Mercury has a density of 13.56 g/mL. How many kilograms of mercury would you expect to fit in a cylindrical glass cup with a bottom radius of 5.75 inches and a height of 0.950 ft?

Answers

Answer 1

Answer:

263.152kg

Explanation:

The density of a substance is related to its mass and volume as follows;

density = mass / volume      

mass = density x volume       -------------(i)

The substance in question here is mercury which has;

density = 13.56g/mL = 13.56g/cm³

Since the mercury is going to be put in the cylindrical glass, the volume of the cylindrical glass is going to be equal to the volume of the mercury that will be put.

And we know that the;

volume of a cylinder = πr²h

Where;

π = 3.142

r = bottom radius of the cylinder = 5.75inches

h = height of the cylinder = 0.950ft

For uniformity, let's convert the radius and height of the cylinder to their corresponding values in cm

r  = 5.75 inches = 5.75 x 2.54 cm = 14.605cm

h = 0.950 ft = 0.950 x 30.48 cm = 28.956cm

Therefore, the volume of the cylinder;

v = 3.142 x (14.605cm)² x 28.956cm = 19406.5cm³

v = 19406.5cm³ [This is also the volume of the mercury necessary to fit the cylinder]

Now the following value has been found;

volume = 19406.5cm³

Substitute the values of density and volume into equation (i)  as follows;

mass = 19406.5cm³ x 13.56g/cm³

mass = 263152.14g

Convert the result to kg by dividing by 1000

mass = 263.152kg

Therefore, 263.152kg kilograms of mercury would fit in the cylindrical glass.


Related Questions

An object has a mass of 5 kg and a velocity of 20 m/s. What is the momentum of the object?(1 point)
25 kg⋅m/s
4 kg⋅m/s
100 kg⋅m/s
0.25 kg⋅m/s

Answers

Answer:

option C is correct

Explanation:

given mass=5 kg  

velocity=20 m/s

momentum,P=m v

p=5*20=100 kg m/s

The momentum of the object is 100kg.m/s

HOW TO CALCULATE MOMENTUM:

The momentum of a substance can be calculated by multiplying the mass of that substance by its average speed or velocity. That is;

Momentum (p) = mass (m) × velocity (v)

According to this question, an object is said to have a mass of 5 kg and a velocity of 20 m/s. Hence, the momentum can be calculated thus:

p = 20m/s × 5kg

p = 100 kg.m/s

Therefore, the momentum of the object is 100kg.m/s.

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What is the density of an object with a mass of 24 g and a volume of 225 cm3?

Answers

Answer:24/225

Explanation:density =mass/volume

a cannonball is fired with a speed of 76 m/s from the top of a cliff. It strikes the plane below with a speed of 89 m/s. if we neglect air friction, how high is the cliff

Answers

Answer:

we use the formula,

[tex]v {}^{2} = u {}^{2} + 2gh[/tex]

[tex]89 {}^{2} = 76 {}^{2} + 2(10)h[/tex]

[tex]h = (89 {}^{2} - 76 {}^{2} ) \div 20[/tex]

h= 107 m

What is speed in a particular direction?
acceleration
vector
speed
velocity

Answers

Answer:

Velocity

Explanation:

THE SPEED OF AN OBJECT IN A PARTICULAR DIRECTION IS THE OBJECT'S VELOCITY.

[tex]hope \: this \: helps[/tex]

Answer:

acceleration

Explanation:

scott travels north 5 miles, then goes west 3 miles, and then goes south for 2 miles.

what is the distance he went?
10 miles
8 miles
7 miles
6 miles

Answers

scott traveled 10 miles

Raul started out on his bike thirty meters to the south of my position. Five
seconds later, he was twenty meters to the north. How fast is Raul biking. Write
an equation to find his displacement, x, from the time, t. If he keeps going at the
same rate, where will he be one minute (sixty seconds from) when he started?​

Answers

Answer:

Let's define the North as the positive y-axis.

