If I have a series circuit with 3 resistors on it and each resistor has a resistance of 500
Ohms, what is my total resistance?

If I Have A Series Circuit With 3 Resistors On It And Each Resistor Has A Resistance Of 500Ohms, What

Answers

Answer 1

Answer:

1,500 ohms is the total resistance


Related Questions

An object with a charge of -3C is touched to an object with a charge of -1C. What is the new charge on each object?

Answers

After connecting the conducting wire, the spheres will redistribute charges until they both have a charge of -1C.

To determine the new charges on the spheres, we need to consider the principle of charge conservation, which states that the total charge before and after an interaction remains the same.

Let's assume that the spheres have charges Q1 and Q2 initially. In this case, Q1 = -3C and Q2 = +1C.

When a conducting wire is connected between the spheres, charge can redistribute until the system reaches equilibrium. Since the spheres are conducting, charges are free to move within them.

In the final state, the charges on the spheres will redistribute to reach a new equilibrium. Let's assume the new charges on the spheres are Q1' and Q2'.

According to the principle of charge conservation, the total charge before and after the connection remains the same:

Initial total charge = Q1 + Q2 = -3C + 1C = -2C

Final total charge = Q1' + Q2'

Since the total charge remains the same, we can write the equation:

Q1' + Q2' = -2C

Since the spheres are of equal size, we can assume that the charges redistribute equally:

Q1' = -1C

Q2' = -1C

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The question probable may be:

A conducting wire is connected between two conducting spheres of equal size have a charge of -3C and +1C respectively. Find out the new charge on each sphere ?

Calculate the pressure due to a water column of height 120m ( take density of water = 1000 kg/m raise to 3, g = 10 m/s raise to 2

Calculate the pressure due to a water column of height 120m ( take density of water = 1000 kg/m raise

Answers

Answer:

P = ρ g H       familiar expression for pressure due to column of liquid

P = 1000 kg/m^3 * 10 m/s^2 ^ 120 m = 1,200,000 kg / m/s^2

Can also be written P = 1.2E6 kg / (m/s^2)

Usually written as 1.2E6 N/m^2

Standard atmospheric pressure is written as

1.01E5 N/m^2

So the pressure due to the column of water would be about 12 X

that of a column of water as given

The classic millikan oil drop experiment was the first to obtain an accurate measurement of the charge on an electron. In it, oil drops were suspended against the gravitational force by a vertical electric field. True or false?.

Answers

True. The classic Millikan oil drop experiment was indeed the first experiment to obtain an accurate measurement of the charge on an electron.

The Millikan oil drop experiment was indeed the first to obtain an accurate measurement of the charge on an electron. In the experiment, oil drops were suspended in mid-air against the gravitational force by applying a vertical electric field. By precisely measuring the electric field required to counteract gravity and keep the oil drops stationary, Robert A. Millikan was able to determine the charge on individual oil droplets, which allowed him to calculate the charge on an electron. This groundbreaking experiment provided crucial insights into the fundamental nature of electrical charge.

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Which is the best description of a high pressure system?



A.
Air cools and rises.

B.
Air warms and rises.

C.
Air cools and sinks.

D.
Air warms and sinks.

Answers

Answer:

The Answer is gonna be B.

Air warms and rises.

What is technology?

А. the ability to perform a task in a short period of time using little to no energy.

B. the ability to perform a task using a full range of motion in a short period of time.

C. the production of new machines as a result of processes using science and knowledge.

D. the interaction among people, companies, and governments of different nations​

Answers

Answer:

C. the production of new machines as a result of processes using science and knowledge.

Explanation:

Technology is the application of scientific research and knowledge .

i would say C. Good luck!!!

Pleeeease help! I'll give brainliest if possible!! :)))

Use the scenario to answer the question.


An astronomer discovers a new galaxy using a telescope. The astronomer wants to investigate how the galaxy is moving relative to the Milky Way galaxy.


In one or two sentences, make a hypothesis about the movement of the galaxy and explain at least one way to test the hypothesis.

Answers

The most scientific guess (hypothesis) based on what is known about the behavior of galaxies is that Galaxies are continuously moving away from each other. This hypothesis can be tested using Hubble's Law.

What does Hubble's Law Say?

Hubble's law indicates that almost all galaxies are moving apart from one another because the universe as a whole is expanding. Choose any two galaxies at arbitrarily, and they're most likely traveling apart from each other.

