Let f be an inverse square field, that is, f(r) = cr/|r|3 for some constant c, where r = xi + yj + zk. show that the flux of f across a sphere s with center the origin is independent of the radius of s.

Johnny rode his bike to a friends house 4 blocks down the street in his neighborhood. he immediately rode back home once he realized his friend was unable to play. what was his displacement for the total bike ride trip? what could you use as a reference point ? show the steps to solve this problem.