Women often suffer from back pains during pregnancy. Let usinvestigate the cause of these back pains, assuming that thewoman's mass is 60kg before pregnancy. Typically, women gain about10 kg during pregnancy due to the weight of the fetus, placenta,amniotic fluid, etc. To make the calculation easy, but stillrealistic, we shall model the unpregnant woman as a uniformcylinder of diameter 30cm. We can model the added mass due to thefetus as a 10kg sphere 25cm in diameter and centered about 5 cmoutside the woman's original front surface. (a) By how much doesher pregnancy change the horizontal location of the woman's centerof mass? (b) How does the change in part (a) affect the way thepregnant woman must stand and walk? In other words, what must shedo to her posture to make up for her shifted center of mass? (c)can you explain why she might have backaches?