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Two balls of masses m1 and m2 are 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 m1 travels a distance s1 and stops. If the coefficients of friction between the balls and ground are same, the mass m2 stops after travelling the distance

(1) ${s}_{2}=\frac{{m}_{1}}{{m}_{2}}{s}_{1}$

(2) ${s}_{2}=\frac{{m}_{2}}{{m}_{1}}{s}_{1}$

(3) ${s}_{2}=\frac{{m}_{1}^{2}}{{m}_{2}^{2}}{s}_{1}$

(4) ${s}_{2}=\frac{{m}_{2}^{2}}{{m}_{1}^{2}}{s}_{1}$