1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Anni [7]
2 years ago
9

A solid, homogeneous sphere with a mass of m0, a radius of r0 and a density of rho0 is placed in a container of water. Initially

the sphere floats and the water level is marked on the side of the container. What happens to the water level, when the original sphere is replaced with a new sphere which has different physical parameters? Notation: r means the water level rises in the container, f means falls, s means stays the same. Combination answers like 'f or s' are possible answers in some of the cases. (a) The new sphere has a mass of m = m0 and a radius of r < r0.(b) The new sphere has a radius of r = r0 and a density of rho > rho0.(c) The new sphere has a radius of r = r0 and a mass of m < m0.
Physics
1 answer:
ivanzaharov [21]2 years ago
8 0

Answer:

a) s,f,r  b) r c) f

Explanation:

To determine what happens with the sphere we use Newton's second law with the Archimedes principle that states that the thrust (B) on a body is equal to the weight of the liquid dislodged

For the sphere to be in equilibrium the sum of forces is zero

    B - W = 0

    B = W = mg

Now let's use the concept of density for the body and water

Solid sphere

   ρ = m / V

  V = 4/3 π r³

   m = ρ₀ (4/3 π r³)

   W = ρ₀ (4/3 π r³) g

Water  (a)

   ρ = mₐ / Vₐ

   mₐ = ρ Vₐ

   B = ρ Vₐ g

Let's replace and simplify

   ρ Vₐ g = ρ₀ (4/3 π r³) g

    ρ Vf = ρ₀ (4/3 π r³)            (1)

For the initial condition with rho, mo and ro the height of the water is H, let's analyze each case

a) We have the same mass, but less radius, as density is mass over volume density increases

   r  <ro        V <V₀   ⇒      ρ₁> ρ₀

When analyzing the equation (1) on the right side, this case is the most complicated because I can make the relationship between the density of the sphere and its volume change even when the mass is constant

Assume the three possibilities

- The product of (ρ₁ V) that does not matter in that case the left side does not change and the mark remains the same (s)

- The product (ρ₁ V) increases the left side must increase so the mark goes up (r)

- The product (ρ₁ V) decreases the left side should go down, so the low mark (f)

b) sphere the same radius, but the density increases.

In this case the right side of the equation (1) increases, therefore the left side must increase so that the volume must increase and consequently increase the height (r)

c) you have the same radius, but the mass decreases

      r = r₀     V = V₀     m <m₀        ρ₁ <ρ₀

The right side of the equation decreases, because the density decreases, the left side must decrease, for this the volume must decrease, lowering the height (f)

You might be interested in
A student places two books on a table. One book weighs less than the other book
Gnoma [55]
The book that weighs less
6 0
2 years ago
Write down an example scenario of an object that has acceleration
Grace [21]

Answer:

An object which experiences either a change in the magnitude or the direction of the velocity vector can be said to be accelerating. This explains why an object moving in a circle at constant speed can be said to accelerate - the direction of the velocity changes.

if a car turns a corner at constant speed, it is accelerating because its direction is changing. The quicker you turn, the greater the acceleration. So there is an acceleration when velocity changes either in magnitude (an increase or decrease in speed) or in direction, or both.

Explanation:

5 0
2 years ago
What is happening at the points on the graph where the slope is flat?
zysi [14]

Answer:

where is graph...............

8 0
2 years ago
PLEASE HELP ME WITH THIS!!!!<br><br><br>​
vodka [1.7K]

Answer:

wasts materials such as cans. it can hit space crafts and satellites. no one has ever been killed by space debris, space vessels very rarely are seriously damaged.

7 0
2 years ago
Which question about the discovery of the earth revolving around the sun could be best answered using scientific inquiry
Butoxors [25]
AAaaahh yes, T'was that a lovely chap by the name of Copernicus, has discovered us a little secret, well. why dont you share?

Copernicus: well uh, i'm a bit shy

ME: who a gives a flying *bleep* about your feelings man! just man up an discover the earth's rotation already! 
8 0
3 years ago
Other questions:
  • How do you find the mechanical advantage of a wheel and axle
    11·1 answer
  • If the motion of the particles in the room slow down, the temperature in the room would
    15·1 answer
  • What a dynamics stretch is​
    11·1 answer
  • Scientists are experimenting with a kind of gun that may eventually be used to fire payloads directly into orbit. In one test, t
    6·1 answer
  • How much work is accomplished when a force of 400 N pushes a box across the floor for a distance of 10 meters?
    14·1 answer
  • Two charges q1 and q2, that are distance d apart , repel each other with a force of 6.40 N. what would be the force between two
    8·1 answer
  • When is it easiest for a person to build up static electricity?
    15·1 answer
  • Which statement is a characteristic of a concave lens?
    6·2 answers
  • . A 2.0-m wire carries a current of 15 A directed along the positive x axis in a region where the magnetic field is uniform and
    5·1 answer
  • Which is a mixture?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!