energy conservation with conservative forces: a 60-kg skier pushes off the top of a frictionless hill with an initial speed of 4.0 m/s. how fast will she be moving after dropping 10 m in elevation? air resistance is negligible.

Answers

Answer 1

As stated in the query, 14.57 m/s is the velocity at which one would go after descending 10 m in height.

What exactly is a frictionless encounter?

A Frictionless Guest Experience: What Is It? Any stage in a customer's relationship with a business where they experience friction is when they run into a roadblock that brings them down or makes them unhappy. Customer gives seamless service, in the simplest fundamental way, entails monitoring their path and improving their encounter.

Briefing:

Here we can use the concept of mechanical energy conservation

Ui + KEi = Uf + KEf

mgh₁ + 1/2 mv²i = mgh₂ + 1/2 mv²f

Now we know that,

vi = 4m/s

m = 60kg

h₁ = 0m

h₂ = -10m As its going down

now from above equation we will have

n + 1/2(60)(1)² = (60)(9.81)(-10)+1/2(60)v²f

180 = -5886 + 30v²f

v²f = 212.2

vf = 14.57m/s

So his speed will be 14.57m/s

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Related Questions

Now consider a wave which is paired with seven other waves into seven pairs. The two waves in each pairing are identical, except that one of them is shifted relative to the other in the pair by the distance shown:
%u2212(1/2)%u03BB 2%u03BB %u22125%u03BB (3/2)%u03BB 0 (17/2)%u03BB (6/2)%u03BB Identify which of the seven pairs will interfere constructively and which will interfere destructively. Each letter represents a pair of waves.
Enter the letters of the pairs that correspond to constructive interference in alphabetical order and the letters of the pairs that correspond to pairs that interfere destructively in alphabetical order separated by a comma. For example if pairs A, B and D interfere constructively and pairs C and F interfere destructively enter ABD,CF.

Answers

The pair BCEG will interfere constructively, while the pair ADF will interfere destructively.

Constructive and destructive interference:

For interference, the waves must be coherent.

Two coherent waves interfere constructively when the path difference is equal to an integral multiple of the wavelength.

That is the path difference must be mλ

where m = 0,1,2,3.... is an integer and λ is the wavelength

So pair BCEG interfere constructively

Two coherent waves interfere destructively when the path difference is equal to a half-integral multiple of the wavelength.

That is the path difference must be (m+1/2)λ

where m = 0,1,2,3....   is an integer and λ is the wavelength

Therefore, the interference is in the pair ADF which is interfere destructively.

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[NOTE: THE COMPLETE QUESTION IS:

Now consider a wave which is paired with seven other waves into seven pairs. The two waves in each pairing are identical, except that one of them is shifted relative to the other in the pair by the distance shown: A. -(1/2) ?B. 2?C. -5?D. (3/2)?E. 0F. (17/2)?G. (6/2)?Identify which of the seven pairs will interfere constructively and which will interfere destructively. Each letter represents a pair of waves. Enter the letters of the pairs that correspond to constructive interference in alphabetical order and the letters of the pairs that correspond to pairs that interfere destructively in alphabetical order separated by a comma. For example if pairs A, B and D interfere constructively and pairs C and F interfere destructively enter ABD,CF.]

The pair BCEG will interfere constructively, while the pair ADF will interfere destructively.

From the question, we have

When the path difference is equal to an integral multiple of the wavelength, two coherent waves interact positively.

That is the path difference must be mλ

where m = 0,1,2,3.... is an integer and λ is the wavelength

Hence, the pair BCEG interfere constructively

Two coherent waves interfere destructively when the path difference is equal to a half-integral multiple of the wavelength.

That is the path difference must be (m+1/2)λ

where m = 0,1,2,3....   is an integer and λ is the wavelength

Hence, the pair ADF interfere destructively

Interference:

Interference is what happens when two or more waves meet each other. Depending on how the peaks and troughs of the overlapping waves line up, they may add up or may partially or completely cancel one another. According to the definition of interference, it is the phenomenon in which two or more waves combine to create a new wave that has a bigger, smaller, or the same amplitude.

Complete question:

Now consider a wave which is paired with seven other waves into seven pairs. The two waves in each pairing are identical, except that one of them is shifted relative to the other in the pair by the distance shown: A. -(1/2) ?B. 2?C. -5?D. (3/2)?E. 0F. (17/2)?G. (6/2)?Identify which of the seven pairs will interfere constructively and which will interfere destructively. Each letter represents a pair of waves. Enter the letters of the pairs that correspond to constructive interference in alphabetical order and the letters of the pairs that correspond to pairs that interfere destructively in alphabetical order separated by a comma. For example if pairs A, B and D interfere constructively and pairs C and F interfere destructively

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when a particular metal is illuminated with photons, one electron is observed for each absorbed photon. what effect would decreasing the wavelength and number of photons have on the electrons leaving the surface?

