An aluminium cube of side 5cm and R.D 2.7 is suspended by a thread in alcohol of relative density 0.8o. Find the tension in thread.​

Answers

Answer 1

Answer:

The tension in the thread is approximately 3.2103225 Newtons

Explanation:

The given parameters are;

The side length of the aluminum cube, s = 5 cm

The R.D. of aluminum = 2.7

The relative density of alcohol into which the aluminum cube is placed = 0.8

The volume of the aluminum cube, V = s³ = (5 cm)³ = 125 cm³

The mass of the aluminum cube, V = The volume of the cube

The mass of the aluminum cube, m = V × R.D. × Density of water

m₁ = 0.000125 × 2.7 × 970 = 0.327375 kg

The mass of the alcohol displaced, m₂ = 0.000125 × 0.8 × 970 = 0.097

The tension in the string, T = The apparent weight of the aluminum cube, Wₐ

∴ The tension in the thread, T = Wₐ = (m₁ - m₂) × g

Where;

g = The acceleration due to gravity ≈ 9.81 m/s²

∴ T ≈ (0.327375 - 0.000125) × 9.81 = 3.2103225

The tension in the thread, T ≈ 3.2103225 N.


Related Questions

What is meant by the statement that a laser beam is coherent, mono-chromatic and parallel?

Answers

Answer:

Laser light however contains only one wavelength. This property makes lasers monochromatic, meaning of one color. Another property of lasers is that all the wavelengths are in phase, meaning they wave together. This property is called coherency. Laser light travels in the same direction, parallel to one another.

10.
You are standing on a sheet of ice that covers the football stadium parking lot in Buffalo; there is
negligible friction between your feet and the ice. A friend throws you a 0.4 kg ball that is traveling
horizontally at 10 m/s. Your mass is 70 kg. If you catch the ball, with what speed do you and the ball
move afterwards?

1.02 m/s

0.06 m/s

0.02 m/s

0.12 m/s

Answers

Answer:

Explanation:

This is a classic Law of Momentum Conservation problem. For us the equation will look like this:

[tex][(m_yv_y+m_bv_b)]_b=[(m_y+m_b)v_{both}]_a[/tex] Filling in with our given info:

[tex][(70.0)(0)+(.40)(10.0)]_b=[(70.0+.40)v_{both}]_a[/tex] and

4.0 = 70.4v and

v = .06 m/s

Explain the effect of the multiplier in the conversion of a moving coil galvanometer to a voltmeter.

Answers

Answer:

Explanation:

A galvanometer which is used for the measurement of a very small current can be converted to a voltmeter when it is connected to a high resistance or a multiplier is a series. The purpose of this is to reduce the amount of current that goes through the galvanometer so as prevent full scale deflection.

help me please
only if you really know​

Answers

Assume R is measured in meters (m) and M in kilograms (kg). Then

R ² / (GM) = [m]² / ([N•m²/kg²] [kg]) = m•kg / N = m•kg / (kg•m/s²) = s²

so t ² is indeed proportional to R ²/(GM).

What is 3.75 x 10^-7?

Answers

Answer:

Explanation:

3.75 * 10^-7

=3.75 * 1/10^7

=3.75/10000000

=3/800000000

any base which has it's power negative do it's reciprocal then the power will be positive.

A series circuit is shown in the diagram below. What is the potential drop
across Rg? (Ry - 200, R2-40 Q, R3-60 , V = 60 V) (Ohrris law: V-IR)

Answers

Answer:

Option C. 20 V

Explanation:

We'll begin by calculating the equivalent resistance of the circuit. This can be obtained as follow:

Resistor 1 (R₁) = 20 Ω

Resistor 2 (R₂) = 40 Ω

Resistor 3 (R₃) = 60 Ω

Equivalent Resistance (R) =?

R = R₁ + R₂ + R₃ (series arrangement)

R = 20 + 40 + 60

R = 120 Ω

Next, we shall determine the current in the circuit. This can be obtained as follow:

Voltage (V) = 60 V

Equivalent Resistance (R) = 120 Ω

Current (I) =?

V = IR

60 = I × 120

Divide both side by 120

I = 60 / 120

I = 0.5 A

Finally, we shall determine the potential drop across R₂. This can be obtained as follow:

Current (I) = 0.5 A

Resistor 2 (R₂) = 40 Ω

Voltage (V) =?

V = IR₂

V = 0.5 × 40

V = 20 V

Therefore, the potential drop across R₂ is 20 V

What is a temperature of 40 K equivalent to in degrees Celsius?

Answers

The answer is -233.15° C

-

Explanation:

We know,

0 Kelvin = -273.15° C

So, 40 K = (-273.15+40) = -233.15° C

If my answer helps then please mark me brainliest.

Answer:

-233.15'C

Explanation:

What is the energy of a photon of red light with a wavelength of 6.47 x 10-7 m ?

Answers

Answer:

3.44×10-27 joules.

Explanation:

E = h * c / λ = h * f,

E is the energy of a photon

h is the Planck constant

c is the speed of light

λ is the wavelength

List two applications of an echo? ​

Answers

Answer:

I think the echo sounds do not depend on the direction of the sound and sound the same as the original sound

Explanation:

An echo is defined as a sound that is produced when a sound wave is reflected back from any hard surface and repeated.

Two major application of echo include:

- Bats, fisherman, and dolphins use echoes to detect or identify any object /obstruction.

- Echo is widely used in medical science applications for imaging of human organs such as echocardiography and ultrasound.

I hope this help you!:)

What type of solution is seltzer water?

Answers

Answer: Gas-liquid

Explanation:

Seltzer water is also called “sparkling water” or “carbonated water,” and it refers to the water which has been infused with carbon dioxide gas, which then causes it to bubble.

The type of solution that seltzer water is "gas liquid". Here, the solution is liquid while the solute is gas.

Answer:

gas - liquid

Explanation:

i took the quiz

Temperature of substance changes from -20 celsius to 20 celsius. What is temperature change in kelvin scale

Answers

Answer:

313kelvin

Explanation:

40 degree celcius plus 273=313K

A student connects a small solar panel to a 40 a resistor to make a simple circuit. The solar panel produces a voltage of 2 0.
a Calculate the current in the student's circuit.

Answers

Solution for the above question : -

Ohm's law states that :

[tex]v = ir[/tex]

the terms used are :

[tex]r = resistance[/tex][tex]v = potential \: \: difference[/tex][tex]i = current[/tex]

let's solve for electric current :

[tex]2 = i \times 40[/tex]

[tex]i = \dfrac{2}{40} [/tex]

[tex]i = 0.05 \: A[/tex]

[tex]i = 50 \: mA[/tex]

[tex]\mathfrak{good\: \: luck \: \: for \: \: your \: \: assignment}[/tex]

A 1-m3 tank holds a two-phase liquid-vapor mixture of carbon dioxide at – 17 °C. The quality of the mixture is 70%. For saturated carbon dioxide at – 17 °C, vf = 0.9827×10-3 m3/kg and vg =1.756×10-2 m3/kg. Determine the masses of saturated liquid and saturated vapor, each in kg. What is the percent of the total volume occupied by saturated liquid?

Answers

Answer:

a)  [tex]m_v= 56.16 Kg[/tex]

    [tex]m_l= 14.04 Kg[/tex]

b)  [tex]\mu=1.37\%[/tex]

Explanation:

From the question we are told that:

Volume of tank [tex]V_t=1m^3[/tex]

Temperature of [tex]CO_2=-17^oC[/tex]

Quality of the mixture [tex]Q= 70%[/tex]

Specific Volume constants at [tex]-17^oC:[/tex]

 [tex]v_f = 0.9827*10^{-3} m3/kg[/tex]

 [tex]v_g =1.756*10^{-2} m3/kg.[/tex]

Generally the equation for Specific Volume is mathematically given by

 [tex]v = v_f + x (v_g -v_f)[/tex]

 [tex]v= (0.9827 * 10^{-3} ) + 0.8 * (17.56 * 10^{-3} -0.9827 * 10^{-3})[/tex]

 [tex]v= 0.014244 m3/Kg[/tex]

Generally the equation for Mass is mathematically given by

 [tex]m=\frac{v'}{v}[/tex]

 [tex]m=\frac{1}{0.014244}[/tex]

 [tex]m=70.20 Kg[/tex]

Generally the Mass of saturated Vapor is mathematically given by

 [tex]m_v=0.8 * (70.202)[/tex]

 [tex]m_v= 56.16 Kg[/tex]

Generally the Mass of saturated Liquid is mathematically given by

 [tex]m_l = (70.20 Kg)-(56.16 Kg)[/tex]

 [tex]m_l= 14.04 Kg[/tex]

b)

Generally the equation for Volume is mathematically given by

 [tex]v_l = m_l x v_f[/tex]

 [tex]v_l= (14.04 Kg) (0.9827 x 10{-3} m3/kg)[/tex]

 [tex]v_l= 0.01379 m^3[/tex]

Therefore Percentage of liquid

 [tex]\mu = \frac{v_l}{v} * 100 \%[/tex]

 [tex]\mu= [(0.01379 m^3)/(1 m^3)] *100 \%[/tex]

 [tex]\mu=1.37\%[/tex]

What is the position and kind of image produced by the lens below?

