Need help with problem 7 and 8

6. ( 9 points) Remember that we have masses totaling 20 grams to distribute to the four vertices. Assuming that we place a mass of w1 grams a vertex p1, a mass of w2 grams at vertex p2, a mass of w3 grams at vertex p3 and a mss of w4 grams at vertex p4, find a distribution of masses (i.e. values of w1,w2,w3 and w4 ) that moves the center of mass to p=1002. Explain your reasoning. Again, I hope you will use technology to help you with his task. Make sure to explain how you are using technology and what the results are. Also, be sure to carefully interpret the results and to use the language of our class throughout. Hint: You want to find masses w1,w2,w3 and w4 such that 1002=p=201[w1p1+w2p2+w3p3+w4p4]=w12012201203+w22010205201+w3209203200+w420942023205and20=w1+w2+w3+w4 7. (2 points) Did your distribution match with your intuition in question 5 ? Discuss. 8. ( 2 points) Is the set of masses that you gave in question 6 the only distribution of masses that would make the center of mass p=1002 ? If so, explain why. If not, give a second distribution of masses that would make the center of mass p=1002