Oil having a density of 926 kg/m3 floats on water. A rectangular block of wood 3.69 cm high and with a density of 974 kg/m3 floats partly in the oil and partly in the water. The oil completely covers the block. How far below the interface between the two liquids is the bottom of the block

Answers

Answer 1

Answer:

the position of the wood below the interface of the two liquids is 2.39 cm.

Explanation:

Given;

density of oil, [tex]\rho _o[/tex] = 926 kg/m³

density of the wood, [tex]\rho _{wood}[/tex] = 974 kg/m³

density of water, [tex]\rho _w[/tex] = 1000 kg/m³

height of the wood, h = 3.69 cm

Based on the density of the wood, it will position across the two liquids.

let the position of the wood below the interface of the two liquids = x

Let the wood be in equilibrium position;

[tex]F_{wood} - F_{oil} - F_{water} = 0\\\\\rho _{wood} .gh - \rho _o .g(h-x) - \rho_w .gx = 0\\\\\rho _{wood} .h - \rho _o (h-x) - \rho_w .x = 0\\\\\rho _{wood} .h -\rho _o h + \rho _o x - \rho_w .x =0\\\\h (\rho _{wood} -\rho _o ) = x( \rho_w - \rho _o)\\\\x =h[\frac{ \rho _{wood} -\rho _o }{\rho_w - \rho _o} ]\\\\x = 3.69\ cm \times [\frac{974 - 926}{1000-926} ]\\\\x = 2.39 \ cm[/tex]

Therefore, the position of the wood below the interface of the two liquids is 2.39 cm.


Related Questions

You have a hand-crank generator with a 100-turn coil (each turn having an area of 0.0350 m2), which can spin through a uniform magnetic field that has a magnitude of 0.0500 T. You can turn the crank at a maximum rate of 3 turns per second, but the hand crank is connected to the coil through a set of gears that makes the coil spin at a rate 6 times larger than the rate at which you turn the crank. What is the maximum emf you can expect to get out of this generator

Answers

Answer:

Explanation:

Maximum emf produced = nωAB. where n is no of turns , A is area , B is magnetic field and ω is angular velocity .

n = 100 , A = .035 m²

B = .05 T

ω = 2π f , f is no of revolution per second by coil

= 2 x 3.14 x 6 x 3

= 113.04 rad /s

Maximum emf produced = 100 x 113.04 x .035 x .05

= 19.78  volt .

2.Test the age of your eyes. a.Hold a pencil or ballpoint pen vertically at arm's length. b.Close your left eye and focus on the tip. c.Quickly bring the pencil closer to your eye until it is out of focus. d.Have your partner measure the distance between your eye and the pencil. e.Repeat for both eyes. f.Try it with and without glasses (if you wear glasses). Age of your Eyes Cm91013185083

Answers

Answer:

See Explanation

Explanation:

Given

Steps: a - f

Table

[tex]\begin{array}{ccccccc}{cm} & {9} & {10} & {13} & {18} & {50} & {83} \ \\ {Age} & {10} & {20} & {30} & {40} & {50} & {60} \ \end{array}[/tex]

Note that: The question is a practical question and the result may differ base on individuals and environment.

So, I will pick up the question from how to determine the age of the eye after the distance between the eyes and the pencil has been established

In my case, the measurement is:

[tex]Length= 10.4[/tex]

Approximate

[tex]Length= 10[/tex]

From the above table, the corresponding age to 10cm is:

[tex]Age = 20cm[/tex]

If in your measurement, the length is approximately (for example):

[tex]Length = 9cm[/tex]

The age will be:

[tex]Age = 10[/tex]

Build a second circuit with a battery and a light bulb but this time add a switch. Your circuit might look something like the one at right. When a switch is open in a circuit, it means the two ends are disconnected and current cannot flow between them. When a switch is closed in a circuit, it means the two ends are connected and current can flow between them. Play with the switch to check how it affects the flow of current. With the switch closed, compare the brightness of the bulb and the flow of current in this circuit, with that of your first circuit. Did increasing the length of wire in the circuit change the brightness of the bulb or the curr

Answers

Answer:

the resistance of the wire has no effect on the brightness of the bulb.

Explanation:

Let's apply ohm's law for your light bulb circuit plus wires plus switch

             V = I R_{bulb} + I R_ {wire}

the current in a series circuit is constant

             V = I (R_{bulb} + R_{wire})

To know the effect of the wires on the brightness of the bulb, we must look for the value of the typical resistance of these elements.

