A commuter backs her car out of her garage with an acceleration of 1.66m/s2.

a) How long does it take her to reach a speed of 2.28m/s?

b) If she then brakes to a stop in 0.86s, what is her acceleration?

Answers

Answer 1

The time taken by her to reach a speed of 2.28m/s is 1.37 s whereas, the acceleration on break to stop in 0.86s is 4.47 m/s².

Equation :

( a ) To find the time we use the formula,

a = Δv / Δt

where,

a is acceleration,

Δv is change in speed

Δt is time

So with this putting the given value,

We have,

1.66m/s² =  2.28m/s / Δt

Δt = 2.28m/s / 1.66m/s²

Δt = 1.37 s

( b ) Again using same formula for acceleration

a = Δv / Δt

So,

a =  2.28m/s / 1.37 - 0.86s

a =   2.28m/s / 0.51 s

a = 4.47 m/s²

What is acceleration and velocity?

The rate of change of displacement is known as velocity. The rate at which velocity changes is called acceleration. Due to the fact that it includes both magnitude and direction, velocity is a vector quantity. As the rate at which velocity changes, acceleration is also a vector quantity.

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Answer 2

(a)The time has taken by a commuter to reach a speed of 2.28m/s is (t)= 1.37 s. (b) If she then brakes to a stop in 0.86s,Theamount of acceleration is (a)=   2.65 m/s².

What is acceleration and velocity?

The term velocity defines that how much distance a particle covered in a given time. The term acceleration defines that change in velocity in a particular time.

How can we calculate the value of acceleration and velocity?

( a ) To calculate the time we use the formula, v=u+at

As the particle start from rest so, u= initial velocity would be zero.

The equation becomes, v=at

t=v/a

where, we are given

a= acceleration  of the car =1.66m/s²,

v= speed of the car= 2.28m/s

We have to calculate the time=t

So now we put the given value in the above equation, We have,

t=v/a

Or, t = 2.28m/s / 1.66m/s²

Or, t = 1.37 s

According to the calculation we can say that, The time has taken by a commuter to reach a speed of 2.28m/s is (t)= 1.37 s

( b ) To calculate the acceleration we use the formula, v=u+at

As the particle start from rest so, u= initial velocity would be zero.

The equation becomes, v=at

a=v/t

where, we are given

v= speed of the car= 2.28m/s

t= The time take to break=0.86 s

We have to calculate the acceleration=a

So now we put the given value in the above equation, We have,

a=v/t

Or, a =  2.28 /0.86

Or, a = 2.65 m/s²

According to the calculation we can say that, If she then brakes to a stop in 0.86s,Theamount of acceleration is (a)=  2.65 m/s²

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Related Questions

A car moving from rest come in motion after 30 sec and again goes in rest for 0.2 second after some time the acceleration of the car goes to 5m/s^2 find the speed of the car​

Answers

The final velocity of the car starting from rest with an acceleration of 5 u for 30 seconds is 150 m/s.

What are Newton's law of motion?

Newton gave three laws of motion which can be utilized to find the velocity, acceleration and displacement of a body. These law are only applicable for constant acceleration.

What is acceleration?

Acceleration is the physical quantity which represents change in velocity per unit time.

In simpler words it can be said as the increment or decrement in the velocity per second.

Given:

Total time taken 30 seconds

Acceleration of the car = 5 u

Initial velocity of the car = 0m/s

Here we have to find the velocity of the car after 30 seconds.

We already know all the basic values that are used for finding the value of final velocity.

Using Newton's first law of motion we have:

v = u + a × t

Where,

v is the final velocity of the car

u is the initial velocity of the car

a is the acceleration of the car

t is the total time taken to complete the displacement.

Substituting given values in Newton's first law of motion we get

Final velocity = 0 + 5 × 30

Final velocity = 0 + 150

Final velocity = 150 m/s

Therefore, the final velocity of the car starting from rest with an acceleration of 5 u for 30 seconds is 150 m/s

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if a car starts from rest and moves with a uniform acceleration of 10m/s² for ten seconds, the distance covered in the last one second of motion is​

Answers

Answer:

free pints for the doctor so don't provide it

How could you determine whether your spaceship is at rest or moving at constant velocity?

