A piano technician slides a Steinway grand piano across a level floor at Carnegie Hall. The piano has a mass of 490 kg.
(a) Draw a free-body diagram, and calculate the normal force supporting the piano.

(b) If the coefficient of static friction between the floor and the piano is 0.35, calculate the minimum amount of force needed to get the piano to move.

(c) Once the piano is moving, a horizontal force of 1.1 x 10²N is necessary to keep it moving at a constant speed. Determine the coefficient of kinetic friction.

Answers

Answer 1

We have that the normal force is given as [tex]F_N=4802N[/tex],while the minimum amount of force needed to get the piano to move to be [tex]F_f=1680.7N[/tex] and

Coefficient of kinetic friction as [tex]\mu_k=0.23[/tex]

A)  [tex]F_N=4802N[/tex]

B) [tex]F_f=1680.7N[/tex]

C)  [tex]\mu_k=0.23[/tex]

From the question we are told that:

Mass [tex]m=490kg[/tex]

A)

Generally, the equation for normal force  is mathematically given by

[tex]F_N=mg[/tex]

[tex]F_N=(490kg*9.81)[/tex]

[tex]F_N=4802N[/tex]

B)

From the question we are told that:

Coefficient of static friction [tex]\mu=0.35[/tex]

Generally, the equation for Frictional Force  is mathematically given by

[tex]F_f=\mu mg\\\\F_f=4802*0.35[/tex]

[tex]F_f=1680.7N[/tex]

C)

From the question we are told that:

Horizontal force [tex]F_h =1.1 * 10^2 N[/tex]

Generally, the equation for coefficient of kinetic friction  is mathematically given by

[tex]\mu_k=\frac{F_h}{mg}[/tex]

[tex]\mu_k=\frac{1.1 x 10^2}{4802}[/tex]

[tex]\mu_k=0.23[/tex]

Therefore in conclusion

the normal force is given as [tex]F_N=4802N[/tex],while the minimum amount of force needed to get the piano to move to be [tex]F_f=1680.7N[/tex] and

Coefficient of kinetic friction as [tex]\mu_k=0.23[/tex]

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Related Questions

what are intermolecular forces

Answers

Answer:

The term “INTERmolecular forces” is used to describe the forces of attraction. BETWEEN atoms, molecules, and ions when they are placed close to each other. •

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Answer: are the forces which mediate interaction between molecules, including forces of attraction or repulsion which act between atoms and other types of neighboring particles, e.g. atoms or ions.

Explanation:

a radioactive element has a half-life of 30 days. calculate the mass of the element that remains after 20 days if 100g of the element decays. Also, calculate the decay constant.

Answers

Explanation:

the answer is in the image above

0) Which of the following is matter?
a) Dust
b) The moon
c) Stand of hair
d) All of the above

Answers

Answer:

All of the above is the answer

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Answer:

option d.

d) All of the above .

Which diagram shows the effect of cutting the
acceleration in Part A in half and not changing
the value of the initial velocity?

Answers

Acceleration is the rate of change of velocity over time. The diagram that shows the effect of cutting acceleration by half without changing initial velocity is graph (c)

The equation is given as:

[tex]v = 2t + 4[/tex]

The first equation of motion is:

[tex]v = u + at[/tex]

By comparing both equations, we have:

[tex]u = 4[/tex] --- initial velocity

[tex]a = 2[/tex] --- acceleration

When the acceleration is cut in half, the new acceleration is:

[tex]a_{new} = \frac a2[/tex]

[tex]a_{new} = \frac 22[/tex]

[tex]a_{new} = 1[/tex]

So, the equation of velocity is:

[tex]v = u + at[/tex]

[tex]v = 4 + 1 \times t[/tex]

[tex]v = 4 + t[/tex]

When [tex]t = 0[/tex]

[tex]v = 4 + 0 = 4[/tex]

When [tex]t = 1[/tex]

[tex]v = 4 + 1 = 5[/tex]

The graph of velocity that satisfies [tex]v = 4 + t[/tex] and the values of time (t) and velocity (v) tested above is (c).

See attachment for the diagram (graph)

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State Archimedes principle

Answers

[tex]\huge\bigstar{\underline{{\red{A}{\pink{n}{\color{blue}{s}{\color{gold}{w}{\color{aqua}{e}{\color{lime}{r}}}}}}}}}\huge\bigstar[/tex]

Archimedes’ principle is the physical law of buoyancy, discovered by the ancient Greek mathematician and inventor Archimedes, stating that any body completely or partially submerged in a fluid (gas or liquid) at rest is acted upon by an upward, or buoyant, force, the magnitude of which is equal to the weight of the fluid displaced by the body. The volume of displaced fluid is equivalent to the volume of an object fully immersed in a fluid or to that fraction of the volume below the surface for an object partially submerged in a liquid. The weight of the displaced portion of the fluid is equivalent to the magnitude of the buoyant force. The buoyant force on a body floating in a liquid or gas is also equivalent in magnitude to the weight of the floating object and is opposite in direction; the object neither rises nor sinks. For example, a ship that is launched sinks into the ocean until the weight of the water it displaces is just equal to its own weight. As the ship is loaded, it sinks deeper, displacing more water, and so the magnitude of the buoyant force continuously matches the weight of the ship and its cargo.

Answer:

Archimedes principle states that"When a body is fully or partially immersed in a liquid,it experience an upthrust which is equal to the weight of the liquid displaced"

Wat is acceleration!???​

Answers

Explanation:

Acceleration , rate at which velocity changes with time, in terms of both speed and direction.

If I walk 30 m north and turn around and walk 10 m to the south, what is the magnitude
of my displacement in meters?

Answers

Answer:

40m

Explanation:

Your total displacement would be 40m! Let me explain.

Going 30m north adds 30 to 0... so your total right now is 30m.

if you turn around and walk 10 m you have to add that 10 to the 30.

so your total displacement is 40m.

A one kilogram stone, falling freely form a height of 10 m , strikes the ground with a velocity

Answers

Answer:

14.1m/s

Hope it helps

Have a great day

y= 0 m
y = 10 m
v0 = 0 m/s
a = g = -9.8 m/s²

y= y0 + v0t + 1/2 * at²
0 = y = 10 + 0 + 1/2 * -9.8t²
-10 = -4.9t²
t² = 2.0408
t = 1.429 s

v = v0 + at
v = 0 – 9.8 * 1.429
v = – 14 m/s
Velocity of 14 m/s

? (Water is used to cool down the motor engine, why?​

Answers

Answer:

Most commonly anti-freeze is used in the motor engine, but water is sometimes used because it has a high thermal conductivity.

Explanation:

Help PLEASE ITS DUE TODAY

Answers

Hi :)

The formula for velocity is

v = displacement / change in time

velocity = 100 m / 4 seconds

velocity = 25 m/s

The formula for velocity is

v = displacement / change in time

velocity = 100 m / 4 seconds

velocity = 25 m/s

Explain partial eclipse and total eclipse for lunar eclipse in detail and summarise

Answers

Answer:

A total eclipse occurs when the dark silhouette of the Moon completely obscures the intensely bright light of the Sun, allowing the much fainter solar aureole to be visible. During any one eclipse, totality occurs at best only in a narrow track on the surface of Earth. This narrow track is called the path of totality.

A partial lunar eclipse happens when part of the Moon enters Earth's shadow. In a partial eclipse, Earth's shadow appears very dark on the side of the Moon facing Earth.

The live wire comes loose and touches the metal case explain how the Earth wire and fuse together make the heater electrically safe

Answers

Answer:

You would get an electric shock if the live wire inside an appliance, such as a cooker, came loose and touched the metal casing. ... A strong current surges through the earth wire because it has a very low resistance . This breaks the fuse and disconnects the appliance.

Explanation:

I'm not sure but I hope it helps!

One astronomical unit (AU) is about 1.5 x 108 km. Explain why this is the same as 150 x 100 km.

Answers

Answer:

To change 150x106 km to scientific notation, the leading number must be reduced to a  

number between 1 and 9.99999.... To do this, one must dDIVIDE by 100, yielding 1.50.  

In order to keep the entire quantity the same, one must then MULTIPLY the exponential  

part of the number of 100. This is equivalent to increasing the exponent from 6 to 8.

Explanation:

hope this helps

Fun Fact: A cow-bison hybrid is called a “beefalo”

QİYour pair of boots has a mass of 850g if each boot has
exactly the same mass what is the weight of each boot?

