A spherical asteroid of mass 1500 kg has a radius of 15.0 m. Calculate how much gravitational force the asteroid exerts on a nearby tiny space rock of 1.50 kg if the space rock is kept at a distance of i) 15.5 m and ii) 10.0 from the center of the asteroid. [Hint: For simplicity, assume that the space rock is a point particle.]

• A. i) F_{15.5 m} = 2.15 × 10^-10 Nii) F_{10.0 m} = 4.45 × 10^-10 N
• B. i) F_{15.5 m} = 2.15 × 10^-10 Nii) F_{10.0 m} = 1.25 × 10^-10 N
• C. i) F_{15.5 m} = 6.25 × 10^-10 Nii) F_{10.0 m} = 4.45 × 10^-10 N
• D. i) F_{15.5 m} = 6.25 × 10^-10 Nii) F_{10.0 m} = 1.25 × 10^-10 N