At t = 0s (t is the variable of time) we know that Raul is 30m at the South, so in our system, the position of Raul at t = 0s is:

p(0s) = -30m

After 5 seconds, at the time t = 5s, we know that the position of Raul is 20m at the North, so now the position is:

p(5s) = 20m.

a) First, speed is calculated as distance over time, or:

S = ( p(5s) - p(0s))/5s = (20m - (-30m))/5s = 50m/5s = 10m/s.

b) The displacement is defined as the difference between the final position and the initial position:

Displacement = p(5s) - p(0s) = 20m - (-30m) = 50m.

Now, knowing the speed is 10m/s, we can write the movement equation as:

p(t) = 10m/s*t + p(0s) = 10m/s*t - 30m

So the displacement at a time t is:

D = p(t) - p0s = 10m/s*t - 30m - (-30m) = 10m/s*t

c) the position one minute after he started will be:

p(1min)

But we have our equation in seconds, so we write 1min = 60s

p(60s) = 10m/s*60s - 30m = 600m - 30m = 570m

""When we were discussing thermodynamics the other day, Dave didn't say anything. That must mean he doesn't know anything about the topic." What would be the most useful question to debunk this claim?"

Answers

Answer

the most useful question to debunk this claim is

Could there be another reason why Dave remained quiet?

Explanation:

Because its possible Dave could have known something but he choose to be quite because of another reason, as thus will debunk that he knows nothing about the topic

a student wishes to find the volume of a piece of wood of irregular shape. her experiment requires the use of a small brass object of mass 200g. a] calculate the volume of the brass object. the density of brass is 8.4g/cubic cm.

Answers

Answer:

Volume, [tex]V=23.8\ cm^3[/tex]

Explanation:

It is given that,

Mass of small object of brass, m = 200 g

The density of brass is 8.4 g/cm³

We need to find the volume of the brass object. Density is equal to mass of an object per unit its volume.

So,

[tex]d=\dfrac{m}{V}[/tex]

V is the volume of the brass object

[tex]V=\dfrac{m}{d}\\\\V=\dfrac{200\ g}{8.4\ g/cm^3}\\\\V=23.8\ cm^3[/tex]

So, the volume of the brass object is [tex]23.8\ cm^3[/tex].

The volume of the brass object is 23.81 cm³.

Density is the ratio of the mass of a body and its volume. The S.I unit is kg/m³

To calculate the volume of the brass, we make use of the formula below

D = m/V................. Equation 1

Where D = density of the brass object, m = mass of the brass object, V = volume of the brass object.

make V the subject of equation 1

V = m/D.............. Equation 2

From the question,

Given: m = 200 g, D = 8.4 g/cm³

Substitute these values into equation 2

V = 200/8.4

V = 23.81 cm³

Hence, The volume of the brass object is 23.81 cm³

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You have 30 L of a liquid. How many gallons is this? (Note: 1 gal/3.79 L)

Answers

7.92 gal

explanation: 30 / 3.79 = 7.92
7.92gal so probably 8

Vanessa runs on the soccer field 20 meters North, then makes a cut to the right going East for 3 meters. What is Vanessa’s displacement from her original spot?

Answers

Answer:

20.2 m

Explanation:

Given that Vanessa runs on the soccer field 20 meters North, then makes a cut to the right going East for 3 meters. What is Vanessa’s displacement from her original spot?

The Vanessa displacement can be calculated by using pythagorean theorem.

Displacement = sqrt( 20^2 + 3^2 )

Displacement = sqrt( 400 + 9 )

Displacement = sqrt( 409)

Displacement = 20.2 m

1. What are the ways that scientists answer questions and
solve problems?
a. physical science
b. physics
C. observations
d. scientific methods

Answers

Answer:

C. observations

Explanation:

a scientist have to observe somethng to find the answers or solve problems

A straight stream of protons passes a given point in space at a rate of 2.5 x 109 protons/s. What magnetic field do they produce 1.5 m from the beam

Answers

Answer:

B = 5.3x10⁻¹⁷ T

Explanation:

The magnetic field can be calculated as follows:

[tex]B = \frac{\mu_{0}I}{2\pi R}[/tex]

Where:

μ₀: is the magnetic permeability = 4πₓ10⁻⁷ H/m

I: is the current          

R: is the distance between the magnetic field and the beam = 1.5 m

The current is:

[tex] I = 2.5 \cdot 10^{9} p/s*1.6 \cdot 10^{-19} C/p = 4.0 \cdot 10^{-10} A [/tex]

Hence, the magnetic field is:            

[tex]B = \frac{\mu_{0}I}{2\pi R} = \frac{4\pi \cdot 10^{-7} H/m*4.0 \cdot 10^{-10} A}{2\pi*1.5 m} = 5.3 \cdot 10^{-17} T[/tex]

Therefore, the magnetic field is 5.3x10⁻¹⁷ T.

