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Between 1497 and 1500, amerigo vespucci embarked on two voyages to the new world The average distance between the two is 1.5 × 1011 m. According to vespucci's letters, the first voyage lasted 43 days longer than the second voyage, and the two voyages combined lasted a total of 1,003 days

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How many days did the second voyage last? And of the sun = 2 × 1030 kg Ncert question 6 what happens to the force between two objects, if (i) the mass of one object is doubled

(ii) the distance between the objects is doubled and tripled?

The tension in the cord is equal to the weight of object 2, which is given by t = m₂g, where m₂ is the mass of object 2 and g is the acceleration due to gravity. When distance between the objects is tripled, the force become (1//9) of its previous value (iii) when masses of both object are doubled, force becomes 4 times. If both masses m1 and m2 are doubled (2m1 and 2m2), the new force becomes f = g (2m1 * 2m2)/r² = 4g (m1 * m2)/r²

Thus, the force quadruples.in summary, doubling one mass doubles the force, while doubling both masses quadruples the force. Thus, if the masses of the object are doubled the force between the object quadruples Unlike the electrostatic force, gravitational force is independent of the medium between the particles It is conservative in nature

If the masses of both the objects are doubled, then f''' = 𝐺 × (2 𝑚 1) × (2 𝑚 2) 𝑅 2 = 4 𝐺 𝑚 1 𝑚 2 𝑅 2 = 4f thus, the gravitational force between the two objects becomes 4 times.

As per the universal law of gravitation, every object in the universe attracts every other object by the force of attraction which is directly proportional to the product of masses of the objects and is inversely proportional to the square of the distance between them. When mass of one object is doubled Hence, when the mass of one object is doubled, the gravitational force increases two times Hence, when the distance between the objects is doubled, the gravitational force becomes one fourth of its original force.

Calculate the force of gravitation between the earth and the sun, given that the mass of earth = 6 × 1024 kg