A metal block has a density of 5000 kg per cubic meter and a mass of 15,000 kg. What is its volume?

Answers

Answer 1

Taking into account the definition of density, the volume of the metal block is 3 m³.

What is density

Density is defined as the property that matter, whether solid, liquid or gas, has to compress into a given space.

In other words, density is a quantity that allows us to measure the amount of mass in a certain volume of a substance.

Then, the expression for the calculation of density is the quotient between the mass of a body and the volume it occupies:

[tex]density=\frac{mass}{volume}[/tex]

From this expression it can be deduced that density is inversely proportional to volume: the smaller the volume occupied by a given mass, the higher the density.

Volume of the metal block

In this case, you know that:

Density= 5000 [tex]\frac{kg}{m^{3} }[/tex]Mass= 15000 kgVolume= ?

Replacing in the definition of density:

[tex]5000 \frac{kg}{m^{3} } =\frac{15000 kg}{volume}[/tex]

Solving:

volume×5000 [tex]\frac{kg}{m^{3} }[/tex]= 15000 kg

volume= [tex]\frac{15000 kg}{5000 \frac{kg}{m^{3} }}[/tex]

volume= 3 m³

In summary, the volume of the metal block is 3 m³.

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Related Questions

what is momentum help ASAP​

Answers

Momentum is the rate of increase in speed or decrease in speed after application of force

The formula is given by

p=mv

p is momentum

m is mass

v is velocity

a standby generator is connected to 1540 w lamps and a musicians 600w amplifying system how much energy is used if the generator is used for 6 hours​

Answers

Answer:2140 watts x 6 hours =12.84 kWh. Are you looking for specific type units such as Jules?

A 10-cm long pencil is placed upright 50 cm from a concave mirror with focal length 0.50 m. What will be
the characteristics of any image that is formed?

Answers

A virtual and erect image is formed by concave mirror.

What is focal length?

The focal length of the mirror is the distance between the lens and the image sensor.

It is also defined as the distance from a lens or mirror to the focal point.

It is also stated by the formula

[tex]\frac{1}{y} +\frac{1}{u} = \frac{1}{f}[/tex]

u = -50 cm and f = 0.50 m (50cm)

[tex]\frac{1}{v} +\frac{1}{-50} =\frac{1}{50}[/tex]

v= -50 cm

where - sign shows that image is virtual.

Magnification  m= [tex]\frac{v}{u}[/tex]

m = -50/50

m = 0

hence, virtual and erect image will be formed.

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Differences between freezing point and melting point (Atleast 5 differences)​

Answers

Answer:

What is freezing point?

A liquid's freezing point is determined at which it turns into a solid. Corresponding to the melting point, the freezing point often rises with increasing pressure. In the case of combinations and for some organic substances, such as lipids, the freezing point is lower than the melting point. The first solid which develops when a combination freezes often differs in composition from the liquid, and the development of the solid alters the composition of the remaining liquid, typically lowering the freezing point gradually. Utilizing successive melting and freezing to gradually separate the components, this approach is used to purify mixtures.

What is melting point?

The temperature at which a purified substance's solid and liquid phases may coexist in equilibrium is referred to as the melting point. A solid's temperature goes up when heat is added to it until the melting point is achieved. The solid will then turn into a liquid with further heating without changing temperature. Additional heat will raise the temperature of the liquid once all of the solid has melted. It is possible to recognize pure compounds and elements by their distinctive melting temperature, which is a characteristic number.

The difference between freezing point and melting point:

While a substance's melting point develops when it transforms from a solid to a liquid, a substance's freezing point happens when a liquid transforms into a solid when the heat from the substance is removed.When the temperature rises, the melting point can be seen, and when the temperature falls, the freezing point can be seen.When a solid reaches its melting point, its volume increases; meanwhile, when a liquid reaches its freezing point, its volume decreases.While a substance's freezing point is not thought of as a distinctive attribute, its melting point is.While external pressure is a significant component in freezing point, atmospheric pressure is a significant element in melting point.Heat must be supplied from an outside source in order to reach the melting point for such a state shift. When a material is at its freezing point, heat is needed to remove it from the substance in order to alter its condition.

