what is measurement​

Answer:

The answer is below

Explanation:

1) The resultant force of two forces acting in the same direction is equal to the sum of the two magnitudes. Therefore:

Resultant force = 10N + 7N = 17 N

2) The resultant force(R) between two forces A and B at an angle θ is given by:

\(R=\sqrt{A^2+B^2+2ABcos\theta} \\\\R=\sqrt{7^2+10^2+2(7)(10)cos(60^o)} =14.8^o\\\\\)

3) The resultant force (R) between perpendicular forces (90°) A and B is given by:

\(R=\sqrt{A^2+B^2}\\ \\R=\sqrt{7^2+10^2}=12.2\ N\)

Given information: The average method reports the following unit data for the forming department. Units completed in the forming department are transferred to the painting department. Production cost information for the forming department follows.

Direct materials:
Units completed during the period = 45,000 units
Ending work in process inventory = 5,000 units
Direct materials cost = $202,500

Conversion costs:
Units completed during the period = 45,000 units
Ending work in process inventory = 5,000 units
Conversion cost = $189,000

a. Calculation of equivalent units of production for both direct materials and conversion for the forming department:
Equivalent units of production = Units completed during the period + (Ending work in process inventory * Degree of completion)
Direct materials:
Equivalent units of production = 45,000 + (5,000 * 50%) = 47,500 units

Conversion costs:
Equivalent units of production = 45,000 + (5,000 * 60%) = 48,000 units

b. Calculation of the cost per equivalent unit of production for both direct materials and conversion for the forming department:
Cost per equivalent unit of production = Total cost for the period / Equivalent units of production

Direct materials:
Cost per equivalent unit of production = $202,500 / 47,500 units = $4.26 per unit

Conversion costs:
Cost per equivalent unit of production = $189,000 / 48,000 units = $3.94 per unit

c. Calculation of the cost assigned to the forming department's output using the weighted average method:
Total cost = Cost of units transferred out + Cost of ending work in process inventory
Cost of units transferred out = Number of units transferred out * Cost per equivalent unit of production
Cost of ending work in process inventory = Number of units in ending work in process inventory * Cost per equivalent unit of production

Direct materials:
Cost of units transferred out = 40,000 * $4.26 per unit = $170,400
Cost of ending work in process inventory = 5,000 * $4.26 per unit = $21,300
Total cost = $170,400 + $21,300 = $191,700

Conversion costs:
Cost of units transferred out = 40,000 * $3.94 per unit = $157,600
Cost of ending work in process inventory = 5,000 * $3.94 per unit = $19,700
Total cost = $157,600 + $19,700 = $177,300

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Answer:

14 Newtons

Explanation:

6N + 8N = 14N

I will choose copper, because the thermal conductivity is the best.

The correct answer is 1.20 * 10¹⁶ photons are in the laser pulse.

What is the relation of Number of photons with energy?

A single photon has the energy: hv or = (h/2), where h is the Planck constant. 6.62x1034 Joules per second. About 10–19 Joules (not much!) are contained in each photon of visible light, which makes up the photons per second in a beam.

Given as per questions:

Wavelength (λ) of the laser pulse = 545 nm = 5.45 * 10⁻⁹ m

Total energy of pulse = 4.40 mJ

To determine:

The number of photons in the laser of a given energy

Explanation:

Energy per photon (E) = hc/λ

where h = planck's constant = 6.626 *10⁻³⁴ Js



C = speed of light = 3*10⁸ m/s

λ = wavelength

E = 6.626 10⁻³⁴ Js 3*10⁸ms-1 /5.45 * 10⁻⁹ m = 3.65 * 10⁻¹⁹ J

Now,

No of photons = total energy/Energy per photon

                = 4.40 * 10⁻³ J* 1 photon / 3.65 * 10⁻¹⁹ J = 1.20 * 10¹⁶ photons

Thus the laser pulse contains 1.20 * 10¹⁶ photons.

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When used on a regulatory sign, the color red indicates prohibition or the restriction of certain actions or behaviors.

Regulatory signs help direct traffic and control the movement of vehicles and pedestrians in a particular area or on a particular road. Regulatory signs come in a variety of colors, shapes, and sizes, and they are used to enforce traffic laws and ensure the safety of all road users. In general, red on a sign indicates a prohibition or restriction of some kind, while black or blue on a sign is used to indicate information or directions.

