A crown, apparently, made of gold is weighed in air, and the weight is 50 N. The crown is weighed again by hanging it from a string and submerging it in water. What reading will the meter give if the crown is true gold? (Au density = 19.3, water is 1.) I understand how the problem is set up. write all of the forces acting on the crown, so that's: tension, weight, and bouyant force. What i don't understand is the logic that they used to find the weight of the crown: (density of Au - density of water)/(density of Au) *mg Why is it in proportion to the density of gold?