Reference: Berry, R. Stephen. "When the melting and freezing points are not the same." Scientific American 263.2 (1990): 68-75.

What do velocity, acceleration, force, and displacement, have in common?

Answers

Velocity, acceleration, force, and displacement, have magnitude and direction (ie vector quantity) in common

What is a vector quantity?

This is a which have both magnitude and direction. Example include:

VelocityDisplacement ForceAccelerationMomentWeight

What is a scalar quantity?

This is a quantity which has magnitude but no direction. Example include:

WorkEnergySpeedMassTimeDistance

From the above, we can see that velocity, acceleration, force, and displacement, have magnitude and direction (ie vector quantity) in common

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The main source of information used by astronomers to learn about objects in space is.

Answers

electromagnetic waves

Calculate the change in time for each quarter of the
The change
in time for the first quarter is
v
track. Record the change in time in Table C of your
seconds.
Student Guide.
The change in time for the second quarter is
seconds.
The change in time for the third quarter is
seconds.
The change in time for the fourth quarter is
seconds.

Answers

Answer:

The change in time for the first quarter is  seconds.  = 2.07

The change in time for the second quarter is  seconds.

=1.09

The change in time for the third quarter is  seconds.

=0.95

The change in time for the fourth quarter is  seconds.=0.81

Explanation:

Hope this helped.

Friction is a ____________ force
a. Artificial
b. Natural
c. Pessimistic
d. Negative

Answers

Answer:

natural is the answer

Friction is a natural force which exist

If we assume a typical efficiency for the body, as quoted in the video, how much energy input would it take to climb a ladder, increasing your body’s potential energy by 5,000 j?.

Answers

The energy input would it take to climb a ladder will be 20000 J.

What is the mechanical advantage?

Mechanical advantage is a measure of the ratio of output force to input force in a system, it is used to obtain the efficiency of the given mechanical machine.

Mechanical advantage is a measure of how much a machine multiplies the input force.

The complete question is;

"if we assume a typical efficiency of 25% for the human body how much energy input would it take to climb a ladder increasing body potential energy by 5000J"

The formula for the efficiency is;

[tex]\rm E = \frac{P}{\eta} \\\\ E = \frac{5000}{0.25} \\\\ E = 20000 \ J[/tex]

Hence, the energy input would it take to climb a ladder will be 20000 J.

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which best describes series​

Answers

Answer:

a single closed path of electrical components including a voltage source

When water vapor (a gas) starts to cool, it can
become a liquid. What causes this change in the
state of matter in water?

Answers

Answer:

This process is CONDENSATION

Explanation:

Condensation occurs when water vapour loses some of its kinetic energy to a colder body and changes into liquid state.

which lens is used to treat hypermetropia ? ​

Answers

Answer:

convex lense

Explanation:

people with hyperopia or hypermetropia are long sighted or farsighted, so what happens here is that light doesn't focus on the surface of the retina but behind it so the picture is moved forward by positioning a convex lense in front of a hypermetropic eye and is correctly centered in the retina.

Convex lens
People with hypermetropia have farsightedness where light rays fall behind the retina with convex lens picture is moved forward placing it on the hypermetropia eye and is correctly centered on the retina

What is the concentration of H+ ions at a pH = 8?

mol/L

What is the concentration of OH– ions at a pH = 8?

mol/L

Answers

Taking into account the definition of pH and pOH, the concentration of H⁺ ions at pH=8 is 1×10⁻⁸ M and the concentration of OH⁻ ions at pH=8 is 1×10⁻⁶ M.

Definition of pH

pH is a measure of acidity or alkalinity that indicates the amount of hydrogen ions present in a solution or substance.