Some examples of regulatory signs that use the color red include stop signs, no parking signs, do not enter signs, and no U-turn signs. Regulatory signs are designed to be easy to understand and follow. They typically feature clear, simple text and bold graphics that make it easy for drivers and pedestrians to understand what they need to do to stay safe and follow the rules of the road.

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Answer:

ΔE = 1.031 eV

Explanation:

For this exercise let's calculate the energy of the photons using Planck's equation

          E = h f

wavelength and frequency are related

         c = λ f

         f = c /λ

let's substitute

         E = h c /λ

let's calculate

         E = 6.63 10⁻³⁴ 3 10⁸/1064 10⁻⁹

         E = 1.869 10⁻¹⁹ J

let's reduce to eV

         E = 1.869 10⁻¹⁹ J (1 eV / 1.6 10⁻¹⁹ J)

        E = 1.168 eV

therefore the electron affinity is

         ΔE = E - 0.137

         ΔE = 1.168 - 0.137

         ΔE = 1.031 eV

The electron affinity of thulium in units of electron volts per atom is; ΔE ≈ 1.031 eV

From Planck's equation, we can find the energy of the photons when given wavelength as;

E = hc/λ

Where;

h is Planck's constant = 6.626 × 10⁻³⁴ J.s

c is speed of light = 3 × 10⁸ m/s

λ is wavelength

We are given;

wavelength; λ = 1064 nm = 1064 × 10⁻⁹ m

Thus;

E = (6.626 × 10⁻³⁴ × 3 × 10⁸)/(1064 × 10⁻⁹)

E2 = 1.868 × 10⁻¹⁹ J

Converting to eV gives;

E2 = (1.868 × 10⁻¹⁹)/(1.6 × 10⁻¹⁹)

E2 = 1.1675 eV

We are given E1 = 0.137 eV.

Now, electron affinity is simply change in energy. Thus;

ΔE = 1.1675 - 0.137

ΔE ≈ 1.031 eV

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Answer:

v= 4 m/s

Explanation:

Momenutm is, by definition, the product of mass and velocity.

\(p = mv\)

Let's replace what we know and solve for whatever's left

\(100 kg\cdot m/s = 25kg \cdot v \rightarrow v= 4 m/s\)

you are on a pier on lake huron. if you jump in and are 10.9 ft below the surface of the water, what is the pressure? assume the atmospheric pressure is 13.9 psi and the density of the water is 61.0 lbm/ft^3.

Therefore, the total pressure at a depth of 10.9 ft below the surface of the water in Lake Huron is 1461.9 psi + 13.9 psi = 1475.8 psi.

To calculate the pressure at a depth of 10.9 ft below the surface of the water, you would use the formula for pressure due to a fluid: P = ρgh, where P is the pressure, ρ is the density of the fluid, g is the acceleration due to gravity, and h is the height of the fluid above the point of measurement.In this case, the density of the water is 61.0 lbm/ft^3, the acceleration due to gravity is 32.2 ft/s^2. So the pressure at a depth of 10.9 ft is: P = (61.0 lbm/ft^3)(32.2 ft/s^2)(10.9 ft) = 2088.82 lbf/ft^2 or 1461.9 psiIt's important to note that the pressure underwater increases by 1 atmosphere or 14.7 psi (or 14.7 lbf/in^2 or 101,325 Pa) for every 33 ft of depth, this means that you have to add the atmospheric pressure (13.9 psi) to the pressure calculated above. Therefore, the total pressure at a depth of 10.9 ft below the surface of the water in Lake Huron is 1461.9 psi + 13.9 psi = 1475.8 psi.

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The acceleration due to gravity varies according to the size of the planet.

Here is a list of the acceleration due to gravity (g) on the Moon and on the planets in our Solar System:

Moon:

g = 1.62 m/s^2

Mercury:

g = 3.7 m/s^2

Venus:

g = 8.87 m/s^2

Earth:

g = 9.8 m/s^2

Mars:

g = 3.71 m/s^2

Jupiter:

g = 24.79 m/s^2

Saturn:

g = 10.44 m/s^2

Uranus:

g = 8.87 m/s^2

Neptune:

g = 11.15 m/s^2

It's worth noting that the acceleration due to gravity is affected by the mass and size of a celestial body. Larger and more massive objects have a stronger gravitational pull and therefore a higher acceleration due to gravity.