Answers

Answer:

It is 4,250 N

Explanation:

Mass of each boot:

[tex] = \frac{1}{2} \times 850 \\ \\ = 425 \: g[/tex]

Weight:

[tex]{ \sf{weight = mass \times acceleration}} \\ { \sf{weight = 425 \times 10}} \\ { \sf{weight = 4250 \: newtons}}[/tex]

plsss helpp will give brainliest!!!
here are answer choices for ALL of the blanks! :)
-flexibility
-cardiovascular fitness
-muscular fitness

Answers

Answer:

1. Flexibility.

2. Muscular Fitness

3. Cardiovascular Fitness

4. Cardiovascular Fitness

5. Flexibility

6. Muscular Fitness

7. Cardiovascular Fitness

Help due today as well

Answers

Answer: m/s north

explanation

The distance travelled will be 30m/s North.

How do data collected from tree rings provide evidence for climate
change?
Why isn’t this a answer when you search it

Answers

Answer:

Climate scientists compare the tree growth records to local weather records. For locations where a good statistical match exists between tree growth and temperature or precipitation during the period of overlap, the ring widths can be used to estimate past temperature or precipitation over the lifetime of the tree.

Name the component that reduces the flow of charge in the circuit.

Answers

Explanation:

Component Function

Closed switch

Electrical wire

Resistor A component that opposes or inhibits electrical current in a circuit. It can also convert electrical energy to heat or light.

Variable resistor A resistor whose resistance can be adjusted higher or lower.

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Give reason for the following:
a) An inflated balloon was pressed against a wall after it has been rubbed with a
piece of synthetic cloth. It was found that the balloon sticks to the wall.
b) When an object is thrown up, it comes back to ground.
c) Mountaineers suffer nose bleeding at higher altitudes.
d) Foundations of high rise buildings are kept wide.
e) Deep sea divers or high altitude fliers wear special suits.
f) Walls of a dam are thickened near the base.

Answers

a) An inflated balloon was pressed against a wall after it has been rubbed with a piece of synthetic cloth. It was found that the balloon sticks to the wall. This is because a positive and negative electric charge is produced, therefore the balloon sticks to the wall.

b) When an object is thrown up, it comes back to ground because of gravitational attraction force of earth.

c) Mountaineers suffer nose bleeding at higher altitudes because the oxygen level decreases with increase in altitude, which the body cannot adjust.

d) Foundations of high rise buildings are kept wide because more is the area of contact, less is the pressure efforts. So, foundations are wide so as to decrease the possibility of the building from falling down.

e) Deep sea divers or high altitude fliers wear special suits so as prevent their body from being crushed by the water pressure. Since water pressure is maximum at deep seas and oceans, therefore, more is the risk of being injured.

f) Walls of a dam are thickened near the base so that the dam can handle the kinetic energy pressure and prevent itself from breaking down, which if not, can lead to flooding.

HOPE IT HELPS...

Temperature is a measure of how hot or cold
something is but need
Explanation

Answers

Answer:

Temperature is a measure of the average kinetic energy of the particles in an object.

Using the modern celcius system of temperature measurement, We. an easily determine how hot or cold it is. It was also know as Centigrade. This is because it is based on the freezing and boiling points of water with 100 degrees between those temperatures.

5 reasons why people should use electricity wisely​

Answers

Answer:

1. heating

2. entertainment

3. cooling

4.educational purpose

5.comfort

34.9x46x809 I need help again

Answers

Answer:

1,298,768.6

hope that helps uh..

Answer:

1298768.6

Explanation:

34.9 x 46 = 1605.4

1605.4 x 809 = 1298768.6

the weight of elephant is 40000N. The area of its feet in contact with the ground is 0.25 m2. Show your working and give the unit

Answers

Answer:

P=160000Pa

Explanation:

You haven't specified what to calculate

But looking at the parameters I think the question is asking to calculate the pressure exerted.

Pressure=Force/Area

P=40000/0.25m²

P=160000Pa

Bonds Quick Check
Metallic bonds are responsible for many properties of metals, such as conductivity. Why is this possible? (1 point)
o Metals have low electronegativity, so they are conductive because they pass charges easily.
Two metals bonded together are going to be more conductive than a metal bonded with a
nonmetal.
O An attraction between a positive charge and a negative charge is created.
The bonds can shift because valence electrons are held loosely and move freely.

Answers

Answer:

The bonds can shift because valence electrons are held loosely and move freely.

Explanation:

The metallic bonds are responsible for many properties of metals, such as conductivity, the reason is, the bonds can shift because valence electrons are held loosely and move freely.

Metallic bond is the force that binds two metallic substances together.

The valence electron in this type of bond are always in constant motion, causing the electron to move from one neighboring atom to another.

This free electron character of the valence electron of the metallic bond is responsible for the high electrical conductivity of metals.