The pH is defined as the negative base 10 logarithm of the activity of hydrogen ions, that is, the concentration of hydrogen ions or H₃O⁺:

pH= - log [H⁺]= - log [H₃O⁺]

Definition of pOH

Similarly, pOH is a measure of hydroxyl ions in a solution and is expressed as the logarithm of the concentration of OH⁻ ions, with the sign changed:

pOH= - log [OH⁻]

Relationship between pH and pOH

The following relationship can be established between pH and pOH:

pOH + pH= 14

Concentration of H⁺ ions

In this case, pH=8. Replacing in the definition of pH:

8= - log [H⁺]

Solving:

[H⁺]= 10⁻⁸= 1×10⁻⁸ M

Finally, the concentration of H⁺ ions at pH=8 is 1×10⁻⁸ M.

Concentration of OH⁻ ions

Being pH= 8, pOH is calculated as:

pOH + 8= 14

pOH= 14 - 8

pOH= 6

Replacing in the definition of pOH the concentration of OH⁻ ions is obtained:

- log [OH⁻]= 6

Solving

[OH⁻]= 10⁻⁶= 1×10⁻⁶ M

Finally, the concentration of OH⁻ ions at pH=8 is 1×10⁻⁶ M.

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A solenoid is configured to produce a magnetic field of 0.027T at its center. it has radius 1.4 cm and length 40cm and the wire can carry a maximum length of 12.0A. What is the total length required​

Answers

The total length of the wire required is 63 m.

What is current?

The current is the stream of charges which flow inside the conductors when connected across the end of voltage.

Given is a solenoid is configured to produce a magnetic field of 0.027T at its center. it has radius 1.4 cm and length 40cm and the wire can carry a maximum current of 12.0 A.

Radius, r = 1.4cm = 0.014 m

Length l = 40 cm = 0.4 m

If the current is I, then the magnetic field in solenoid is given by

B =  μ₀ n I

By substituting the values, we get

0.027 = 4π x 10⁻⁷ x n x 0.4

n = 1792 turns/unit length

Total length of wire = circumference x Turns

L = 2πr x N

where N = nl

Plug the values, we get

L = 2π x 0.014 x1792 x 0.4

L = 63 m

Thus, the total length of the wire is 63 m.

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3.Shanai drove 40 miles to the west, then turned around and drove 70 miles to the east.
Draw vectors that show each segment of her trip and the resultant displacement vector. Find
her resultant displacement.

Answers

Answer:

Explanation:

Comment

The main points are that

The arrowheads go in opposite directionsDisplacement is measured from the origin to the arrowhead of the last vector correctly drawn.the tail of the second vector starts where the arrowhead of the first vector is.

Solution

               40 miles west

<==========================   0

=====================================================>

                                                  Displacement (30 km east)

Answer

30 km east                

Kinetic energy of a body is increased by by 300% what is percentage increased in momentum

Answers

Answer

100% - double

200% - triple

300% - 4X

For a 300% increase the KE must be 4 time as large

KE2 / KE1 = M V2^2 / M V1^2 = (V1 / V2)^2 = 4

So V2 = 2 V1 for the requested increase

M V2 / M V1 = V2 / V1 = 2

So the momentum would double for a 100% increase

What is the degree measure of angle bac? round to the nearest whole degree. 19° 20° 70° 71°

Answers

The degree measure of angle bac will be 70°. Option C is correct.

What exactly is an angle?

The angle is the distance between the intersecting lines or surfaces. In addition, the angle is expressed in degrees. The angle is 360 degrees for a full revolution.

Given expression;

[tex]\rm cos^{-1}(\frac{3.4}{10})=x \\\\ x = cos^{-1}(0.34) \\\\ x = 70.12^0[/tex]

The degree measure of angle ∠bac will be 70°.

Hence option C is correct.

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Answer:

70 Degrees

Explanation:

Geometry B E2020!! :3

If a ball is thrown into the air with a velocity of 45 ft/s, its height in feet after t seconds is given by y=45t-15t2. Find the instantaneous velocity when t=4

Answers

Given that a ball is thrown into the air and its height in feet after t seconds is given by y = 45t - 15t²,  the instantaneous velocity when t=4 is -75ft/s.