I hope it helps you!  

The magnetic field will be "[tex]5.3\times 10^{-17} \ T[/tex]".

Magnetic field:

According to the question,

Magnetic permeability, [tex]\mu_0 = 4 \pi\times 10^{-7} \ H/m[/tex]

Distance between magnetic field and beam, R = 1.5 m

The current (I) will be:

= [tex]2.5\times 10^9\times 1.6\times 10^{-19}[/tex]

= [tex]4.0\times 10^{-10} \ A[/tex]

hence,

The magnetic field (B) be:

= [tex]\frac{\mu_0 I}{2 \pi R}[/tex]

By substituting the values,

= [tex]\frac{4 \pi\times 10^{-7}\times 4.0\times 10^{-10}}{2 \pi\times 1.5}[/tex]

= [tex]5.3\times 10^{-17} \ T[/tex]

Thus the response above is appropriate.

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1
A metre rule is used to measure a length
Which reading is shown to the nearest millimetre?
A 0.7 m
B
0.76 m
с
0.761 m
D
0.7614 m​

Answers

Answer:

the answer is 0.7

Explanation:

because in this this case he asked nearest millimeter so the anwer can be qualified as 0.7 you can covert this into cos tita

A 0.7 m

What is a Metre rule used to measure?

A meter ruler is a gadget or a sort of ruler that is used to measure the length and distance of various objects.

A meter rule has a length of one meter, which is equal to one hundred centimeters, as the name suggests.

According to the questions,

On a metric ruler, each individual line represents a millimeter (mm). The numbers on the ruler represent centimeters (cm). There are 10 millimeters for each centimeter. To read a metric ruler, each individual line represents .

As 0.7m = 70cm =700mm

Meter ruler can measure up to 100 cm. As the meter ruler is of 1m.

A metre ruler has a length of one metre, which is equal to one hundred centimetres, as the name suggests. A metre rule, on the other hand, is divided into smaller units called millimetres, with each centimetre divided into ten millimetres.

A metre rule, on the other hand, is divided into smaller units called millimetres, with each centimetre divided into ten millimetres.

As a result, up to one millimetre, a metre rule can be used to measure the shortest length.

A metre rule can be used for more than just measuring distances; it can also be used to draw straight lines and cut blades.

Therefore,

0.7m reading is shown to the nearest millimeter.

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2. It is easier to drag a mat when nobody is sitting on
it, and difficult when a person is sitting on it. Give
reason.​

Answers

Explanation:

because of the weight of the person sitting on it ...also frictional force increases

Hi ) how to do this??

Answers

Answer:

X = 12N

Explanation:

Anticlockwise moment = Clockwise moment

Taking the moment at the pivot,

Anticlockwise moment = X×2.0m

Clockwise moment = (2.0N × 4.0m) + (4.0N × 4.0m)

Hence, 2X = (8 + 16)

2X = 24

X = 12N.

I HOPE IT'S OK.

help pleaseeeee!! What is something that you would like to see a physicist develop in the future?

Answers

Teleportation (artificial or natural over wormhole).

A mouse ran 100 centimeters in
20 seconds. What was his speed?
A. 5 cm/s
B. 0.2 m/s
C. 2000 m/s
D. 120 m/s

Answers

Explanation:

Speed = 100/20 = 5cm/s

Option A is the correct answer

Speed = Distance/Time, therefore the speed of the mouse is 5 cm/s. Hence, option A is correct.

What is speed?

The pace at which a distance changes over time is referred to as speed. It has a dimension of time distance. As a result, the fundamental unit of time and the basic unit of distance are combined to form the SI unit of speed. Thus, the meter per second (m/s) is the SI unit of speed.

