How can the weight of the ball be determined when submerged in the beaker?

In summary: Yeah, the summary should start with "In summary," and nothing else. You seem to have included the conversation text in the summary. Could you please provide a summary?In summary, a cylindrical beaker filled with a fluid of density 890 kg/m^3 is placed on a scale and measured to have a weight of 1.00 N. A ball with a density of 5000 kg/m^3 and a volume of 60.0 cm^3 is then submerged in the fluid and held in place by a rod. The problem also assumes an acceleration due to gravity of 9.81 m/s^2. The weight of the ball is 2.94 N and the reading on the scale with the submerged ball
  • #1
doggieslover
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A cylindrical beaker of height 0.100 {m} and negligible weight is filled to the brim with a fluid of density rho = 890 {kg/m}^3. When the beaker is placed on a scale, its weight is measured to be 1.00 {N}. (Intro 1 figure)

A ball of density rho_b = 5000 {kg/m}^3 and volume V = 60.0 {cm}^3 is then submerged in the fluid, so that some of the fluid spills over the side of the beaker. The ball is held in place by a stiff rod of negligible volume and weight. Throughout the problem, assume the acceleration due to gravity is g = 9.81 {m/s}^2.

Intro 1:
http://session.masteringphysics.com/problemAsset/1011221/19/SFL_ap_6a.jpg

Intro 2:
http://session.masteringphysics.com/problemAsset/1011221/19/SFL_ap_6b.jpg

Part A
What is the weight W_b of the ball?
Express your answer numerically in Newtons.
I got 2.94N

Part B
What is the reading W_2 of the scale when the ball is held in this submerged position? Assume that none of the water that spills over stays on the scale.
Calculate your answer from the quantities given in the problem and express it numerically in Newtons.
I got 1 N

Part C
What is the force F_r applied to the ball by the rod? Take upward forces to be positive (e.g., if the force on the ball is downward, your answer should be negative).
Express your answer numerically in Newtons.

I am lost for this one, is it just m_bg(1- rho_w/rho_c)?

Part D
The rod is now shortened and attached to the bottom of the beaker. The beaker is again filled with fluid, the ball is submerged and attached to the rod, and the beaker with fluid and submerged ball is placed on the scale. (Intro 2 figure)

What weight W_3 does the scale now show?
Express your answer numerically in Newtons.

Please help, this is due really soon.
 
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  • #2
doggieslover said:
Part A
What is the weight W_b of the ball?
Express your answer numerically in Newtons.
I got 2.94N

Part B
What is the reading W_2 of the scale when the ball is held in this submerged position? Assume that none of the water that spills over stays on the scale.
Calculate your answer from the quantities given in the problem and express it numerically in Newtons.
I got 1 N
OK.

Part C
What is the force F_r applied to the ball by the rod? Take upward forces to be positive (e.g., if the force on the ball is downward, your answer should be negative).
Express your answer numerically in Newtons.

I am lost for this one, is it just m_bg(1- rho_w/rho_c)?
I'm not sure what rho_w & rho_c refer to. In any case, consider the forces acting on the ball, one of which is F_r. What's the net force on the ball?

Part D
The rod is now shortened and attached to the bottom of the beaker. The beaker is again filled with fluid, the ball is submerged and attached to the rod, and the beaker with fluid and submerged ball is placed on the scale. (Intro 2 figure)

What weight W_3 does the scale now show?
Express your answer numerically in Newtons.
What was added to the beaker? What was removed?
 
  • #3
Thanks man.
 

FAQ: How can the weight of the ball be determined when submerged in the beaker?

What is a submerged sphere in a beaker?

A submerged sphere in a beaker is a scientific demonstration where a sphere is placed in a beaker filled with liquid, resulting in the sphere being completely submerged under the liquid's surface.

What is the purpose of a submerged sphere in a beaker experiment?

The purpose of this experiment is to demonstrate the concept of buoyancy and Archimedes' principle. It also allows for the measurement of the sphere's density and the calculation of the buoyant force acting on it.

What factors affect the submerged sphere in a beaker experiment?

The factors that affect this experiment include the density of the sphere and the surrounding liquid, the volume of the sphere, and the depth of the liquid in the beaker.

How is the buoyant force calculated in this experiment?

The buoyant force is equal to the weight of the liquid displaced by the submerged sphere. This can be calculated by multiplying the density of the liquid by the volume of the displaced liquid.

What are some real-life applications of the submerged sphere in a beaker experiment?

This experiment is used in various industries, such as shipbuilding and engineering, to understand the principles of buoyancy and how they affect floating and submerged objects. It is also used in research to study the behavior of different materials in various liquids.

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