Center of MassHard
Question
Two blocks of masses m and M are moving with speeds v1 and v2 (v1 > v2) in the same direction on the frictionless surface respectively, M being ahead of m. An ideal spring of force constant k is attached to the backside of M (as shown). The maximum compression of the spring when the block collides is :
Options
A.v1
B.v2
C.(v1 − v2)
D.None of above is correct.
Solution
Pi = mv1 + mv2
Pf = (m + M) v
Pi = Pf ⇒ v =
By energy consarvation
mv12 + 
Mv22 = (M + m) v2 + kx2
⇒ mv12 + Mv22 = (M + m)
solving x = (v1 − v2)
Pf = (m + M) v
Pi = Pf ⇒ v =
By energy consarvation
mv12 + Mv22 = (M + m) v2 + kx2⇒ mv12 + Mv22 = (M + m)
solving x = (v1 − v2)
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