Question 167: Gravitation

Question

Consider a planet in some solar system which has a mass double the mass of earth and density equal to the average density of earth. If the weight of an object on earth is W, the weight of the same object on that planet will be :

Accepted Answer

Density is same
$$M = {4 \over 3}\pi {R^3}\rho ,2m = {4 \over 3}\pi R{'^3}\rho $$
$$R' = {2^{1/3}}R$$
$$\omega  = {{GMm} \over {{R^2}}}$$
$${\omega _2} = {{G2Mm} \over {R{'^2}}}$$
$${\omega _2} = {2^{1/3}}\omega $$

Answer

2W

Answer

W

Answer

$${2^{{1 \over 3}}}$$W

Answer

$$\sqrt 2 $$W

Gravitation

Consider a planet in some solar system which has a mass double the mass of earth and density equal to the average density of earth. If the weight of an object on earth is W, the weight of the same object on that planet will be :

Choose the correct answer: