A particle moves along the x-axis so that at any time t≥0 its position is given by x(t) = t3 − 3t2 − 9t. For what values of t is the particle at rest?

Answers

Answer 1

At \(t = 3\), the particle will be at rest for the position along the x- axis which has been given as \(v(t) = t^{2} -3t^{2} -9t\).

What do we mean by particle at rest?

You could understand the phrase "A particle at rest tends to stay at rest" to mean that a particle that is not moving relative to some reference objects tends to remain stationary relative to those same things.

The particle is at rest when velocity of the particle is \(0\). From this we know that the velocity is \(v(t) = t^{2} -3t^{2} -9t\)

Therefore the velocity is \(0\) when \(t\) is

\(t^{3} -3t^{2} -9t = 0\)

\(t( t^{2} -3t -9)\) \(= 0\)

\(( t^{2} -3t -9) = 0\)

\(t^{2} -3t -3t -9 = 0\)

\(t(t -3)-3(t -3) = 0\)

\(t = 3\)

Hence, At \(t = 3\), the particle will be at rest.

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Related Questions

a meterstick with a uniformly distributed mass of 0.5 kg is supported by a pivot placed at the 0.25 m mark from the left, as shown. at the left end, a small object of mass 1.0 kg is placed at the zero mark, and a second small object of mass 0.5 kg is placed at the 0.5 m mark. the meterstick is supported so that it remains horizontal, and then it is released from rest. one second after it is released, what is the change in the angular momentum of the meterstick? responses 0

Answers

Answer:

The answer is 0 kg..

The full answer choices are:  

A)0 kg

B)500 kg⋅m2/s

C)1000 kg⋅m2/s

D)The change in angular momentum of the meterstick cannot be determined from this information.

Explanation:

The force applied from the 1.0kg object which is equal to 10N, gives a torque equal to τ=Fdsinθ=(10 N)(0.25m)sin90°=2.5Nm. This torque is exerted so that it would cause a counterclockwise rotation. The force of gravity exerted on the rod itself is equal to the weight of the rod, and causes a torque equal to τ=Fdsinθ=(5 N)(0.25m)sin90°=1.25Nm, and will cause a clockwise rotation. The 0.5kg object also exerts a torque on the rod equal to τ=Fdsinθ=(5 N)(0.25m)sin90°=1.25Nm, also in a clockwise direction. The net torque then on the rod is equal to zero. The rod will not rotate when released, and its angular momentum will not change.

Basically, when you do the math for angular momentum which is equal to the net torque exerted on the meterstick, you can see that there is no change. For the force, just approximate 9.8 to 10 to make it easier. Also It's Sin90 because it's perpendicular. Sin90 = 1

B) The change in the angular momentum of the meterstick is 480 kg m2/ s.

The center of mass of the system can be set up as

xcm = (0.25 m)(0.5 kg)( 0 m)(1.0 kg)(0.5 m)(0.5 kg)/(0.5 kg1.0 kg0.5 kg)

= 0.25 m

The moment of  inertia of the meterstick- object system about its center of mass can be calculated as

Icm = (1/12) mL2

where L is the length of the meterstick.

Substituting the given values,

we get Icm = (1/12)(0.5 kg)(1.0 m) 2 = 0.042 kg m2

The distance of the center of mass from the pivot point is

d = 0.25 m The total mass of the system is

m = 0.5 kg1.0 kg0.5 kg = 2.0 kg

The total moment of  inertia of the meterstick- object system about the pivot point is

I =  Icm md2 = 0.042 kg m2(2.0 kg)(0.25 m) 2 = 0.192 kg m2

The angular haste of the system after one second can be set up using the principle of conservation of energy1/2) I ω2 =  mgh

where h is the height of the center of mass of the system above the pivot point.

