Using absolute magnitude and not apparent
magnitude, what is the faintest star?
A) Proxima Centauri
B) Wolf 359
C) Ross 154
D) UV Ceti

Answers

Answer 1

The faintest star based on absolute magnitude is D) UV Ceti.

Absolute magnitude is a measure of a star's intrinsic brightness, or how bright it would appear if it were located at a standard distance of 10 parsecs (32.6 light-years) from Earth.

The lower the absolute magnitude value, the brighter the star. Among the given options, UV Ceti has the lowest absolute magnitude, indicating that it is the faintest star.

Learn more about the Ceti here:

brainly.com/question/10962551

#SPJ11


Related Questions

a(n) is a rock in space when it enters a planets atmosphere it is a(n) any piece remaning after inmpact is an

Answers

A meteoroid is a rock in space when it enters a planet's atmosphere it is a meteor, any piece remaining after impact is a meteorite.

Meteoroids are small objects floating in space. They are made up of rocks, iron, and dust. In our solar system, meteoroids orbit the Sun and some planets.

When these meteoroids enter the atmosphere of earth, they become meteors. These meteors started to burn and shine due to friction.

Meteorites are the surviving un-burnt piece of meteors that hit the surface of the Earth.  

If you need to learn more about meteoroids, click here

https://brainly.com/question/3214622?referrer=searchResults

#SPJ4

What is the mass of a gold bar that has a density of 19.3 g/mL3 and a volume of 100 cm3?

Answers

Answer:

density=mass/volume

density=19.3

mass=x

volume=100

we are looking for mass so we have to change the subject formula to m=dv

which means mass is equals to density multiplied by volume

m= 19.3 x 100

which is 1930.

A girl is outside walking on level ground. First she walks 829 m to the east, then 223 m north, and finally 387 m west. What is the magnitude of her displacement? Give your answer in meters correct to at least 1 decimal place. Do not include units in your answer.​

Answers

Answer:

not enough information need more information to answer the question

how fast is the cheetah running in m/s

how fast is the cheetah running in m/s

Answers

With 4.3 m/s velocity, is the cheetah running.

velocity= distance/time

distance=27.6 m

time=6.3 s

velocity=27.6 m/6.3 s

velocity=4.3 m/s

A vector number known as velocity describes "the pace at which an item changes its location." Imagine a person moving quickly, taking one stride ahead, one step back, and then beginning from the same place each time. A vector quantity is velocity. As a result, velocity is aware of direction. One must consider direction while calculating an object's velocity. Saying that an item has a velocity of 55 miles per hour is insufficient. The direction must be included in order to adequately characterize the object's velocity. Simply said, the velocity vector's direction corresponds to the motion of an item.

To know more about  velocity visit : brainly.com/question/16379705

#SPJ9

What is the average power supplied by a 60.0 kg secretary running up a flight of stairs rising vertically 4.0 m in 4.2 s?

Answers

Answer:

9.8kW

Explanation:

Given data

Mass= 60kg

Hieght= 4m

Time= 4.2seconds

We know that the energy possessed is given as

PE=mgh

PE=60*9.81*4

PE= 2354.4 Joulse

Also, the expression for power is

Power=Energy*Time

Power= 2354.4*4.2

Power=9888.48 watt

Power= 9.8kW

satellite observation platforms began to be used about the same time that man landed on the moon. what was one of the first applications of the nimbus- 3 in 1969?

Answers

The first application of the Nimbus-3 satellite in 1969 was to observe Earth's weather patterns and collect atmospheric data. The Nimbus-3 satellite observation platform was launched in August 1969, shortly after the Apollo 11 mission.

Nimbus-3 satellite was one of the early weather satellites launched by NASA. It was one of the first satellite platforms to provide detailed observations of Earth’s atmosphere, oceans, and land surfaces. Its primary mission was to study the atmosphere, clouds, and surface temperatures from space. It was also used to measure ocean circulation and sea ice, measure ocean salinity, and observe the interaction of aerosols and clouds. It also monitored precipitation, snow cover, and the energy balance of Earth's atmosphere.

