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
Maslowich
3 years ago
12

An aluminum sphere (specific gravity = 2.70) falling through water reaches a terminal speed of 4.58 cm/s. What is the terminal s

peed of an air bubble of the same radius rising through water? Assume viscous drag in both cases and ignore the possibility of changes in size or shape of the air bubble; Density of air at 20°c is 1.20 kg/m3 and that of water is 998.21 kg/m3.
Physics
1 answer:
enyata [817]3 years ago
3 0

Answer:2.69 cm/s

Explanation:

We know that drag force

Fd=6 πμ r v

μ=Dynamic viscosity

r=radius

v=terminal velocity

Bouncy force

Fb= ρ V g

rho_w=density\ of\ water

V=volume

At the condition of terminal velocity

when going down ( aluminum)

Fb+ Fd= m g

 Fd_1 = m g - Fb_1---------1

when going up ( air)

Fb_2= mg +Fd

Fd_2= Fb_2 - mg-----------2

m =mass of object

m= density\times volume

\rho_a=density\ of\ Aluminium

\rho _b=density\ of\ bubble

Divide 1 and 2

\dfrac{v_1}{v_2}=\dfrac{mg-F_b_1}{F_b_2-mg}

\dfrac{4.58}{v_2}=\dfrac{\rho _a-\rho _w}{\rho _w-\rho _b}

divide by  \rho _w in R.H.S

\dfrac{4.58}{v_2}=\dfrac{2.7-1}{1.-0.0012}

v_2=\dfrac{4.58}{1.7}=2.69\ cm/s

You might be interested in
A ball is dropped off a building and falls past a window that is 2.2m long. If it takes .28s for the ball to cross the window wh
Sidana [21]
0.616 is the distance from the top
of the building to the top of the window.
8 0
2 years ago
Two balls, each with a mass of 0.5 kg, collide on a pool table. Is the law of conservation of momentum satisfied in the collisio
Dmitriy789 [7]

During the collision between two balls on the pool table there is no external force along the line of collision between them

Since there is no external force on it so here we can say

F = 0 = \frac{\Delta P}{\Delta t}

here we have

\Delta P = 0

so we can say

P_i = P_f

since there is no external force so we can say during the collision the momentum of two balls will remain conserved

7 0
3 years ago
Read 2 more answers
Which of the following statements would NOT result in an eclipse? a. The Earth is positioned directly between the Sun and the Mo
vovangra [49]

c. The Moon is positioned directly between the earth and the sun is the statement that does not result in an eclipse.

Explanation:

  • The Sun is completely blocked in a solar eclipse because the Moon passes between Earth and the Sun.
  • it is just the right distance away from Earth, the Moon can fully blocks the Sun's light from Earth's perspective
3 0
4 years ago
Which unit is used to measure force
Ymorist [56]
Newtons (N) measure force
3 0
3 years ago
Read 2 more answers
What is harmonic motion
Tanzania [10]

Answer:  NNOOOOOOOOOOOOOOOOOOONONONO

Explanation: simple harmonic motion, in physics, repetitive movement back and forth through an equilibrium, or central, position, so that the maximum displacement on one side of this position is equal to the maximum displacement on the other side. The time interval of each complete vibration is the same. The force responsible for the motion is always directed toward the equilibrium position and is directly proportional to the distance from it. That is, F = −kx, where F is the force, x is the displacement, and k is a constant. This relation is called Hooke’s law.

A specific example of a simple harmonic oscillator is the vibration of a mass attached to a vertical spring, the other end of which is fixed in a ceiling. At the maximum displacement −x, the spring is under its greatest tension, which forces the mass upward. At the maximum displacement +x, the spring reaches its greatest compression, which forces the mass back downward again. At either position of maximum displacement, the force is greatest and is directed toward the equilibrium position, the velocity (v) of the mass is zero, its acceleration is at a maximum, and the mass changes direction. At the equilibrium position, the velocity is at its maximum and the acceleration (a) has fallen to zero. Simple harmonic motion is characterized by this changing acceleration that always is directed toward the equilibrium position and is proportional to the displacement from the equilibrium position. Furthermore, the interval of time for each complete vibration is constant and does not depend on the size of the maximum displacement. In some form, therefore, simple harmonic motion is at the heart of timekeeping.

3 0
2 years ago
Other questions:
  • A water balloon dropped from a window high above the ground falls y = 4.9t2 m in t sec. find the balloon’s (a) average speed dur
    15·1 answer
  • Technician A says that a good relay should measure between 60 and 100 ohms across the coil terminals. Technician B says that OL
    14·1 answer
  • Determine the gravitational force of attraction between the Earth and the Sun given the mass of the earth is 6 x 10^24 kg, the m
    13·1 answer
  • Physics includes the study of using radio waves to explore stars and identify other planets.
    7·2 answers
  • 2 Points
    9·1 answer
  • Which of the following does not contribute to the potential energy of an object?
    6·1 answer
  • Please help me, anyone????
    12·1 answer
  • 5. A 6.0-kilogram mass is moving with a speed of 2.0 m/s. What is the kinetic energy of the mass?
    14·1 answer
  • An object with a mass of 20 kg has a net force of 80 N acting on it. What is the acceleration of the object?
    14·1 answer
  • A ball is fired from a cannon from the top of a cliff as shown below. Which of the paths 1 - 5 would the cannonball most closely
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!