Two gliders are set in motion on an air track. A spring of force constant k is a
ID: 2059788 • Letter: T
Question
Two gliders are set in motion on an air track. A spring of force constant k is attached to the back end of the second glider. As shown in the figure below, The first glider, of mass m1, moves to the right with a speed v1, and the second glider, of mass m2, moves more slowly to the right with a speed, v2. When m1 collides with the spring attached to m2, the spring compresses by a distance xmax, and the gliders then move apart again. In terms of v1, v2, m1, m2, and k. Find the the following.
(a) speed v at maximum compression (Use any variable or symbol stated above as necessary.)
v =
(b) the maximum compression xmax (Use any variable or symbol stated above as necessary.)
xmax =
(c) the speed of each glider after m1 has lost contact with the spring (Use any variable or symbol stated above as necessary.)
v1f =
v2f =
Explanation / Answer
a) conserving momentum, m1*v1 + m2*v2 = (m1+m2)*v so, v = (m1*v1+m2*v2)/(m1+m2)Related Questions
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