Learn more about satellite: https://brainly.com/question/8376398

#SPJ11

Running with an initial velocity of +11m/s, a horse has an average acceleration of -1.81m/s square. How long does it take for the horse to decrease its velocity to +6.5m/s

Answers

Given:

Initial velocity = 11 m/s

Average acceleration = -1.81 m/s²

Let's determine how long it takes the horse to decrease its velocity to 6.5 m/s.

Apply the equation of motion:

\(v=u+at\)

Where:

v is the final velocity = 6.5 m/s

u is the initial velocity = 11 m/s

a is the acceleration = -1.81 m/s²

t is the time in seconds.

Thus, we have:

\(\begin{gathered} 6.5=11+(-1.81)t \\ \\ 6.5=11-1.81t \end{gathered}\)

Let's solve for t.

Subtract 11 from both sides:

\(\begin{gathered} 6.5-11=11-11-1.81t \\ \\ -4.5=-1.81t \\ \\ \text{Divide both sides by -1.81:} \\ \frac{-4.5}{-1.81}=\frac{-1.81t}{-1.81} \\ \\ 2.49=t \\ \\ t=2.49\text{ seconds} \end{gathered}\)

Therefore, it took the horse approximately 2.49 seconds to decrease its velocity to 6.5 m/s

ANSWER:

2.49 seconds.

Question 5 of 20
Iron filings form a pattern around magnets. What does the pattern formed by
the iron filings around these two magnets show?
tonc
S

Answers

The pattern formed by iron filings around magnets shows the magnetic field lines produced by the magnets.

What are magnetic field lines?

Magnetic field lines are described as imaginary lines, which depict the strength and direction of the magnetic field.

The iron filings align themselves along the magnetic field lines, which helps to provide a visual representation of the field's direction and shape. The filings tend to concentrate near the poles of the magnets, where the magnetic field is stronger.

This pattern is important as it helps visualize the magnetic field and understand its characteristics, such as the shape, direction, and strength of the magnetic field produced by the magnets.

Learn more about magnetic field at:

https://brainly.com/question/14411049

#SPJ1

Which would help you perform a basketball skill well?

A) Have a friend repeat the skill for you

B) Have a friend show you how the skill is done

C) Analyze your friend's performance by reviewing the skill cues

D) Have a friend analyze your performance by reviewing the skill cues

Answers

The most reasonable answer here would be C. By you analyzing their skill cues you are able to notice and see in which parts of the performance they’re doing certain movements etc.


B

Having a coach guide you and explain the steps would be beneficial to your performance

A spring has a force of 2.0N and an extension of 0.30m. What will the extension be if the force applied is 6 N.


Will mark as brainliest

Answers

Answer:

0.9 m

Explanation:

Hooke’s Law

\(\large\boxed{F = ke}\)

where:

F is the force in newtons (N).k is the 'spring constant' in newtons per metre (N/m).e is the extension in metres (m).

Given values:

F = 2.0 Ne = 0.30 m

Substitute the given values into the formula to find k:

\(\implies 2.0=0.30k\)

\(\implies k=\dfrac{2.0}{0.30}\)

\(\implies k=\dfrac{20}{3}\; \sf N/m\)

To find the extension if the force applied is 6 N, substitute the found value of k and the given value of F into the formula and solve for e:

\(\implies 6=\dfrac{20}{3}e\)

\(\implies 18=20e\)

\(\implies e=\dfrac{18}{20}\)

\(\implies e=0.9\; \sf m\)

in a refracting telescope, the distance between the objective (focal length ) and eyepiece (focal length ) lenses satisfies:

Answers

In a refracting telescope, the distance between the objective and eyepiece lenses satisfies a certain relationship that ensures the image produced by the objective is at infinity and is used as the object for the eyepiece.

A refracting telescope consists of two lenses: the objective lens and the eyepiece lens. The objective lens produces an image of a distant object at its focal point, which is located at a distance f1 from the lens. This image is real and inverted, but it is also very small.

The eyepiece lens is placed in front of this image and produces a magnified virtual image that can be viewed by the observer. The distance between the eyepiece lens and the objective lens is called the tube length.

