if x is measured in meters and f(x) is measured in newtons, what are the units for ∫1000f(x)dx? a. newton/meter b. meter c. newton d. newton-meter

Answers

Answer 1

The units for ∫1000f(x)dx would be newton-meter. This is because the integral sign represents the sum of infinitely small areas under the curve of f(x) from 0 to 1000 meters. The correct option is d.

The value of f(x) is measured in newtons, and the value of x is measured in meters. When we multiply f(x) by 1000, we are essentially scaling the function by a factor of 1000 in the x-direction. This means that the area under the curve is also scaled by a factor of 1000 in the y-direction.

The units of an integral are always the product of the units of the function being integrated and the units of the variable of integration. In this case, the units of f(x) are newtons, and the units of dx are meters. Therefore, the units of the integral are newton-meters. This is a unit of work or energy, which makes sense because the area under the curve of a force-displacement graph represents the work done by the force over that displacement.

In conclusion, the units for ∫1000f(x)dx are newton-meter, which represents the work done by the force f(x) over a displacement of 1000 meters.

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Related Questions

A long, rigid conductor, lying along an x axis, carries a current of 5.0 A in the negative x direction. A magnetic field B: is present, given by B: ???? 3.0iˆ ???? 8.0x2jˆ, with x in meters and B: in milliteslas. Find, in unit-vector notation, the force on the

Answers

Answer:

Explanation:

magnetic field B = (3 i + 8 x 2 j )x 10⁻³ T

= (3 i + 16 j )x 10⁻³ T

L = - i ( unit length of conductor )

Force F = I ( L x B ) , I is current

= 5 [ - i x ( 3i + 16 j ) 10⁻³]

= 5 ( - 16 k ) x 10⁻³

F = - 80 x 10⁻³ k

Scientists can determine a fossil's actual age by using which of the following methods?
hypothesizing
relative dating
radiometric dating
estimation

Answers

The answer to your question is Radioactive Dating

An atom of xenon has a mass number of 127 amu. How many neutrons
does it contain? *

An atom of xenon has a mass number of 127 amu. How many neutronsdoes it contain? *

Answers

Answer:

73 neutrons.

Explanation:

Data obtained from the question:

Mass number of Xenon = 127.

Neutron number =...?

We can obtain the number of neutron present as follow:

Atomic number of Xenon = 54

Recall:

Atomic number = proton number = 54

Mass number = proton + neutron

127 = 54 + Neutron

Neutron = 127 – 54

Neutron = 73.

Therefore, 73 neutrons are present in the Xenon atom.

Find the initial velocity of an object traveling at a constant acceleration of 3.9 m/s2
, if the
object traveled 70,000 meters for 12 hours. Round to nearest hundredths place

Answers

Answer: 1.62 m/s

Explanation:

Distance/time=speed

12 hours in minutes is 720

12x60=720

720 minutes in seconds is 43200

720x60=43200

70000/43200=1.62037

1.62 m/s

You are pushing a 30 kg wooden crate across the floor. The force of sliding friction on the crate is 90 N. How much force must you exert on the crate to keep it moving with a constant velocity

Answers

Answer:

f=90N

Explanation:

What size tip is recommended to cut the 1/4 in. metal in this project?
A. 000
B. 01
C. 02
D. 00

Answers

The correct option would be D. 00.

A tip size of 00 is recommended to cut the 1/4 in. metal in this project. The smaller the tip size, the finer the cutting capability.

Since 1/4 in. is a relatively thin metal, a smaller tip size such as 00 would provide more precision and control during the cutting process.

It would allow for cleaner cuts and reduce the chance of excessive heat or distortion in the metal.

Using a larger tip size may result in less accuracy and could potentially cause damage to the material.

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Work out the current through an electric heater with a power of 1.38kW if it uses the 230V mains supply.


Need help quick ty

Answers

Answer:

I = 6 A

Explanation:

Given that,

Power of an electric heatr, P = 1.38 kW

The voltage of the mains supply, V = 230 V

We need to find the current through the heater. The electric power in terms of  voltage and current is given by :

\(P=V\times I\\\\I=\dfrac{P}{V}\\\\I=\dfrac{1.38\times 10^3}{230}\\\\I=6\ A\)

So, the current through an electric heater is 6 A.

A 0.5 kg block of playdough moving at 1.5 m/s is smashed into a 0.25 kg blob of playdough. calculate the speed
of the two stuck-together blobs immediately after colliding.

Answers

The final speed of both playdoughs which stick together after the collision is 0.5 m/s

The mass of the first playdough = 0.5 kg

The mass of the second playdough = 0.25 kg

The initial speed of the first playdough =  1.5 m/s

The initial speed of the second playdough = 2 m/s

The final speed of both playdoughs can be found using the formula,

       m₁u₁ + m₂u₂ = (m₁ + m₂) v

where m₁,m₂ is the mass of the first and second playdough respectively

           u₁,u₂ is the initial speed of the first and second playdough respectively

           v is the final speed of both playdough

Let us substitute the known values in the above equation, we get

          0.5 x 1.5 + 0.25 x 2 = (0.5 + 0.25) v

                         0.75 x 0.5 = 0.75v

                                  0.375 = 0.75v

                                         v = 0.375 / 0.75

                                            = 0.5 m/s

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A ball bouncing eventually coming to a stop A. Open system B. Closed system C. Isolated system

Answers

Given:

A ball bouncing eventually comes to stop.

To find:

What kind of a system is this?

Explanation:

An open system is a system where the free exchange of matter and energy with the surroundings takes place.

A closed system is where only the energy of the system is shared with the surrounding. In these kinds of systems, the exchange of matter does not take place.

An isolated system is where neither matter nor energy is exchanged between the system and the surrounding.

When a ball is bouncing, it gradually loses its kinetic energy to the surroundings and eventually comes to stop. But the mass of the ball remains the same. Thus this is a closed system.

Final answer:

The given system is a closed system.

Therefore the correct answer is option B.

The Flash dodges 80 bullets in 20 seconds. How many bullets he dodges per second is called the "frequency". How long it takes to dodge one bullet is the "period. " In other words, a period is 1 cycle of oscillation, or the time it takes for one full revolution to occur.

Answers

Answer:

80:20

20/20=1

80/20=4

he doges 4 in 1 second

Explanation:

Hope this helps! =D

finley's pumpkin had a mass of 6.56.56, point, 5 kilograms (\text{kg})(kg)(, start text, k, g, end text, )before he carved it. after it was carved, the pumpkin had a mass of 3.9\,\text{kg}3.9kg3, point, 9, start text, k, g, end text. what was the percent decrease in the mass of the pumpkin?

Answers

According to the given statement 40.55 %  was the percent decrease in the mass of the pumpkin.

What are weight and mass?

In order to determine how much matter a body contains, its mass is utilized. Mass is denoted by the letters m or M. The acceleration caused by gravity on a mass is measured in terms of weight. W is usually an acronym for weight.

Briefing:

6.56 kg was the pumpkin's previous mass.

Pumpkin's new weight is 3.9 kg.

Pumpkin mass loss is equal to the difference between the previous and new masses of pumpkin.

6.56 kg less 3.9 kg equals 2.66 kg

The pumpkin's mass will now have decreased by the following percentage:

\($\frac{\text { Decrease in mass }}{\text { Previous mass }} \times 100$\)

=2.66 / 6.56 * 100

= 0.40548780487 * 100

= 40.55 %

Consequently, the pumpkin's mass decreased by 40.55% as a percentage.

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A 10 kg bowling ball that is 20 meters above ground has more gravitational potential energy than a 1000 kg wrecking ball that's on the ground (height is Om), True or False?

Answers

Answer:

True

Explanation:

The Gravitational potential energy is given by:

G = mgh

m = mass of body ; g = acceleration due to gravity ; h = height

G for a ball of mass 10kg ; height of 20 meters above the ground

G = 10kg * 9.8m/s² * 20m = 1960 kgm²/s²

G for a ball of mass 1000kg at height, 0 meters :

G = 1000 * 9.8 * 0 = 0

1960 > 0

Hence, Gravitational potential energy for 10kg ball at height 20m is greater Thammfor a 1000kg ball on the ground.

A boat uses its motor to increase its speed from 5 m/s to 7 m/s. If the boat has a mass of
250 kg, what was the impulse applied by the motor?

Answers

Answer:

J = 500 kg-m/s

Explanation:

Given that,

Initial speed of the motor, u = 5 m/s

Final speed of the motor, v = 7 m/s

Mass of the boat, m = 250 kg

We need to find the impulse applied by the motor. We know that impulse is equal to the change in momentum. It is represented by letter J.

J = m(v-u)

J = 250 (7-5)

J = 500 kg-m/s

Hence, the impulse applied by the motor is 500 kg-m/s.

they say what goes up must come down does that mean that all of our intelligence will... is everybody in the future gonna be more and more dumb!

Answers

I don’t think that phrase is mentally true but it is physically true. Things that go down are trends, money, success, etc. Although what goes up ‘could’ go down for things like smarts and intelligence.

_______ is related to the energy of motion of the particles of matter.

Answers

Answer: thermal energy

7. Give reason: a. The motion of a bu's starting from a bus station is an example of non- uniform motion. how


Answers

Answer:

See below

Explanation:

It is a lot of stop and go....various speeds and accelerations .

how are the flow of visible, infrared energy and the earth's atmosphere are affected by greenhouse gases

Answers

Greenhouse gases, such as carbon dioxide and methane, trap and re-emit infrared radiation, leading to an increase in the Earth's surface temperature.

