What equation is used to determine the total resistance in a series circuit?

The total distance covered by the car is 300 miles.

The total displacement covered by the car is zero.

The average speed of the car is 17.88 m/s.

The average velocity of the car is also zero.

Distance between the points A and B, d = 150 miles

Time taken by the car to travel from A to B, t₁ = 3 hours

Time taken by the car to travel from B to A, t₂ = 5 hours

a) Given that the car travelled from A to B and then back to A.

Therefore, the total distance covered by the car is,

Distance = 2 x d

Distance = 2 x 150

Distance = 300 miles

Since the car is travelling from A to B and then returning back to the initial point A, the total displacement covered by the car is zero.

b) The speed with which the car travelled from A to B is,

v₁ = d/t₁

v₁ = 150/3

v₁ = 50 miles/hr

v₁ = 22.35 m/s

The speed with which the car travelled from B to A is,

v₂ = d/t₂

v₂ = 150/5

v₂ = 30 miles/hr

v₂ = 13.41 m/s

Therefore, the average speed of the car is,

v = (v₁ + v₂)/2

v = (22.35 + 13.41)/2

v = 17.88 m/s

As, the total displacement of the car is zero, the average velocity of the car is also zero.

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Answer:

(a) T = 0.015 N

(b) M = 1.53 x 10⁻³ kg = 1.53 g

Explanation:

(a) T = 0.015 N

First, we will find the speed of waves:

\(v =f\lambda\)

where,

v = speed of wave = ?

f = frequency = 120 Hz

λ = wavelength = 6 cm = 0.06 m

Therefore,

v = (120 Hz)(0.06 m)

v = 7.2 m/s

Now, we will find the linear mass density of the coil:

\(\mu = \frac{m}{l}\)

where,

μ = linear mass density = ?

m = mass = 1.45 g = 1.45 x 10⁻³ kg

l = length = 5 m

Thereforre,

\(\mu = \frac{1.45\ x\ 10^{-3}\ kg}{5\ m}\\\\\mu = 2.9\ x\ 10^{-4}\ kg/m\)

Now, for the tension we use the formula:

\(v = \sqrt{\frac{T}{\mu}}\\\\7.2\ m/s = \sqrt{\frac{T}{2.9\ x\ 10^{-4}\ kg/m}}\\\\(51.84\ m^2/s^2)(2.9\ x\ 10^{-4}\ kg/m) = T\)

T = 0.015 N

(b)

The mass to be hung is:

\(T = Mg\\\\M = \frac{T}{g}\\\\M = \frac{0.015\ N}{9.8\ m/s^2}\\\\\)

M = 1.53 x 10⁻³ kg = 1.53 g

The angular momentum of the particle in the x-component, y-component, and z-component are 3.12, 2.84, and 1.19 kg.m/s² respectively.

Angular momentum can be defined as the rotational form of linear momentum. Angular momentum is a physical conserved quantity.

The angular momentum in the terms of linear momentum can be represented as:

\(\displaystyle \vec L= \vec r\times \vec p = m\vec r \times \vec v\)

Given, the mass of the particle, m = 70 Kg

The displacement of the vector of the particle, \(\vec r = (5.0, -5.5)\)

The velocity of the vector of the particle, \(\vec u = (3.2, 0, -8.1)\)

The angular momentum of the particle, L can be calculated as:

\(\displaystyle \vec L= m\vec r \times \vec u\)

\(\displaystyle \vec L= m(5.0,-5.5, 0)\times (3.1,0,-8.1)\)

\(\displaystyle \vec L= 0.070 \times (44.55, 40.5, 17.05) .Kg.m/s^2\)

\(\displaystyle \vec L= (3.12, 2.84, 1.19) \; kg.m/s^2\)

Therefore, the x-component of angular momentum = 3.12 kg.m/s²

The y-component of angular momentum = 2.84 kg.m/s²

The z-component of angular momentum = 1.19 kg.m/s²

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Answer:

1125m

Explanation:

The car moves with a uniformly accelerated motion for 20s:

s = 1/2·a·t² + v0·t + s0 (note that vo = 0 and s0 = 0, with v0 being the initial velocity and s0 the initial displacement).

So: s = 1/2·a·t²

The acceleration will be: Δv/Δt = 15m/s / 20s = 0.75 m/s²

s1 = 1/2·0.75 m/s² · (20 s)^2 = 150m

Then it continues with the velocity he acquired (v = a·t = 0.75 m/s²·20s = 15 m/s):

s2 = vt = 15m/s·50s = 750m

The final acceleration, when stopping, will be:

a = Δv/Δt = -15m/s / 30s = -1/2 m/s²

s3 = 1/2·(1/2m/s²)·(30s)² = 225m.

