Vesta, a minor planet in the asteriod belt between mars and jupiter, has a mean radius of 525 km and mass of 2.59 x 10^20 kg. the dawn spacecraft (m = 1240 kg) orbited vesta in 2011 & 2012.
find the local acceleration due to gravity at the mean surface of vesta. what is the fractional change if instead you are at the top of the highest point on the surface, an additional 22 km from the center of gravity. assume all of vesta's mass is concentrated at its center of gravity.

(a) calculate the number of electrons in a small, electrically neutral silver pin that has a mass of 10.0 g. silver has 47 electrons per atom, and its molar mass is 107.87 g/mol. (b) imagine adding electrons to the pin until the negative charge has the very large value 1.00 mc. how many electrons are added for every 109 electrons already present

What is the temperature in degrees celsius of a substance with a tempature of 49k

To understand the electric potential and electric field of a point charge in three dimensions consider a positive point charge q, located at the origin of three-dimensional space. throughout this problem, use k in place of 14? ? 0. part adue to symmetry, the electric field of a point charge at the origin must point from the origin.answer in one word.part bfind e(r), the magnitude of the electric field at distance r from the point charge q.express your answer in terms of r, k, and q. part cfind v(r), the electric potential at distance rfrom the point charge q.express your answer in terms of r, k, and q part dwhich of the following is the correct relationship between the magnitude of a radial electric field and its associated electric potential ? more than one answer may be correct for the particular case of a point charge at the origin, but you should choose the correct general relationship. a)e(r)=dv(r)drb)e(r)=v(r)rc)e(r)=? dv(r)drd)e(r)=? v(r)r