Incandescent bulb

Power 60 W

let's use the power ratio

            P = V I = V2 / R

            R = V2 / P

the voltage value for this power is V = 120 V

            R = 120 2/60

            R_bulb = 240 Ω

Resistance of a 14 gauge copper wire (most used), we look for it on the internet

            R = 8.45 Ω/ km

in a laboratory circuit approximately 2 m is used, so the resistance of our cable is

            R = 8.45 10⁻³ 2

            R_wire = 0.0169 Ω

let's buy the two resistors

            R_{bulb} = 240

            R_{wire} = 0.0169

            [tex]\frac{R_{bulb} }{R_{wire} } = \frac{240 }{ 0.0169}[/tex]

              [tex]\frac{ R_{bulb} }{ R_{wire} } = 1.4 \ 10^4[/tex]

therefore resistance of the bulb is much greater than that of the wire, therefore almost all the power is dissipated in the bulb.

In summary, the resistance of the wire has no effect on the brightness of the bulb.

A square wave has amplitude 0 V for the low voltage and 4 V for the high voltage. Calculate the average voltage by integrating over one period of the waveform. Hint: the equation for a square wave will be a piecewise function and it will be convenient to start the integration where the voltage changes; for example in this problem we could define that during the first half of the period the voltage is 0 V and for the second half of the period the voltage is 4 V

Answers

Answer:

V_{average} = [tex]\frac{1}{2} V_o[/tex]  ,     V_{average} = 2 V

Explanation:

he average or effective voltage of a wave is the value of the wave in a period

            V_average = ∫ V dt

in this case the given volage is a square wave that can be described by the function

           V (t) = [tex]\left \{ {{V=V_o \ \ \ t< \tau /2} \atop {V=0 \ \ \ \ t> \tau /2 } } \right.[/tex]

to substitute in the equation let us separate the into two pairs

             V_average = [tex]\int\limits^{1/2}_0 {V_o} \, dt + \int\limits^1_{1/2} {0} \, dt[/tex]

             V_average = [tex]V_o \ \int\limits^{1/2}_0 {} \, dt[/tex]

             V_{average} = [tex]\frac{1}{2} V_o[/tex]

we evaluate  V₀ = 4 V

             V_{average} = 4 / 2)

             V_{average} = 2 V

Suppose that white light strikes a flat piece of flint glass in air, coming in at an angle of 60 degrees to the surface (30 degrees from the normal or perpendicular). The index of refraction of this dense glass for red light is 1.710, for green light is 1.723, and for blue light is 1.735. What is the order of colors you would see in the refracted light inside the glass as they leave the surface

Answers

Answer:

The order of the light starting from the light closest to the normal line is

Blue light, followed by green ight and then lastly red light

Explanation:

White light travels from one medium to another such as from air to glass is refracted according to Snell's law as follows

n₁·sin(θ₁) = n₂·sin(θ₂)

The given parameters of the white light are;

The angle the incident (incoming) light makes with the surface = 90°

The angle of incidence of the light, θ₁ = 30°

The index of refraction of red light for the glass, n₂ = 1.710

The index of refraction of green light for the glass, n₃ = 1.723

The index of reaction of blue light for the glass, n₄ = 1.735

The refractive index of air, n₁ = 1

The angle of refraction of the red light, θ₂ is given as follows;

1 × sin(30°) = 1.710 × sin(θ₂)

sin(θ₂) = 1 × sin(30°)/1.710

θ₂ = sin⁻¹(1 × sin(30°)/1.710) ≈ 17°

The angle of refraction (to the surface's normal line) of the red light, θ₂ ≈ 17°

The angle of refraction of the green light, θ₃ is given as follows;

1 × sin(30°) = 1.723 × sin(θ₃)

sin(θ₃) = 1 × sin(30°)/1.723

θ₃ = sin⁻¹(1 × sin(30°)/1.723) ≈ 16.869°

The angle of refraction of the green light, θ₃ ≈ 16.869°

The angle of refraction of the green light, θ₄ is given as follows;

1 × sin(30°) = 1.723 × sin(θ₄)

sin(θ₄) = 1 × sin(30°)/1.735

θ₄ = sin⁻¹(1 × sin(30°)/1.735) ≈ 16.749°

The angle of refraction of the green light, θ₄ ≈ 16.749°

The order of colors we see as the in the refracted light inside the glass as the light leave the surface are;

The red light, with an angle of refraction of approximately 17° will be furthest from the normal

The green light which has an angle of refraction of 16.869° will follow and will be intermediate between the red and the blue light

The blue light which has an angle of refraction of 16.749° will follow next and it will be closest to the normal

The order of the light from the normal line will be blue, followed by green and then red light

A kite 40 ft above the ground moves horizontally at a constant speed of 10 ft/s, with a child, holding the ball of kite string, standing motionless on the ground. Assume the kite is flying away from the child. At what rate is the child releasing the string when (a) 50 ft of the string is out

Answers

Answer:

 v = 27.28 m /s, θ = 63.9º

Explanation:

For this exercise we can approximate the movement to a projectile launch, let's analyze the situation.

