When the radius and mass of a planet both are reduced to half and the mass of an object is also reduced to half then the value of g *?

Complete step-by-step answer: Hence, the correct answer is that If the radius of the earth is reduced to half of its present value, with no change in the mass, the acceleration due to gravity will become Four times to that of the original value which is option B.

What will be value of g if the mass of Earth is halved?

g=Gm1r2. This is the equation for the gravitational acceleration at some distance r from the center of a body (such as Earth). g2=Gm12(r2)2, which reduces to twice the value for g₁: g₂ = 2g₁.

What would happen to your weight on Earth if the radius of the earth tripled but its mass stayed the same?

Doubling the mass of the Earth would double your weight, since gravitational force is directly proportional to mass, but doubling the radius (which doubles if the diameter doubles) would decrease your weight by a factor of 1/4, since gravitational force is inversely proportional to the square of the radius.

What is universal law of gravitation express it mathematically?

The gravitational force between two bodies is directly proportional to the product of their masses and inversely proportional to the square of the distance between them. Mathematically, F = Gm1m1/r² Where, G is the universal gravitational constant, m1 and m1 are the masses separated by a distance r.

What would happen to your weight if Earth’s mass decreased to one half its original mass with no change in radius?

Weight of an object is the force with which earth attracts the body. In the given problem your weight will become half of original weight.

What would happen if the radius of Earth’s orbit decreases?

If you decrease it by a significant amount, it will gain an elliptical shape with the apoapsis being this point and the semi-major axis will consequently decrease, making the year, as we know, shorter than 365.249 days.

What will be the value of g if mass of the earth becomes four times?

So, if the mass alone is increased by four times (4M) the value of ‘g’ will become 4GM/r^2.

What change will be there in G at Earth if it shrinks so that its radius is reduced to half of its original value other factors remaining unchanged?

g=GMR2, If radius shrinks to half of its present value, then g will become four times.

What happens to the force of gravitational attraction between two small objects if the mass of each object is doubled and the distance between their centers is doubled?

If the mass of both of the objects is doubled, then the force of gravity between them is quadrupled; and so on. If the separation distance between two objects is doubled (increased by a factor of 2), then the force of gravitational attraction is decreased by a factor of 4 (2 raised to the second power).