Answers

You cannot determine at all if the spacecraft's velocity is constant.

According to Einstein's theory of relativity, there is no experiment that could possibly provide the information you need to determine this.

More than that, it's not even a meaningful statement. There is equality among all inertial coordinate frames. Therefore, it is pointless to even inquire as to whether you are going at a constant speed. Even if you can see the Earth beneath you and that you are not moving relatively to it, by looking out the window, you cannot determine whether the Earth itself is moving.

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A useful tactic for increasing capacity is to redesign a product in order to facilitate more throughput.
a. true
b. false

Answers

The given statement is true.

The design of the product should be changed in order to increase the capacity of product. Incorporating ideas like modular designs can make the process more efficient.

Modular design enables the customization, repurposing, upgrading, or maintenance of product designs. Furthermore, the modular product’s various components adhere to a common interface to seamlessly assemble into the final product. Numerous consumer goods, including automobiles, smartphones, laptops, and televisions, frequently feature modular design. Large websites, software engineering, and software product design are some further instances of modular design.

Modular designed products are easy to customize according to the needs of the customers, which eventually increase the sales and production.

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Which statements are real-world applications of life science? Check all that apply.

Answers

The statements that apply to life sciences are;

Farmers study plant growth and are able to grow more fruits and vegetables.Doctors can determine what is wrong with a patient and prescribe the right medicine.Scientists can track animal movements and predict where they might be feedingDentists recommend you brush and floss daily because bacteria cause tooth decay

What is life science?

Life science has to do with the study of living things. This is the area of study that we call biology. It is a discipline that has many facets and we always seek to understand living things and how they relate with their environment as well as other living things.

The following are the statements that apply to the life sciences;

Farmers study plant growth and are able to grow more fruits and vegetables.Doctors can determine what is wrong with a patient and prescribe the right medicine.Scientists can track animal movements and predict where they might be feedingDentists recommend you brush and floss daily because bacteria cause tooth decay

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Missing parts;

Which statements are real-world applications of life science? Check all that apply.

Farmers study plant growth and are able to grow more fruits and vegetables.

Doctors can determine what is wrong with a patient and prescribe the right medicine.

Scientists study weather patterns to provide information about future weather

Scientists can track animal movements and predict where they might be feeding

Dentists recommend you brush and floss daily because bacteria cause tooth decay

Answer: A, B, D, E

Explanation:

A. Farmers study plant growth and are able to grow more fruits and vegetables.

B. Doctors can determine what is wrong with a patient and prescribe the right medicine.

D. Scientists can track animal movements and predict where they might be feeding.

E. Dentists recommend you brush and floss daily because bacteria cause tooth decay.

What is the reactance of an inductor with an inductance of 3.10 h at a frequency of 81.0 hz ?

Answers

The inductive reactance is 1578.34 Ω.

We need to know about inductive reactance to solve this problem. The inductive reactance is the internal resistance in the inductor caused by changing current. It can be described as

XL = ω . L

where XL is inductive reactance, ω is angular speed and L is inductance.

The angular speed can be determined by

ω = 2π . f

where f is frequency.

From the question above, we know that

f = 81 Hz

L = 3.1

By substituting the given parameters, we get

XL = ω . L

XL = 2π . f . L

XL = 2π . 81 . 3.1

XL = 1578.34 Ω

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F = (-5.2,2.3), where all components are in newtons. if a vector's direction is measured counterclockwise from the positive x-axis, what angle (in degrees from 0-360) does f make?

Answers

F = (-5.2,2.3), where all components are in newtons. if a vector's direction is measured counterclockwise from the positive x-axis the angle (in degrees from 0-360) does f make 90.41.

A vector specifies the magnitude and direction of the quantity it is related to. Acceleration is the result of a velocity vector that changes over time. A body can be rotated by two or more forces, but the results of the rotation will vary.

