ANSWER THE FOLLOWING PROBLEMS CORRECTLY. SHOW YOUR SOLUTIONS.

Newton's Law of Universal Gravitation, Weight, and Gravitational Field

What is asked? What is the gravitational force between two 15 kg packages that are 0.35 m aart? What is/are given? M1 = 15 kg; M2 = 15 kg; D = 0.35 m The value of the Universal Gravitational Constant is G = 6.674 x 10'11Nm2/ k I 2 Solution solving for unknown 12 = Gmlm2 2 What is asked? What is the gravitational force between two people weighing 50 kg and 45 kg uectivel , sittin_ to_ether at 0.01 m a nart? What is/are given? M1 = 50 kg; M2 = 45 kg; D = 0.01 m The value of the Universal Gravitational Constant is G = 6.674 x 10'11Nm2/ k I 2 Solution solving for unknown _ Gmlmz E9 _ 2 Answer What is asked? What is the gravitational force between two people in heated disagreement weighing 50 kg each and are 5 m apart across the room? What is/are given? M1 = 50 kg; M2 = 50 kg; D = 5m The value of the Universal Gravitational Constant is G = 6.674 x 10-11 Nm2/ kg2 Solution solving for unknown Fa = Gmim2 AnswerWhat is asked? Compute g for the surface of the moon. Its radius is 1.7 x 106 m and its mass is 7.4 x 1022 kg What is/are given? Solution M 2 7.4 x 1022 kg ; radius 2 1.7 x 10\" m The value of the Universal Gravitational Constant is G = 6.674 x 10'11Nm2/ kg solving for unknown _GM 9-7 Answer What is asked? Calculate the gravitational acceleration on the surface of a planet that has 1/2 the mass of Earth and 1/10 the radius of Earth 6.0 x 1024 kg 6.4 x 106 m What is/are given? ME = T = 3.0 x 10\" kg; radius of earth = = 0.64 x 106 m The value of the Universal Gravitational Constant is G = 6.674 x 10'11Nm2/ kg2 Solution solving for unknown GM 9:7 What is asked? An object whose mass is 43kg is hanging on a thin wire. The object has a gravitational potential energy of 3160.5J. How high is the object above the ground? What is/are given? 9.8 N PEg = 3160.5 J; g = kg ; m = 43 kg Solution solving for unknown PEg = mgh Answer What is asked? An object has a gravitational potential energy that is 833 J? Its height above ground is 4.25 m. What is its mass? What is/are given? PEg = 833 J; g = 9.8 N kg ; h = 4.25 m Solution solving for unknown PEg = mgh AnswerWhat is asked? What is the gravitational potential energy of a 150kg object suspended 5m above the earth's surface? What is/are given? p59 :7; g = 9:3"; m = 150 kg: h = 5m Solution solving for unknown PEg = mgh Answer | What is asked? An object has a gravitational potential energy of 41772.5] and has mass of 1550kg. How high is it above the ground? What is/are given? PEg = 41,772.51; 9 = 9:" ; m = 1,550 kg: h =? Solution solving for unknown PE = mgh Answer What is asked? Determine the speed of the earth in its orbit about the sun. The mass of the earth is M5 = 1.99 x 1030 kg. The mean orbital radius of the earth around the sun is res = 1.5 x 1011 m. The speed of the earth around the sun weS = GrMS=? What is/are given? M5 = 1.99 x 1030 kg; res = 1.5 x 1011 m The value of the Universal Gravitational Constant is G = 6.67x 10'11Nm2/kg2 Solution solving for unknown _ GMS ves res