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The numbers of electrons leaving the surface would decrease if number of photons and wavelength will be decreased.

Since, number of electrons ejects out from the surface which is expose to photons attack is totally dependent on the amount of photons striking that open area in per unit time.

When count of photons would decrease, in that case count of those  photons which have frequency greater than the threshold frequency will be lesser and due to that count of electrons will also decrease.

Similarly, photons which are able to eject the electrons from the surface have certain wavelength which is greater than threshold wavelength. In that case  count of photons which are able to eject out the electrons will also decrease.

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During a protostar's T Tauri phase, it
a. begins a period of reduced activity.
b. expands dramatically.
c. may develop very strong winds.
d. changes its spin direction.
e. lies on the main sequence.
c

Answers

During a protostar's T Tauri phase, it may develop very strong winds.

The prostate is placed just underneath the bladder and in front of the rectum. it is about the size of a walnut and surrounds the urethra (the tube that empties urine from the bladder). It produces fluid that makes up part of semen. As a person has a long time, the prostate tends to increase in size.

Acute prostatitis is generally triggered when bacteria within the urinary tract enter the prostate. The urinary tract includes the bladder, kidneys, the tubes that join the kidneys to the bladder (ureters), and the urethra.

The prostate performs an essential function in male fertility and intercourse existence. although men can survive without a prostate, unfortunately, for lots of men, prostate elimination outcomes in terrible nice of existence, issues like erectile dysfunction, and more.

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lc circuit, part h 0 points possible (ungraded) what is the current in the circuit when the magnetic energy stored in the coil is exactly equal to the electric energy stored in the capacitor?

Answers

The magnetic field that is created around the inductor is where this energy is actually kept. Again, think about the circuit we created with two coils wound on base of one another.

, what is an energy?

Energy is characterized as having the "ability to accomplish effort, which is the capacity to apply a force sufficient to move an object." Despite this unclear definition, the concept is actually quite straightforward: energy is merely the force that moves objects. Potential and kinetic energy are the two different categories.

What makes energy crucial?

Because it is a fundamental human requirement, energy is crucial to our daily activities. Not only do we utilize energy to heat the buildings we have built, but we also use it to cool them. In order to get out of bed, walk down the street, or even lift your finge, you need energy.

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. the magnetic field at a distance of 2 cm from a current carrying wire is 4 μt. what is the magnetic field at a distance of 4 cm from the wire? a) 1/2 µt

Answers

The magnetic field at a distance of 4 cm from the wire is B'=2 μT.

What is magnetic field?

The magnetic impact on moving electric charges, electric currents, and magnetic materials is described by a magnetic field, which is a vector field. A force perpendicular to the charge's own velocity and the magnetic field acts on it while the charge is travelling through a magnetic field.

Given that

Distance ,d= 2 cm

magnetic field ,B=  4 μT

we know that magnetic filed at a distance d is given as

[tex]B=\frac{\mu I}{2 \pi d}----1[/tex]

I=Current

When the distance become 4 cm

d' = 4 cm

d'= 2 d

[tex]$$\begin{aligned}B^{\prime} & =\frac{\mu I}{2 \pi d^{\prime}} \\B^{\prime} & =\frac{\mu I}{2 \pi \times 2 d}--2\end{aligned}$$From equation 1 and 2$$\begin{aligned}& \frac{B^{\prime}}{B}=\frac{\frac{\mu I}{2 \pi \times 2 d}}{\frac{\mu I}{2 \pi \times d}} \\& B^{\prime}=\frac{B}{2} \\& B^{\prime}=\frac{4 \mu}{2} T\end{aligned}$$[/tex]

B'=2 μT

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the density of a test gas is to be determined experimentally at 303.2k using an apparatus constructed of a 3.000 l glass bulb volume

Answers

14.286 g/L is the density of a test gas determined experimentally.

What is density ?

Density of a substance is defined as the mass of the substance per unit volume i.e. Density= mass/ volume.

Solution:

Given

temp=303.2k

volume of glass bulb =3.000 l

Mass =21.072 g

hence the density will be = mass/ volume

When test gas is filled the mass will increase due to pressure of  0.0750 atm to 21.310 kg

Hence

density= 21.310-21.072/3.000

density =14.286 g/L

Hence, 14.286 g/L is the  density of a test gas determined experimentally.

