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1 nano-Coulomb. (b) Object 2 has a side length of 10 cm and is made up of tungsten metal (approximate density of 20 g/cm³)and bears a charge of 10 nano-Coulomb. If these objects are held apart, in deep outer space with nothing else around, at a distance of10 kilometres. Working under the classical models of scalar forms of gravitational and electrostatic interactions i.e. \text { Gravitational force, } F_{G}=G \cdot \frac{M_{1} M_{2}}{r^{2}} where, G is Newton's constant of gravitation (6.674 ×10-11 Nm?kg²), M1 and M2 are masses of two objects in kilograms, and r is the centre-to-centre distance between the objects, in meters. \text { Electrostatic force, } F_{B}=k \cdot \frac{q_{1} \cdot q_{2}}{r^{2}} k=\frac{1}{4 \pi D \varepsilon_{0}} where, ɛo is the permittivity of free-space or vacuum (8.854 x 1012 C'N"m?), D is the dielectric constant of the medium (= 1 for free-space), k is the Coulomb's contact (k = 9x10° N.m?.C2),q1 and q2 are the magnitudes of two charges in units of Coulomb and r is the centre-to-centre distance between the objects, in meters. Determine (to up to second decimal place): 5) The magnitudes of gravitational and electrostatic forces in Newton? (b) (1 MARK) Which will be the stronger of the two operating forces (gravitational or electrostatic)? (c) (1 MARK) By how much? i.e. (= stronger force / weaker force)

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