For the telescope to work properly, the distance between the lenses must satisfy the relationship f2 = f1/ (M-1), where f2 is the focal length of the eyepiece lens, f1 is the focal length of the objective lens, and M is the magnification of the telescope.

This relationship ensures that the image produced by the objective lens is at infinity and is used as the object for the eyepiece. It also ensures that the magnification of the telescope is equal to the ratio of the focal lengths of the two lenses.

In conclusion, the distance between the objective and eyepiece lenses in a refracting telescope satisfies a specific relationship that ensures the image produced by the objective is at infinity and is used as the object for the eyepiece.

This relationship is f2 = f1/(M-1), where f1 and f2 are the focal lengths of the objective and eyepiece lenses, respectively, and M is the magnification of the telescope. This relationship is essential for the proper functioning of the telescope and for producing a magnified, clear image of distant objects.

Learn more about refracting telescope here:

https://brainly.com/question/19349900

#SPJ11

a copper wire of length l and diameter d dissipates energy at a rate p0 when the current in the wire is 10a. a second copper wire of length l has diameter 2d. what current in the second wire would dissipate energy at a rate p0?

Answers

A current of 5 A would dissipate energy at the same rate (P0) in the second copper wire as a current of 10 A does in the first copper wire.

The power dissipated by a wire of length L, diameter d, and resistivity ρ carrying a current I is given by:

P = I² R = I² (ρ L / A)

where R is the resistance of the wire, A is the cross-sectional area of the wire (πd²/4 for a circular wire), and ρ is the resistivity of the wire material (which is assumed to be constant).

For the first copper wire, we have:

P0 = I² (ρ L / A) = (10 A)² (ρ L / (πd²/4))

For the second copper wire, the length is the same (L), but the diameter is doubled (2d). The cross-sectional area is therefore four times larger (π(2d)²/4 = 4πd²/4 = πd²), and the resistivity is the same as before (since it's the same material). Let's call the current in the second wire I2. Then we have:

P0 = (I₂)² (ρ L / A) = I₂² (ρ L / (πd²))

To find I₂, we can set the two expressions for P0 equal to each other and solve for I₂:

(10 A)² (ρ L / (πd²/4)) = I₂² (ρ L / (πd²))

Simplifying, we get:

I₂² = (10 A)² (πd²/4) / (πd²) = 100 A² / 4 = 25 A²

Taking the square root, we get:

I₂= 5 A

learn more about power and current here :

brainly.com/question/14625200

#SPJ4

Which change increases the electric forcWhich change increases the electric force between objects?e between objects?

Answers

The electric force increases because the amount of charge has a direct relationship to the force. ... Electrons are added to two negatively charged objects. Hope it helps

Answer:

b

Explanation:

An automobile of mass 1500 kg is moving at 15 m/s. What
average net forward force is required to accelerate the
automobile to 25 m/s over a distance of 100 m?

Please I beg you help me

Answers

Answer:

Explanation:

m = 1500 kg

u = 15 m/s

v  = 25 m/s

s = 100 m

\(v^{2} = u^{2} + 2as\)

\(25^{2} = 15^{2} + 2a\) × 100

625 = 225 + 200 a

-200a = 225 - 625

-200a = -400

a = 400 / 200

a = 2 m/s

f = ma

f = 1500 × 2

= 3000 N

Hope this helps

plz mark as brainliest!!!!!

The quantity that is the same at all points in a series circuit is: current voltage power resistance

Answers

Answer:

On this page, we'll outline the three principles you should understand regarding series circuits: Current: The amount of current is the same through any component in a series circuit. Resistance: The total resistance of any series circuit is equal to the sum of the individual resistances

The quantity that is the same at all points in a series circuit is the current. The correct option is option (1).

The current in a series circuit is constant all the way around. This means that the same amount of current flows through each component, such as resistors, lamps, or other devices, connected in series.

The current is measured in units of amperes (A) and is determined by the voltage applied to the circuit and the total resistance in the circuit according to Ohm's law (I = V/R).