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

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:

\(density=\frac{mass}{volume}\)

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.

In this case, you know that:

Replacing in the definition of density:

\(5000 \frac{kg}{m^{3} } =\frac{15000 kg}{volume}\)

Solving:

volume×5000 \(\frac{kg}{m^{3} }\)= 15000 kg

volume= \(\frac{15000 kg}{5000 \frac{kg}{m^{3} }}\)

volume= 3 m³

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

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Answer:

Friction is the force resisting the relative motion of solid surfaces, fluid layers, and material elements sliding against each other. There are several types of friction: Dry friction is a force that opposes the relative lateral motion of two solid surfaces in contact.

Coefficient of friction, ratio of the frictional force resisting the motion of two surfaces in contact to the normal force pressing the two surfaces together. It is usually symbolized by the Greek letter mu (μ). Mathematically, μ = F/N, where F is the frictional force and N is the normal force.

Answer:

The heat necessary to warm 500g of water from 20°C to 65°C is 37,620 J.

Explanation:

GIVEN: m = 500 gm, T₂ = 65°C AND T₁  = 20°C, we know that c (specific heat capacity) = 4180

TO FIND: The heat necessary to warm 500g of water from 20°C to 65°C.

SOLUTION:

By using the heat equation,

              Q=m c ΔT  

             ΔT = T₂ - T1

             ΔT = 65 - 20 = 45°C

In this case,

Q = 0.2 × 4180 × 45 = 37,620 J

Answer:

The overall ionic formula for a compound must be electrically neutral, meaning it has no charge. When writing the formula for the ionic compound, the cation comes first, followed by the anion, both with numeric subscripts to indicate the number of atoms of each.

Answer:

I need help on this tooo

Explanation:

The system that is colliding maintains its momentum. As a result, the ball B's speed is 2m/s (option -a) when it has the same mass as the ball A.

A body's capacity to produce the greatest displacement from an applied force is known as momentum. It is the result of adding mass and speed. The two bodies' total initial momentum and total final momentum are equal in a collision.

Consequently, let u be the starting velocity and v be the ending velocity.

m₁ u₁+ m₂ u₂ = m₁ v₁ + m₁ v₂

m₁ =  0.17 kg

u₁ = 4 m/s

m₂ = 0.17 kg

u₂ = 0

Then initial momentum = 0.17 × 4 m/s + 0 = 0.68 kg m/s

v₁ = v₁ cos 30° = 3.5×√3/2

v₂ = v₂cos 60 = v/2

0.68 kg m/s = (0.17 × 3.5×√3/2 ) +  (0.17 × v₂/2)

3.5×√3/2/2 + v₂/2 = 4

3.5√3 + v₂ = 8

then v₂ = 8-3.5(1.732)

v₂ = 1.94m/s. = 2m/s

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Rules for naming compounds are beneficial to the scientific community because it makes it easy to communicate scientific information.

Many compounds are called by different names among different groups of scientists in different parts of the world.

However, information sharing is a very vital aspect of scientific advancement. If scientists can not share information, then scientific research becomes more difficult.

There is therefore a need for a standard set of rules for naming compounds which are known to all.

This makes it easier for scientists to share information without encumbrances.

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A magnetic field created by the electric current causes the compass needle to move. Option D is correct choice.

When a current flows through a wire, it creates a magnetic field around it. This magnetic field interacts with the magnetic field of the compass needle causing it to move. The direction of the needle's movement is perpendicular to the direction of the current flow, as determined by the right-hand rule. Therefore, placing a compass near a simple circuit will cause the needle to move, indicating the presence of a magnetic field created by the current in the circuit. Hence, option D is correct.

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Answer:

2250N

Explanation:

W= mg,

where W= weight

m= mass

g= acceleration due to gravity

Given that the body is 90kg, m= 90kg.

Acceleration due to gravity of planet

= 2.5(10)

= 25 m/s²

Weight of body on planet

= 90(25)

= 2250N

*Mass is the amount of matter an object has and is constant (same on earth and the planet).

Answer:

Here

mass=90kg

time=2.5second

acceleration due to gravity=10m/s

now,,,

Force=???

