A Shear Force of 400 N Is Applied $2.5 \times 10 ^ { 10 } \mathrm {~N} / \mathrm { m } ^ { 2 }$

Multiple Choice

A shear force of 400 N is applied to one face of an aluminum cube having sides of 30 cm each. What is the resulting displacement of this face of the cube if the opposite face is held fixed? The shear modulus for aluminum is $2.5 \times 10 ^ { 10 } \mathrm {~N} / \mathrm { m } ^ { 2 }$

A) $4.4 \times 10 ^ { - 8 } \mathrm {~m}$
B) $5.3 \times 10 ^ { - 8 } \mathrm {~m}$
C) $1.9 \times 10 ^ { - 8 } \mathrm {~m}$
D) $8.2 \times 10 ^ { - 8 } \mathrm {~m}$