Problems For each problem fill in each box and show all work by the following: identifying the given, writing the correct formula, substituting, writing numerator and denominator (if applicable, solving in the correct unit. For all gravity problems, let G = 6.67 x 10-1l Nm2/kg2, mass of Earth = 6.0 x 1024 kg, radius of Earth = 6.4 x 10 m, mass of sun = 2.0 x 1050 kg, mass of moon = 7.4 x 1022 kg 10. If the force of gravity between two Earth-like planets is 2.0 x 1020 N,_ 98-716" calculate the distance between them. 0 9060 080000 667 40- 96x10 Given Formula Substituted Formula 9 = 6. 67 x 10 Nm 3 /kg2 Mass of earth- 60* 10 4 kg Fg = G(m1)(m2) ig = 6. 67x10" ( 2.0*103) ( 7 4x102 2) radius of Earth = 6. 4x10 ' r mass of sun = 2-0*1033 19 R2 ( 6 . 4 x 10 6 ) 2 max of moon - 7.4x 10 " /g numerator / denominator Answer with correct units 2 47 / X 10 m 1 1. Calculate force of gravity between the Earth and the moon if the distance between their centers is twice what it is now, or 2 x 384 million meters. 44 4x 10 46 - 40.96 x 10"( Given Formula Substituted Formula 2:41 * 10 G = 6. 6 7x 10 Nix /192 (6. 0*10 24 ) ( 7.4x1022kg Mass of eath = 6.0x1024/9 122 ( Fg ) radius of earth = 6.40'm (6- 4 *109) 2 (: 4 x 10 (9 ) 14.4x 10 46 Fg = G(m1)(m2) 98. 7136 4 mass of sun = 2.1/10 30 /60 R2 mass of moon = 7.140 27 ky numerator / denominator Answer with correct units. 0. 44 9 40 N m -719