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)
Create a free account to view solution
View Solution FreeMore Center of Mass Questions
A disc is placed on the surface of a pond which has refractive index 5/3. A source of light is placed 4m below the surfa...A body of mass 1 kg moving in the x-direction, suddenly explodes into two fragments of mass 1/8 kg and 7/8 kg. An instan...In the arrangement shown, the pendulum on the left is pulled aside. It is then released and allowed to collide with othe...In an elastic collision in absence of external force, which of the following is/are correct :...A cylinder of height 20 m is completely filled with water. The velocity of efflux of water (in ms-1) through a small hol...