What is the instantaneous velocity when t=4?

Given that;

Initial velocity = 45ft/sHeight in feet after t seconds is given by y = 45t - 15t² Instantaneous velocity = ?

First, we determine the derivative of y = 45t - 15t²

y' = (1)45 - (2)15t

y' = 45 - 30t

We substitute in t = 4

y' = 45 - 30t

y' = 45 - 30(4)

y' = 45 - 120

y' = -75ft/s

Given that a ball is thrown into the air and its height in feet after t seconds is given by y = 45t - 15t²,  the instantaneous velocity when t=4 is -75ft/s.

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Deena made a chart to summarize features of a velocity vs. time graph for objects with constant acceleration and objects with constant velocity.

Answers

The statement which best describes Deena's error is: B. Include the area of the rectangle under the line to find displacement for constant acceleration.

What is a velocity vs. time graph?

A velocity vs. time graph can be defined as a type of graph that is used to graphically represent the rate of change of velocity of an object with respect to time.

Based on the information provided in the table shown (see attachment), the statement which best describes Deena's error is her not including of the area of the rectangle under the line, so as to enable her find displacement for constant acceleration.

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Complete Question:

Deena made a chart to summarize features of a velocity vs. time graph for objects with constant acceleration and objects with constant velocity.

Which best describes Deena's error?

A. The line for constant velocity is not horizontal; it is diagonal and slopes downward.

B. Include the area of the rectangle under the line to find displacement for constant acceleration.

C. Find acceleration by finding the area of the rectangle above the line.

D. Find velocity by calculating the slope of the line.

how to find the sum of a convergent series

Answers

The formula that can be used to obtain a convergent series is given by;

a/1 – r.

What is a series?

In mathematics, we define a series as sum of numbers which could be convergent or divergent. In a convergent series, the summation of the numbers approaches a given value.

The formula that can be used to obtain a convergent series is given by;

a/1 – r.

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Explain an example of an object moving in projectile motion.

Answers

Tossing an object into the bin , you got some force applied on the object after which it will go into an projectile motion

An example of an object moving in projectile motion is; A basketball being thrown into a net.

What is an example of a Projectile Motion?

Projectile motion is the motion of an object thrown or projected into the air, subject to only the acceleration of gravity.

Now, an example of an object moving in a projectile motion is throwing a basketball into a basketball net in a game. This is because the ball is thrown into the air at an angle towards the net and as such is subject to only acceleration of gravity.

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and electric motor lifts an elevator a vertical distance of 18.0m in a time of 30.0s by exerting an upward force of 6.0x10^3 N . what power does the electric motor produce?

Answers

Answer:

[tex]\fbox {3.6kW}[/tex]

Explanation:

Formula used :

[tex]\boxed {P = F \times v} \leftarrow \rightarrow \boxed {P = \frac{F \times S}{t}}[/tex]

Given :

⇒ F = 6 × 10³ N

⇒ S = 18 m

⇒ t = 30 s

Solving :

⇒ P = 6 × 10³ × 18 / 30

⇒ P = 2 × 100 × 18

⇒ P = 3600 W

⇒ P = 3.6kW

A 9.0x10^-2kg ice cube at 0.0 degrees Celsius is dropped into a styrofoam cup holding 0.35 kg of water at 13 degrees Celsius.

A. Find the final temperature of the system. Assume the cup and the surroundings can be ignored.

B. Find the amount of ice (if any) remaining.

C. Find the initial temperature of the water that would be enough to just barely melt all of the ice.

Answers

A. The final temperature of the system is 0°C.

B. The amount of ice (if any) remaining is  0.0331 g

C. The initial temperature of the water that would be enough to just barely melt all of the ice is 20.57 °C.

What is specific heat?

The specific heat is the amount of heat required to change the temperature by 1°C. It is denoted by C.