A unit vector is defined as a vector with a specific direction and a magnitude of one unit.

F cosθ= -5.2,

F sinθ= 2.3

Please be aware that because the x component is negative, vector F lies in the second quadrant (plot points of F in graph to check)

thus, tanθ = 2.3/5.2

[tex]\theta= tan^{-1} (2.3/5.2)[/tex]

θ=0.41

Angle with positive y=axis=90-0.41

=89.59

and angle with positive x-axis=90+(90-theta)

=90+(90-89.59)

=90.41

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On how many days of the year is the sun directly overhead in tuscaloosa, alabama? remember, the sun is directly overhead only when the angle of incidence is 90 degrees.

Answers

Technically the answer would be 0 days. That means the for 0 days of the year the sun is directly overhead in Tuscaloosa, Alabama.

Reasoning

This is because only in the regions between the tropics of cancer and Capricorn can the sun be directly overhead. This is just the locations within 23.5 degree north 923.5 degrees South latitude.

Along with the fact that Tuscaloosa, Alabama is located at 33.20 degrees north latitude. Hence, the sun will never be directly overhead in Tuscaloosa throughout the year.

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If a proton is moved from point 1 to point 2, how will the potential energy of the charge-field system change? how will the potential change?

Answers

The potential energy of the charge-field system change is decreases

As a proton is a positively charged particle, it experiences the force against the electric field, directed from point 2 to 1 , which is constant, given by,

F = e×E,  right to left. When a proton is moved in such a way from point 1 to point 2, work done is against the force & the potential energy increases U = F×d = e×E×d.

But an electron is negatively charged, with the same value, so that force experienced is along the field. Thus work is done by the field itself & potential energy decreases. It is similar to a body which falls under gravity.

Hence the option decreases/ decreases is correct.

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a mountain goat starts a rock slide and the rocks crash down the slope 100 m. If the rocks reach the bottom in 5 s, what is their acceleration?

Answers

If a mountain goat starts a rock slide and the rocks crash down the slope 100 m. If the rocks reach the bottom in 5 s, then the acceleration of the rock would be 8 meters/second².

What is acceleration?

The rate of change of the velocity with respect to time is known as the acceleration of the object.

As given in the problem a mountain goat starts a rock slide and the rocks crash down the slope 100 m. If the rocks reach the bottom in 5 s,

initial velocity of rock = 0 m/s

displacement = 100 meters

time = 5 seconds

s = ut + 0.5at²

100 = 0 + 12.5a

a = 100/12.5

  = 8 meters/second²

Thus, the acceleration of the rock would be 8 meters/second².

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If the electric forces of repulsion between two 1.0 c charges have magnitude 10 n, how far apart are they?

Answers

They are far apart r=1.52×10−14m

Explanation:

For the force due to electromagnetism we use Coulomb’s inverse square law:

F=[tex]K_{e}[/tex] [tex]\frac{q1 q2}{r^{2} }[/tex]

(where  F  is the electrostatic force,  q1  &  q2  are the two charges,  r  is the distance between them, and Coulomb’s Constant  

ke = 1/4πϵ0 =8.99×109 Nm2[tex]C^{-2}[/tex],

where  ϵ0  is the permittivity of free space

r = [tex]\sqrt[2]{k_{e}\frac{q1 q2}{F} }[/tex]

r= [tex]\sqrt{8.99*10^{9}Nm^{2} C^{-2}\frac{-1.60*10^{-19}*-1.60*10^{-19} }{1.0N} } }[/tex]

r = 1.52×10−14m

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What is the value of inte after the following statements are executed? dim intc as integer dim intd as integer dim inte as integer intc = 20 intd = 3 inte = intc / intd

Answers

The value of intE after the following statements are executed  is calculated as 6

Simplification :

IntE = intC /IntD

IntE = [tex]\frac{20}{3} = 6.66[/tex]

IntE = 6.6

What does one mean about programming?

