Sphere sits at bottom of milk container, find mass?

The buoyant force can be found from the difference in densities between the ball and the milk. In summary, the mass of the glass ball can be calculated using its weight and the buoyant force, taking into account the density of the milk.
  • #1
tigers4
24
0

Homework Statement


A glass ball of radius 2.40 cm sits at the bottom of a container of milk that has a density of 1.03 g/cm3. The normal force on the ball from the container's lower surface has magnitude 7.50 *10^-2 N. What is the mass of the ball?


Homework Equations


Fb=Mf*g
d=M/V
4/3pir^3=V



The Attempt at a Solution


Fb+(7.5*10^-2)=Mball*g
but it says I am wrong
 
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  • #2
They are probably looking for a numeric solution.

The given normal force should be equal in magnitude to 'net weight' of the glass ball in the fluid, which in turn will equal the force due to gravity on the ball less the buoyant force.
 

1. What is the mass of the sphere at the bottom of the milk container?

The mass of the sphere can be determined by using the formula: mass = density x volume. The density of the sphere can be found by looking up the material it is made of, and the volume can be calculated by measuring the diameter of the sphere and using the formula for the volume of a sphere (4/3 x pi x r^3).

2. Can the mass of the sphere be accurately measured while it is submerged in milk?

Yes, the mass of the sphere can still be accurately measured while it is submerged in milk. The weight of the sphere will be slightly reduced due to the buoyant force of the milk, but this can be accounted for by subtracting the weight of the displaced milk from the total weight of the sphere and milk together.

3. How does the density of the milk affect the mass of the sphere?

The density of the milk will have a minimal effect on the mass of the sphere, unless the sphere is made of a material that is significantly less dense than milk. In that case, the sphere may float to the surface of the milk.

4. Can the mass of the sphere be affected by the temperature of the milk?

The temperature of the milk will not affect the mass of the sphere. However, if the sphere is made of a material that expands or contracts significantly with changes in temperature, its volume may change, and this could affect its buoyancy and therefore its apparent weight.

5. How does the location of the sphere in the milk container affect its mass?

The location of the sphere in the milk container will not affect its mass. However, if the container is not level, the buoyant force may vary slightly at different points in the milk, which could affect the apparent weight of the sphere. To ensure accuracy, the container should be level and the sphere should be completely submerged in the milk.

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