Therefore, The quantity that is the same at all points in a series circuit is the current. The correct option is option (1).

To know more about the current:

https://brainly.com/question/15141911

#SPJ4

A pendulum with a period of 2.00000s in one location (g=9.80 m/s²) is moved to a new location where the period is now 1.99796s. What is the acceleration due to gravity at its new location?​

Answers

Answer:

9.8m/s²

Explanation:

because you you can see that acceleration due to gravity is always equals to 9.8 m per second square

determine the magnitude and location of the resultant of the distributed load. (round the resultant to the nearest whole number and the location to two decimal places.) (you must provide an answer before moving to the next part.) the magnitude of the resultant is n. the location of the resultant x⎯⎯⎯ is m.

Answers

The magnitude and location of the resultant of the distributed load is given as

\(\bar{x}=3.4545 \mathrm{~m} \quad$\)

This is further explained below.

What is the resultant force?

Generally, In the fields of physics and engineering, a resultant force is a single force and related torque that is created by combining a system of forces and torques operating on a rigid body by vector addition. This process yields the single force and associated torque.

\($\sum F_y=0$$F_R=\frac{1}{2} \times(600+1600) \times 6=6600 \mathrm{~N}$\\\\$\sum M_2=0$\)

\($$F_R \times \bar{x}=(600 \times 6) \times\left(\frac{6}{2}\right)+(0.5 \times(1600-600) \times 6) \times\left(\frac{6 \times 2}{3}\right)\\\\$$$6600 \bar{x}=10800+12000$\\\\$\bar{x}=3.4545 \mathrm{~m} \quad$\)

Read more about the resultant force

https://brainly.com/question/16380983

#SPJ1

CQ is attached below

determine the magnitude and location of the resultant of the distributed load. (round the resultant to

5. A student rolls a marble from a lab bench and then the marble rolls off the table. The table is 91
cm high and the marble lands 50 cm from the table.
a.
What is the minimum horizontal speed the marble needs to achieve this horizontal
distance?
b. What is the vertical velocity of the marble before it hits the ground (vertical impact
velocity)?
I
6. A water bottle has a small hole which in turn causes a small leak. The leaking water shoots out
of the side of the bottle horizontally with a speed of 2 m/s. if the water bottle is held 1.5 meters
from the ground, how far out will the water travel?

Answers

The acceleration caused by gravity, or 9.81 m/s², which acts on the object, causes the projectile's vertical velocity to vary.

What is meant by vertical velocity ?

A projectile's horizontal velocity is constant (a never changing in value), Gravity causes a downward vertical acceleration with a magnitude of 9.8 m/s/s. A projectile's vertical velocity fluctuates by 9.8 m/s per second, A projectile's vertical motion exists unrelated to its horizontal motion.

The acceleration caused by gravity, or 9.81 m/s², which acts on the object, causes the projectile's vertical velocity to vary. Therefore, this choice is likewise false. As is common knowledge, an object's vertical velocity is not constant, and momentum is a function of velocity.

To learn more about vertical velocity refer to:

https://brainly.com/question/5619273

#SPJ13

a golf ball, 0.750 kg, is thrown at a billiard ball, .050 kg. the golf ball is moving at 22 m/s to the right while the billiard ball is moving 15.0 m/s to the left. what are their velocities after an elastic collision in one dimension?

Answers

In an elastic collision, both momentum and kinetic energy are conserved.

First, we need to calculate the initial momentum of both balls:

P(golf ball) = m(golf ball) x v(golf ball) = 0.750 kg x 22 m/s = 16.5 kg*m/s to the right

P(billiard ball) = m(billiard ball) x v(billiard ball) = 0.050 kg x (-15.0 m/s) = -0.75 kg*m/s to the left

Since momentum is conserved, the total momentum before the collision is equal to the total momentum after the collision:

P(total) before = P(total) after

16.5 kg*m/s - 0.75 kg*m/s = m(total) x v(total) after

m(total) = 0.750 kg + 0.050 kg = 0.8 kg

v(total) after = (16.5 kg*m/s - 0.75 kg*m/s) / 0.8 kg = 20.4375 m/s to the right

Now, we need to calculate the individual velocities of each ball after the collision. We can use the conservation of kinetic energy equation:

1/2 x m(golf ball) x (v(golf ball) after)^2 + 1/2 x m(billiard ball) x (v(billiard ball) after)^2 = 1/2 x m(golf ball) x (v(golf ball))^2 + 1/2 x m(billiard ball) x (v(billiard ball))^2

Plugging in the given values and solving for the velocities after the collision, we get:

v(golf ball) after = 38.375 m/s to the right

v(billiard ball) after = -18.9375 m/s to the left

Therefore, the golf ball is moving faster to the right and the billiard ball is moving slower to the left after the elastic collision.

To know more about elastic collision click here:

https://brainly.com/question/24616147

#SPJ11

when light bounces off a rough surface, in different directions, what is this called?

Answers

This is called: diffuse reflection

What is the mass and weight of an object on the surface of the moon, if on the earth its mass is 12kg.

Answers

The mass and weight of object on moon is 0.0138kg  and 0.0229kg .

Since force is a vector quantity, we must consider the direction in which it acts. There are two main types of frictional force: static force (Fst) and sliding force (Fsl). Normal forces (FN) produce these forces acting perpendicular to the direction of motion, although they act in the opposite direction to the object's motion.

It is equivalent to the weight of the object plus the extra weight. For example, pushing down on a block of wood on a table increases the normal force and thus the frictional force.

me=12Kg

ge=10

gm=10/6= 1.66

M=?

me ge =M gm

M=me ge/gm

M=120/1.66

M=0.0138kg

W=mg =0.0138 x 10kg

To know about weight of object on moon -

https://brainly.com/question/20594451

#SPJ4

How can you detect the hardness of water collected from different sources

Answers

Answer:

Explanation:

you can detect the hardness of water collected from different sources by using soap. Soaps can be used to check the hardness of water as it forms insoluble precipitate with hard water.

Answer:

We can detect the hardness of water taken from different sources by adding soap to it.

Explanation:

If the soap does not form micelle in the water then it will be hard water. In simple language if the soap doesnot disslove in water then it will be soft water.

Gloria is designing an experiment to investigate how different kinds of wheels accelerate down a ramp. Which is the dependent variable? ​Type of Wheel
Acceleration of Wheel
Radius of Wheel
Steepnes of Ramp

Answers

In Gloria's experiment, the dependent variable refers to the variable that is being measured or observed and is expected to change in response to the independent variable. The independent variable is the variable that is deliberately manipulated or changed by the experimenter.

In this case, Gloria is investigating how different kinds of wheels accelerate down a ramp. The dependent variable in her experiment would be the "Acceleration of Wheel." This is because Gloria is interested in observing and measuring how the wheels accelerate, which is the outcome or result she wants to analyze.

The independent variable, on the other hand, would be the "Type of Wheel." Gloria is deliberately changing and manipulating the type of wheel used in her experiment to see how it affects the acceleration. By comparing the acceleration of different types of wheels, she can determine whether the type of wheel has an impact on the acceleration down the ramp.

The other variables mentioned, "Radius of Wheel" and "Steepness of Ramp," are not specifically mentioned in the question as potential variables that Gloria is investigating. Therefore, they are not relevant to determining the dependent variable in this particular experiment.

To know more about Experiment visit-

brainly.com/question/30712062

#SPJ11

There are 30 students in Ms. Andrews’ fourth grade class. There are 6 times as many students in the entire fourth grade as there are in Ms. Andrew’s class. Which equation can be used to determine the number of students, n, in the entire fourth grade? *

6 x n = 30
6 + 30 = n
30 x 6 = n
30 ÷ n = 6

Answers

Answer:

30×6=n

Explanation:

30 students in her class× 6 = number of students in the entire 4th grade.