Programming is that the process of creating a set of instructions that tell a computer how to perform a task. Programming are often done using a variety of computer programming languages, like JavaScript, Python, and C++

What is the main purpose of programming?

The purpose of programming is to find a sequence of instructions that will automate the performance of a task (which can be as complex as an operating system) on a computer, often for solving a given problem.

Why is it important to review programming?

Learning to code not only allows you to offer machines instructions, but it also teaches you abstract thinking and problem-solving. In fact, problem-solving skills and creativity are key to becoming a successful programmer . Of course, you'll also have to know some coding languages to apply your knowledge

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A systems administrator needs to install a new wireless network for authenticated guest access. the wireless network should support 802.1x using the most secure encryption and protocol available

Answers

For enrolling authentication servers with server certificates for use with 802.1X authentication, you have two options: construct your own public key infrastructure using Active Directory Certificate Services (AD CS) or utilize server certificates enrolled by a public certification authority (CA).

The Active Directory Certificate Services (AD CS) server is a Windows server that is used to issue digital certificates. Certificates have been shown to be more secure and user-friendly than passwords. Microsoft recognized this and deployed AD CS to assist Microsoft environments in reaping the benefits of certificates. A client computer, on the other hand, trusts a CA when the CA certificate is loaded in the Trusted Root Certification Authorities certificate store. Multiple public CA certificates are installed by default in the Trusted Root Certification Authorities certificate store on Windows systems.

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What is magnetism?????

Answers

Answer: a physical phenomenon produced by the motion of electric charge, resulting in attractive and repulsive forces between objects.

Explanation: Magnetism is the force exerted by magnets when they attract or repel each other. Magnetism is caused by the motion of electric charges. Every substance is made up of tiny units called atoms.

Calculate the change in the enthalpy of argon, in kj/kg, when it is cooled from 100 to 25oc. if neon had undergone this same change of temperature, would its enthalpy change have been any different?

Answers

The change in the enthalpy of argon Almost doubles

Explanation:

Argon

Cp = Specific heat at constant volume = 0.520 kJ/kgK

T₁ = Initial temperature = 75°C

T₂ = Final temperature = 35°C

Enthalpy,

Δh = CpΔT

⇒Δh = Cp(T₂-T₁)

⇒Δh = 0.520×(35-75)

⇒Δh = -20.8 kJ/kg

Neon

Cp = Specific heat at constant volume = 1.03 kJ/kgK

T₁ = Initial temperature = 75°C

T₂ = Final temperature = 35°C

Δh = Cp(T₂-T₁)

⇒Δh = 1.03×(35-75)

⇒Δh = -41.2 kJ/kg

Enthalpy will change because the Cp value is different.

Enthalpy almost doubles.

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A mass-spring system oscillates with an amplitude of 5.30 cm. if the spring constant is 246 n/m and the mass is 583 g, determine the mechanical energy of the system.

Answers

The energy that an object possesses as a result of its motion or position is known as mechanical energy.

What is mechanical energy?

Mechanical energy is the energy that an object holds as a result of its motion or position. Potential energy and kinetic energy are two different kinds of mechanical energy (stored energy of position). In the physical sciences, mechanical energy is the sum of kinetic and potential energy. Mechanical energy is constant in an isolated system when only conservative forces are at work on it, according to the mechanical energy conservation principle.

A mass-spring system is, to put it simply, a spring system with a block suspended from or affixed to the spring's free end. Typically, the period of any harmonically moving object may be calculated using the spring-mass system.

The mechanical energy is equal to the potential energy of the spring at the maximum displacement (since v=0 at this point).

[tex]E = (1/2)kA^{2} = (1/2)(246N/m)(5.30 m)^{2}[/tex]

 =3455.04j

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How might the emergence of millions of cicadas at once benefit the cicadas?

Answers

The emergence of millions of cicadas  benefits.

