Two identical metal balls

PHYSICS · Multi-part · CBSE · Physics · Gravitation · Gravitation

Problem

Two identical metal balls, each of mass 2.0 kg2.0\,\text{kg}, are initially 0.40 m0.40\,\text{m} apart and attract each other with force F1F_1. Both masses are then reduced by 20%20\% through machining, and simultaneously the centre-to-centre separation is decreased by 10%10\%. (i) Express the new gravitational force F2F_2 as a multiple of F1F_1. (ii) Hence find the percentage change in the force (give your answer correct to the nearest whole number).

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