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I understand your complete question, which is :

The density of a test gas is to be determined experimentally at 302.2 K using an apparatus constructed of a 3.000 L glass bulb volume that is attached to a vacuum pump. The mass of the bulb  when vacuumed is 21.072 g.?

An old version of stellar evolution, popular at the beginning of the twentieth century, maintained that stars begin their lives as large, cool spheres of gas, like the giant stars on the H-R diagram. They then contract and heat up under the pull of their own gravity to become hot, bright blue O stars. For the remainder of their lives they lose energy, becoming dimmer and redder with age. As they slowly move down the main sequence, they eventually end up as cool, dim red M stars. Explain how observations of stellar clusters, plotted on the H-R diagram, contradict this idea.

Answers

Every star goes through distinct evolutionary stages that are determined by its internal structure and method of energy production depending on its initial mass. The temperature and luminosity of the star change with each of these stages, and as the star develops, it can be seen moving to various locations on the HR diagram.

One of the most crucial tools for studying stellar evolution is the HR diagram, also known as the Hertzsprung-Russell diagram (HR diagram). It was independently created by Ejnar Hertzsprung and Henry Norris Russell in the early 1900s and plots either the colour of stars (or spectral type) against their absolute magnitude or the temperature of stars against their luminosity.

The HR diagram is dominated by the main sequence, which extends from the upper left (hot, luminous stars) to the bottom right (cool, faint stars). In their cores, stars spend about 90% of their lives converting hydrogen to helium.

In the area above the main sequence, red giant and supergiant stars of luminosity classes I through III can be found. The Stefan-Boltzmann law states that because of their low surface temperatures and high luminosities, they also have large radii. Once a star's core has run out of hydrogen fuel and has begun to burn helium and other heavier elements, it enters this stage of evolution.

Low-mass stars reach their final evolutionary stage as white dwarf stars (luminosity class D).

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3. an object starts from rest and accelerates forward at a rate of 8.3 m/s/s. how far will the object move in 3 seconds of travel? (3 pts)

Answers

Distance equals 1/2(a) (t) 2. How far an object will go in 3 seconds if it accelerates forward at a speed of 8.3 m/s/s from rest: Distance = 1/2(8.3)(52), Distance = 103.75m.

What does the word "accelerates" mean?

To accelerate one's movement; to gather up speed. The car started to speed up gradually. Recently, the pace of change has accelerated, making it necessary to follow a fast educational curriculum and go through the grades more quickly than is typical. verb in motion

Does "moving" imply "accelerating"?

Acceleration is the general term for any process where the velocity changes. There are only two ways to accelerate: either by speeding up your acceleration or by reversing your acceleration. Because velocity consists of both a speed and a direction, this is the case.

Briefing:

Distance = 1/2(a)(t)^2

Distance = 1/2(8.3)(5^2)

Distance = 103.75m

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why do you fall backward on a bus when it accelerates from rest? why do you fall forward when the driver decelerates to rest?

Answers

Due to inertia, passengers on a bus often slide backward when it suddenly starts to move.

Explain about the inertia?

The ability of matter to resist changes in velocity (speed and/or direction) is known as inertia. The first law of motion states that unless an outside force acts on an item, it will continue to move at a certain speed.

A feature of matter known as inertia is the ability to maintain either a state of rest or uniform motion in a straight line without the assistance of an external force. A body's inertia is a quality that prevents it from changing its state of motion or rest.

A body at rest or travelling in a straight line at a constant speed will continue to do so unless it is acted upon by a force, according to the law of inertia, often known as Newton's first law, a physics postulate.

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Shear Force and Bending Moment diagrams for Simply Supported Beams subjected to different types of loading
(i) Simply Supported Beam subjected to concentrated load at mid span
(ii) Simply supported beam subjected to a concentrated load placed eccentrically on the span
(iii) Simply supported beam subjected to more than one concentrated load
(iv)Simply supported beam subjected to uniformly distributed load of w per unit run over the whole span
(v)Simply supported beam subjected to a uniformly distributed load over some part of the span
(vi)simply supported beam subjected to two couples.

Answers

The following are the diagrams:

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(i) Simply Supported Beam subjected to concentrated load at mid span

(ii) Simply supported beam subjected to a concentrated load placed eccentrically on the span

(iii) Simply supported beam subjected to more than one concentrated load

(iv)Simply supported beam subjected to uniformly distributed load of w per unit run over the whole span

(v)Simply supported beam subjected to a uniformly distributed load over some part of the span

(vi)simply supported beam subjected to two couples.