Greenhouse gases play a crucial role in regulating the Earth's energy balance. When sunlight reaches the Earth's surface, it is absorbed and re-emitted as infrared radiation. Greenhouse gases in the atmosphere, such as carbon dioxide (CO2), methane (CH4), and water vapor (H2O), are transparent to incoming solar radiation but can absorb and re-emit certain wavelengths of infrared radiation. This property allows them to trap and retain heat, resulting in the greenhouse effect.

As greenhouse gas concentrations increase, more infrared energy is absorbed and re-emitted back towards the Earth's surface. This leads to an overall increase in the Earth's surface temperature, contributing to global warming. The enhanced greenhouse effect can disrupt the natural balance of energy in the atmosphere and result in climate changes, including rising temperatures, altered precipitation patterns, and more frequent extreme weather events.

Additionally, the flow of visible light is minimally affected by greenhouse gases, as they are relatively transparent to this portion of the electromagnetic spectrum. However, it is the absorption and re-emission of infrared radiation by greenhouse gases that significantly impacts the Earth's energy balance and influences the Earth's climate system.

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Please help me with this

Please help me with this

Answers

I can’t see the full pic

Answer:

I can't really see it sorry

what is the speed of visible light waves when traveling through a vacuum? about 3 cross 10^8 m/s about 350 m/s about 1 cross 10^8 m/s light waves cannot travel through a vacuum. about 2 cross 10^8 m/s

Answers

The speed of visible light waves when travelling through a vacuum is about 3 X 10⁸ m/s.

What is electromagnetic waves?

In terms of science, electromagnetic radiation is made up of electromagnetic field waves that travel over space while carrying radiant electromagnetic energy. It consists of X-rays, gamma rays, microwaves, infrared, light, and radio waves. These waves are all a component of the electromagnetic spectrum.

The speed of electromagnetic waves, which includes visible light, radio light and x-rays is 3 X 10⁸ m/s. This is same as that of the speed of visible light in the presence of air.

The speed of light is depicted using the letter 'c', and it a universal constant value. It is a physical constant and important in many areas of physics.

The speed of light in water is 2.25 X 10⁸ m/s and that in glass is 2 X 10⁸ m/s. The speed varies with respect to the medium.

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What is the acceleration of the object?

What is the acceleration of the object?

Answers

That is b: 0, because the velocity does not change and the acceleration is the change of velocity over a specific time.

which component acts a platform on which an application software runs.​

Answers

Answer:

System software acts as a platform on which an application software program runs.

What is the difference and a similarity between constructive interference and destructive interference?

Answers

In constructive interference, waves that are in phase will combine together and increase the amplitude. In destructive interference, waves are out of phase and cancel one another out.

When two waves occupy the same point, superposition occurs. ... Constructive interference is when two waves superimpose and the resulting wave has a higher amplitude than the previous waves. Destructive interference is when two waves superimpose and cancel each other out, leading to a lower amplitude.

determine the electrical conductivity of a cu-ni alloy that has a yield strength of 140 mpa.

Answers

Copper-nickel (Cu-Ni) alloys are high-strength and corrosion-resistant alloys that are used in a wide range of applications, including electrical applications. The electrical conductivity of a Cu-Ni alloy is dependent on a variety of factors, including the alloy composition, temperature, and mechanical properties, such as the yield strength.A Cu-Ni alloy that has a yield strength of 140 MPa may have a different electrical conductivity compared to another Cu-Ni alloy that has a different yield strength.

However, in general, Cu-Ni alloys are known for their high electrical conductivity, with electrical conductivity values ranging from 7 to 45% International Annealed Copper Standard (IACS).Cu-Ni alloys have excellent electrical conductivity because copper is an excellent conductor of electricity, while nickel improves the alloy's resistance to corrosion and oxidation. Additionally, Cu-Ni alloys have good thermal conductivity, making them useful in applications where heat transfer is necessary. Overall, determining the electrical conductivity of a Cu-Ni alloy requires an understanding of the specific alloy's composition, temperature, and mechanical properties. However, in general, Cu-Ni alloys are known for their high electrical conductivity and are used in many electrical applications.

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pls
help!
If the shortest leg in the following 30°-60°-90° triangle has length 9 meters, what are the lengths of the other leg and the hypotenuse? Enter the exact, fully simplified answers. 30° 2x √3x The

Answers

The lengths of the other leg and the hypotenuse of the 30°-60°-90° triangle with one leg measuring 9 meters are 9√3 and 18 meters, respectively.