* We must find the horizontal speed, for this we will find the descent time and the horizontal distance

* We look for the vertical speed

At the highest point the speed is horizontal

Let's find the time it takes for the kite to reach the ground

             y = y₀ + v_{oy} t - ½ g t²

             0 =y₀ + 0 -1/2 gt²

             t = [tex]\sqrt{ \frac{2y_o}{g} }[/tex]

             t = √(2 40/32)

             t = 2.5 s

to find the horizontal velocity we must know the horizontal distance, let's use trigonometry

          sin θ = y / l

          θ = sin⁻¹1 y / l

          θ = sin⁻¹ 40/50

          θ = 53.1º

therefore the horizontal distance is

          x = l cos 53.1

          x = 50cos 53.1

          x = 30 m

let's use the equation

          x = v₀ₓ t

          v₀ₓ = x / t

          v₀ₓ = 30 / 2.5

          v₀ₓ = 12 m / s

we look for the vertical component of the velocity

          v_y = v_{oy} - g t

          v_y = 0 - g t

          v_y = - 9.8 2.5

          v_y = -24.5 m / s

the negative sign indicates that the speed is directed downwards, because it is the arrival point, as they indicate that there is no friction, the exit speed is the same, worse with the opposite sign

We already have the two components of the velocity, let's use the Pythagorean theorem to find the modulus

          v = [tex]\sqrt{v_x^2 + v_y^2}[/tex]

          v = [tex]\sqrt{12^2 + 24.5^2}[/tex]

          v = 27.28 m /s

we use trigonometry for the angle

          tan θ = v_y / vₓ

          θ = tan⁻¹ v_y / vₓ

          θ = tan⁻¹ 24.5 / 12

          θ = 63.9º

· A wave with a frequency of 10 Hz and wavelength of 12m has what speed?

Answers

The velocity would be 120 Metres Per second
Velocity ( Speed ) = Frequency X Wavelength
10 X 12 = 120

A hot air balloon is rising at a speed of 10 km/hr. One hour later, the balloon
is still rising at 10 km/hr. What is its acceleration?

Answers

0
Acceleration is the rate of change of speed and there’s no change

Fifty grams of ice at 0◦ C is placed in a thermos bottle containing one hundred grams of water
at 6◦ C. How many grams of ice will melt? The heat of fusion of water is 333 kJ/kg and the
specific heat is 4190 J/kg · K.Immersive Reader

Answers

Answer:

7.55 g

Explanation:

Using the relation :

Δt = temperature change = (6° - 0°) = 6°

Q = quantity of heat

C = specific heat capacity = 4190 j/kg/k

1000 J = 1kJ

333 KJ = 333000 j

The quantity of ice that will melt ;

= 0.419 * 6 * 100 / 333000

= 2514000 / 333000

= 7.549 g

The mass of ice that will melt :

2.514 / 0.333

= 7.549 g

Which one is it? Help ASAP

Answers

Answer:

extreme heat, because no physical damage can demagnetize a magnet

Explanation:

Answer:

the 3rd one

Explanation:

Car X is travelling at 30m/s north. Its driver looks at car Y approaching on another road and he estimates it is moving at 15m/s south-west relative to his car. Calculate the velocity of car Y relative to the ground.

Answers

Answer: 22.1 m/s

Explanation:

The velocity of Car traveling 30 m/s towards the north

In vector form it is

[tex]v_x=30\hat{j}[/tex]

The velocity of car Y w.r.t X is

[tex]\Rightarrow v_{yx}=15[-\cos 45^{\circ}\hat{i}-\sin 45^{\circ}\hat{j}][/tex]

Solving this

[tex]\Rightarrow v_{yx}=v_y-v_x\\\Rightarrow v_y=v_{yx}+v_x[/tex]

putting values

[tex]\Rightarrow v_y=15[-\cos 45^{\circ}\hat{i}-\sin 45^{\circ}\hat{j}]+30\hat{j}[/tex]

[tex]\Rightarrow v_y=-10.606\hat{i}+19.39\hat{j}[/tex]

absolute velocity relative to ground is

[tex]\left | v_y\right |=\sqrt{(-10.606)^2+(19.39)^2}\\\left | v_y\right |=22.101\ m/s[/tex]

What affects the amount of rock that water can erode?
Speed
Time
Slope
All of the above

Answers

all of the above. all of them affect the rock water erode.

