1. Determine how much does the electric force between a pair of charged bodies change when: a. their separation is tripled b. their separation is reduced to 1/4 the original value c. the charge of both objects are doubled and their separation is doubled 2. The most common isotope of hydrogen contains a proton and an electron separated by about 5.0 x 10-m. The mass of a proton is approximately 1.7 x 10-2kg. The mass of the electron is approximately 9.0 x 10-31 kg. a. Use Newton's law of universal gravitation to calculate the gravitational force between the electron and proton in the hydrogen atom. G =6.67 x10"" N . m /kg. b. Use 1.6 x 10-19 C as the elementary unit of charge to calculate the force of attraction between the two particles. k = 8.99 x109 N . m'/C2. c. Determine how many orders of magnitude greater the electric force between the two particles is than the gravitational force between the two particles. Draw two arrows and label them Fe and Fg. Make the magnitudes of the two arrows of the same size difference in order of magnitude. 3. The four fundamental forces are (1) The nuclear strong force that holds protons and neutrons together in the nuclei of atoms. (2) The electroweak force that is an interaction between quarks confined to a distance of about 1% the diameter of an average atomic nucleus. (3) The gravitational force that pulls all mass, including two protons, together. (4) And the electrostatic force that attracts unlike charges and repels like ones. a. Rank the four forces from strongest to weakest. Justify your ranking using the statement above. b. A book is pushed horizontally across a table at constant velocity. Draw a force diagram and label the diagram using only the four fundamental forces