Use the table of electric force between objects in two different interactions to answer the question. Interaction Charge on Object 1 (C) Charge on Object 2 (C) Amount of Force A +1 -2 weak B +1 +2 strong Which conclusion about the interactions is correct? (1 point) O The objects in interaction A are farther apart than in interaction B. O The objects in interaction A are smaller than in interaction B O Positive charges are stronger than negative charges. O Repulsive forces are stronger than attractive forces. Type here to search​

Answers

Answer:

The objects in interaction A are farther apart than in interaction B.

The objects in interaction A are farther apart than in interaction B.

What is coulomb's law?

According to Coulomb's law: The magnitude of each of the electric forces with which two point-at-rest charges interact is directly proportional to the product of the magnitude of both charges.

And inversely proportional to the square of the distance that separates them and has the direction of the line that joins them.

The formula will be given as:

] \(F=\dfrac{kq_1q_2}{r^2}\)

Intersaction A is having weak force since the magnitude of the force is same in both interaction A and B from the formula of force the force is also dependent on the distance between the charge.

Thus the weak force in the interaction A is due to the higher distance between the two charges.

To know more about the coulomb's law, follow

https://brainly.com/question/66110

which person is known as the father of modern rocketry?

Answers

The person who is known as the father of modern rocketry is Robert H. Goddard.

The world's first liquid-fueled rocket was developed and built by Robert Hutchings Goddard, an American engineer, lecturer, and inventor who lived from October 5, 1882, to August 10, 1945. Goddard's rocket was successfully launched on March 16, 1926, ushering in an era of invention and space travel. Between 1926 and 1941, he and his team fired 34 rockets, reaching speeds of up to 885 km/h (550 mph) and heights of up to 2.6 km (1.6 mi). Many of the innovations that would enable spaceflight were foreseen in Goddard's work as an engineer and thinker.

To know more about Robert H. Goddard

https://brainly.com/question/29555534

#SPJ11


If m=120kg and a=15m/s2, what is the force

Answers

Answer:

F= 1800N

Explanation:

the equation for force is F= ma

so plug in the numbers: F= (120)(15)

solve this to get F= 1800N

tip: don't forget to add the units when writing your answer :)

Cond Concept question showing the difference between charge and charge density 22.19 Consider the point P located distance d above the lef end of a rod of length d. Assume the rod carries charge distributed uniformly over the length of the rod. For this sinuation, assume the rod produces electric field vector E
0

at the point P. a) How does the field change if rod length is doubled using the same amount of charset? Assume the point P is still located distance d above the left end of the rod. b) How does the ficld change if rod length is doubled using the same amount of charge densin? Asume the point P is still located distance d above the left end of the rod.

Answers

In first scenario, the electric field vector's magnitude would be halved. In second scenario, the electric field vector's magnitude at point P would be doubled.

Charge and charge density are two concepts of electricity, and the following are the differences between them:

Charge: Charge is a property of matter that causes it to experience electrical and magnetic phenomena. It is the fundamental quantity that is responsible for electric phenomena. The SI unit of charge is Coulomb (C), and its symbol is ‘Q’. The charge of an object can be positive or negative or neutral. The charge on an object is measured using an electrostatic balance or an electroscope.

Charge Density: Charge density refers to the amount of charge per unit volume or unit area of a substance. Charge density is the amount of charge per unit length on a given rod. Its SI unit is Coulomb per meter cubed (C/m³). The charge density on an object can be either uniform or non-uniform, i.e., it may be constant over the surface area or may vary throughout it. An electric field vector E is produced by a rod carrying a charge distributed uniformly over the length of the rod. Let the magnitude of the charge be Q. Now, let us consider the following scenarios:

a) How does the field change if rod length is doubled using the same amount of charge?

Assume the point P is still located distance d above the left end of the rod. In this situation, if the rod's length is doubled, the charge will remain the same. Since the charge is distributed uniformly, the charge per unit length would be half of the initial value.

Therefore, the electric field vector's magnitude would be halved.

b) How does the field change if rod length is doubled using the same amount of charge density? Assume the point P is still located distance d above the left end of the rod.In this situation, if the rod's length is doubled, the charge density will remain constant. So, the total charge on the rod will be doubled, and the charge per unit length will remain constant.