A 0.6 kg basketball is 3.0 high calculate its potential Energy PE=mgh​

Answers

.6(9.81)(3)

=17.65
18 J

2 significant figures

Match the following:​

Answers

iron metal :chromium

machinery part :nickel or chromium

ornamentation and decoration pieces :silver and gold

processed food :tin coated iron can

bridges and automobiles :zinc metal

distilled water:bad conductor

Answer:

iron metal :chromium

machinery part :nickel or chromium

ornamentation and decoration pieces :silver and gold

processed food :tin coated iron can

bridges and automobiles :zinc metal

distilled water:bad conductor

Explanation:

Jim and Sally both do identical jobs. Jim works quickly while Sally works slowly. Which of the following is true?

A) Sally uses more energy.
B) Jim uses more energy.
C) Jim uses more power.
D) Sally uses more power.

Answers

The answer should be C

1) A man leans against the wall and...
a) The man's shoulder pushes against the wall
b) The wall pushes against the man
c) Bricks in the wall push against each other
d) The ground pushes against the man, supporting him.

Answers

Answer:

I thinks its a, but its really about gravity im not sure

Explanation:

:)

A scientist analyzes the light from a distant galaxy and finds that it is shifted to the longer wavelength of the electromagnetic spectrum. What does this data help to study?
1) the color of the galaxy
2) the distance of the galaxy from Earth
3) the existence of life on any planet in the galaxy
4) the study of the amount of light scattered by dust in space

Answers

Answer:

Option 2

Explanation:

As per the relation between the distance of the galaxy and shifting of the light of the galaxy towards any specific wavelength of the electromagnetic spectrum, a galaxy at great distance shifts more towards the red spectra that has the highest wavelength.

Thus, this observation give details about the distance of the galaxy from earth.

Answer:

b

Explanation:

A blender has a power of 0.3 kW. It is used to make a fruit smoothie, which takes 50 seconds. How much energy is used? Give your answer in kilojoules.

Answers

Answer:

P=W/t

W=Pt=0.3kWx50s=15KJ

We have that the energy is used by a blender that has a power of 0.3 kW and which takes 50 seconds is

W=15KJ

From the question we are told

A blender has a power of 0.3 kW. It is used to make a fruit smoothie, which takes 50 seconds. How much energy is used? Give your answer in kilojoules

Generally the equation for the Power   is mathematically given as

P=W/t

Therefore

W=Pt

W=0.3*50

W=15KJ

Therefore

The energy is used by a blender that has a power of 0.3 kW and which takes 50 seconds is

W=15KJ

For more information on this visit

https://brainly.com/question/21811998

PLEASE ANSWER THIS WILL MARK AS BRAINLIEST PLEASE PUT TRUE ANSWERS
Charles Darwin developed the theroy of Natural Selection (Survival of the Fittest). Which statment below describes this concept?

A.
Animals with the best DNA will go extinct

B.
Organisms will adapt only to be able to have a food source

C.
Organisms that are only single cells will survive any environment

D.
Animals with the best genes and that have the ability to adapt will survive

Answers

Answer:

D

Explanation:

A is wrong bc best DNA will survive

B is wrong because organism adapt not only for food source but to be able to live in the environment as well

C is wrong because single celled organisms don't adapt

Which of the following solar phenomena is likely to have the most negative impact on Earth?

A solar flare as it may cause brief radio blackouts
An aurora as it may damage communication networks
An aurora as it may cause worldwide transmission problems
A solar flare as it may harm satellites and aircrafts flying near poles

Answers

Answer:

A solar flare as it may harm satellites and aircrafts flying near poles

Explanation:

Since solar flare is electro magnetic waves going to Earth the waves will mostly get absorbed by the north and south poles resulting in the aurora borealis, but if the solar flare is strong enough it may stop communications and engines in satellites and aircrafts and in result harming them

Answer:

A solar flare as it may harm satellites and aircrafts flying near poles

Explanation:

Which graph represents the relationship between the magnitude of the gravitational force exerted by earth on a spacecraft the distance between the center of the spacecraft the center of earth

Answers

Answer:

B as distance increase force decrease, but it is not a linear relationship.