Hubble discovered that galaxies move away from us at a rate proportionate to their distance: more distant galaxies move away faster than closer ones. The accompanying graphic shows Hubble's classic graph of measured velocity vs. distance for neighboring galaxies.

The graph shows a linear relationship between galaxy velocity (v) and distance (d).

The equation for the above linear relationship is:

                                          v = H₀ x d

Where:

H₀ is the expansion rate

v = velocity of the galaxy; and

d = distance.

Using the above formula, the astronomer can measure or test to know whether indeed the new galaxy is moving relative to the Milky Way galaxy and at what rate.

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during a crash a dummy with the mass of 60.0 kg hits a airbag that exerts a constant force in the dummy the acceleration of the dummy is 250 m/2 what force did the airbag exert on the dummy?

Answers

Explanation:

F = ma

F = (60.0 kg) (250 m/s²)

F = 15,000 N

During a crash, a dummy with a mass of 60 kg hits an airbag, then the airbag will exert 15,000 N force on the dummy.

What is acceleration?

The rate of change in an object's velocity concerning time is known as acceleration in mechanics. The vector quantity of accelerations. The direction of the net force that is acting on an object determines its acceleration.

Since acceleration has both a magnitude and a direction, it is a vector quantity. Velocity is a vector quantity as well. The definition of acceleration is the change in velocity vector over a time interval divided by the time interval.

There are several types of acceleration :

Uniform AccelerationNon-Uniform AccelerationAverage Acceleration

According to the question, the given values are :

Mass, m = 60 kg

Acceleration, a = 250 m/s²

F = ma

F = (60.0 kg) × (250 m/s²)

F = 15,000 N

Hence, the force exerted by the airbag will be 15,000 N.

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=) A force of 15 N is used to pull a window blind shut.
Calculate the distance the blind is pulled when 14 J of work are done.

Answers

The distance the blind is pulled when 14 J of work are done is approximately 0.9333 meters.

How are pull-down blinds taken down?

To remove your blind casting from the bracket, push and lift it up against the pin on the opposite side. Turn this in the other direction until you hear the plastic wheel click, and then carefully remove the blind from the bracket.

\(W = F * d\)

d = W / F

Substituting the given values, we get:

d = 14 J / 15 N

Simplifying this expression, we get:

d = 0.9333 meters

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1. when all other factors are constant, the ______ determines the length of a projectile's trajectory.

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When all other factors are constant, the initial velocity determines the length of a projectile's trajectory.

A projectile is an object that is thrown or projected into the air and follows a path determined by the forces of gravity and air resistance. The length of a projectile's trajectory is determined by the time it takes for the projectile to reach its maximum height and the time it takes for the projectile to return to the ground. Initial velocity is the velocity at which a projectile is launched, and it determines the initial speed and direction of the projectile.

The greater the initial velocity, the farther the projectile will travel before hitting the ground, this is because the projectile spends less time in the air, so it has less time to slow down due to air resistance. In contrast, a projectile with a lower initial velocity will travel a shorter distance because it spends more time in the air and slows down more due to air resistance. Therefore, the initial velocity is a crucial factor that determines the length of a projectile's trajectory.

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A car accelerates at a constant rate of 1. 83m/s^2 along a flat straight road. The force acting on the car is 1870N. Calculate the mass of the car

Answers

The mass of the car is calculated as 1021.86 kg. We can calculate the mass of the car by using the formula: mass = Force / acceleration

Given information: Acceleration of the car = 1.83 m/s²

Force acting on the car = 1870 N

We know that Force = mass × acceleration

According to the question, we need to find the mass of the car. We can calculate the mass of the car by using the formula: mass = Force / acceleration

Putting the values in the above equation, we get mass = 1870 N / 1.83 m/s²

So, the mass of the car is: mass = 1021.86 kg

Therefore, the mass of the car is 1021.86 kg.

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A 2 kg object is moving to the right with a speed of 1 m/s when it experiences an impulse of 4 ns.

Answers

The object's velocity after the force ends equals 3.0 m/s, moving to the right.

Velocity is described as a vector measurement of the charge and path of motion. Placed truly, speed is the velocity at which something moves in one course. The velocity of an automobile travelling north on a chief parkway and the velocity of a rocket launching into the area can each be measured using speed.