These all are explained through the given diagrams:

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which lighting method has most of the light from the light source reflected away from the camera, with the light usually at an angle of less than 45 degrees or focused off the object

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Diffused lighting method has most of the light from the light source reflected away from the camera, with the light usually at an angle of less than 45 degrees or focused off the object.

What is Diffused lighting method ?

Light that has been filtered by something is known as diffused light or soft light. Diffused sunlight passes through a sheer curtain. Compared to the direct light of a bare bulb, the light that comes from behind a lampshade is diluted. The light is softened and dispersed by the lampshade. Golden hour, for instance, has softer sunlight because the sun is at an angle and the surrounding environment works as a diffuser.

Similar to this, a diffusion sheet can be used to filter the harsh light from the sun or another light source to create a soft, uniform glow that complements any time of day.

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A runner accelerates toward the finish line. Identify the action force in the example.

Answers

The runner's feet pressing against the ground serves as the example's action force.

Describe a force.

A push or pull of an item or physical body may be described as a force. This change in motion, known as acceleration, often arises from the interaction of the object or physical body with another.

Newton's Second Law of Motion states that a physical body's acceleration and mass have a significant impact on the force acting on it.

An example of an action force in this situation is the pressure put on the ground by the runner's feet as they sprint faster toward the finish line.

The runner's feet pressing against the ground serves as the example's action force.

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What's the temperature 32 degrees Fahrenheit in degrees Celsius?


A)

20°C

B)

0°C

C)

–10°C

D)

10°C

Answers

Answer:B) 0

Explanation:

an astronaut on mars (mass 6.42×1023kg , radius 3.39×106m ) launches a probe straight upward from the surface at 3.00×103m/s . what is the maximum height above the surface that the probe reaches? neglect air resistance and the gravitational pull of the two small moons of mars.

Answers

Answer:

H = 1 200 km

Explanation:

Given:

M = 6.42·10²³ kg

R = 3.39·10⁶ m

V₀ = 3.00·10³ m/s

______________

H - ?

Acceleration of free fall on Mars:

g = G·M / R²

g = 6.67·10⁻¹¹·6.42·10²³/ (3.39·10⁶)² ≈ 3.73  m/s²

The maximum height above the surface that the probe reaches:

 H = V₀² / (2·g)

H = (3.00·10³)² / (2·3.73) ≈ 1 200 000 m = 1 200 km

which force, in real life, will have the least effect on a bowling ball rolling down a lane toward bowling pins?(1 point)

Answers

In reality, a bowling ball travelling down a lane toward bowling pins will be least affected by magnetic force.

What is force ?

In terms of a physical action or movement, force is essentially a push or pull that acts on an item or energy. When two things come into contact, it occurs. Additionally, a body is in motion when it is moving.

Electromagnetic force is a result of charge motion, which also produces magnetic force. When electrically charged particles are in motion, a magnetic force, attraction, or repulsion results from their motion. It is the fundamental force behind phenomena like how electric motors operate and how magnets are drawn to iron.

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a 1.2 m long beam is free to rotate about its left end. what force f must be applied at the right end for the beam to not rotate?

Answers

The force f must be applied at the right end for the beam to not rotate is

F = 475 N.

Solution:

1.2f = 980 x 0.5 + 320x 0.25

F = 475 N.

Theoretically, when two or more parallel forces are applied to a horizontal beam the beam can be balanced by applying one force equal and opposite to the resulting R. increase. The balance of downward forces must be equal and opposite to their resultant force.

Torque is a measure of the force that rotates an object about an axis. Torque causes an object to undergo angular acceleration in the same way that force accelerates an object in linear kinematics. Torque is the rotational equivalent of force. Therefore, the net torque causes the object to rotate with angular acceleration.

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how does a period of extremely fast inflation very early in the history of the universe explain the observation that the geometry of the universe looks flat (not curved) to us?

Answers

The observation that the geometry of the universe looks flat (not curved) to us is inflation increased the size of the universe so much that the resulting universe looks flat from any point of view

What caused inflation in the early universe?

It is presently thought that the cause of the discovery is that space itself is expanding, and that it expanded very rapidly in the first fraction of a second following the Big Bang, based on a significant amount of experimental observation and theoretical work.

The cosmos initially expanded faster than the speed of light (light's speed restriction only applies to objects within the universe). Its early chaos was smoothed out as a result, and it also meant that distant portions that are today far apart were once in close proximity and could exchange heat.

And it undoubtedly did. That was in the first nanosecond of the universe's existence, during the era of inflation.