You can determine an object's speed if you know how far it moves in a given amount of time. For instance, an automobile is moving at a pace of 70 miles per hour if it covers 70 miles in an hour (miles per hour).

If you know how far something has traveled and how long it took to get there, you can calculate its average speed. Speed is calculated as speed = distance/time. Hence, option A is correct.

Learn more about speed, here:

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Two cars are travelling in the same direction on a road. The blue car is travelling at 50 m/s in front of the red car, which is travelling at 75 m/s. What is their relative speed? *

Answers

Explanation:

The speed of the red car, relative to the blue car, is:

v = 75 m/s − 50 m/s

v = 25 m/s

(a)
Explain, in terms of the momentum of molecules, how the gas in the balloon exerts
a pressure.​

Answers

Explanation: The molecules are continually colliding with each other and with the walls of the container. When a molecule collides with the wall, they exert small force on the wall The pressure exerted by the gas is due to the sum of all these collision forces. The more particles that hit the walls, the higher the pressure.

hope it helps

What is the slope of the line plotted below? (-2,-1) (4,2) A. 1 B. 2 C. -0.5 D. 0.5

Answers

Answer: D. 0.5

Explanation:

The slope formula is y2-y1/x2-x1.

2-(-1)/4-(-2) = 2+1/4+2

2+1/4+2 = 3/6 = 1/2

1/2 = 0.5

The slope is 1/2, or 0.5.

How earth's magnetic field is taken as uniform magnetic field ?​

Answers

Answer:

It is in contact with two vertical rails which are joined at the top. The rails are without friction and resistance. There is a horizontal uniform magnetic field of magnitude B perpendicular to the plane of the ring and the rails.

Explanation:

Not sure if this is correct but pls give thanks anyway!

who is the current electric minister of Nepal?​

Answers

i think "Barsaman Pun"

Explanation:

BARSAMAN PUN IS THE CURRENT ELECTRIC MINISTER OF NEPAL.

HOPE IT HELP.....❤❤☺

How many electrons does an atom have with 10 protons and an ionic charge of 2+

Answers

Answer:

8

Explanation:

Charge = protons − electrons

2 = 10 − e

e = 8

The mass of a body on the surface of the earth is 12kg. If acceleration due to gravity on
moon is 1/6 of acceleration due to gravity on earth, then its mass on moon will be:
a)2kg
b)12kg
c)72kg
d)zero​

Answers

The mass is still 12kg. Mass is the amount of matter, so that is independent of gravity. However, weight differs. Weight of this object on earth would be 117.6 N and 19.6 N on the moon.

4. Which of the following is equivalent to 800 cm?
a) 80000 nm
b) 8000 mm
c) 8.0x10^7 um
d) 8.0x10^5 km
e) 80 m

Answers

Answer:

Explanation:

1 cm =10mm so 800cm is equal to 8000mm.so b is the correct answer

Sebuah vektor gaya sebesar 40 N membentuk sudut 30° terhadap sumbu x positif. Komponen-komponen vektor tersebut terhadap sumbu x dan sumbu y adalah … N (Sin 30°= 1/2 √3 ; Cos 30°= 1/2) *

Answers

Answer:

Explanation:

Given that the force 40N F acting on the Cartesian x and y coordinates and forming an angle of 30 ° to the positive x-axis, the vector of the force component about the horizontal and vertical axes will be expressed as shown;

For the component force x;

Fx = Fcostheta

You know that F = 40N and theta = 30 °

Fx = 40cos30 °

Fx = 40 * √3 / 2

Fx = 40√3 / 2

Fx = 20√3 N

For the component force y;

Fy = Fsintheta

You know that F = 40N and theta = 30 °

Fy = 40sin30 °

Fy = 40 * 1/2

Fy = 20 N

Therefore, the vector components with respect to the x-axis and the y-axis are 20√3 N and 20N, respectively.

