What will be the value of acceleration due to gravity on the surface of the earth if the radius of the earth suddenly decreases to 60% of its present value, keeping the mass of the earth unchanged?(a) 9.81 m/s^2(b) 5.89 m/s^2(c) 16.35 m/s^2(d) 27.25 m/s^2This question was addressed to me in my homework.My question is from Universal Law of Gravitation in portion Gravitation of Physics – Class 11

What will be the value of acceleration due to gravity on the surface o

1.	What will be the value of acceleration due to gravity on the surface of the earth if the radius of the earth suddenly decreases to 60% of its present value, keeping the mass of the earth unchanged?(a) 9.81 m/s^2(b) 5.89 m/s^2(c) 16.35 m/s^2(d) 27.25 m/s^2This question was addressed to me in my homework.My question is from Universal Law of Gravitation in portion Gravitation of Physics – Class 11
Answer» The correct option is (d) 27.25 m/s^2 For explanation I WOULD say: From Newton’s LAW of gravitation, we have; g = (GM1)/R^2 Since the radius is REDUCED to 60% of its original value; The NEW radius R’ = 0.6 x R Therefore; g’ = (GM1)/(0.6*R) ^2 g’ = g/(0.6) ^2 = 9.81 / (0.6 x 0.6) g’ = 27.25 m/s^2.

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