Cicadas are a source of food. Cicadas are consumed by a large number of people worldwide, not just "on a dare," but also as a delicacy or staple meal. For instance, cicadas have been on Bizarre Foods with Andrew Zimmern more than once. Native Americans consumed cicadas as well, and in at least one instance, doing so helped a group survive difficult times. Insectivore gourmets should, however, rely on readily cultivatable insects like crickets, waxworms, and mealworms as cicadas are typically not a sustainable food supply.Cicadas serve as a source of inspiration for musicians and artists. Numerous songs have been influenced by cicadas, and there are albums and bands named after them.

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Silver ants can run at 50 cm sec . if a super silver ant was capable at running at a constant speed from san diego to new york city (2,760 mi), how many days would it take?

Answers

The silver ant at a constant speed of 50 cm/s to run from san diego to new york city it would take: 102.789 days

The formula and procedure we will use to solve this exercise is:

t = x/v

Where:

x = distancet = timev = velocity

Information about the problem:

v =50 cm/sx=2,760 mit = ?

By converting the velocity units from (cm/s) to (mi/s) we have:

v =50 cm/s * 1 mile/160,900 cm

v = 3.1075 *10^-4 mi/s

Applying the time formula we have that:

t = x/v

t = 2,760 mi / 3.1075 *10^-4 mi/s

t = 8.881 *10 ^6 s

By converting the time units from (s) to (days) we have:

t = 8.881 *10 ^6 s * 1 h/3600 s * 1 day/24 h

t= 102.789 days

What is velocity?

It is a physical quantity that indicates the displacement of a mobile per unit of time, it is expressed in units of distance per time, for example (miles/h, km/h).

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Two airplanes leave an airport at the same time. The velocity of the first airplane is 650 m/h at a heading of 16.9 ◦ . The velocity of the second is 590 m/h at a heading of 161◦ . How far apart are they after 1.8 h? Answer in units of m.

Answers

Distance of train after 1.8 h is 485.099 m

Distance is a measurement of how far apart two things or points are, either numerically or occasionally qualitatively. Distance can refer to a physical length in physics or to an estimate based on other factors in ordinary language.

Distance of the first plane = 650 x 1.8 = 1170 m

Distance of the second plane = 590 x 1.8 = 1062m

The angle between 2 planes

161◦ - 16.9◦ = 144.1°

Using the law of cosine

d^2 = (1170)^2 + (1062)^2 - 2*1170*1062*cos 144.1°

d = 485.099 m

Hence, distance of train after 1.8 h is 485.099 m

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What is a Ice pack on a injury?
Conduction Convection Radiation

Answers

Conduction is the process by which ice packs transfer heat when put on an injury.

Both gel packs and ice packs mostly absorb heat by conduction, or by coming into close touch with the treatment region.

By producing vasoconstriction, which lowers blood flow to the damaged spot, ice minimizes edema, bleeding, and inflammation. By inhibiting pain receptors and nerve transmission, ice immediately reduces pain and muscular spasm.

Direct contact between the items is how heat is transferred during conduction. Convection is the process through which heat is moved within the fluid. Heat transmission in radiation happens by electromagnetic waves without the need of particles. The temperature differential causes the heat transfer to occur.

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what is least count error​

Answers

Answer: The least count error is the error associated with the resolution of the instrument. A metre ruler may have graduations at 1 mm division scale spacing or interval. A Vernier scale on a caliper may have a least count of 0.1 mm while a micrometer may have a least count of 0.01 mm or 10 microns.

Explanation:

The least count of an instrument is the smallest measurement that can be taken accurately with it.

For example, if an ammeter has 5 divisions between the marks 0 and 1A, then its least count is 1/5 = 0.2 A or it can measure current up to the value 0.2 accurately.

A ball is thrown upward from the ground with an initial speed of 23.4 m/s; at the same instant, another ball is dropped from a building 20 m high. after how long will the balls be at the same height?

Answers

After 0.85s, the ball would be at the same height.

Calculation

A ball is thrown upward from the ground with an initial speed of 23.4 m/s; at the same instant, another ball is dropped from a building 20 m high....  