As a result, the electric field vector's magnitude at point P would be doubled.

Learn more about electric field visit:

brainly.com/question/11482745

#SPJ11

Remember that work (J) = force (N) * displacement (m)

An object is tossed 24.3 meters into the air. The applied force is 15.9 N. What is the resulting work?

A. 1.5 j
B. 386.4 j
C.40.2 j
D.8.4 j

Answers

Answer: The answer to this question is B

Explanation:

From what it says, you need to multiply both N and M . Do the math and you will get 386.37. Then round it. Therefore, your answer is B

a roller coaster starts from rest at the top of the hill. what is the speed of the cart at the bottom of the 25 meter height location, if frictional work provided -5,506 j of energy throughout the path taken? the mass of the cars people is 198 kg?

Answers

The speed of the roller coaster at the bottom of the 25-meter height location hill is 29.53 m/s.

To determine the speed of the roller coaster at the bottom of the hill, you need to use the conservation of mechanical energy formula.

The formula is given as follows; KEi + PEi + Wnc = KEf + PEf

Where KEi is the initial kinetic energy,

PEi is the initial potential energy,

Wnc is the work done by non-conservative forces,

KEf is the final kinetic energy, and PEf is the final potential energy.

Since the roller coaster starts from rest at the top of the hill, its initial kinetic energy is zero (KEi = 0).

Thus, the conservation of mechanical energy formula can be rewritten as follows; PEi + Wnc = KEf + PEf

Solving for KEf, we get; KEf = PEi + Wnc - PEf

Substituting the values given; PEi = mgh = 198 kg × 9.8 m/s² × 25 m = 48,705 J

PEf = 0

Wnc = -5,506 J

KEf = 48,705 J - 5,506 J - 0KEf = 43,199 J

Since KE = 1/2mv², we can find the final velocity of the roller coaster as follows;

KEf = 1/2mv²v² = 2KEf / mv² = 2(43,199 J) / 198 kgv² = 873.68v = √873.68v = 29.53 m/s

Therefore, the speed of the roller coaster at the bottom of the hill is 29.53 m/s.

To know about speed, refer here:

https://brainly.com/question/30200299#

#SPJ11

Other Questions
what charge does al typically have in ionic compounds, and why? responses 1 , because in the ground state it has one unpaired electron. 2 , because it has two electrons in the 2s subshell. 3 , because it has three valence electrons4 , because it is in the fourth row of the periodic table. fill in the blank. A summer berm is formed by gentle waves in spring and summer, whereas a(n) ____, or storm berm is formed higher up on the beach by strong storm waves. which statement about apprenticeships is true?multiple choicea. an apprenticeship does not include any classroom training methods.b. an apprenticeship cannot be sponsored by groups outside the firm.c. an apprenticeship is mostly used for teaching management and interpersonal skills.d. an apprentice can earn an income while learning a trade.e. an apprenticeship does not offer hands-on learning and practice. ASSIGNMENT QUESTION Several scholars have contested the use of the service recovery paradox as a viable strategy for service organization despite its benefits. Drawing on this statement, you are to advise your manager who has taken an entrenched position to only rely on the service recovery paradox to boost his loyal customer base on the pros and cons of the service recovery paradox as a marketing strategy for service organizations. Support your answer with relevant examples and illustrations. Find the first term and the common difference of the artymotic sequence described Give a recursive formula for the sequence Find a formula for the interm Sth term is 7 22nd torm is 75 What is the first term of the sequence? What is the common difference? What is the recursive formula for the sequence? - 0 az What is the formula for the nth term of the sequence? If the 0. 100-mm diameter tungsten filament in a light bulb is to have a resistance of 0. 200 at 20. 0oc , how long should it be? identify whether each of the following statements best illustrates the concept of consumer surplus, producer surplus, or neither. statement consumer surplus producer surplus neither yesterday i paid $51 for a crew neck. today, the same store is selling crew necks for $45. i sold a used record for $43, even though i was willing to accept as little as $36 in exchange for it. even though i was willing to pay as much as $55 for a swimsuit, i bought a swimsuit for just $47. the 18 degree region of the sky center on the ecliptic is called?equational zonecircumpolar zonezentihconstellationzodiac An essential component of an information system, _____, is defined as facts or observations about people, places, things, and events.An information system consists of people, procedures, hardware, software, and _____.In addition to numbers, letters, and symbols, _____ also includes video, audio and photographs. "In your own words, distinguish between conforming andnon-conforming residential mortgage loans and explain theimportance of the difference." Which of the following statements would be included in a separate report of an entity's internal control over financial reporting for an integrated audit of a nonissuer? Enter Choice here (if any) A. Only those controls the auditor intends to rely on were reviewed, tested, and evaluated. B. The study and evaluation of the internal controls was conducted in accordance with generally accepted accounting principles. C. The establishment and maintenance of the internal controls is the responsibility of management. D. Distribution of the report is restricted for use only by management and the board of directors. SHOW CORRECT ANSWER Please label the following statements as T (true) or F (false).1. Loading errors are systematic uncertainty.2. Resolution uncertainty is usually treated as random uncertainty.3. The mass balance in the lab has a resolution of 1 g.4. The Fluke 45 multi-meter reads faithfully at a frequency of 2 Hz.5. For the function generator in the lab, a range under 20 kHz range button with a dial position 1.2 gives a wave with frequency of about 12 kHz.6. Regression analysis is limited to linear regression.7. In the Displacement and Strain lab, the surface (fiber) stress is measured by the strain gage.8. A gage factor of 2.0 is used in the strain gage in the Displacement and Strain lab.9. The proximity probe is used to verify the Euler-Berboulli Beam theory while the strain gage is used to verify Hooks law in our Displacement and Strain lab.10. The proximity probe in the lab is powered by 15 VAC. Coleton forms a three-asset portfolio consisting of $13,000 in T-Bills, $18,000 in Peyton stock, and $16,000 in Manning stock. If Peyton's beta is 0.59 and Manning's beta is 1.20, what is the beta of Coleton's overall portfolio? Keep 4 decimal places in intermediate steps and show 2 decimal places in your final answer. calculate the expected value e(x) of the given random variable x. x is the number of tails that come up when a coin is tossed 10 times. e(x) You currently are spending $80/year renting a pressure washer to clean your house. The cost of a new pressure washer is $240. If you bought the pressure washer, how many years would it take to obtain full payback on your original investment relative to renting (use a simple payback calculation). Note: Simple payback is a useful, but simplistic way to evaluate a purchasing decision that does not consider the time value of money. A quick payback implies a better deal, while a slower payback is not as good. A. 3 years B. 4 years C. 5 years D. 10 years John is 28 years old and plans to retire at 67. He wants to have a fund at 67 that will let him spend $4,500 a month after retirement, and last for 45 years. Assume a continuous money flow. Answer the following. Round your answers (at the last step) to integers. (a) Suppose that after his retirement John puts the money in a fund paying interest at an annual rate of 4.2%, compounded continuously. Then John will need $ for his retirement (b) Suppose that John starts to invest a fixed amount each month from now until he retires, in a fund that pays interest at an annual rate of 6.2%, compounded continuously. Then he should invest $ each month Which of the following events was the most significant change to the balance of powers depicted on the map?The Napoleonic WarsThe Congress of ViennaGerman and Italian unificationThe Russian Revolution Fiona, the manager of a retail store, wants to know whether she is maximizing her return on space investment. She will have to calculate the _____ for the area of the store. A. sales per employee B. sales per square foot C. QR correlation coefficient D. return on investment E. cost-benefit ratio lab 4: newton's second law: the atwood machine pre-lab questions: 1. what happens to the acceleration of our system when the mass of the system increases but the net force stays constant? 2. what happens to the acceleration of our system when the net applied force increases but the mass of the system does not change? 3. explain, in your own words, potential sources of error in today's experiment. Calculate e (7.x - 3x) dx The solution to any indefinite integral of the type given above will always have a constant (+C) in it, eg. ff(x) dx = F(x) + C, however, for this exercise only include F(x) in the solution space below. F(x) =