.50 cm). (a) Find the period of the glider's motion (b) Find the maximum values of its speed and acceleration. speed acceleration m/s (c) Find the position, velocity, and acceleration as functions of time. (Where position is in m, velocity is in m/s, acceleration is in m/s2, and t is in s. Use the following as necessary: t.) x(t) = v(t) = a(t) =Explanation / Answer
Time period is given as
T = 2 Pi/w = 2 Pi sqrt (m/k)
T = 1.05 s
Maximum velocity
1/2 k A^2 = 1/2m V^2
V = 15m/s
Maximum force = kA = ma
a = 36* 2.5 = 90 m/s^2
3) x(t) = - 2.5 cos ( wt)
v(t) = 2.5 w sin(wt)
a(t) = 2.5 w^2 cos(wt)
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