Weight and g: The weight of spaceman Speff at the surface of planet X, solely due to its gravitational pull, is 389 N. If he moves to a distance of 1.86 × 10⁴ km above the planet's surface, his weight changes to 24.31 N. What is the mass of planet X, if Speff's mass is 75.0 kg? (G = 6.67 × 10^-11 N ∙ m²/kg²) A) 2.99 × 10²⁴ kg B) 2.99 × 10¹⁸ kg C) 2.99 × 10¹⁷ kg D) 1.59 × 10¹⁸ kg

Question

Quizplus · Accepted Answer

Using the formula for gravitational force, F = G * (m1 * m2) / r^2, and the given weights at two different distances, we can solve for the mass of planet X. The calculations show that the mass of planet X is approximately 2.99 × 10^24 kg.

Weight and G: the Weight of Spaceman Speff at the Surface