Now we sum s1 with s2 and s3:

s1 + s2 + s3 = 150m + 225m + 750m = 1125m

Answer:

V = a t      velocity after time t

t = 33.1 / 9.80 = 3.38 sec   (time ball had been falling)

S = 1/2 a t^2 = 55.9 m

So the ball had been falling  for 7 * 8 = 56 m  

The child was 7 floors from the top

Since he was on the eight floor the floors below him were

7 * 8 + 12 = 68 m     total floors below child

68 + 56 = 124 m      total height of building

Total floors in building = 7 + 7 + 1 = 15 floors

PE at top = KE at bottom

KE = m g h = .125 * 9.80 * 124 = 152 Joules

Based on the diagram, the correct statement is: Government and consumers make economic decisions in a mixed economy, while consumers make economic decisions in a market economy.

In a mixed economy, economic decisions are made by both the government and consumers.

The government plays a significant role in regulating and influencing economic activities through policies, regulations, and interventions.

In market economy, economic decisions are primarily made by consumers. The market forces of supply and demand dictate the allocation of resources, production levels, and pricing.

The freedom to buy and sell whatever they choose is what ultimately determines how commodities and services are produced and distributed.

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Answer:

By using work energy theorem

Intake energy = work out

Intake energy = (number of lifting barbell) x (work done per lifting)

Ei = n x W

Ei = nW

Now

Work per lifting = Force x displacement

W = (mg) x (displacement)

W = (50 x 9.8) x (2)

W = 980 J

Now

Ei = n x W (Ei = 2000 Cal = 2 kilocalory = 8368 Joule)

8368 = n x 980

n = 8.53

Aprrox 8 times he should raise barbell to expend 2000 calory.

Explanation:

Answer:

a)  \(d_g=1.95m\)

b) \(d_g'=2.3m\)

Explanation:

From the question we are told that:

Depth \(d=2.60\)

a)

Generally the equation for distance to ground is mathematically given by

\(\frac{d_g}{d}=\frac{1}{n}\)

Where

\(n=\frac{4}{3}\)

Therefore

\(d_g=\frac{d}{n}\)

\(d_g=\frac{2.6}{4/3}\)

\(d_g=1.95m\)

b)

For when The pool is filled halfway with water

\(\frac{d_g}{d}=\frac{1}{n}\)

\(d_g'=\frac{1.3}{4/3}\)

\(d_g'=0.98m\)

Therefore

\(d_g'=(1.3+0.98)\)

\(d_g'=2.3m\)

A crow flies forward and backward. Its motion is shown on the following graph of horizontal position x vs. time t.

What is the instantaneous velocity of the crow at t = 9 s?

Answer: -0.50 m/s

A crow flies forward and backward. Its motion is shown in the following graph and the instantaneous velocity of the crow at t = 9 s is -0.5 m/s.

From the figure, it shows that from t = 8sec to t = 12 sec the displacement is decreasing, so velocity will be the slope of the straight line.

The velocity is given by:

velocity = -Δx ÷ Δt

velocity = (-2) ÷ (12-8)

velocity = -2 ÷ 4

velocity = -0.5 m/s

Therefore, A crow flies forward and backward. Its motion is shown in the following graph and the instantaneous velocity of the crow at t = 9 s is -0.5 m/s.

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The front of the truck is designed to crumple during a collision to absorb the impact energy, slow down the collision, and protect the well-being of the passengers. This design feature helps increase the collision time, reduce the forces acting on the passengers, and minimize the risk of severe injuries.

Danica observes a collision between two vehicles. She sees a large truck driving down the road. It strikes a small car parked at the side of the road. On colliding, the truck applies a force on the stationary car, and the stationary car applies an opposite force on the truck. The front of the truck is designed to crumple in order to absorb the impact energy and slow down the collision , which protects the well-being of the passengers.

During a collision, the principle of Newton's third law of motion comes into play. According to this law, for every action, there is an equal and opposite reaction. In the case of the collision between the truck and the car, the truck exerts a force on the car, pushing it forward, while simultaneously experiencing an equal and opposite force from the car.

The purpose of designing the front of the truck to crumple is to increase the collision time and absorb the kinetic energy. When the truck collides with the stationary car, the front of the truck deforms, crumples, and absorbs a significant amount of the impact energy. This process increases the time over which the collision occurs, reducing the forces acting on the passengers and minimizing the risk of severe injuries.

