Two balls of masses $${{m}_{1}}$$ and $${{m}_{2}}$$ 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 $${{m}_{1}}$$ travels a distance $${{s}_{1}}$$ and stops. If the coefficients of friction between the balls and ground are same, the mass $${{m}_{2}}$$ stops after travelling the distance [BHU 1994]

Question

Two balls of masses $${{m}_{1}}$$ and $${{m}_{2}}$$ 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 $${{m}_{1}}$$ travels a distance $${{s}_{1}}$$ and stops. If the coefficients of friction between the balls and ground are same, the mass $${{m}_{2}}$$ stops after travelling the distance                           [BHU 1994]

TuteeHUB · Accepted Answer

$${{s}_{2}}=\frac{m_{2}^{2}}{m_{1}^{2}}{{s}_{1}}$$

TuteeHUB · Answer

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

TuteeHUB · Answer

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

TuteeHUB · Answer

$${{s}_{2}}=\frac{m_{1}^{2}}{m_{2}^{2}}{{s}_{1}}$$

1.	Two balls of masses \[{{m}_{1}}\] and \[{{m}_{2}}\] 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 \[{{m}_{1}}\] travels a distance \[{{s}_{1}}\] and stops. If the coefficients of friction between the balls and ground are same, the mass \[{{m}_{2}}\] stops after travelling the distance [BHU 1994]
A.	\[{{s}_{2}}=\frac{{{m}_{1}}}{{{m}_{2}}}{{s}_{1}}\]
B.	\[{{s}_{2}}=\frac{{{m}_{2}}}{{{m}_{1}}}{{s}_{1}}\]
C.	\[{{s}_{2}}=\frac{m_{1}^{2}}{m_{2}^{2}}{{s}_{1}}\]
D.	\[{{s}_{2}}=\frac{m_{2}^{2}}{m_{1}^{2}}{{s}_{1}}\]
Answer» D. \[{{s}_{2}}=\frac{m_{2}^{2}}{m_{1}^{2}}{{s}_{1}}\]

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