We know that from the equation of motion,

h = u t + 1/2 at^2

So h = height, u is initial velocity and t is time, a is acceleration  

Now for the ball thrown upwards  

h = 23.4 t – 1/2 gt^2

23.4 t – h = 1/2 gt^2

Now for the ball dropped downwards

20– h = 1/2 gt^2

Comparing both the equations we get

23.4t – h = 20 – h

23.4 t = 20

So t = 20/23.4

Or t = 0.85 secs

The balls will be at same height when t = 0.85 s

Motion under gravity

Gravity causes a body to descend faster, and as it does, the air resistance that slows it down rises.

This keeps happening until the weight of the object and the force of air resistance are equal. The terminal velocity is the pace at which the item now falls instead of accelerating any longer.

What do you mean by motion in a gravitational field?

When any object moves, it is said to be in motion under gravity. This is because gravity has an impact on the object’s vertical motion.

Gravity is the force that pulls things downward. In actuality, gravity pulls objects toward the Earth’s center.

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A solution is prepared by dissolving 10.2 g of glucose (c6h12o6) in 405 g of water. the final volume of the solution is 414 ml. find the concentration of the solution in units of molality.

Answers

the concentration of the solution in units of molality is 0.140m

The fact is Molality is defined as moles of solute per kilogram of solvent.

Find the glucose moles first. Consequently, glucose has a molar mass of 180.

10.2 grams of sugar. (180.6 g of glucose per mole) = 0.0566 moles

the grams of water are then converted to kilograms.

405/1000 = 0.405 kilogram

Hence, Molality = 0.0566/0.405 

0.140m

Molality is a measure of the number of moles of solute in a solution corresponding to 1 kg or 1000 g of solvent. This contrasts with the definition of molarity which is based on a specified volume of solution

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If the magnitude of the electric field of an infinite plane of charge at point 10.0 m from the plane e = 100.0 n/c, what is the surface charge density?

Answers

The correct answer to the given question is that the surface charge density σ = 200ε₀C/m².

The electric field due to an infinite uniformly charged insulating sheet at any point in space around it is given by E=σ/2ε₀, provided that the point is not lying on the sheet itself. The quantity of charge per units of a two-dimensional surface area is known as surface charge density. It gauges the amount of electric charge that has collected on a surface. Its symbol is, and the SI system's unit is the Coulombs per square meter, or Cm-2.

Therefore, the surface Charge density= 2 * 100 N/C = 200ε₀C/m².

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Angular momentum is the rotational analog of linear momentum, found by taking the product of moment of inertia and ___________________.

Answers

Angular momentum is the rotational analog of linear momentum, found by taking the product of moment of inertia and The reciprocal of linear acceleration is angular velocity.

The right-hand rule, which uses the thumb to indicate the direction of angular velocity momentum and four fingers to represent the direction of motion, can be used to determine the direction of angular momentum.

Angular momentum is a characteristic that describes an object's rotatory inertia while it is moving about an axis that may or may not pass through it.

Torque is needed in rotational motion to cause an item to accelerate angularly. The distribution of the object's mass affects how much torque is needed to produce an angular acceleration. The value that describes the distribution is called the moment of inertia.

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Wich theorist believed in the collective consciousness

Answers

Answer:

I believe you are talking about Emile Durkheim

Explanation: Fun Fact:

He is most well known as the author of On the Division of Social Labor The Rules of Sociological Method, , and The Elementary Forms of Religious Life

If a student walks 160 m east and 80 m west in 67 s, then what is her average velocity?​

Answers

Answer:

3.58

Explanation:

160 + 80 = 240

240 / 67  = 3.58

The average velocity of the student who walks 160 m east and 80 m west in 67 s is 1.194 m/s.

What is Average velocity?

It is defined as the rate of change of displacement with respect to time.

Mathematically -

v = Δx/Δt

Given is a student who walked 160m east and then 80m west in 67 s.

