A glider with mass = 0.240 sits on a frictionless horizontal airtrack, connected to a spring with force constant = 4.50 . You pullon the glider, stretching the spring 0.110 , and then release itwith no initial velocity. The glider begins to move back toward itsequilibrium position (x=0).
What is the speed of the glider when it returns to ?

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For this week's physics lab, the experimental setup consistsof two gliders on a horizontal frictionless air track (see figurebelow). Each glider supports a strong magnet centered on top of it,and the magnets are oriented so they attract each other. The massof glider 1 and its magnet is 0.110 kg, and the mass of glider 2and its magnet is 0.214 kg. You and your lab partners areinstructed to take the origin to be at the left end of the trackand to center glider 1 at x1 = 0.093 m and glider 2 atx2 = 1.744 m. Glider 1 is 9.8 cm long, and glider 2 is20.8 cm long, and each glider has its center of mass at itsgeometric center. When the two gliders are released from rest, theywill move toward each other and stick.

(a) Predict the position of the center of each glider whenthey first touch. (Enter your answers from smallest tolargest.)

(b) Predict the velocity that the two gliders will continue tomove with after they stick.
3m/s

x1 =	1 m
x2 =	2 m

Two gliders are set in motion on a horizontal air track. A massless spring of force constant k is attached to the back end of the second glider. As shown in the figure, the first glider, of mass m1, moves to the right with speed v1, and the second glider, of mass m2, moves more slowly to the right with speed v2. When glider 1 touches the spring, superglue instantly and permanently makes it stick to its end of the spring. In terms of v1, v2, m1, m2, find the speed v of the system of the spring and both gliders when the spring is at maximum compression and (b) the maximum compression distant x_max of the spring. The motion after the gliders become attached consists of the combination of (1) the constant-velocity motion of the center of mass of the two-glider system found in part (a) and (2) simple harmonic motion of the gliders relative to the center of mass

A 1.00-kg glider attached to a spring with a force constant of 25.0 N/m oscillates on a frictionless, horizontal air track. At t = 0, the glider is released from rest at x = –3.00 cm (that is, the spring is compressed by 3.00 cm).

Find (a) the period of the glider’s motion, (b) the maximum values of its speed and acceleration, and (c) the position, velocity, and acceleration as functions of time.

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