Two balls of masses m1and m2are separated from each other by a powder charge placed between them. The whole system is at rest on the ground. Suddenly the powder charge explodes and masses are pushed apart. The mass m1travels a distance s1and stops. If the coefficients of friction between the balls and ground are same, the mass m2 stops after travelling the distance
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a
m1m2s1
b
m2m1s1
c
m22m12s1
d
m12m22s1
answer is D.
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Detailed Solution
from conservation of linear mometum they will have same momentum but in opposite directions their kinetic energy p22m from work energy theorem p22m= μmgs s is inversely proportionoal to m2