An object is solid throughout. When the object is completely submerged in ethyl alcohol, its apparent...

An object is solid throughout. When the object is completely submerged in ethyl alcohol, its apparent weight is 15.9 N. When completely submerged in water, its apparent weight is 13.4 N. What is the volume of the object?

Solutions

Expert Solution

Given that

An object is solid throughout. When the object is completely submerged in ethyl alcohol, its apparent weight is 15.9 N

When completely submerged in water, its apparent weight is 13.4 N.

We also know that

The density of water )pwater)=1000kg/m³

Density of alchol is(palcohol) =806kg/m³

and the acceleration due to gravity (g) =9.8m/s²

We know that when an objectis completely submerged in within a fluid, its apparent weight in the fluid is equal to the its true weight mg minus the upward acting buoyant force.

Now from the Archimedes principle, the magnitude of the buoyant force is equal to the weight of the fluid displaced by the object.The weight of the fluid displaced by the object is based on the volume of the object.

Now the Apparent weight is given by

15.9N =mg -palcoholgV-------(1)

13.4N=mg -pwatergV-----------(2)

Now from the equation (1) and (2) the volume of the object is given by

V =(15.9-13.4)/g(pwater-palcohol) =2.5/9.81(1000-806) =1.313*10^-3m³

genius_generous answered 4 months ago

Next > < Previous

Related Solutions

13) Determine the buoyant force, in N, of water on a completely submerged object having a...

13) Determine the buoyant force, in N, of water on a completely submerged object having a volume of 3.40 m3. a) 4.53 x 104 b) 3.33 x 104 c) 8.39 x 104 d) 1.45 x 104 Answer_______________ 14) A 10,000-kg railroad car traveling at a speed of 2.0 m/s strikes an identical car at rest. The cars lock together as a result of the collision. Determine the velocity, in m/s, of the locked cars after the collision. a) 1 b)...

When a block is completely submerged under water, the buoyancy force on it is 11.8N; when...

When a block is completely submerged under water, the buoyancy force on it is 11.8N; when it is completely submerged under an unknown liquid, the buoyancy force is measured to be 7.8N. What is the density (in unit of kg/m3) of the unknown liquid? When an object is completely submerged under water (LaTeX: \rho_{water}=ρ w a t e r =1000kg/m3,), the buoyancy force on it is 6.2N. If the object is completely submerged under a different liquid (LaTeX: \rho_{liquid}=ρ l...

Problem 14 - An object floats in sea water with 85% of its volume submerged. A)...

Problem 14 - An object floats in sea water with 85% of its volume submerged. A) will it also float in glycerin? B) If so, what fraction of its volume will be submerged? If not, what is the ratio of bouyant force to weight when the object is fully submerged? C) Will it also float in gasoline? D) If so, what fraction of its volume will be submerged? If not, what is the ratio of bouyant force to weight when...

The gravitational force exerted on a solid object is 5.70 N. When the object is suspended...

The gravitational force exerted on a solid object is 5.70 N. When the object is suspended from a spring scale and submerged in water, the scale reads 2.10 N (figure). Find the density of the object.

1) A homogeneous solid object floats on water with 78% of its volume below the surface....

1) A homogeneous solid object floats on water with 78% of its volume below the surface. The same object when placed in a second liquid floats on that liquid with 71% of its volume below the surface. Determine the density of the object. 2) Determine the specific gravity of the liquid.

When an iron object rusts, its mass increases. When a match burns, its mass decreases. Do

When an iron object rusts, its mass increases. When a match burns, its mass decreases. Do these observations violate the law of conservation of mass? Explain.

A solid sphere 10 cm in radius carries a uniform 40-?C charge distribution throughout its volume....

A solid sphere 10 cm in radius carries a uniform 40-?C charge distribution throughout its volume. It is surrounded by a concentric shell 20 cm in radius, also uniformly charged with 40 ?C. Find the electric field 5.0 cm from the center.

When 27.2 g of solid A, at its melting point of 34.0 °C, was added to...

When 27.2 g of solid A, at its melting point of 34.0 °C, was added to 62.7 g of liquid A at 51.2 °C, the mixture cooled to 35.0 °C, with no solid remaining. Given the specific heat of liquid A (s = 0.798 J/g·°C), find the heat of fusion per gram of solid A. Assume that no heat enters or leaves the mixture. That is, assume that the mixture is an isolated system and therefore that q1 + q2...

When an object traveling with initial velocity vi increases its velocity to 1.84vi, its momentum increase from...

When an object traveling with initial velocity vi increases its velocity to 1.84vi, its momentum increase from pi to 5.69pi. Question: What was the initial velocity vi in units of c?

When 27.2 g of solid A, at its melting point of 34.0 degree C, was added...

When 27.2 g of solid A, at its melting point of 34.0 degree C, was added to 62.7 g of liquid A at 51.2 degree C, the mixture cooled to 35.0 degree C, with no solid remaining. Given the specific heat of liquid A (s = 0.798 J/g degree C), find the heat of fusion per gram of solid A. Assume that no heat enters or leaves the mixture. That is, assume that the mixture is an isolated system and...

Subjects