Draw a diagram to show the life-cycle of a
silk moth.​

Answers

[tex] \huge{ \underline{ \underline{ \green{ \bf{Answer:}}}}}[/tex]

The female silk moth lays eggs. When the eggs hatch a tiny Caterpillar comes out, This is the Silkworm or Larva. The silkworm feeds on leaves and grass. When it is ready to enter the next stage in its lifecycle, it first weaves a net around itself. It then secrets a fibre made up of proteins which hardens on exposure to air. This is the Silk fibre. It covers itself completely with this fibre to form a cocoon at this stage the Larva is called Pupa. The Pupa grows and changes inside the cocoon. A few weeks later the cocoon opens and an adult moth come out.

The Silk yarn is obtained from the cocoon of the silkworm. The breeding and management of silkworms is known as Sericulture.

━━━━━━━━━━━━━━━━━━━━

A 5.0 kg bike moving 10 m/s comes to a complete stop in 2 seconds. What is the average force of the brakes on the bike?

Answers

Answer:

25 N

Explanation:

Force : This is defined as the product of mass and acceleration. The unit of force is Newton or kgm/s².

From the question,

F = ma......................... Equation 1

Where F = Force of the brake, m = mass of the break, a = acceleration.

But,

a = v/t.................. Equation 2

where v = velocity, t = time.

Substitute equation 2 into equation equation 1

F = m(v/t)................ Equation 3

Given: m = 5.0 kg, v = 10 m/s, t = 2 seconds

F = 5(10/2)

F = 25 N.

Hence the average force of the brakes on the bike is 25 N

Answer:

The average force of the brakes on the bike is 25.0 N

Explanation:

The parameters given in the question are,

Mass, m = 5.0kg

Initial velocity, u = 10 m/s

Time, t = 2 sec

Since the bike came to a complete stop, then

Final velocity, v = 0 m/s

To determine the average force of the brakes on the bike; From Newton's second law of motion, Force is given as

F = ma

Where F is the force in N (Newtons)

m is the mass in kg

and a is acceleration in m/s²

Hence, we will first determine the acceleration.

From one of the equations of kinematics for linear motion,

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

Then,  [tex]a = \frac{v - u}{t\\}[/tex]

Putting the given parameters into the above equation, we get

[tex]a = \frac{0 - 10}{2}[/tex]

[tex]a = \frac{-10}{2}\\ a = - 5[/tex]m/s²

The negative sign indicates deceleration since the bike came to a stop,

Hence, [tex]a = 5[/tex] m/s²

From,

F = ma

F = 5.0 × 5

F = 25.0 N

If someone told you that they traveled 50 km east, are they describing the distance they traveled or their displacement? How do you know? *

Answers

Answer:

They are describing their displacement

Explanation:

The correct answer would be that they are describing their displacement.

Distance is a scalar quantity while displacement is a vector quantity. A scalar quantity only has magnitude without any indication of the direction while a vector quantity has both magnitude and direction.

Hence, if someone travels 50 km east, the distance they covered is only 50 km while the displacement is 50 km in the eastward direction.

A physical pendulum in the form of a planar object moves in simple harmonic motion with a frequency f. The pendulum has a mass m, and the pivot is located a distance d from the center of mass. Determine the moment of inertia of the pendulum about the pivot point

Answers

Answer:

[tex] I = \frac{mgd}{4\pi^{2}f^{2}} [/tex]

Explanation:

The moment of inertia (I) of the pendulum can be found using the following equation:

[tex] T = 2\pi\sqrt{\frac{I}{mgd}} [/tex]    

Where:

T: is the period of the pendulum

m: is the pendulum's mass

g: is the gravity

d: is the distance of the pivot from the center of mass

Solving the above equation for I:

[tex]  I = \frac{T^{2}*mgd}{(2\pi)^{2}} [/tex]     (1)

We have that the pendulum moves in simple harmonic motion with a frequency f, and this f is equal to:

[tex] f = \frac{1}{T} \rightarrow T = \frac{1}{f} [/tex]

By entering T into equation (1) we have:

[tex] I = \frac{T^{2}*mgd}{(2\pi)^{2}} [/tex]

[tex] I = \frac{(1/f)^{2}*mgd}{(2\pi)^{2}} [/tex]  

[tex] I = \frac{mgd}{4\pi^{2}f^{2}} [/tex]

Therefore, the moment of inertia of the pendulum about the pivot point is [tex] I = \frac{mgd}{4\pi^{2}f^{2}} [/tex].

I hope it helps you!  

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