Complete the ray diagram to support your answer.​

Answers

The answer is convex image

What is the gravitational force between two objects?​

Answers

Answer:

Gravitational force -an attractive force that exists between all objects with mass; an object with mass attracts another object with mass; the magnitude of the force is directly proportional to the masses of the two objects and inversely proportional to the square of the distance between the two objects.

Explanation:

hope it helped

Gravitational force

A student starts a stop-watch when the bob reaches to point M.He counts each time the bob changes direction and stop the watch on the tenth change in direction.The watch shows a time of 12.0 seconds.calculate the time period

Answers

Answer:

m

Explanation:

.

how do you do question 1?

Answers

Answer:

DONT KNOW SORRY XD

Explanation:

BEC I AM BRAINLESS USING BRAINLY

Answer:

Ok, so at point 20 on the x axis you put 12 on the y-axis, then draw a line from 0, 0 to that point, this demonstrates the acceleration to 12 m/s.

Next, calculate the time he cycled for if he suckled the distance of 4800m :

4800/12 = 400 s

Put a dot at 400, 12. The time changed but the speed remained constant, line is horizontal.

For the last one, he had to decelerate at an equal speed. Since there is 100 s left of the journey at that stage, You need to draw a straight line from the previous point to 500, 0. So at time 500 he was not accelerating at all, he came to rest.

a) ?

b) -0.16 meters a second acceleration

Which will a positively charged object attract

Answers

Positively charged objects and neutral objects attract each other. hope this helped!

I have my exam monday I need some help!
A man standing on a dock is watching the waves pass by the end of the dock. He times the passage of the waves as one crest every 2.5 s. He estimates the distance between two crests to be 2.0 m. How fast are the waves moving?

Answers

Answer:

Explanation:

If the passage of the waves is one crest every 2.5 seconds, then that is the frequency of the wave, f.

The distance between the 2 crests (or troughs) is the wavelength, λ.

We want the velocity of this wave. The equation that relates these 3 things is

[tex]f=\frac{v}{\lambda}[/tex] and filling in:

[tex]2.5=\frac{v}{2.0}[/tex] so

v = 2.5(2.0) and

v = 5.0 m/s

The spring in the toy is compressed 0.070 meter by using a downward force of 12.0 newtons. Calculate the spring constant, in N/m, of the spring.

Answers

Answer:

The spring constant is 171.43 N/m.

Explanation:

compression in spring, x = 0.07 m

force, F = 12 N

Let the spring constant is K.

Use the formula of the restoring force of the spring

F = K x

12 = K (0.07)

K = 171.43 N/m  

Give atleast (5) etypes of cleaning tools , equipment,supplies, and materials that you can find either in your home or school. Identify each use

Answers

Answer and Explanation:

Cleaning tools, equipment, supplies, and materials that can be easily found in a school in one each are: scrub brush, sponges, buckets and brooms.

These equipments are essential to promote a clean, organized and safe environment and for this reason, they can be easily found both at school and in a home, since the cleanliness of these two places is essential for the well-being, proactivity and health of the people who attend them.

value of the refractive index of lens is 2.5 The curved surfaces are having The radius of curvature 10 cm and -12cm Out The focal length of the lens respectively find out the focal length of the lens?​

Answers

Answer:

4

dhsfb ffhgchbvffffggcg

Answer:

16.5

Explanation:

The frequency of a wave is the inverse of the wave's
wavelength
itude
perod
velocit

Answers

The answer is period I think

the same crops are grown in different seasons true or false​

Answers

Answer: False

Explanation:

Growing different crops in different seasons in the same field will deplete the soil of nutrients. False. Growing different crops In the same field actually help to improve the fertility of the field.

Please help me find the answers!

