An object of mass 0.50 kg is transported to the surface of Planet X where the object's weight is measured to be 20 N.The radius of the planet is 6.0 × 10⁶ m.What is the mass of Planet X? (G = 6.67 × 10−¹¹ N ⋅ m²/kg²) A)1.80E+18 kg. B)5.40E+24 kg C)2.16E+25 kg D)1.80E+18 kg

Question

Quizplus · Accepted Answer

We can use the formula for weight, w = GMm/r^2, where w is the weight of the object, M is the mass of the planet, m is the mass of the object, G is the gravitational constant, and r is the radius of the planet. Solving for M, we get M = wr^2/Gm. Plugging in the given values, we get:
M = (20)(6.0 x 10^16)^2/(6.67 x 10^-11)(0.50) = 2.16 x 10^25 kg
Therefore, the mass of Planet X is 2.16 x 10^25 kg, which is answer choice C.

An Object of Mass 0