The original height of the center of mass of the system is

h = (0.25 m)(0.5 kg)( 0 m)(1.0 kg)(0.5 m)(0.5 kg)/(0.5 kg1.0 kg0.5 kg

= 0.25 m

Substituting the given values,

we get1/2)(0.192 kg m2) ω2 = (2.0 kg)(9.81 m/ s2)(0.25 m)

working for ω,

we get ω = 2.44 rad/ s

The final angular instigation of the meterstick- object system is

Lf =  I ω = (0.192 kg m2)(2.44 rad/ s) =468 kg m2/ s

The change in angular instigation of the meterstick- object system is

ΔL =  Lf- Li = 468 kg m2/ s- 0 kg m2/ s = 468 kg m2/ s

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The complete question is as follows:

a meterstick with a uniformly distributed mass of 0.5 kg is supported by a pivot placed at the 0.25 m mark from the left, as shown. at the left end, a small object of mass 1.0 kg is placed at the zero mark, and a second small object of mass 0.5 kg is placed at the 0.5 m mark. the meterstick is supported so that it remains horizontal, and then it is released from rest. one second after it is released, what is the change in the angular momentum of the meterstick? responses 0

A)0

B)480kg⋅m2/s

C)1000 kg⋅m2/s

D)The change in angular momentum of the meterstick cannot be determined from this information.

Select the correct answer.
In which of these examples does chemical energy change to electrical energy
A. digesting food
B. photosynthesis
C. respiration
D. using a battery
Recet

Answers

Answer:

I think it would be using a battery recet

Explanation:

Answer: Using a battery

Explanation:


A candle 3.0 cm high is placed 30 cm from a converging mirror with a focal length of 20 cm.

Answers

I hate to leave you without an answer, but there isn't enough information to be able to answer your problem.

Each cylinder contains an ideal gas trapped by a piston that is free to move without friction. The pistons are at rest, all gases are the same temperature, and each cylinder contains the same number of moles of gas.

Answers

When each cylinder contains an ideal gas trapped by a piston that is free to move without friction, the pistons are at rest, all gases are the same temperature, and each cylinder contains the same number of moles of gas, the gases in each cylinder exert the same pressure.

This is in accordance with the ideal gas law which states that the pressure of a gas is directly proportional to the number of molecules in the gas.

This is as expressed by the formula:

PV = nRT

where

P is the pressure of the gas,

V is the volume of the gas,

n is the number of moles of gas,

R is the gas constant, and

T is the temperature of the gas.

As the number of moles of gas, the volume of the gas, and the temperature of the gas are the same in each cylinder, then the pressure of the gas in each cylinder is also the same.

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which of the following exercise schedules satisfies the cardiorespiratory endurance recommendations for a day

Answers

The cardiorespiratory endurance recommendations for a day typically involve engaging in moderate to vigorous aerobic exercises for a certain duration.

Here are a few exercise schedules that satisfy these recommendations:
1. Option 1: 30 minutes of jogging or running at a moderate pace.
  - Jogging or running is a great way to improve cardiorespiratory endurance.
  - It involves continuous rhythmic movements that elevate your heart rate and increase your breathing rate.
  - Doing this exercise for 30 minutes helps to strengthen your heart and lungs.

2. Option 2: 45 minutes of brisk walking.
  - Brisk walking is a low-impact aerobic exercise that is suitable for most individuals.
  - It involves walking at a fast pace, which elevates your heart rate and breathing rate.
  - Engaging in brisk walking for 45 minutes provides an effective cardiovascular workout.

3. Option 3: 20 minutes of cycling at a high intensity.
  - Cycling is a great way to improve cardiorespiratory endurance while being gentle on your joints.
  - High-intensity cycling involves pedaling at a fast pace or using resistance.
  - Engaging in this exercise for 20 minutes helps to challenge your cardiovascular system.

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Complete question;

What exercise schedules satisfy the cardiorespiratory endurance recommendation for a day?

Which of the following is not a density-dependent factor limiting a population growth?

a) intra-specific competition

b) switching behavior of a predator

c) a stress syndrome that alters hormone levels

d) a limited number of available nesting site

Answers

Answer:A.

i know its a, i did quiz

The coffee machine uses an electric element to
heat water.

The coffee machine has a metal case.
Why would it be dangerous for the live wire of the electric cable to touch the
metal case?

Answers

Answer:

Because (Answer in Explanation)...