By allowing the truck to crumple, the kinetic energy of the collision is transformed into other forms, such as deformation energy and heat. This energy transformation helps protect the passengers by reducing the deceleration forces acting on them. It also helps prevent the transfer of excessive forces to the car's occupants and reduces the likelihood of severe injuries.

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The wave's wavelength is 2 metres.

1/ denotes the number of waves in a wave train that can be found in a length of one metre when wavelength is stated in metres, or the number in wavelength is stated in centimetres, then the length is one centimetre. This value is referred to as the spectrum line's wavenumber. The frequency equation is written as f = /, where is the wave speed and is the wavelength of the wave.

If the total distance between four consecutive crests of a wave is 6 meters, then the wavelength of the wave is equal to that distance divided by the number of crests, which is three.

So the wavelength of the wave is:

6 meters / 3 = 2 meters

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Answer:

1) solvent

2) liquid-solid

3) gas - gas

Explanation:

1) A solution is the homogenous mixture of two or more substances in such a way that its components are uniformly distributed. In any solution, the solvent make up the greatest quantity or volume while the solute is of lesser quantity.

2) liquid-solid is the most common type of solution.

3) A gas solution can be a gas dissolved in a gas, or a liquid dissolved in a gas, or a solid dissolved in a gas.  Air is a gas - gas solution, it is composed of oxygen and other dissolved gases in nitrogen

Answer:

B, A, B

Explanation:

had this USA test prep

Therefore, the magnetic force on an electron is 1.175 x 10⁻¹⁴N in the positive y-direction.

The force experienced by a moving charge in a magnetic field is given by the Lorentz force law. Since the charge on a proton is positive and that on an electron is negative, the direction of the magnetic force experienced by each is different.In this question, we need to find the magnitude and direction of the magnetic force on a proton and an electron as they travel from the Sun to the Earth.

Let's first calculate the magnetic force on a proton:

F = qvBsinθ

where q = charge of the particle

v = velocity of the particle

B = magnetic field strength

θ = angle between the velocity of the particle and the magnetic field = 90° (since the proton is moving perpendicular to the magnetic field)

Therefore,

F = qvBsinθ

= (1.6 x 10⁻¹⁹) x (3.99 x 10⁵) x (2.93 x 10⁻⁸) x sin 90°

= 1.175 x 10⁻¹⁴ N

Direction of magnetic force on a proton:The direction of the magnetic force on a proton can be found using the right-hand rule. According to this rule, if we point the thumb of our right hand in the direction of the particle's velocity (in the positive x-direction) and the fingers in the direction of the magnetic field (in the positive z-direction), then the magnetic force will be perpendicular to both and will be in the negative y-direction.

Therefore, the magnetic force on a proton is 1.175 x 10^-14 N in the negative y-direction.

- Now, let's calculate the magnetic force on an electron:

Again using the Lorentz force law,

F = qvBsinθ

= (1.6 x 10⁻¹⁹) x (3.99 x 10⁵) x (2.93 x 10⁻⁸) x sin 90°

= -1.175 x 10⁻¹⁴ N (the negative sign indicates that the direction of the magnetic force is opposite to that of the proton)

Direction of magnetic force on an electron:Again using the right-hand rule, we can find the direction of the magnetic force on an electron. If we point the thumb of our right hand in the direction of the particle's velocity (in the positive x-direction) and the fingers in the direction of the magnetic field (in the positive z-direction), then the magnetic force will be perpendicular to both and will be in the positive y-direction.

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The phenomenon that occurs when one wave overlaps and combines with another is Interference.

Wave optics is the branch of physics which deals with the study of optical phenomena like polarization, refraction, diffraction, interference, etc. Study of waves and wave characteristics.

Here,

Interference is the phenomenon of combining of waves when two or more waves superpose or overlaps to form a resultant which can have a higher, lower or the same amplitude as the combining waves.

Hence,

The phenomenon occurs when one wave overlaps and combines with another is Interference.

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The traffic cop needs 23.3 seconds to pass the automobile.

When your velocity (not speed) changes, you are accelerating. A automobile moving at a steady 100 km/h in a straight line has no acceleration. Average acceleration is equal to (change in velocity) / (duration). The car's acceleration is zero because its change in velocity is also zero.

\(d1 = v1*t1 = 35.0 m/s * 1 s = 35.0 m\)

\(d = d1 = 35.0 m\)

\(d2 = v2*t + (1/2)at^2\)

\(d2 = (1/2)at^2\)

\(v2*t + (1/2)at^2 = (1/2)at^2\)

\(v2*t = (1/2)at^2\)

Solving for t, we get:

\(t = (2v2/a) = (235.0 m/s)/3.0 m/s^2 = 23.3 s\) (rounded to 2 decimal places)

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Energy is that which has the ability to cause change in matter.

