A 1.00-kg glider attached to a spring with a force constant 9.0 N/m oscllates on a frictionless, horizontal air track. At tw 0, the glider is released from rest at -2.00 cm (that is, the spring is compressed by 2.80 cm). (a) Find the period of the glider's motion. 2.09 (b) Find the maximum values of its speed and acceleration. x m/s xms 8.4 acceleration 25 2 speed (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/s, and t is ins. Use the following as necessary: t.) t) -2.8 sin(3r) ve) -8.4 sin( 31) a(r) -25.2 cos (3r)

Principles of Physics: A Calculus-Based Text
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Chapter12: Oscillatory Motion
Section: Chapter Questions
Problem 10P: A 1.00-kg glider attached to a spring with a force constant of 25.0 N/m oscillates on a...
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A 1.00-kg glider attached to a spring with a force constant 9.0 N/m oscillates on a frictionless, horizontal air track. Att0, the glider is released from rest at 20 cm (that is, the
spring is compressed by 2.80 cm).
(a) Find the period of the glider's motion.
2 09
(b) Find the maximum values of its speed and acceleration.
x m/s
84
acceleration 25 2
speed
(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/s, and t is ins. Use the following as
necessary: t.)
x() - 2.8 sin(3r)
v) - 8.4 sin(31)
a(r)--25.2 cos (3r)
Transcribed Image Text:A 1.00-kg glider attached to a spring with a force constant 9.0 N/m oscillates on a frictionless, horizontal air track. Att0, the glider is released from rest at 20 cm (that is, the spring is compressed by 2.80 cm). (a) Find the period of the glider's motion. 2 09 (b) Find the maximum values of its speed and acceleration. x m/s 84 acceleration 25 2 speed (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/s, and t is ins. Use the following as necessary: t.) x() - 2.8 sin(3r) v) - 8.4 sin(31) a(r)--25.2 cos (3r)
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