Explanation:

...Metal can conduct electricity, and so if they were to touch, there would be an electric current. If the person using the machine touches the case that touches the wire, they may get an electric shock.

A charge of 6.5 x 10-5 C is attracted by another charge with a force of 250 N when
they are separated by 0.15 m. Find the magnitude of the other charge.
8.65 X 105 C
9.62 × 10-2 C
6.15 x 10-6 C
O 9.62 x 10 c

Answers

Answer:

We can use Coulomb's law to solve this problem:

F = k * q1 * q2 / r^2

where F is the force between the two charges, k is Coulomb's constant (k = 9 x 10^9 N m^2 / C^2), q1 and q2 are the magnitudes of the charges, and r is the distance between them.

We know the force F, the distance r, and the magnitude of one of the charges q1. We can rearrange the equation to solve for the magnitude of the other charge q2:

q2 = F * r^2 / (k * q1)

Substituting the values we have:

q2 = (250 N) * (0.15 m)^2 / (9 x 10^9 N m^2 / C^2 * 6.5 x 10^-5 C)

Simplifying:

q2 = 8.65 x 10^5 C

Therefore, the magnitude of the other charge is 8.65 x 10^5 C.

____________________ steels contain specified larger proportions of alloying elements.

Answers

Alloy steel mainly consists of a specific large number of alloying elements.

Alloy steel is formed when other elements containing metal and non-metal are introduced to carbon steel. The percentage of alloying elements will differ from 1.0% to 50%. On the basis of this percentage, alloy steel is categorised into two major types, low alloy steel and high alloy steel. This alloy shows different environmental, chemical and physical properties that can change with changes in elements used to make an alloy. this alloying can affect heat treatment conditions and mechanical properties of carbon steel. In general, the addition of impurities increases the strength of the steel.

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1. A car has a total mass of 1200 kg and is traveling at 100 km per hour when the driver experience is a brake failure and collides with the barrels. Calculate the change in momentum it will experience whilst coming to a standstill.2. According to GSU's HyperPhysics Project this crash would have been fatal for an average 80 kg person. The safety zone in terms of momentum, ranges from 0 to 1,000 kg per metre per second. Determine the minimum velocity the car can slow down to during a collision with the barrels without the crash being fatal.

1. A car has a total mass of 1200 kg and is traveling at 100 km per hour when the driver experience is

Answers

Question 1.

Given:

Mass = 1200 kg

Velocity = 100 km per hour.

Let's find the change in momentum it will expperience.

To find the change in momentum, apply the formula:

\(\Delta p=mv_f-mv_i\)

Where:

Δp is the change in momentum

m is the mass of the car = 1200 kg

vf is the final velocity

vi is the initial velocity.

Here, the final velocity is = 0 m/s

The initial velocity is = 100 km/h

Let's convert the initial velocity to m/s.

Where:

1 m/s = 3.6 km/h

100 km/h = 100/3.6 = 27.78 m/s

Input the values into the formula and solve for Δp.

We have:

\(\begin{gathered} \Delta p=(1200\times0)-(1200\times27.78) \\ \\ \Delta p=0-3333.33 \\ \\ \Delta p=-33333.33kg.m\text{ /s} \end{gathered}\)

Therefore, the change in momentum is 33333.33 kg.m/s

Question 2.

Since the safety zone for momentum is 0 to 1000 kg.m/s, to find the minimum velocity of the car, substitute 1000 kg.m/s for Δp and solve for the final velocity vf

We have:

\(\begin{gathered} \Delta p=m_{}v_f-mv_i \\ \\ 1000=(1200v_f)-(1200\times27.78) \\ \\ 1000=1200v_f-33333.33_{} \\ \\ v_f=\frac{1000-33333.33}{1200} \\ \\ v_f=-26.94\text{ m/s} \end{gathered}\)

Therefore, the minimum velocity the car can slow down to a velocity is 26.94 m/s.

ANSWER:

(a). 33333.33 kg/m.s

(b). 26.94 m/s

_______ is the point in the object around which its weight is evenly distributed.

Answers

Answer:

CENTER OF GRAVITY is the point in the object around which its weight is evenly distributed.