Energy is the quantitative property that is transferred to a body or to a physical system, recognizable in the performance of work and in the form of heat and light. Energy is a conserved quantity—the law of conservation of energy states that energy can be converted in form, but not created or destroyed.

So in simple definition we can say that energy is that which has the ability to cause change in matter.

Based on the given statements we can classify them as;

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Answer:

https://www.ux1.eiu.edu/~cfadd/1350/Hmwk/Ch08/Ch8.html

Explanation:

(a)  The work done by the force of gravity from A to B is 4.41 Joules.

(b)  The work done by the force of gravity from B to C is zero.

(c) The work done by the force of gravity from A to C is 4.41 Joules.

a) To calculate the work done by the force of gravity from A to B, we need to consider the change in potential energy. The potential energy at point A is maximum due to the maximum angle of 35.0∘ to the left of vertical, while at point B, the string is vertical, and the potential energy is zero.

The change in potential energy (ΔPE) is given by:

ΔPE = m * g * h

where m is the mass of the sphere (0.500 kg), g is the acceleration due to gravity (9.8 m/s^2), and h is the change in height.

Since the potential energy at point A is maximum, the change in height is equal to the length of the string (0.900 m).

ΔPE = 0.500 kg * 9.8 m/s^2 * 0.900 m = 4.41 J

Therefore, the work done by the force of gravity from A to B is 4.41 Joules.

b) From B to C, the change in height is zero since the string is already vertical. Hence, the work done by the force of gravity from B to C is zero.

c) The total work done by the force of gravity from A to C is the sum of the work done from A to B and from B to C.

Total work = Work from A to B + Work from B to C = 4.41 J + 0 J = 4.41 J

Therefore, the work done by the force of gravity from A to C is 4.41 Joules.

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I think it is the question:

A Pendulum Is Made Up Of A Small Sphere Of Mass 0.500 Kg Attached To A String Of Length 0.900 M. The Sphere Is Swinging Back And Forth Between Point A, Where The String Is At The Maximum Angle Of 35.0∘ To The Left Of Vertical, And Point C, Where The String Is At The Maximum Angle Of 35.0∘ To The Right Of Vertical. The String Is Vertical When The Sphere Is At

A pendulum is made up of a small sphere of mass 0.500 kg attached to a string of length 0.900 m. The sphere is swinging back and forth between point A, where the string is at the maximum angle of 35.0∘ to the left of vertical, and point C, where the string is at the maximum angle of 35.0∘ to the right of vertical. The string is vertical when the sphere is at point B.

a) Calculate how much work the force of gravity does on the sphere from A to B.

b) Calculate how much work the force of gravity does on the sphere from B to C.

c) Calculate how much work the force of gravity does on the sphere from A to C.

Answer:

Explanation:

angular velocity ω = 2π / T where T is time period of rotation .

= 2 x 3.14 / .34 = 18.47 rad /s

Total mechanical energy = 1/2 m ω²Α² where A is amplitude .

spring constant = k

\(\omega=\sqrt{\frac{k}{m} }\)  

m is mass

\(\omega^2=\frac{k}{m} }\)

18.47² = k / .3

k = 102.34 N /m

b )

energy = 1/2 m ω²Α²

3 = .5 x 18.47² x A²

A² = .01759

A = .1326

13.26 cm .

c )

If energy becomes 5 J

5 = .5 x 18.47² x A²

A² = .0293

A = .1711

= 17.11 cm

percent increase

= (17.11 - 13.26 )x100 / 13.26

= 29%

a) The amplitude is 0.143 m

b) The modulus of the maximum velocity is 2.79 m/s

c). The position when the speed is 1.5 m/s = -0.061 m

d) The modulus of the maximum acceleration= 6.99 m/s^2.

(a) To find the amplitude A, we can rearrange the formula for mechanical energy:

A = √(2E/k)

= √(2*0.2/46)

= 0.143 m.

(b) The modulus of the maximum velocity is achieved when the block passes through the equilibrium position (i.e., x=0) and is given by vmax = √(k/m) * A

= √(46/0.117) * 0.143

= 2.79 m/s.

(c) To find the position when the speed is 1.5 m/s, we can use the velocity formula and solve for x:

1.5 = √(k/m) * √(A^2 - x^2)

1.5^2 = k/m * (A^2 - x^2)

x^2 = A^2 - (m/k) * (1.5^2)

x = +/- √(A^2 - (m/k) * (1.5^2))

Since the block is moving to the left when the speed is 1.5 m/s, we take the negative root:

x = -√(0.143^2 - (0.117/46) * (1.5^2))

= -0.061 m.

