Two blocks of masses M and 3M are placed on a flat, frictionless surface as show
ID: 1402870 • Letter: T
Question
Two blocks of masses M and 3M are placed on a flat, frictionless surface as shown below. A light spring is attached to one block and the blocks are pushed together compressing the spring between them. A light spring holds them stationary in this configuration. You cut the string and observe that the block of mass 3M moves to the right with speed 2 m/s. What is the speed of the block of mass M?
(please show solution)
Practice Exam s-Summer x 9 https://rmycourses purdue × Fina Key and Solutions x Final ex key solutions p ,'GChegg.com https://mycourses.purdue.edu/bbcswebdav/pid5495078-dt-content-rid-18421115-1/courses/wl-13202.201530/practicefinal.pdf 17. Two blocks of masses M and 3M are placed on a flat, frictionless surface as shown below. A light spring is attached to one block and the blocks are pushed together compressing the spring between them. A light spring holds them stationary in this configuration. You cut the string and observe that the block of mass 3M moves to the right with speed 2 m/s. What is the speed of the block of mass M? 1) 1 m/s 2)6m/s 3) 4 m/s 4)20 m/s 5) 3m/s Before 3M 2m/s After LS all 1 2:16 PM 8/4/2015Explanation / Answer
use momentum conservation
initially system at rest
Pi = 0
Pf = M1v1 + M2v2
M1 = M
M2 = 3M
0 = M1v1 + M2v2
M1v1 = -M2v2
Mv = -3M*2
v = -6 m/s
negative sign indicating that block is going in opposite direction of 3M block
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