ll Problem Three. Consider two planets: Neptune with a mass of m, × 1.02×10% kg and Uranus with a mass of m, = 8.68 x10*kg. The planets are a distance of d =1.62×10°km apart. Let Neptune be at the origin of a coordinate system, and Uranus be along the positive x-axis. (See the diagram below.) m2 X Find the location "x" where a test particle would accelerate toward the two planets with a force that is half due to Neptune, and half due to Uranus. Give an answer in 1010 km. 7.) (A) 5.6 B) 3.6 (C) 9.4 (D) 2.1 (E) 8.9 Consider if a large asteroid of mass m =1.00×10²ºkg is a distance d above m. Find the magnitude of the gravitational force the asteroid experiences due to both planets. Give an answer in units of 1010 N. 8.) (A) 35 (B) 83 (C) 71 (D) 53 (E) 98

ll Problem Three. Consider two planets: Neptune with a mass of m, × 1.02×10% kg and Uranus with a mass of m, = 8.68 x10*kg. The planets are a distance of d =1.62×10°km apart. Let Neptune be at the origin of a coordinate system, and Uranus be along the positive x-axis. (See the diagram below.) m2 X Find the location "x" where a test particle would accelerate toward the two planets with a force that is half due to Neptune, and half due to Uranus. Give an answer in 1010 km. 7.) (A) 5.6 B) 3.6 (C) 9.4 (D) 2.1 (E) 8.9 Consider if a large asteroid of mass m =1.00×10²ºkg is a distance d above m. Find the magnitude of the gravitational force the asteroid experiences due to both planets. Give an answer in units of 1010 N. 8.) (A) 35 (B) 83 (C) 71 (D) 53 (E) 98