SPH3U: Check # 8 DATE: The law of universal gravitation states that two objects of masses M (kg) and m (kg) whose centres are a distance r (m) apart experience a force of attraction given by FG = = GMm where rE=6.38x10 m, me=5.98x1024 kg, G=6.67x10-"IN m'/kg 1) What is the gravitational force of attraction between a) a 60.0 kg person and a 70.0 kg person whose centers are 1.0 m apart? [2.8 x 10-7 N] b) two 2000.0 kg cars whose centers are 2.5 m apart [4.3 x 10-5 N] 2) Determine the force of gravity at the earth's surface for someone with a mass of 75.0 kg [735 N] 3) If the force of gravity of a 70.0 kg person on the surface of the earth is 7.00x102 N, what happens to the force of gravity on this person if a) The mass of the earth is doubled (double the density) b) The mass of the person is doubled c) The distance between the person and the center of the earth is doubled 4) Calculate the gravitational field strength on the following planets a.) Jupiter b.) Mars c) Mercury gmars= 3.61 N/kg gjupiter 24.6 N/kg gmercury-3.31 N/kg 5. Complete the following Table Planet Mass (kg) Fg (N) Field strength (N/kg) Jupiter 57 Mercury 57 188