The shortest leg of a 30-60-90 triangle is half the length of the hypotenuse. Since the shortest leg is 9 meters, the hypotenuse is 18 meters. Since the other leg is opposite the 60-degree angle, we can use the fact that it is √3 times the length of the shortest leg. Thus, the other leg is 9√3 meters long. Therefore, the lengths of the other leg and the hypotenuse of the 30°-60°-90° triangle with one leg measuring 9 meters are 9√3 and 18 meters, respectively.

In a right triangle, the hypotenuse is the longest side, an "inverse" side is the one opposite a given point, and an "contiguous" side is close to a given point. We utilize unique words to depict the sides of right triangles. The hypotenuse of a right triangle is consistently the side inverse the right point.

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Hold your index finger and middle fingers close to each other, leaving a small slit between them about 1 mm in width. Look through the slit into a source of light such as the window or lamp (NOT THE SUN). You will need to look with one eye up close to the slit. Why do the vertical black lines show up when your fingers are close together but not when they are far apart? Explain.

Answers

Answer:

I would say tunnel vision cause your only using one eye and if your looking through a tiny space your vision gets blury

Explanation:

Electrostatic Field Equation
E = kq/r^2If the q is doubled what happens to E? (Give a value)

Answers

Electrostatic Field Equation

\(E = kq/r^2\) If q is doubled, E will be doubled as well, resulting in\(E = 2kq/r^2.\)

The electrostatic field equation states that the electric field strength (E) at a point in space is proportional to the electric charge (q) and inversely proportional to the square of the distance (r) between the point and the charge. The proportionality constant (k) is known as Coulomb's constant and has a value of approximately \(9 x 10^9 Nm^2/C^2.\)

When q is doubled, the numerator of the equation doubles, and as r^2 remains the same, the value of E will also double. This is because the strength of the electric field increases with the amount of charge present. The unit of electric field strength is Newtons per Coulomb (N/C), which represents the force exerted on a unit charge in the field.

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Alisa, a skateboarder, is riding down a hill. If Alisa and the skateboard are considered a single object, what forces are acting on her? Check all that apply.

Answers

Answer: gravity

normal force

friction

Explanation:

A force is refered to as the interaction which when unopposed, will lead to a change in an objects motion. The velocity of an object will be changed when force is applied.

Since Alisa s riding down a hill and she and the skateboard are considered to be a single object, then the forces that are acting on her include gravity, normal force and friction.

If a rock on a cliff starts with 3,000 J of GPE and 0 J of KE and ends with 0 J of GPE and 5,000 J of KE, what law of physics would this violate?

Answers

The law of physics that this scenario would violate is the law of conservation of energy.

What is the law of conservation of energy?

The law of conservation of energy states that energy possessed by an object or physical body can neither be created nor destroyed but can only be transformed from one form to another.

This ultimately implies that, the energy possessed by the rock at the beginning must be equal to the energy possessed by the rock at the end in accordance with the law of conservation of energy.

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calculate the wavelength of a photon( in nm) required to ionize the first electron in germanium( ie1

Answers

The wavelength of a photon required to ionize the first electron in germanium is approximately 0.64 nm.

The energy required to ionize the first electron in germanium can be calculated using the Rydberg formula:

E = -Rhc(Z_eff)^2 / n^2

where E is the ionization energy, R is the Rydberg constant, h is Planck's constant, c is the speed of light, Z_eff is the effective nuclear charge (which is 2.2 for germanium), and n is the principal quantum number (which is 1 for the first electron).

Solving for E and converting to units of joules:

E = -Rhc(Z_eff)^2 / n^2
E = -(2.18 × 10^-18 J)(3.00 × 10^8 m/s)(2.2)^2 / 1^2
E = -1.93 × 10^-18 J

The energy of a photon can be calculated using the equation:

E = hc/λ

where λ is the wavelength of the photon.

Solving for λ and converting to units of nanometers:

E = hc/λ
λ = hc/E
λ = (6.626 × 10^-34 J s)(3.00 × 10^8 m/s)/(1.93 × 10^-18 J)
λ = 0.64 nm

Therefore, the wavelength of a photon required to ionize the first electron in germanium is approximately 0.64 nm.

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Calculate Kinetic Energy The potential energy of a swing is 200 J
at its highest point and 50 J at its lowest point. If mechanical
energy is conserved, what is the kinetic energy of the swing at its
lowest point?

Answers

Answer:

150J

Explanation:

Pi = Pf + Kf

200 = 50 + Kf

---> Kf = 150J

The kinetic energy of the swing at its lowest point is 150 J.

What is energy?

Energy is the ability or capability to do tasks, such as the ability to move an item (of a certain mass) by exerting force. Energy can exist in many different forms, including electrical, mechanical, chemical, thermal, or nuclear, and it can change its form.

Given in the question the potential energy of a swing is 200 J at its highest point and 50 J at its lowest point

Pi = Pf + K E

200 = 50 + K E

K E = 150 J

The kinetic energy of the swing at its lowest point is 150 J.

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