The distinctive styles of velocities are uniform speed, variable velocity, common pace and immediate pace. Uniform velocity: A body is stated to be shifting with uniform speed if its average pace among any two factors along its course is equal in importance as well as path.

The SI unit of velocity is metre per/sec (m/s). as an alternative, the speed magnitude can also be expressed in centimetres per 2nd (cm/s).

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how to convert g/cm^3 to kg/m^3

Answers

To convert g/cm³ to kg/m³, multiply the value in g/cm³ by 1000. For example, 2.5 g/cm³ is equivalent to 2500 kg/m³.

How to convert g/cm³ to kg/m³?

To convert grams per cubic centimeter (g/cm³) to kilograms per cubic meter (kg/m³), you can use the following conversion factor:

1 g/cm³ = 1000 kg/m³

To convert from g/cm³ to kg/m³, simply multiply the value in g/cm³ by 1000.

For example, let's say you have a density of 2.5 g/cm³. To convert it to kg/m³, you would do the following calculation:

2.5 g/cm³ * 1000 = 2500 kg/m³

So, 2.5 g/cm³ is equivalent to 2500 kg/m³.

Certainly! Density is a measure of how much mass is contained in a given volume. It is typically expressed in units such as grams per cubic centimeter (g/cm³) or kilograms per cubic meter (kg/m³).

The conversion from g/cm³ to kg/m³ involves scaling the density by a factor of 1000. This is because there are 1000 grams in a kilogram and 1 cubic meter is equivalent to 1,000,000 cubic centimeters.

When you convert from g/cm³ to kg/m³, you are essentially converting from a smaller unit (gram) to a larger unit (kilogram) and from a smaller volume (cubic centimeter) to a larger volume (cubic meter). This means that the resulting value in kg/m³ will be larger than the original value in g/cm³.

For example, if you have a material with a density of 0.75 g/cm³, to convert it to kg/m³, you would multiply by 1000:

0.75 g/cm³ * 1000 = 750 kg/m³

So, the density of the material is 750 kg/m³.

It's important to remember that when converting units, you need to consider the relationship between the units and the appropriate conversion factors. In this case, the conversion factor is based on the relationship between grams and kilograms (1000 grams = 1 kilogram) and the relationship between cubic centimeters and cubic meters (1,000,000 cubic centimeters = 1 cubic meter).

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ultrasound is used to view the bodies tissues. to see a sharp image, the wavelength of the sound should be around 1/4th the size of the objects being viewed. approximately what frequency of sound is needed to produce a clear image of a tumor that is 1.0mm diameter if the speed of sound in the tissue is 1550m/s?

Answers

A frequency of 6.2 MHz is needed to produce a clear image of a tumor that is 1.0mm in diameter, assuming the speed of sound in the tissue is 1550m/s. To produce a clear image of a tumor that is 1.0mm in diameter, the wavelength of the sound should be around 1/4th the size of the object being viewed. This means that the wavelength of the sound should be approximately 0.25mm.

To determine the frequency of the sound needed to produce this wavelength, we can use the formula:
wavelength = speed of sound / frequency
0.25mm = 1550m/s / frequency
Solving for frequency, we get:
frequency = 1550m/s / 0.25mm
frequency = 6.2 MHz

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Which property of a transverse wave stays the same even as the wave's
energy and other properties change?
Wavelength
Frequency
Rest position
Amplitude
ent
1 of 8 QUESTIONS
SUBMIT

Answers

The property of a transverse wave that stays the same even as the wave's energy and other properties change is the wavelength.

The correct option to the given question is option a.

The wavelength is the distance between two successive points of the wave that are in phase. As the wave's energy and amplitude change, the distance between two successive points of the wave that are in phase remains the same.

This is because wavelength is determined by the frequency of the wave and the speed of propagation. The frequency of the wave is the number of cycles of the wave that occur in one second, while the speed of propagation is the rate at which the wave travels through a medium.

If the frequency of the wave and the speed of propagation remain the same, then the wavelength will also remain the same even as the wave's energy and other properties change. This property is known as the characteristic of the wave.The amplitude is the maximum displacement of a point on the wave from its rest position. The frequency is the number of cycles of the wave that occur in one second. The rest position is the position of the medium when it is not disturbed.

Hence, wavelength of a transverse wave remains same even as the wave's energy and other properties change.