Force=mass*acceleration

Force=90*10

Force=900N

The true statement about the blocks momentum is : The momentum of the block has increased by approximately 1/2 F₀t₁  ( B )

Given that the change in momentum is equivalent to the Area which is under the force time graph

where :

Area under the force time graph = 1/2 F₀t₁ . Therefore we can conclude that the momentum of the block has increased by an equivalent value of the are under the time graph.

Hence we can conclude that the true statement about the blocks momentum is The momentum of the block has increased by approximately 1/2 F₀t₁ .

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Attached below is the missing part of your question

missing options

Answer:

D. ) The force would be zero newtons

Explanation:

Because

If you are at the center of the earth, gravity is zero because all the mass around you is pulling "up" (every direction there is up!)

So F=mg so if g is zero F is also zero

Sure! Here are the steps for calculating the velocity and distance traveled by the car after 50 seconds :

Step 1: Calculate the velocity using the equation:

\(v = u + at\)

where:

- \(v\) is the final velocity

- \(u\) is the initial velocity (0 m/s, as the car starts from rest)

- \(a\) is the acceleration (3 m/s²)

- \(t\) is the time (50 seconds)

Substituting the values into the equation:

\(v = 0 + (3 \, \text{m/s²}) \times (50 \, \text{s})\)

Step 2: Calculate the distance traveled using the equation:

\(s = ut + \frac{1}{2}at^2\)

where:

- \(s\) is the distance traveled

- \(u\) is the initial velocity (0 m/s)

- \(a\) is the acceleration (3 m/s²)

- \(t\) is the time (50 seconds)

Substituting the values into the equation:

\(s = 0 \times (50 \, \text{s}) + \frac{1}{2} \times (3 \, \text{m/s²}) \times (50 \, \text{s})^2\)

Now, let's simplify these equations:

\(v = 3 \times 50\)

\(s = \frac{1}{2} \times 3 \times 50^2\)

Calculating the results:

\(v = 150\) m/s

\(s = 3750\) meters

Therefore, after 50 seconds, the car will have a velocity of 150 m/s and would have traveled a distance of 3750 meters.

The ratio of the radius of the motion of particle A to that of particle B is closest to 1:5 or 1/5.

The acceleration of the particle is given as;

a = v²/r

Where v is the velocity of the particle.

Hence, the ratio of the acceleration of the particles is given as;

a₁/a₂ = v₁²/v₂²... (1)

The period of a particle in uniform circular motion is given as;

T = 2πr/v

Where v is the velocity of the particle in circular motion.

Hence, the ratio of the periods of the particles is given as;

T₁/T₂ = r₁/r₂... (2)

From equation (1);

a₁/a₂ = v₁²/v₂²

Let us assume the velocity of the particle B to be V then;

8.5 = v₁²/V²

V = v₁/√8.5

Let the period of particle A be T, then from the question, the period of particle B is 2T.

T₁/T₂ = r₁/r₂

T/T2 = r₁/r₂

From equation (2);

T/T₂ = r₁/r₂

Let the radius of the particle B be r.

Then, the radius of particle A is;

8.5 = v₁²/V²

v₁²/V² = 8.5

v₁/√8.5 = 2.915v₂

v₁/v₂ = 2.915r₂ = r/2

r₁/r₂ = T/T₂ = 1/2r₁/r = 1/5

Therefore, the ratio of the radius of motion of particle A to that of particle B is 1:5, i.e. the closest to 1/5.

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Strong x-ray beams can be produced when cathode rays strike a metal anode.

This process is known as the production of bremsstrahlung radiation. When high-speed electrons, also called cathode rays, are accelerated and then collide with a metal target, they are abruptly decelerated, and the kinetic energy lost is converted into X-ray photons.

The resulting X-ray beam produced can be strong and intense, and its properties depend on the energy of the incident electrons and the material of the target.

Gamma rays moving through a magnetic field, alpha rays passing through a thin metal foil, or beta rays being absorbed by bones do not directly produce strong X-ray beams.

In summary, the correct answer is A) cathode rays striking a metal anode can produce strong X-ray beams.

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The collections of properties which contain only features that can be changed by a resultant force is: speed, shape and direction.

A resultant force refers to a total effective force that has both magnitude and direction, which is mainly obtained through the addition of two (2) or more forces.

Hence, a resultant force is a single force acting on an object or physical body and it is obtained by combining two (2) or more forces.

Generally, there are some properties that changes when a resultant force is applied on them and these include:

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