a. If the distance between the two objects is reduced to half, the force of gravitation between them will increase by a factor of four. This is because the force of gravitation is inversely proportional to the square of the distance between the objects. So, if R is reduced to R/2, the force becomes G*m1*m2/(R/2)^2 = 4*G*m1*m2/R^2, which is four times the original force.

b. The value of g (acceleration due to gravity) on the moon is about 1/6th that of the earth. This is because the moon has a much smaller mass than the earth, and the force of gravity is directly proportional to the mass of the object.

c. Even though the moon attracts the earth, the earth does not move towards the moon because of its much larger mass and the inertia associated with it. The earth does feel the gravitational pull of the moon, which is what causes tides on earth.

d. The universal law of gravitation is important because it explains how all objects in the universe interact with each other. It explains everything from the motion of planets in the solar system to the tides on earth. It is a fundamental principle of physics that helps us understand the universe.

Question

a. If the distance between the two objects is reduced to half, the force of gravitation between them will increase by a factor of four. This is because the force of gravitation is inversely proportional to the square of the distance between the objects. So, if R is reduced to R/2, the force becomes G*m1*m2/(R/2)^2 = 4*G*m1*m2/R^2, which is four times the original force.

b. The value of g (acceleration due to gravity) on the moon is about 1/6th that of the earth. This is because the moon has a much smaller mass than the earth, and the force of gravity is directly proportional to the mass of the object.

c. Even though the moon attracts the earth, the earth does not move towards the moon because of its much larger mass and the inertia associated with it. The earth does feel the gravitational pull of the moon, which is what causes tides on earth.

d. The universal law of gravitation is important because it explains how all objects in the universe interact with each other. It explains everything from the motion of planets in the solar system to the tides on earth. It is a fundamental principle of physics that helps us understand the universe.

Knowee AI · Accepted Answer

a. If the distance between the two objects is reduced to half, the force of gravitation between them will increase by a factor of four. This is because the force of gravitation is inversely proportional to the square of the distance between the objects. So, if R is reduced to R/2, the force becomes G*m1*m2/(R/2)^2 = 4*G*m1*m2/R^2, which is four times the original force.

b. The value of g (acceleration due to gravity) on the moon is about 1/6th that of the earth. This is because the moon has a much smaller mass than the earth, and the force of gravity is directly proportional to the mass of the object.

c. Even though the moon attracts the earth, the earth does not move towards the moon because of its much larger mass and the inertia associated with it. The earth does feel the gravitational pull of the moon, which is what causes tides on earth.

d. The universal law of gravitation is important because it explains how all objects in the universe interact with each other. It explains everything from the motion of planets in the solar system to the tides on earth. It is a fundamental principle of physics that helps us understand the universe.

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