Explanation:

An object's center of gravity (CG) is the equilibrium point where its constituent parts are uniformly distributed. In this situation, the object may behave as though its entire weight were concentrated at the center of gravity (CG).

Applications include the concept that a weighted object always rotates freely about its center of mass and that a weighted object will fall over if its center of gravity is beyond its base of support. Additionally, the center of gravity is where the most force is applied.

The point in the object around which its weight is evenly distributed is known as the center of gravity.

It is also referred to as the center of mass. The center of gravity is the point around which the mass of an object is evenly distributed in all directions. There are different ways to find the center of gravity of an object. However, one common method involves suspending the object from different points and then marking the vertical line. The intersection of these lines is the center of gravity. The center of gravity has applications in physics and engineering. For instance, in the design and construction of buildings, it is essential to determine the center of gravity to ensure the stability and safety of the structure. In summary, the center of gravity is an important concept in physics and engineering that helps in understanding the distribution of weight and stability of objects.

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14.a box of mass 40kg has a base of area 10m2 .calculate the pressure exerted by it on the ground (use 1kg-f=10n).

Answers

The pressure exerted by a box on the ground can be calculated by dividing the force exerted by the box on the ground by the area of the base of the box.

The force exerted by the box can be calculated using Newton's second law, which states that force (F) is equal to the mass (m) of an object multiplied by its acceleration (a). In this case, the mass of the box is given as 40 kg. Since the box is at rest on the ground, the acceleration is 0. Therefore, the force exerted by the box is 0 N.

To calculate pressure, we need to convert the force from newtons to kilogram-force. Since 1 kg-f = 10 N, the force can be expressed as 0 N / 10 = 0 kg-f.

The pressure exerted by the box on the ground is calculated by dividing the force by the area of the base of the box. The area is given as 10 m^2. Therefore, the pressure exerted by the box on the ground is 0 kg-f / 10 m^2 = 0 kg-f/m^2.

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the maximum speed of a child on a swing is 4.9 m/s. the child's height above the ground is 0.70 m at the lowest point in his motion. how high above the ground is he at his highest point

Answers

1.925 m high above the ground is he at his highest point.

As per the question,

V=4.9 m/s    

h= 0.70 m (child's height above the ground at the lowest point in the motion)

Height of the child above the ground at his highest point=h’

H=h’-h

1/2mV²=mgH        (g=9.8m/s²)

V²=2gH               [V=2g(h’-h)]

V=√ 2×9.8×(h’-0.70)

(4.9)²=19.6(h’-0.70)

24.01=19.6h’-13.72

37.73=19.6h’

37.73/19.6=h’

1.925=h’

What is motion?

In physics, motion is defined as a change in a body's position or orientation over time. Translation is the term for motion along a line or a curve. Rotation is another motion that modifies a body's orientation.

What is periodic motion?

Periodic motion is defined as a motion that repeats at regular periods of time.

The motion of a youngster on a swing is periodic because the motion of a swing also repeats after short intervals.

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How are step-up transformers used in the transmission of electrical energy?

How are step-up transformers used in the transmission of electrical energy?

They increase the voltage for efficient long-distance transmission.
They decrease the voltage before it leaves a power plant.
They increase the current for efficient long-distance transmission.
They increase the voltage and the current for a short-distance transmission.

Answers

The step-up transformers are used in the transmission of electrical energy in the way they increase the voltage for efficient long-distance transmission.

What is transformer?

A transformer transfers electric energy from one AC circuit to one or more other circuits, either stepping up or stepping down the voltage.

In step up transformers, the voltage are increased from low to high. Step ups are used of long distance transmission In step down transformers, the voltage is decreased from high to low based on the purpose.

Thus, they increase the voltage for efficient long-distance transmission.

