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A Nonconducting Sphere of Mass 18

Question 88

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A nonconducting sphere of mass 18.5 kg and diameter 25.0 cm has 8.10 × 1015 electrons
removed from it. The points of removal are spread uniformly throughout the volume of
this sphere. A tiny neutral plastic ball of mass 0.120 g is placed just outside the surface of
the large sphere and is then released. How many electrons must be removed from the
plastic ball so that its initial acceleration just after being released will be 1525 m/s²? You  can neglect gravity. (e=1.6×1019C,k=1/4πε0=8.99×109 Nm2/C2)\text { can neglect gravity. } \left( e = 1.6 \times 10 ^ { - 19 } \mathrm { C } , k = 1 / 4 \pi \varepsilon _ { 0 } = 8.99 \times 10 ^ { 9 } \mathrm {~N} \cdot \mathrm { m } ^ { 2 } / \mathrm { C } ^ { 2 } \right)

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