Acceleration in a fluid with specific gravity

In summary, when an object with mass 30 kg and specific gravity 3.6 is placed in a fluid with specific gravity 1.2, the acceleration of the object is 1/3g and its apparent weight is 100N. This can be determined by drawing a free-body diagram, applying Newton's second law, and solving for acceleration. The term "g" refers to the acceleration due to gravity, not grams.
  • #1
pkamensky
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[An object with mass 30 kg and specific gravity 3.6 is placed in a fluid whose specific gravity is 1.2. Neglecting viscosity, which of the following is true?


A. The acceleration of the object is 1\3g and its apparent weight is 100N
B. The acceleration of the object is 2\3g and its apparent weight is 100N
C. The acceleration of the object is 1\3g and its apparent weight is 200N
D. The acceleration of the object is 2\3g and its apparent weight is 200N



I believe the weight is 100N, but do not know the grams or why
 
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  • #2
"g" is not grams; it's the acceleration due to gravity. To start this problem, draw a free-body diagram on the mass and label all forces. Write out Newton's second law, then solve for acceleration.

By the way, in case you didn't know, "apparent weight" is just the net external force on the mass.
 

What is acceleration in a fluid with specific gravity?

Acceleration in a fluid with specific gravity refers to the rate at which an object's speed or velocity changes while it is moving through a fluid with a specific density. This acceleration is caused by the force of gravity acting on the object and the resistance of the fluid.

How is acceleration in a fluid with specific gravity calculated?

To calculate acceleration in a fluid with specific gravity, you can use the equation a = g * (1 - ρ/ρ0), where a is the acceleration, g is the acceleration due to gravity, ρ is the density of the fluid, and ρ0 is the density of the object.

What factors affect acceleration in a fluid with specific gravity?

There are several factors that can affect acceleration in a fluid with specific gravity, including the density of the fluid, the density of the object, the shape and size of the object, and the viscosity of the fluid. These factors can all impact the resistance of the fluid and the force of gravity acting on the object.

What is the relationship between acceleration and specific gravity in a fluid?

The specific gravity of a fluid is directly related to its density, which in turn affects the acceleration experienced by an object moving through it. The higher the specific gravity of a fluid, the higher its density and the greater the resistance it will provide to an object's motion, resulting in a lower acceleration.

How is acceleration in a fluid with specific gravity different from acceleration in a vacuum?

In a vacuum, where there is no air or other fluid present, objects will accelerate at a constant rate due to the force of gravity. However, in a fluid with specific gravity, the acceleration will vary depending on the factors mentioned above, making it a more complex and dynamic process. Additionally, the object's motion in a fluid may be affected by buoyancy forces, which are not present in a vacuum.

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