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Two objects in a closed system collide. After the collision, one object has lost speed, but the other object has gained speed. Explain what has happened. A. Total momentum in a closed system is conserved. B. Gravitation potential energy converts to kinetic energy. C. Kinetic energy converts to gravitational potential energy. D. Mass is conserved

Answers

A. Total momentum in a closed system is conserved

the law of momentum conservation states that The total amount of momentum before the collision is the same as the total momentum after the collision. Regardless of the change of momentum of each object.

a particle traveling around a circle at constant speed will not experience an acceleration.

Answers

The answer would be false

Because sound waves vibrate longitudinally, what can result?

A Disruptions of fixed waves

B. Changes in the density of air

С. Pressure differences where compressions are rarefied

D Regions of high pressure and low pressure



I NEED HELP ASAPPP!!!!!!!! someone help me!!! :(​

Answers

air molecules are moving in a direction that is parallel to the direction that the wave moves(longitudinal wave which you know). The result of such longitudinal vibrations is the creation of compressions and rarefactions within the air

So I believe it is C
The answer is c . Pressure differences where compressions are rarefied

The process of predicting values that extend beyond the range of data points is called (5 points)

a
absolute value

b
extrapolation

c
interpolation

d
prediction

Answers

Answer:

The answer is B extrapolation

The process of predicting values that extend beyond the range of data points is called extrapolation, so option B is correct.

What is extrapolation?

Extrapolation is a method of estimating a variable's value outside the original observation range using the relationship between the variable and another variable.

Extrapolation is comparable to interpolation in that it yields estimates between known observations, but extrapolation is more imprecise and more likely to yield meaningless findings. If identical approaches are assumed to be applicable, extrapolation may also refer to the extension of a method.

Creating a tangent line at the end of the known data and extending it past that point is known as linear extrapolation. Only when utilized to extend the graph of a roughly linear function or not too far beyond the existing data will linear extrapolation yield good results.

Therefore, the process of predicting values that extend beyond the range of data points is called extrapolation.

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A wave has a frequency of 3 Hz, how long is the period?

A 9

B 6

C 3

D .33

Answers

Answer D

Explanation I did the quiz

a ping-pong ball covered with a conducting graphite coating has a mass of 5.0 x 10-3 kg and a charge of 4 uc. what electric field will balance exactly the weight of the ball? give magnitude and direction of the e.

Answers

The ball's weight will be precisely balanced by the electric field is E = 12.25 x 10³ N/C = 12.25 KN/C

The electrostatic force caused by the electric field must be equal to the weight of the body or charge in order to balance the object's weight. Therefore,

Weight = Electrostatic Force

E q = mg

where,

Electric field = (E) =?

5 x 103 kg is the mass of the charge, or m.

g = 9.8 m/s2 is the acceleration caused by gravity.

Q equals the charge's magnitude, which is 4 C (4 x 106 C).

Therefore,

E(4 x 10⁻⁶ C) = (5 x 10⁻³ kg)(9.8 m/s²)

E = 0.049 N/4 x 10⁻⁶ C

E = 12.25 x 10³ N/C = 12.25 KN/C

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An object starts from rest and travels around a 6 m radius circular orbit, with its speed increasing at the rate of 8 m/s2. After 0.75 s, find the magnitude of its acceleration.

Answers

According to the question the magnitude of the acceleration is 36 m/s².

What is acceleration?

Acceleration is the rate of change of an object’s velocity, which is the speed and direction of the object’s motion. Acceleration is caused by a net force, which can come from either an outside source or from internal forces within the object itself. Acceleration is a vector quantity, meaning it has both magnitude (the amount of acceleration) and direction. When an object is accelerating, its velocity changes over time, either increasing or decreasing.

The magnitude of the acceleration of an object moving in a circular orbit is given by the formula:
a = v²/r
where a is the magnitude of the acceleration, v is the velocity of the object and r is the radius of the circular orbit.
In this case, the velocity at time t = 0.75 s is 8 m/s² x 0.75 s = 6 m/s.
Therefore, the magnitude of the acceleration is:
a = 62/6 = 36 m/s².