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In Europe, gas cost approximately €0.98 per liter. How many dollars($) per gallon is this? ​ using a factor method

Answers

Answer:

€0.98 per liter = 4.377 doller per gallon

Explanation:

It is given that, In Europe, gas cost approximately €0.98 per liter. We need to convert it into dollars($) per gallon.

We know that, 1 euro = 1.18 United States Dollar

1 litre = 0.264172 US gallon

Cost of gas in Europe is €0.98 per liter.

\(0.98\ \text{euro/ liter}=\dfrac{0.98\times 1.18\ \text{doller}}{0.264172\ \text{gallon}}\\\\=4.377\ \text{doller/gallon}\)

If an object starts at rest, what is necessary to make it start moving?

Answers

it might be force but i don’t remember

It will need a force acceleration

ASAP ASAP ASAP ASAP ASAP!

Using two billiard balls, design an experiment to demonstrate the law of conservation of momentum.

Just needs to be three to force complete sentences. Will mark Brainliest!

Answers

The experiments to demonstrate the conservation of momentum with the two billiard balls of known masses, m₁ and m₂, and velocities u₁ and u₂. The balls are then made to collide with velocities v₁ and v₂ after the collision

The momentum before and after the collision is then calculated as follows:

m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂

What is the momentum of a body?

The momentum of a body is the product of the mass and the velocity of the object.

Mathematically;

the momentum of a body is determined as follows:

Momentum = mass * velocity

Momentum is conserved if the momentum before and after the collision is equal.

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Kepler was the first astronomer to look at the planet’s orbital __________. He discovered that these had a/an _________ shape.

------------------------------------------------------------------------------------------------

The heliocentric model is actually just a model for ___________, not our entire universe.

Answers

Kepler was the first astronomer to look at the planet’s orbital paths. He discovered that these had a/an elliptical shape.

The heliocentric model is actually just a model for the solar system, not our entire universe.

At one instant a heavy object in the air moving upward at 50 meters per second. One second later its speed in meters per second is approximately

a. 40 m/s
b. 50m/s
c. 60 m/s
d. 55 m/s

Answers

One second later its speed in meters per second is approximately a. 40 m/s.

Given that a heavy object is moving upward at 50 meters per second, we need to determine its speed one second later. To do this, we will consider the effects of gravity on the object's motion.

Gravity exerts a force on the object which causes it to decelerate. On Earth, the acceleration due to gravity is approximately 9.8 meters per second squared (m/s²) acting downwards. As the object is moving upwards, the gravitational force will reduce its speed by 9.8 m/s every second.

After one second, the object's speed will be reduced by 9.8 m/s. Therefore, the new speed can be calculated as follows:

Initial speed - deceleration due to gravity = New speed
50 m/s - 9.8 m/s = 40.2 m/s

Based on the available options, the closest approximation to the object's speed after one second is 40 m/s (option a).

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Identify when fatigue-based failure might occur and give materials design approaches to prevent it.

Answers

Fatigue-based failure occurs when a material undergoes repeated loading and unloading cycles that ultimately lead to a reduction in its structural integrity over time. This type of failure can happen in a variety of applications, such as bridges, aircraft, and power generation systems, where cyclic loading is common.

One common approach to preventing fatigue-based failure is to use materials with high fatigue resistance. This can be achieved through various materials design approaches, such as using materials with high strength, toughness, and ductility, which can help prevent the initiation and propagation of cracks. Additionally, materials that are resistant to corrosion and wear can also help prevent fatigue-based failure by reducing the likelihood of surface damage.

Overall, preventing fatigue-based failure requires a multi-faceted approach that involves not only selecting materials with high fatigue resistance but also modifying the design and operating conditions of the structure or component to minimize cyclic loading and prevent the initiation and propagation of cracks.

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Nearly all scientists agree that fossil fuels will be used up in a few decades.

· True
· False

Answers

Answer:

it's true

mark me as brilliant please

The answer is false because many believe that we will eventually stop using them,but the answer is false

what is the half-life of lithium-8 if the decay constant is 0.825/s? what is the half-life of lithium-8 if the decay constant is 0.825/s? A. 0.572s B. 2.42s
C. 1.19s
D. 0.840s

Answers

0.840s is the half-life of lithium-8 if the decay constant is 0.825/s. The decay constant is unique to each radioactive substance and measures the speed of radioactive decay. Therefore, the correct answer is option D.