What is the formula for Ba+2 and F-?

Answers

Answer:

BaF2

Explanation:

since you got the valence numbers just do the scissors move where you:

give the F the 2 and give the Ba the 1 so it be like

BaF2 here is the chemical compound

The Sun is divided into three regions.
True оr False?

Answers

Answer:

false I think

Explanation:

hope that help

so it's not divided in 3 regions

HURRYYYYY, FASTTT, HELPPP What is the consequence of atoms being a singular closed system?


Atoms of a certain element contain a fixed amount of energy.


Atoms of a certain element can’t be altered by outside forces.


Atoms don’t interact with each other in any way.


Atoms decompose slowly over time as they lose energy.


1

Answers

Answer:

Atoms of a certain element contain a fixed amount of energy.

Explanation:

An atom can be defined as the smallest unit comprising of matter that forms all chemical elements. Thus, atoms are basically the building blocks of matters and as such defines the structure of a chemical element.

Generally, these atoms are typically made up of three distinct particles and these are protons, neutrons and electrons.

Additionally, all the physical properties of a mineral result from the mineral's internal arrangement of atoms.

The consequence of atoms being a singular closed system is that atoms of a certain element contain a fixed amount of energy because the number of protons, neutrons and electrons are in a fixed proportion.

plz help me with my career!!!
part one...

Answers

Answer:

#1 Yes

Explanation: #1: The rest of them are used mainley by farmers, and crops are used by common citizens in the world.

Question 1: Crops.

Question 2: Diagnostic Services.

Question 3: A cable company needs to lay new fiber optic cable to reach its customers across a large lake.

Question 4: A bachelor's degree in energy research.

Question 5: Environmental Resources.

If any of these answers are incorrect, please tell me, so I can fix my mistake. Thank you.

What is your hypothesis (or hypotheses) for this experiment?

(about Thermal Energy Transfer)

Answers

Answer:

I hypothesis that the motion involving the balls in the experiment were moving to create data.

Explanation:

I hope this helps!

A 0.55 kg projectile is launched from the edge of a cliff with an initial kinetic energy of 1550 J and at its highest point is 140 m above the launch point. (a) Calculate the horizontal component of its velocity. (b) Calculate the vertical component of its velocity just after launch. (c) At one instant during its flight the vertical component of its velocity is found to be 65 m/s. At that time, how far is it above or below the launch point

Answers

Answer:

a). 53.78 m/s

b) 52.38 m/s

c) -75.58 m

Explanation:

See attachment for calculation

In the c part, The negative distance is telling us that the project went below the lunch point.

Activities:
1. Name the instrument that is used to measure Air Pressure.
2.Explain what is Cyclone and Anticyclone

Answers

Answer: barometer.

A cyclone is a storm or system of winds that rotates around a center of low atmospheric pressure. An anticyclone is a system of winds that rotates around a center of high atmospheric pressure.

A ball is dropped off the side of a bridge,
After 1.55 S, how far has it fallen?
(Unit=m)

Answers

Answer:

Distance S = 11.77 m (Approx.)

Explanation:

Given:

Time t = 1.55 Second

Gravity acceleration = 9.8 m/s²

Find:

Distance S

Computation:

S = ut + (1/2)(g)(t)²

S = (0)(1.55) + (1/2)(9.8)(1.55)²

S = (0)(1.55) + (1/2)(9.8)(1.55)²

Distance S = 11.77 m (Approx.)

Part D Here is one last question as a final check on your understanding of your work for this problem, looking at this problem as an example of the Conservation of Energy. The action in this problem begins at location A , with the block resting against the uncompressed spring. The action ends at location B, with the block moving up the ramp at a measured speed of 7.35 m/s . From A to B, what has been the work done by non-conservative forces, and what has been the change in the mechanical energy of the block-Earth system (the ramp is a part of the Earth)

Answers

Answer:

The answer is "39.95 J".

Explanation:

Please find the complete question in the attached file.

[tex]\to W_{AC}=(\mu \ m \ g \ \cos \theta ) d[/tex]

            [tex]=(0.45 \times 1.60 \times 9.8 \times \cos 26^{\circ}) 6.30 \\\\=(7.056 \times \cos 26^{\circ}) 6.30 \\\\=6.34189079\times 6.30\\\\=39.95 \ J\\\\[/tex]

[tex]\therefore \\\\\bold{\Delta E =39.95 \ J}[/tex]

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