Problem 8.43 Three odd-shaped blocks of chocolate have the following masses and
ID: 1417992 • Letter: P
Question
Problem 8.43 Three odd-shaped blocks of chocolate have the following masses and center-of-mass coordinates: (1) 0.300 kg , (0.300 m , 0.300 m ); (2) 0.400 kg , (0.100 m , -0.400 m ); (3) 0.200 kg , (-0.300 m , 0.600 m ). Part A Find the x-coordinate of the center of mass of the system of three chocolate blocks. Express your answer in meters to three significant figures. xc = .0822 m SubmitMy AnswersGive Up Incorrect; Try Again; 3 attempts remaining Part B Find the y-coordinate of the center of mass of the system of three chocolate blocks. Express your answer in meters to three significant figures. yc = 0.0162 m
Explanation / Answer
just use the center of mass formula to solve for the x and y coordinates separately:
A. Xcm = (m1xcm1+m2xcm2+m3*xcm3)/(m1+m2+m3) = (0.3*0.3+0.4*0.1+0.2*(-0.3))/0.9 = 0.0778m
B ycm = (0.3*0.3+0.4*(-0.4) +0.2*0.6)/0.9 = (0.09-0.16+0.12)/.9 = 0.0556 m