Heat lost or gained is represented as

Q = m C ΔT

Given, Mass of ice, mice = 9x10⁻² kg, Mass of water, mw =0.35 kg, T = 13 °C

A. If ice is in excess, final water temperature will be 0°C.

B. Specific heat of water Cp = 1000 cal/kg°C

Latent heat of ice L = 80 kcal/kg

In that case, heat lost by water =Heat gain by ice

Q = mCp x dT = mL

0.35 x 1000 x 13 = m x 80 x 1000

m = 0.0569 kg of ice.

The gram of ice remaining = 0.09 - 0.0569

                                             = 0.0331 gram of ice.

Thus,  the amount of ice remaining is 0.0331 g

C. Heat required to melt 90 gram of ice,  Q  mL

Q = 90 x 80 = 7200 cal.

If the initial temperature of water needed = T,

mCp x dT = mL

350 x T = 7200

T = 20.57 °C

Thus,  the initial temperature of the water that would be enough to just barely melt all of the ice is  20.57 °C.

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Which Items are Matter? (Multiple Choice Question)

-Battery
-Electricity
-Mobile Phone
-Sound
-Light
-Heat

Answers

Battery, Mobile phone, and light

Which processes occur during the second stage of technological design? Check all that apply.
designing a solution
studying relevant information
rebuilding and retesting
reporting a solution
defining criteria of success
identifying a problem
building a prototype

Answers

Answer:

designing a solution

Explanation:

after knowing & identifying a problem we start putting a solution

2. A kg of iron and a kilo of lead, both at 1000 degrees Celsius, are kept on ice. It is discovered after some time that the iron has melted more ice than the lead. Why? 2 A vonal containing un or in kont in on oron The tomis motor an hoot​

Answers

The specific heat capacity of iron is greater than that of lead hence the iron will melt the ice more than the lead.

What is the specific heat capacity?

The specific heat capacity refers to the amount of heat that is required to raise the temperature of 1Kg of a body by 1 K.

We know that the specific heat capacity of iron is greater than that of lead hence the iron will melt the ice more than the lead.

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7. Many medicines started out as natural products.Penicillin was originally made from _______________
A. Poppies
B. Bark of the willow tree
C. The flower foxglove.
D. Mold

Answers

B.Bark of a willow tree

Answer:

D

Explanation:

PCN was discovered in mold

A practical machine cannot be 100% efficient?
please give me the answer.​

Answers

[tex]\huge\color{Basic}{\boxed{\tt{answer}}}[/tex]

A practical machine cannot be 100% efficient?

IF THE CHOICES ARE TRUE OR FALSE THEN U GOThe answer is false a machine cannot be 100 percent efficient because the output of a machine is always less than input. (correct me if Im wrong)

Have a great day<3

Answer: yes it cannot be 100% efficient

Explanation:

only an ideal machine with 0 friction can have 100 percent efficiency

Which of the following situations would cause the greatest decrease in the motion of molecules in a system

Answers

A is the correct answer

Answer:

Actually, the correct answer is D. The system releases 75 J of heat, and its volume doubles.

Explanation:

I took this computer-scored test, and while I was stuck on this answer for a while, I was able to get 100%. This was my thought process:

We know that molecular motion increases with an increase in temperature, because collisions increase. For that reason, for molecular motion to decrease in a system, as the question states, the system must RELEASE heat and decrease in temperature.  Additionally, when a system's volume is smaller, its molecular motion increases. This is because the molecules hit the container more easily and more often. If the volume is halved then, the molecules would have MORE motion, which we aren't looking for in this question! Therefore, the volume must DOUBLE so that less molecular motion takes place. The answer is D! :)

A spring with a force constant of 3x10^3 Nm-1 is used to measure the mass of an object. If the spring extends by 5cm when the object is hung from it, the mass of the object is

Answers

Answer:

15.29 kg

Explanation:

F = k * d                  5cm = .05 m

 = 3 x 10^3  n/m     *   .05 m  = 150 N

                                                =  150 kg -m / s^2

150 kg- m / s^2   / 9.81 m/s^2 =15.29kg

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Before the war was over, the __________ of both sides decreased.a. enduranceb. couragec. determination An independent clause contains a subject and verb, expresses a complete thought, and can stand on its own as a complete sentence.A dependent clause contains a subject and verb but does not express a complete thought; it depends on being joined to an independent clause to form a complete sentence. Dependent clauses can often be recognized by a marker word at the beginning of the clause that signals a subordinate relationship with an independent clause.Many sentence fragments are dependent clauses that have mistakenly been separated from the independent clauses they belong with.Which of the following is an independent clause? Mark all that apply.If you can work on Tuesdays.While my aunt does the dishes.Which is why we can't afford to go.As though he was leading a high speed chase.I don't have to go if I don't want to.Whether he can drive that far is irrelevant. how did agricultrural inovations contribute to the start of the industrial revolution Solve by applying the counting principle. James is choosing a Four-digit Passcode for his smartphone. How many different Passcodes are possible? There are Ten digits that James can choose from. Enter Solve by applying the counting principle . James is choosing a Four - digit Passcode for his smartphone . How many different Passcodes are possible ? There are Ten digits that James can choose from. define density and give its SI unit Up late, a tired engineer calculated the molar mass of nitroglycerin (C3H5N3O9) to be 193.7 g/mol, but this incorrect. What is the percent error of this incorrect molar mass HELP PLEASE!!!!!! AND TYYY SUPER URGENT AND EASY FOR MOST- 30 PTSfactorise 10x + 300 Find the value of x. Round to thenearest tenth.12x=[?] A car traveling at 120km/h towards west makes a right turn and travel north without changing its speed .120km/h120km/h.Using a vector diagram.Finding the magnitude and direction of the resultant velocity of the car how did the scientific revolution affect societies between the 17th and 19th centuries Perform the following mathematical operation and report answer to the correct number of significant figures 143.6 divided by 21.2 The mass of Jupiter is 1.898x10^27 kg, while the mass of Earth is 5.972x10^24 kg. How many times greater is the mass of Jupiter compared to the mass of the Earth? Round the answer in standard form to the nearest whole number. "Discuss cost and Revenue In the equation 3y = 21, what is the next step in the equation solving sequence Consider this liner function: y=-2x-5Where would you plot the ordered pairs for the values in the domain?D: {-6, -5, -2, 0, 1} The neighbors in South Mountain Village got tired of all the drug dealing and criminal activity surrounding a shop, the Mystery Market. The community boycotted the store, which eventually closed, and with the help of local financial institutions, a social services center was added to the area. What act is this an example of solve for x for this problem which country offers the most total paid family leav guaranteed to parents with children hdfs Analia is a school district manager. Here are some details about two schools in her district for the last school year:School A School BNumber of students 300030003000 400040004000Number of teachers 190190190 380380380Graduation rate 86\%86%86, percent 90\%90%90, percentBudget per student \$10{,}500$10,500dollar sign, 10, comma, 500 \$10{,}000$10,000dollar sign, 10, comma, 000% of students in sports club 62\%62%62, percent 68\%68%68, percentNumber of sports medals won 999 777SAT average 120012001200 105010501050SAT range (max-min) 900900900 700700700Analia wants to know which school has higher athletic achievements relative to the SAT average.1) Analia thought of two different ways to define this quantity. Identify these two definitions among the following options.Choose 2 answers:Choose 2 answers:(Choice A)A% of students in sports club divided by SAT average(Choice B)BGraduation rate divided by SAT average(Choice C)CNumber of sports medals won(Choice D)DNumber of sports medals won divided by SAT average2) Determine which school has higher athletic achievements relative to the SAT average, according to the two definitions. Did you get the same result for both definitions?Choose 1 answer:Choose 1 answer:(Choice A)AYes. According to both definitions, School A has higher athletic achievements relative to the SAT average.(Choice B)BYes. According to both definitions, School B has higher athletic achievements relative to the SAT average.(Choice C)CNo. The definitions have opposite results.