Question

You weigh 650 N.

What would you weigh if the Earth were
five times as massive as it is and its radius
were five times its present value?
Answer in units of N.

Answer 1

130 N

Step-by-step explanation:

g is directly proportional to the mass of the planet (M) and indirectly proportional to the square of the radius of the planet (R²).

g = GM/R²

G = gravitational constant

Therefore if Earth increases in mass by X5 and increases in radius by X5, then the value of g (9.8 m/s²) changes by a factor of 5/5² = 5/25 = 1/5.

Weight = W = mg

(650N)(1/5) = 130 N