(d) The modulus of the maximum acceleration is achieved when the block is at the equilibrium position (i.e., x=0) and is given by amax = w^2 * A = sqrt(k/m) * A

= √(46/0.117) * 0.143

= 6.99 m/s^2.

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Gender inequality in mechanical engineering can manifest through biased hiring practices, limited opportunities for women to advance to leadership roles, and a lack of representation in the industry.

Despite efforts to promote gender equality, women are still underrepresented in the field of mechanical engineering. This can be due to a variety of factors, including biased hiring practices, limited opportunities for career advancement, and a lack of representation in the industry.

To address these issues, it is important for companies and organizations to promote diversity and inclusion initiatives, such as actively recruiting women and people of diverse backgrounds, providing mentorship and networking opportunities, and advocating for policies that support work-life balance and equal pay. By creating a more inclusive environment, the field of mechanical engineering can attract and retain more talented individuals and foster innovation and growth.

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--The complete question is, How does gender inequality manifest in the field of mechanical engineering, and what are some potential solutions to address this issue?--

The star of a cross-country team is Ken Runfast. Ken recently ran for 12.4 minutes at an average speed of 5 m/s. After then, Ken's average speed was 6.1.

Distance is the overall movement of an item with consideration of direction. Regardless of an object's starting or ending position, distance can be defined as the amount of ground it has covered.

We can determine an object's actual size by learning how far away it is. The area an object occupies in the sky can be measured. The distance from it must then be determined in order to determine its true size. An thing appears smaller the further it is away.

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Answer:

there round that's one thing

Answer:

large size, number of moons, lack solid surfaces and none are capable of supporting life.

Explanation:

Answer:

it will move in 356.5g in diagonal direction(resultant or between the both direction)

Explanation:

285+428/2=356.5g

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Carl Rogers, along with Abraham Maslowsignificantly contributed to the humanistic psychology movement through his development of the person-centered approach and his emphasis on the individual's subjective experience and potential for personal growth.

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Answer:

The equation says that due to variation in temperature is

delt T = .59 m/s / C = 16 C * .59 m/s = 9.44 m/s

So v = 332 m/s + 9.44 m/s = 341 m/s (to three significant figures)

Sound waves are a type of mechanical wave that propagate through a medium, typically air but also other materials such as water or solids.

Frequency: the frequency of a sound wave refers to the number of cycles or vibrations it completes per second and is measured in Hertz (Hz).

Amplitude: the amplitude of a sound wave refers to the maximum displacement or intensity of the wave from its equilibrium position. It represents the loudness or volume of the sound, with larger amplitudes corresponding to louder sounds and smaller amplitudes corresponding to softer sounds.

Wavelength: the wavelength of a sound wave is the distance between two consecutive points in the wave that are in phase, such as from one peak to the next or one trough to the next. It is inversely related to the frequency of the wave.

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It is not good to site a nuclear power plant in a densely populated areas as well as an area that has a high proximity to public infrastructure.

A nuclear plant is one of the proposed solution to the issue of power generation because of the capacity of the plants to generate electricity. Usually, a single nuclear plant could contribute to serve for many years using the same nuclear fuel.

Now, in the case whereby we want to site a new nuclear plant, we have to consider the population density of the area as well as the proximity of the plant to the regions whereby people live.

We know that it is not good to site a nuclear power plant in a densely populated areas as well as an area that has a high proximity to public infrastructure.

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Answer:

Explanation:

Speed of sound = 331 m /s

speed of jet = 7 .00 Mach = 7 times speed of sound

= 7 x 331 = 2317 m /s

distance to be covered = 5000 x 1000 = 5 x 10⁶ m

Time taken = distance / speed of jet

= 5 x 10⁶ / 2317

= 2.158 x 10³ s

= 35.96 minutes .

Answer: Hypothesis

Explanation:

For each experiment involving nanotechnology, Gerry  and Lena will test a hypothesis.

Gerry and Lana will use the Scientific method for their nanotechnology research and a key stage in the scientific method is to come up with a Hypothesis.

A hypothesis gives a researcher direction because it is a theory that they formulate that is meant to explain the phenomenon that they are researching.

They will then test this theory to either disprove or approve it and in so doing will be able to come up with conclusions to the research. Gerry and Lana will therefore have to test a hypothesis for each experiment in order to continue with their research.