Suppose that f is the inverse square force field below, where c is a constant. f(r) = cr |r|3 r = x i + y j + z k (a) find the work done by f in moving an object from a point p1 along a path to a point p2 in terms of the distances d1 and d2 from these points to the origin. incorrect: your answer is incorrect. (b) an example of an inverse square field is the gravitational field f = −(mmg)r/|r|3. use part (a) to find the work done by the gravitational field when the earth moves from aphelion (at a maximum distance of 1.52 108 km from the sun) to perihelion (at a minimum distance of 1.47 108 km). use the values m = 5.97 1024 kg, m = 1.99 1030 kg, and g = 6.67 ✕ 10−11 n·m2/kg2. (round your answer to two decimal places.) 1.77 correct: your answer is correct. ✕ 1032 j (c) another example of an inverse square field is the electric force field f = εqqr/|r|3. suppose that an electron with a charge of −1.6 ✕ 10−19 c is located at the origin. a positive unit charge (1 c) is positioned a distance 10−12 m from the electron and moves to a position half that distance from the electron. use part (a) to find the work done by the electric force field. use the value ε = 8.985 109. (round your answer to the nearest hundred joules.)