(2014?Nanyang second model) as shown, one end of the light spring is fixed, the other end is connected to the slider B, B is stationary in the horizontal guide rail at point O, at this time the spring

(2014?Nanyang second model) as shown, one end of the light spring is fixed, the other end is connected to the slider B, B is stationary in the horizontal guide rail at point O, at this time the spring is in the original (1) set A, B quality are m, A just touch B speed for v1, touch the instant *** with the speed of v2 to A as the object of study, from P to O, by the functional relationship μmgl = < tr>
1
2
m
v20
?
1
2
m
v21<

Taking A and B as the objects of study, at the moment of collision, by the law of conservation of momentum

mv1=2mv2

Solve for v2=

1
2
< table cellspacing="0" cellpadding="0">
v20
?2μgl

(2) After touching, A and B move to the left from point O and return to point O. Let the maximum compression of the spring be x

By the functional relationship:

μ(2mg)?2x =

1
2
(2m)
v22

Solve: x = < table cellpadding="-1" cellspacing="-1" style="margin-right:1px">

<
v20
l
8
.

Therefore the maximum compression of the spring: x =

v20
16μg
?
l
8
.