Answers

Answer:

1. T₁ is approximately 100.33 N

T₂ is approximately -51.674 N

2. 230°F is 383.15 K

3. Part A

The total torque on the bolt is -4.2 N·m

Part B

Negative anticlockwise

Explanation:

1. The given horizontal force = 86 N

The direction of the given 86 N force = To the left (negative) and along the x-axis

(The magnitude and direction of the 86 N force = -86·i)

The state of the system of forces = In equilibrium

The angle of elevation of the direction of the force T₁ = 31° above the x-axis

The direction of the force T₂ = Downwards, along the y-axis (Perpendicular to the x-axis)

Given that the system is in equilibrium, we have;

At equilibrium, the sum of the horizontal forces = 0

Therefore;

T₁ × cos(31°) - 86 = 0

T₁ = 86/(cos(31°)) ≈ 100.33

T₁ ≈ 100.33 N

Similarly, at equilibrium, the sum of the vertical forces = 0

∴ T₁×sin(31°) + T₂ = 0

Which gives;

100.33 × sin(31°) + T₂ = 0

T₂ = -100.33 × sin(31°) ≈ -51.674

T₂ ≈-51.674 N

2. 230° F to Kelvin

To convert degrees Fahrenheit (°F) to K, we use;

[tex]Degrees \ in \ Kelvin, K = (x^{\circ} F + 459.67) \times \dfrac{5}{9}[/tex]

Pluggining in the given temperature value gives;

[tex]Degrees \ in \ Kelvin, K = (230^{\circ} F + 459.67) \times \dfrac{5}{9} = 383.15[/tex]

230°F = 383.15 K

3. Part A

Torque = Force × perpendicular distance from the line of action of the force

Therefore, the clockwise torque = 9 N × 0.4 m = 3.6 N·m (clocwise)

The anticlockeisre torque = 13 N × 0.6 m = 7.8 N·m (anticlockwise)

The total torque o the bolt = 3.6 N·m - 7.8 N·m = -4.2 N·m (clockwise) = 4.2 N·m anticlockwise

Part B

The torque is negative anticlockwise.

what is the difference between static electricity produced by friction, conduction of electricity, and induction of an electrical charge?

Answers

Answer:

ummm a whole bunch

Explanation:

with respect to air the refractive index of ice is 1.31 and that of rock salt is 1.54 calculate the refractive index of rock salt with respect to ice​

Answers

Answer:

1.17

Explanation:

Given that,

The refractive index of ice wrt air = 1.31

The refractive index of rock salt wrt air = 1.54

We need to find the refractive index of rock salt with respect to ice.

We know that,

refractive index = (speed of light in air or vaccum)/( speed of light in that medium)

So,

The speed of light in ice = c/(1.31)

The speed of light in rock salt = c/(1.54)

So, the refractive index of rock salt with respect to ice​ is :

[tex]\mu=\dfrac{1.54}{1.31}\\\\=1.17[/tex]

So, the required refractive index of rock salt wrt ice is 1.17.

As a sample's temperature increases, which two factors also increase?
A. Particle size
B. Particle boiling point
DC. Particle kinetic energy
D. Particle speed​

Answers

particle kinetic energy and particle speed

helppls!!!!!!!!!!! ​

Answers

Answer:

The acceleration (a) is the gravitational constant (g), so 9.81 or 9.8 or 10 (9.81 in this case)

Final velocity:

Vf = vi (0 in this situation ) + gt

Vf = 9.8 * 260 (time in seconds)

Vf = 2548

(I am not sure why here it is 4.6, but since that is the only option after we answer the other two questions, it is.)

Height: Same formula as previous.

h = 1/2gt^2

h = 331240 meter (a lot) (I converted minutes to second by multiplying 4 my 60 + the other 20 sec) (The answer is a bit different because I used 9.8 as gravitational constant and they used 9.81)

A construction worker is carrying 40kg if he travels a distance of 50 meters how much work is being done

Answers

Answer:

Workdone = 19600 Nm

Explanation:

Given the following data;

Mass = 40 kg

Distance = 50 meters

We know that acceleration due to gravity is equal to 9.8 m/s².

To find the work done;

First of all, we would determine the force being exerted by the construction worker.

Force = mass * acceleration due to gravity

Force = 40 * 9.8

Force = 392 Newton

Next, we would determine the work done;

Workdone is given by the formula;

[tex] Workdone = force * distance[/tex]

[tex] Workdone = 392 * 50 [/tex]

Workdone = 19600 Nm

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