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Choose whether the statements below are true or false

Choose whether the statements below are true or false

Answers

Answer:

1. false 2.true 3. true

Explanation:

there was more scientific method and more ways to solve

the hypothesis show the experiment design  

9. An astronaut weighs 500 Newtons on Earth and 25
newtons on asteroid X. The acceleration due to
gravity on asteroid X is approximately
A) 1 m/s²
C) 0.2 m/s²
B) 2 m/s²
D) 0.5 m/s²

Answers

The acceleration due to gravity on asteroid X is approximately  0.5 meter/secon^2. Hence, option (D) is correct.

What is acceleration due to gravity?

The acceleration an object experiences as a result of gravitational force is known as acceleration due to gravity. M/s^2 is its SI unit. Its vector nature—which includes both magnitude and direction—makes it a quantity. The letter g stands for gravitational acceleration.

Given that:  An astronaut weighs 500 Newtons on Earth and 25 newtons on asteroid X.

Hence,  The acceleration due to gravity on asteroid X is :

= acceleration due to gravity on Earth × (25 N/500N)

= 10 meter/secon^2 × (1/20)

= 0.5 meter/secon^2 ( approx.)

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What causes competition among organisms?

Answers

Answer:

Whats up Bmw,

The organisms is caused when both the organisms or species are harmed, which is limited supply of at least one resource from food or even water used by both can be a factor.

Explanation:

Hope I helped you, and let me know if you need help on anything else :p

Answer:

Limited resources lead to competition between organisms

Explanation:

Competition is a negative interaction that occurs among organisms whenever two or more organisms require the same limited resource. All organisms require resources to grow, reproduce, and survive. However, organisms cannot acquire a resource when other organisms consume or defend that resource.

At 55 mph, how long does it take for a truck to fully stop?.

Answers

The time taken by a truck to fully stop will be 2 hours. The time taken is found with the help of Newtons second equation of motion.

What is distance?

Distance is a numerical representation of the distance between two objects or locations.

Distance can refer to a physical length or an estimate based on other factors in physics or common use. |AB| is a symbol for the distance between two points A and B.

The given data Is;

u is the velocity of truck =  55 mph

v is the final velocity of truck = 0 mph

S is the distance travelled by the truck before stop= 302 feet

1 feet = 0.000189394 mile

302 feet = 302 × 0.000189394 mile= 0.057197 mile

From the Newtons's second equation of motion;

\(\rm v^2 = u^2-2as\)

The formula for the acceleration is found as;.

\(a = \frac{v-u}{t}\)

By rearranging the equation, we get;

\(\rm u^2 =2as \\\\ u^2 =2[ \frac{v-u}{t}]s \\\\ u = \sqrt{2[ \frac{v-u}{t}]s} \\\\ 55 = \sqrt{2[ \frac{55-0}{t}]} \\\\ 55= \frac{2 \times 55}{t} \\\\ t= 2 \ hour\)

Hence, the time taken by a truck to fully stop will be 2 hours.

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Q.6 Explain conceot of magnetization​

Answers

Answer:

Magnetization is the density of magnetic dipole moments that are induced in a magnetic material when it is placed near a magnet. ... Magnetization is also known as magnet polarization.

An electromagnetic wave is composed of electrical and magnetic energy.


Please select the best answer from the choices provided

T
F

Answers

Answer:

the answer is T!!

!!!!!!!!

Answer:

true

Explanation:

hope this helps

A blue car is traveling at a rate of 20 m/s. A red car is traveling at a rate of 40 m/s. The cars have equal masses.
Compare the kinetic energy of the two cars.

Answers

The red car has twice the velocity and therefore has 4 times the kinetic energy of the blue car.

pls help !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

pls help !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

the last answer is correct.

Explanation:

If one team pulls with more force than the middle flag or marker will move

are the observations explained by saying that the nail only contains one type of charge? _________________________________________________________________________________[1]

Answers

The nail is only temporarily charged positively/negatively since its initial state was neutral, but itcan only have one type of charge at a time.

