A solid sphere of mass 8.6 kg, made of metal whose density is 3400 kg/ $m ^ { 3 }$ , hangs by a cord. When the sphere is immersed in a liquid of unknown density, the tension in the cord is 38 N. The density of the liquid is closest to which one of the following values?
A) 1900 kg/ $m ^ { 3 }$
B) 1700 kg/ $m ^ { 3 }$
C) 1600 kg/ $m ^ { 3 }$
D) 1500 kg/ $m ^ { 3 }$
E) 1400 kg/ $m ^ { 3 }$

Question

Quizplus · Accepted Answer

The buoyant force equals the weight of the displaced liquid. The tension in the cord is the weight of the sphere minus the buoyant force. Using these relationships, the density of the liquid can be calculated to be closest to 1900 kg/m³.

A Solid Sphere of Mass 8 m3m ^ { 3 }m3

A Solid Sphere of Mass 8 $m ^ { 3 }$