Mathematics · Electrostatics
Consider two identical metallic spheres of radius R, each having charge Q and mass m. Their centers have an initial separation of 4R. Both spheres are given an initial speed of u towards each other. Find the minimum value of u so that they can just touch each other. (Take k = 14πε0 and assume kQ2 > Gm2, where G is the Gravitational constant.)
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1√kQ22mR(1 - Gm22kQ2)
- 2√kQ22mR(1 - Gm2kQ2)
- 3√kQ24mR(1 + Gm2kQ2)
- 4√kQ24mR(1 - Gm2kQ2)✓
Correct answer
√kQ24mR(1 - Gm2kQ2)
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