The half-life of lithium-8 can be calculated using the formula:

\(t1/2 = ln(2) / \lambda\)

Where t1/2 is the half-life, ln is the natural logarithm, and λ is the decay constant. Substituting the given decay constant of 0.825/s into the formula:

t1/2 = ln(2) / 0.825/s

t1/2 ≈ 0.840s

Therefore, the half-life of lithium-8 is approximately 0.840s. The formula for half-life is a fundamental concept in nuclear physics, which determines the time required for a radioactive substance to decay by half of its original quantity. The decay constant, which is specific to each radioactive substance, measures the rate at which radioactive decay occurs.

The higher the decay constant, the shorter the half-life, indicating that the substance is more unstable and decays faster. In this case, the decay constant of lithium-8 is 0.825/s, indicating that it is relatively unstable and has a short half-life of approximately 0.840s.

In summary, the half-life of lithium-8 is approximately 0.840s with a decay constant of 0.825/s. Therefore, the correct answer is option D.

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________ involves using your five senses to understand the world around you
A. Research
B. Inferring
C. Critical thinking
D. Observation

Answers

Answer:

D

Explanation:

Answer: D

Explanation: I did this once in class i dont remember

what is the angular resolution at 420 nm for a telescope with a 9 meter primary mirror? (just a number, no units) (calculate to 4 decimal places)

Answers

The angular resolution for a telescope with a 9-meter primary mirror at 420 nm is approximately 0.0116 arcseconds.

The angular resolution at 420 nm for a telescope with a 9 meter primary mirror can be calculated using the formula:

angular resolution = 1.22 x wavelength / diameter

where wavelength is in meters and diameter is in meters.

Converting 420 nm to meters gives us 4.2 x 10^-7 meters.

Plugging in the values, we get:

angular resolution = 1.22 x (4.2 x 10^-7) / 9

Simplifying this expression gives us an angular resolution of:

0.00002682 radians (to 4 decimal places)

Angular resolution (in radians) = 1.22 * (wavelength / diameter)

Here, the wavelength (λ) is 420 nm (4.2 x 10^(-7) m) and the diameter (D) of the primary mirror is 9 meters. Plugging these values into the formula, we get:

Angular resolution (in radians) = 1.22 * (4.2 x 10^(-7) m / 9 m)

Angular resolution (in radians) = 5.644 x 10^(-8)

To convert the angular resolution to arcseconds, we can multiply by the conversion factor (206,265 arcseconds per radian):

Angular resolution (in arcseconds) = 5.644 x 10^(-8) radians * 206,265 arcseconds/radian

Angular resolution (in arcseconds) ≈ 0.0116

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What quality differentiates hydrogen (H) from the other elements in group 1, the alkali metals?

Answers

Answer:

It's a non-metal

Explanation:

100%

Answer:

(Question) If only an element’s atomic number and weight are provided, what other atomic information can be determined for a neutral atom?

(Answer) the number of protons, electrons and neutrons

(Question) What quality differentiates hydrogen (H) from the other elements in group 1, the alkali metals?

(Answer) It is a non-metal.

(Question) On which atomic property proposed by Henry Moseley is the current periodic table of the elements based?

(Answer) atomic number

(Question) You plan to pass alpha particles through a field that contains a consistent type of particle. Which configuration will result in the largest deflection of alpha particles?

(Answer) low-energy alpha particles passing through a field of high mass-number-particles

(Question) Which statement about metals and nonmetals is correct?

(Answer) Metals can be hammered into thin sheets, and nonmetals are brittle.

(Question) Based on properties of elements in the periodic table, which element is the best conductor of thermal energy?

(Answer) vanadium (V)

(Question) Which element has four valence electrons?

(Answer) silicon (Si)

(Question) Which statement best explains why hydrogen’s atomic number is equal to its mass?

(Answer) Hydrogen does not have any neutrons.

(Question) Which statement correctly compares the valence electrons for atoms of francium (Fr) and barium (Ba)?

(Answer) Francium has fewer valence electrons, but they are in a higher energy level.

(Question) Why are the noble gases the least reactive elements?

(Answer) They have a full valence electron shell.

(Question) Group 2 elements have two valence electrons. Which kind of bond will they most likely form, and why?

(Answer) An ionic bond is likely because they will want to give away two valence electrons in order to become stable.

(Question) How many electrons can carbon accept from other atoms while bonding?