Negatively charged things and neutral objects pull toward one another, as do positively charged objects and neutral objects. Physics instructors frequently illustrate this third interaction between charged and neutral objects, and students often have the opportunity to participate in such activities in the lab. While charging through conduction, both objects acquire the same kind of charge. When a neutral object is charged with a negative charge, both charged objects become negatively charged. A body is considered to have a negative charge if it contains more electrons than protons. A body, on the other hand, is considered to have a positive charge if it has more protons than electrons.

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How were West Africans originally organized before contact with Europeans?OA. by clanOB. by countryOC. by cityOD. by religion 40 1.5 hrs (10 points) RVA, 4400/220 V, 50Hz, single phase transformer gave the following test s power input during short circuit test is 500 W (with rated current), power during open circuit test is 300 W. Calculate the efficiency for full-load current at 0.8 power factor lagging Determine the load at which maximum efficiency occurs Determine the maximum efficiency at unity power factor. (4) Choose two central ideas of the passage.Models and costs of cars introduced by Volkswagen over the years.The Volkswagen Beetle as an engineering failure causing a reduction in their sales.The Volkswagen Beetle as one of the most beloved of many car enthusiasts.The history and characteristic features of European automobile industry. 5 customers entered a store over the course of 2 minutes. At what rate were the customers entering the store in customers per minute? not counting its radio antennas, sputnik, the first satellite in space, was about the size of what? an egg Which of the following are example of collective action problems?1. A dictator building a fancy palace for themselves instead of providing healthcare for their country.2. Countries deciding full lockdown and travel bans because some of their neighboring countries will fail to contain the pandemic, and some of those cases may later spread to their country, too.3. Luxury brands increasing their advertising budgets to beat their competitors.4. New factory farms being built because meat companies successfully influenced legislation against meat alternative start-ups. Use the correct temperature formula to answer the question. On a July day, the temperature at the peak of Mt.Everest is - 16 C. Is that temperature warmer or colder than 0 F? Consider a cylindrical volume in space defined by diameter D=120 mm and axial length L=12 mm. it is required to design a planetary gear system which can be housed in the defined volume. The input power is provided at the sun gear and output is taken from the ring while the centers of the three planets are held fixed Some external design constraints dictate that the shaft rotating the sun must have a minimum diameter of 20 mm. Schematic of a typical Planetary gear system Which amongst the following gear teeth combinations for sun, planet and ring respectively provide the maximum speed reduction ratio, while respecting the constraints mentioned? I said i would()(*))(* )()(how did the first one get so popular already If you have ever been on the shore of a large lake, you may have noticed that you cannot see the beaches, piers, or rocks at water level across the lake on the opposite shore. The lake seems to bulge out between you and the opposite shore - a good clue that the Earth is round. Suppose you climb a stepladder and discover that when your eyes are 10 ft (3.0 m) above the water, you can just see the rocks at water level on the opposite shore. From a map, you estimate the distance to the opposite shore as d 6.1 km. Use h = 3.0 m to estimate the radius R of the Earth. pls help me with this I NEED THIS ASAP How did nationalism cause revolutionary movements in the Ottoman Empire? People disagreed with the use of conscription to increase the number of soldiers. People wanted to be ruled by leaders who shared their language and culture. People wanted to create alliances to ensure they would be safe from war. People thought industrialization should provide them with higher wages. a hemispherical tank has a radius of 15ft. given that the water weighs is 62.5lb/ft3, find the work required to pump the water out of the tank. work = Which sentence contains the strongest example of imagery?O It was a cold and windy night.The sky was immense and seemed to swallow me whole.Stars shimmered in the sky like a sea of tiny candles.O I felt very alone as I looked out at the night and shivered. Which is an example of a way that a citizen can seek participation in an international organization? How does Wilson characterize the United States in thispassage?O as a protector of its dominionas a supporter of neutralityas a defender of libertyas a supporter of pacifismAnswer is AS A DEFENDER OF LIBERTY Hi,Does someone have a copy of Cambridge Latin stage 23 test story "modestus hears a strange conversation" (modestus sermonem mirabilem audit)Thanks can someone help ASAP What trade made the French wealthy? Inthe article six rules for effective forecasting, the author paulsaffo suggests that forecasters should look for the s curve. use apersonal experience to explain why this is important.