An object weighs 7.84 N when it is in air and 6.86 N when it is immersed in water of density 1000 $\mathrm { kg } / \mathrm { m } ^ { 3 }$ What is the density of the object?
A) $6000 \mathrm {~kg} / \mathrm { m } ^ { 3 }$
B) $7000 \mathrm {~kg} / \mathrm { m } ^ { 3 }$
C) $9000 \mathrm {~kg} / \mathrm { m } ^ { 3 }$
D) $8000 \mathrm {~kg} / \mathrm { m } ^ { 3 }$

Question

An object weighs  7.84 N when it is in air and  6.86 N when it is immersed in water of density 1000 $\mathrm { kg } / \mathrm { m } ^ { 3 }$ What is the density of the object?
A) $6000 \mathrm {~kg} / \mathrm { m } ^ { 3 }$
B) $7000 \mathrm {~kg} / \mathrm { m } ^ { 3 }$
C) $9000 \mathrm {~kg} / \mathrm { m } ^ { 3 }$
D) $8000 \mathrm {~kg} / \mathrm { m } ^ { 3 }$

Quizplus · Accepted Answer

The density of the object can be found using the principle of buoyancy, where the buoyant force equals the weight of the displaced fluid. The difference in weight in air and water gives the weight of the displaced water, which can be used to calculate the volume of the object. Then, using the object's weight in air, its density can be calculated. The calculation leads to a density of $8000 \mathrm {~kg} / \mathrm { m } ^ { 3 }$.

An Object Weighs 7 kg/m3\mathrm { kg } / \mathrm { m } ^ { 3 }kg/m3

An Object Weighs 7 $\mathrm { kg } / \mathrm { m } ^ { 3 }$