(Answer) four

(Question) An element has six valence electrons. Which ionic charge will its ion carry?

(Answer) 2-

Questions 14, 15, & 16 are written responses good luck.

Explanation:

UwU

Two identical resistors are connected in parallel across a 26-V battery, which supplies them with a total power of 7.1 W. While the battery is still connected, one of the resistors is heated so that its resistance doubles. The resistance of the other resistor remains unchanged. Find (a) the initial resistance of each resistor, and (b) the total power delivered to the resistors after one resistor has been heated.

Answers

Answer:

A) R = 190.42 Ω

B) P = 5.325 W

Explanation:

We are given;

Total power;P_tot = 7.1 W

Voltage;V = 26 V

A)We are told that while the battery is still connected, one of the resistors is heated, so that its resistance doubles.

Thus, the power is doubled.

Now, formula for power is;

P = IV

Thus, since power is doubled, we have;

P = 2(IV)

Now, formula for current is; I = V/R

So, P = 2V²/R

Making R the subject, we have;

R = 2V²/P

In this question, P is p_total = 7.1 W

Thus;

R = (2 × 26²)/7.1

R = 190.42 Ω

B) Now, the resistance of the resistors are R and 2R.

Formula for power in this context is;

P = V²/R

Thus,

Total power delivered to the resistors is;

P = V²/R + V²/2R

P = 3V²/2R

P = (3 × 26²)/(2 × 190.42)

P = 5.325 W

you are running out and the first mike takes 10 minutes the second mile takes you 20 minutes this is an example of

Answers

Answer:

??????

Explanation:

A marathon? Explain if you can please

as the person climbs the ladder, what happens to the magnitude of the normal contact force acting on the top end of the ladder due to the wall as long as the ladder doesn't slip?

Answers

As the person climbs the ladder, the magnitude of the normal contact force acting on the top end of the ladder due to the wall increases, as long as the ladder doesn't slip.

This is because the normal force acting on the ladder is a reaction force to the weight of the ladder and the person. As the person climbs higher up the ladder, the weight of the person+ladder system also increases. This results in an increase in the force required to maintain static equilibrium, which is provided by the normal force from the wall acting on the ladder. However, if the coefficient of static friction between the ladder and the wall is not high enough, the ladder may slip and the normal force acting on the ladder will decrease. But as long as the ladder doesn't slip, the magnitude of the normal contact force acting on the top end of the ladder due to the wall will increase as the person climbs higher up the ladder.

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A small 175-g ball on the end of a light string is revolving uniformly on a frictionless surface in a horizontal circle of diameter1.0 m.

Answers

Complete question:

A small 175-g ball on the end of a light string is revolving uniformly on a frictionless surface in a horizontal circle of diameter 1.0 m. The ball makes 2.0 revolutions every 1.0 s. What are the magnitude and direction of the acceleration of the ball?

Answer:

The acceleration of the ball is 78.98 m/s², directed inwards

Explanation:

Given;

mass of the ball, m = 175 g

radius of the circle, r = 0.5 m

angular speed of the ball, ω = 2 rev/s

The magnitude of the centripetal acceleration of the ball is calculated as follows;

\(a_c = \omega^2 r\\\\where;\\\omega \ is \ angular \ speed \ in \ rad/s\\\\a_c = (2\ \frac{rev}{s} \times \frac{2\pi \ rad}{1 \ rev} )^2 \times (0.5 \ m)\\\\a_c =78.98 \ m/s^2\)

The centripetal acceleration is directed inwards.

What is the mass in grams of 0.48 mol of platinum,Pt.?​

Answers

93.64 grams

Explanation:mass of platinum =number of moles x molar mass molar mass = atomic mass of any element ,0.48 ×195.084 = 93.64 grams

