question_answer 56)

  How does the weight of an object vary with respect to mass and radius of the earth? In a hypothetical case, if the diameter of the earth becomes half of its present value and its mass becomes four times of its present value, then how would the weight of any object on the surface of the earth be affected?

Answer:

  Let radius and mass of the earth be R, M respectively and mass of an object be m. Weight of the object, ?.1 According to the question, the diameter of the earth becomes half of its present value.  So, radius also becomes half of its initial values So,                          Again mass of radius also becomes half of its initial values So,                         Now, weight of the object                                 Put  and M' = 4 m in above formula, we get                                                                                                 From Eq, (i). we get            w' = 16 w Thus, weight of the object wilt become 16 times of its original weight.