Assume east direction as + x direction and west direction as - x direction, then →

Displacement 1 = 160 a[x]

Displacement 2 = - 80 a[x]

Displacement = Δx = 160 a[x] + 80 {- a[x]} = 80a[x]      

Time elapsed = Δt = 67 seconds

Where (a[x] is unit vector along x - axis and -a[x] along negative x - axis)

Therefore, the magnitude of average velocity of the student will be -

v = |Δx|/Δt

v = 80/67

v = 1.194 m/s

Therefore, the average velocity of the student who walks 160 m east and 80 m west in 67 s is 1.194 m/s.

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How much charge is enclosed within the octahedron? express your answer with the appropriate units.

Answers

The change in charge in respect to the vacuum permittivity constant is referred to as the electric flow.

In other words, this expression might be represented numerically as

Ф=q/∈[tex]_{0}[/tex]

Here,

∈= Electric Flux

q = Charge

∈0 = Vacuum Permittivity

Replacing with our values and solving to find q, we have,

-1850N.[tex]m^{2}[/tex]/C=[tex]\frac{q}{8.854x10^{-2}C.N^{-1}.m^{-2} }[/tex]

q=-1.63799x[tex]10^{-8} C[/tex]

Therefore the charge is enclose within the octahedron with a charge of

q=-1.63799x  [tex]10^{-8} C[/tex]

The charge of protons is positive (+).

The charge on neutrons is zero.

The charge of an electron is negative.

We just search for the protons and neutrons to determine the charge of an atom.

Two protons and two electrons are given to us.

Charges of +2 and -2 result in 0 charges.

It is a neutral atom, this one.

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Find the work done on a 50 Kg student by the elevator in 2 seconds, if the elevator is :
1) Accelerating upwards from rest at a rate of 2 ms-2
2) Accelerating downwards from rest at a rate of 2 ms-2
3) Decelerating upwards from an initial speed of 4 ms-1 at a rate of 2 ms-2
4) Decelerating downwards from an initial speed of 4 ms-1 at a rate of 2 ms-2
5) Moving upwards at a speed of 2 ms-1
6) Moving downwards at a speed of 2 ms-1
( Let g = 10 ms )

Answers

The 50 kg mass of the student, and the duration of 2 seconds for the motion of the elevator, gives;

1) 2,400J

2) 1,600 J

3) 1,600 J

4) 2,000 J

5) 2,000 J

6) 2,000 J

What is the formula for the work done by a force?

Work done, W = Force × Distance

Mass of the student = 50 kg

Time of motion of the elevator = 2 seconds

Acceleration due to gravity, g = 10 m/s²

1) Direction of motion = Upwards

Initial velocity = 0

Upward acceleration = 2 m/s²

Height climbed, h = 0.5×2×2² = 4

Force of the student, F = m•g

F = 50 × 10 = 500

Apparent weight of student = 500 + 50×2 = 600

Therefore;

W = F × h

Work done = 600 × 4 = 2499

The work done by the elevator = 2400 J

2) When the elevator is accelerating downwards, we have;

Apparent weight = F - m•a

Which gives;

Apparent weight = 500 - 100 = 400

W = 400 × 4 = 1600

Work done by the elevator = 1600 J

3) Initial speed of elevator = 4 m/s

Deceleration = 2 m/s²

Distance, h = 4×2- 0.5×2×2² = 4

Apparent weight = 500 - 100 = 400

Work done = 400 × 4 = 1600

Work done by the elevator = 1600 J

4) Direction of motion = Downwards

Distance, h = 4

Apparent weight = 500 + 100 = 600

Work done by the elevator = 2400 J

5) The distance covered, h, is therefore;

h = 2 × 2 = 4

W = m•g•h

Which gives;

W = 50 × 10 × 4 = 2000

Work done by the elevator = 2000 J

6) Height traveled, h = 4

Work done = 50 × 10 × 4 = 2000

Work done by the elevator = 2000 J

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Can an object experience uniform acceleration and uniform velocity at the same time?

Answers

Answer:

Explanation:

No, If An object is moving in a uniform velocity that means there is no change in velocity(speed) ,The object keeps on moving with the same speed  .No change in speed means that thee is no acceleration encountered by the object. Even the Equations of motions support the statement.

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