Other Questions
Sunlight shines in the moon ,then we see the light reflecting from the moon what is another word for reflecting ??? Choose the word that correctlycompletes the analogy.reluctant : inclined ::immaculate :A. flawlessB. blemishedC. tedious 17. The 20lb block rests on a smooth surface. A force F=(40+s2)lb, where s is in ft, acts on the block in the direction shown. If the spring is originally unstretched (s=0) and the block is at rest, determine the work done by the force F at the instant the block has moved s=2ft. a) 52.9lb.ft b) 71.6lb.ft (c) 61.1lb.f d) 82.67lb.ft 18. For the previous question determine the velocity of the block when it has moved s=2ft a) 2.2ft/s b) 3.5ft/s c) 6.2ft/s d) 10.1ft/s 19. If the 60-kg skier passes point A with a speed of 5 m/s, determine his speed when he renches point B. (the radius of the path curvature at B is 20 m ) Neglect friction. a) 10.5 m/s b) 12.11 m/s c) 14.87 m/s d) 17.21 m/s 20. For the previous question find the normal force exenod on him by the slope at this point (assume his speed is 20 m/s. a) 1.8kN b) 0.6kN c) 2.11kN d) 3.3kN Happy Limited is considering expanding its production capacity with the installation of new equipment that will cost $950000. This equipment is expected to have a useful life of 8 years, when it will be disposed of at a scrap value of $25000. Import duties on the equipment would amount to 2% of purchase price. Installation and testing costs would be $15000. To support the expanded capacity, net working capital would have to be increased by $29000. The new equipment would result in annual net operating cash inflows of $300000. Happy Limited's cost of capital is 16% and the tax rate is 25%. A. Compute initial, annual and terminal after-tax cash flows. (8 marks) B. Use the NPV method to advise Happy Limited on the effect that installing the new equipment will have on the value of the firm. (8 marks) C. Explain TWO (2) real options that may serve to reduce the risk of a capital project. when the waiter brought me the wrong orderTurn this fragment into a sentence Technician A says you should place the air ratchet setting toclockwise to loosen a fastener. Technician B says a fastenermust be set to the proper torque after using an air ratchet. Whois correct? Choose the correct form of quel to complete the following sentences: _____ fruits aimes-tu?QuellesQuelQuelleQuels How is blood flow related to lung function during exercise? (3 points)Select one:a. Blood vessels are dilated to increase the amount of oxygen carried in the blood, and the lungs work harder to meet the body's oxygen demands.b. Blood volume increases during exercise, making the body more efficient, so it is not necessary for the lungs to work as hard.c. The lungs determine the speed at which the heart pumps, so blood flows at a level that accommodates oxygen absorption in the muscles.d. The lungs expand and contract, which increases the rate of blood flow so the muscles can convert stored energy to energy for muscle movement. How many turning points are in the graph of the polynomial function?2 turning points3 turning points4 turning points TRUE OR FALSE a third party must use reasonable care and diligence to make sure that an agent is acting within the scope of his or her employment. A population has = 6 and = 2. Each score is multiplied by 10. What is the mean and standard deviation of the new distribution? variation equation and determine the quantity indicated.y varies directly as x. Determine y when x=20 and k=7 determine whether each ordered pair is a solution of y=4x-71. (2,15) 2. (4,9) A flask contains a mixture of hydrogen gas and water vapor at STP. If the pressure of the water vapor is 19.5 mmHg, then what is the pressure of the hydrogen gas?779 mmHg779 mmHg760 mmHg 760 mmHg 81.7 mmHg 81.7 mmHg741 mmHg what is the poh of 2.95 m ba(oh)2 solution? is the solution neutral, acidic, or basic? the poh of the solution is: g who was the woman who brought about the death of her father by treacherouslyremoving a specialpurple lock the point in a concerto, toward the end of a movement, when the soloist extemporaneously improvises on themes previously presented in the movement: (b) In the figure alongside, AB I BC and a - b= 10 then find the values of a and b. HELP PLS!!! AWARDING BRAINLIEST FOR CORRECT ANSWER! Assume we have a machine with 64 bit (8 byte) word size and 40 bit maximum memry address limited by the hardware. This machine has a 3 GHz clock. All instructions take 1 cycle except for floating point which takes 2 cycles, and memory instructions. It has an L1 cache but no L2 or other levels. Assume the instruction mix is 5% floating point, 25% reads and 10% writes, and every other instruction type is 1 cycle. You have a 2-way set associative, write-back cache with 64 bytes in each cache line. Write back is handled by hardware and does not involve any delays. Memory latency is 30 cycles, bandwidth is 8 bytes per cycle. You can choose between: A. 256KB cache with access cost of 1 cycle to read a word into a register, and a miss rate of 15% o B. 1MB cache with a miss rate of 5% but aaccess cost of 2 cycles for every transfer between a register and cache. For each configuration of cache, calculate: size of tag for a cache line, and size of cache addresses (both sizes in number of bits).