Exhibit 12-1
A square of side is removed from one corner of a square sandwich that has sides of length L.The center of mass of the remainder of the sandwich moves from C to C'. Use this exhibit to answer the following question(s).
-Refer to Exhibit 12-1.The distance from C to C' is
A) .
B) .
C) .
D) .
E) .

Question

Exhibit 12-1
A square of side  is removed from one corner of a square sandwich that has sides of length L.The center of mass of the remainder of the sandwich moves from C to C'.  Use this exhibit to answer the following question(s).
-Refer to Exhibit 12-1.The distance from C to C' is
A) . 
B) . 
C) . 
D) . 
E) .

Quizplus · Accepted Answer

Since the square sandwich has sides of length L, its center of mass is at the center of the square, which is also the midpoint of its diagonals. The distance from C to the center of the original square is L/2. When the smaller square is removed, the center of mass of the remaining shape is shifted towards the center of the larger square, along the diagonal of the smaller square. This distance is also L/2. Therefore, the total distance from C to C' is L/2 + L/2 = L. Since the side length of the larger square is 2L, the distance from C to C' is 2L/√2 = L√2. Thus, the answer is 11ea7ff9_2b37_9b54_a768_e11c50d986eb_TB2295_11.

Exhibit 12-1 A Square of Side Is Removed from One Corner