A 200-N object floats with three-fourths of its volume beneath the surface of the water. What is the buoyant force on the object? The density of water is $1000 \mathrm {~kg} / \mathrm { m } ^ { 3 }$
A) 267 N
B) 200 N
C) 50 N
D) 150 N
E) It cannot be determined because we do not know the volume of the object.

Question

A 200-N object floats with three-fourths of its volume beneath the surface of the water. What is the buoyant force on the object? The density of water is $1000 \mathrm {~kg} / \mathrm { m } ^ { 3 }$
A)  267 N
B)  200 N
C)  50 N
D)  150 N
E) It cannot be determined because we do not know the volume of the object.

Quizplus · Accepted Answer

The buoyant force equals the weight of the displaced water. Since the object floats, the buoyant force must equal the object's weight, which is 200 N.

A 200-N Object Floats with Three-Fourths of Its Volume Beneath 1000 kg/m31000 \mathrm {~kg} / \mathrm { m } ^ { 3 }1000 kg/m3

A 200-N Object Floats with Three-Fourths of Its Volume Beneath $1000 \mathrm {~kg} / \mathrm { m } ^ { 3 }$