The valence electrons are always free to move when an electrical field is applied in the metal.

Thus, the metallic bonds are responsible for many properties of metals, such as conductivity, the reason is, the bonds can shift because valence electrons are held loosely and move freely.

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the density of the metal is 8.9g/cm³.what does it mean. What is the importance of the value​

Answers

Density of the metal is 8.9g/cm^3

It means per 1cm^3 Volume there is 8.9g of Mass occupied .

Density:-

[tex]\boxed{\sf Density=\dfrac{Mass}{Volume}}[/tex]

SI unit:-

SI unit of density is kg/m^3

CGS unit

CGS unit of density is g/cm^3

How is the frictional force produced? please answer my question in simple language..​

Answers

Explanation:

Frictional force is produced when two different objects are in very close contact and are slided against each other.

It also depends on the roughness of the object i.e, the rougher will be the object the higher friction will be produced and vice-versa.

A jewellery shop owner has two identical clear gemstones but cannot remember which one is diamond and which one is rutile. Rutile is a clear gemstone that appears identical to a diamond. It is often used as a cheaper alternative to diamond in jewellery. She is aware that the refractive index of diamond is 2.4 and the refractive index of rutile is 2.9. She has a machine capable of measuring the speed of light through each material and basic measuring equipment. Briefly describe how the shop owner can distinguish between the diamond and rutile gemstones. Use calculations to support your answer.

Answers

We know

[tex]\boxed{\sf n_{21}=\dfrac{C}{V}}[/tex]

How he find:-

The owner will measure speed of light through the index(Diamond or rutile).Then using calculations he fill find which is the velocity of diamond or rutile

For diamond

[tex]\\ \sf\longmapsto n_D=\dfrac{C}{V_D}[/tex]

[tex]\\ \sf\longmapsto 2.4=\dfrac{3\times 10^8ms^{-1}}{V_D}[/tex]

[tex]\\ \sf\longmapsto V_D=\dfrac{3\times 10^8ms^{-1}}{2.4}[/tex]

[tex]\\ \sf\longmapsto V_D=1.25\times 10^8ms^{-1}[/tex]

[tex]\\ \sf\longmapsto V_D=125\times 10^6ms^{-1}[/tex]

For rutile

[tex]\\ \sf\longmapsto n_R=\dfrac{C}{V_R}[/tex]

[tex]\\ \sf\longmapsto V_R=\dfrac{C}{n_R}[/tex]

[tex]\\ \sf\longmapsto V_R=\dfrac{3\times 10^8ms^{-1}}{2.9}[/tex]

[tex]\\ \sf\longmapsto V_R=1.03\times 10^8[/tex]

[tex]\\ \sf\longmapsto V_R=103\times 10^6ms^{-1}[/tex]

When an electromagnetic wave (like light) travels in a given medium, the speed of the wave in the medium depends on the refractive index of the material.

Such that if the refractive index is n₀, the speed of the wave in that material will be:

v = c/n₀

where c is the speed of light in vacuum.

c = 3×10^8 m/s

Now, we know that:

the refractive index of diamond is 2.4

the refractive index of rutile is 2.9

And the owner can measure (in some way) the speed of light through each material.

Looking at the equation of the speed of the wave in a material, we can see that as the index of refraction increases, the velocity should decrease.

Then when the light travels in the rutile (which has a larger index) it will have a smaller velocity than in diamond.

Where the speed in rutile is:

[tex]V_r = \frac{3\cdot 10^8 m/s}{2.9} = 103,448,275.1 m/s[/tex]

And in diamond is:

[tex]V_r = \frac{3\cdot 10^8 m/s}{2.4} = 125,000,000 m/s[/tex]

So measuring the speeds in each cristal, she can know which one is diamond and which one is rutile.

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If someone asks you what the volume of a box is, what are they asking?

Answers

Answer:

only God knows what they are asking

If the speed of light is 3.0*10(8) m/s, and the moon is 404,927 km away, how long would it take a radio signal to go from earth to the moon and back again

Answers

Answer:

Explanation:

formula

t = d/r

d = 404927 km or 404927000 meters

r = 3 * 10^8 m/s

t = 404927000 / 3 * 10^8

t =1.35 seconds.

That's one way. To get it to go all the way and back multiply by 2

t = 2 * 1.35

t = 2.70 seconds

What type of plate boundary do plates move apart?

Divergent

Transform

Convergent

Answers

Explanation:

Divergent is your answer.

have a good day.

The answer is divergent
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