NEWTON'S LAW OF UNIVERSAL GRAVITATION Activity 5. Problem Set Solve the following problems in a separate paper. Show your solutions systematically and clearly. 1. Determine the force of attraction between the earth and a 70 kg physics student if the student is in an airplane at 40000 feet above earth's surface. This would place the student a distance of 6.39 x 10' m above earth's center. 2. Find the mass of one object if the magnitude of the gravitational force acting on each particle is 2 x 10*, the mass is 25 kg and the objects are 1.2 meters apart. 3. Find the gravitational potential energy of the earth due to the sun if the mass of the earth is 5.98 x 10#4 kg and the mass of the sun is 1.99 x 10" kg and the earth is 150 million km away from the sun. 4. Calculate the gravitational field if the gravitational force and mass of an object are 10 N and 3 kg respectively? 5. Compute the escape velocity for the Earth if its mass is 5.98 x 10" kg, its radius is 6.37 x 10* m, and G = 6.67 x 10' " N.m2/kg