The complete question is : How does a period of extremely fast inflation very early in the history of the universe explain the observation that the geometry of the universe looks flat (not curved) to us?

a. during inflation a lot of the mass drained out of the universe, leaving its gravity much weaker

b. inflation increased the size of the universe so much that the resulting universe looks flat from any point of view

c. inflation led to the production of so much dark matter that the universe got pulled into the shape of a black hole

d. inflation caused the temperature of different parts of the universe that can't see each other still be the same

e. The universe is actually highly curved and not flat

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if the distance between two charges is tripled, what will happen to the force between the charges? (3 points)

Answers

The force exerted between two electric charges is inversely proportional to their squared distance, according to Coulomb's Law. The force will therefore weaken by a factor of 9 if the distance is tripled.

How does Coulomb's law work?

Describe Coulomb's Law. Coulomb's law states that the force of attraction or repulsion between positively colliding bodies is inversely proportional to the square of the length between them and directly proportional towards the product of their charges.

What three elements combine to form Coulomb's law?

A non-contact attraction that works over a specified distance is called charged object interaction. Distance, charge, and distance. Every electrical connection requires force, which highlights how important these three elements are.

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each of the following statements is best associated with one of the four major geological processes. drag each statement into the correct bin for its associated process.

Answers

The natural forces that mold the planet's surface are geological processes. These processes take place over millions of years and thousands of kilometers at enormous scales.

Impact Catering

Impact Catering mainly took place during the intense bombardment. It is comparable ways across all solid worlds.

Volcanism

Volcanism fashioned the silky lunar maria. eliminated almost all of Io's craters. responsible for the waters and atmosphere on Earth.

Tectonics

This geological process concerns the motion of plates on Earth. This

includes the compression of the surface that creates mountains.

Erosion

Features sculpted by wind are included in erosion.

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if a roller coaster has a min speed of 12,/s, what does the radius of curvature need to be at the top of a loop to ensure that passengers stay safely in the ride

Answers

The radius of the curvature will be 1.49 m. Because to balance the passengers safely, acceleration due to gravity (mg) should be equally balanced by centripetal force (Fc).

What is Centripetal force?

The force applied to an item in curved motion that is pointed toward the axis of rotation or the centre of curvature is known as a centripetal force.

[tex]F = \frac{Mv^{2}}{r}[/tex]

What is acceleration?

It is a vector quantity that can be described as the speed at which an object changes its speed. When an object's velocity changes, it is said to be accelerating.

What are the calculations?

[tex]F_{c} = m a_{c} \\mg = ma_{c} \\g = a_{c} \\9.8 m/s = a_{c} \\V = 12 m/s (given)\\a_{c} = \frac{V^{2} }{r} * r\\V = \sqrt{a_{c} r } \\12 m/s = \sqrt{9.8* r} \\\frac{12}{9.8} ^{2} = r\\\\1.49 m = r[/tex]

Hence, the radius of the curvature will be 1.49 m.

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35 grams of salt is dissolved in 500 grams of total solution. What is the percent by mass of salt?

Answers

The percentage by mass of the salt in the solution is 7%

How do I determine the percentage of the salt?

Percentage composition can be obtained by using the following formula:

Percentage = (mass of solute / mass of solution) × 100

Now, we shall determine the percentage of the salt as illustrated below:

Mass of salt = 35 gramsMass of solution = 500 gramsPercentage of salt =?

Percentage = (mass of solute / mass of solution) × 100

Percentage of salt = (35 grams / 500 grams) × 100

Percentage of salt = 7%

Thus, we can conclude that the percentage of the salt is 7%

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a uniform block of granite in the shape of a book has face dimensions of 18 cm and 13 cm and a thickness of 1.2 cm. the density (mass per unit volume) of granite is 2.64 g/cm3. the block rotates around an axis that is perpendicular to its face and half way between its center and a corner. its angular momentum about that axis is 0.104 kg · m2/s. what is its rotational kinetic energy about that axis?

Answers

The rotational kinetic energy is 0.62 J.

How do you find rotational kinetic energy?The rotational kinetic energy, also known as "rotational mass," is the moment of inertia, or "rotational mass," of a rotating rigid body or system of particles, and is given by the formula K=12I2 K = 1 2 I 2.The definition of rotational energy, sometimes referred to as angular kinetic energy, is as follows: It is the portion of an object's total kinetic energy that results from rotation. The rotational inertia and the square of the angular velocity have a direct relationship with rotational kinetic energy.Moment of inertia, I = 8.04 times 1037 kg m2, and angular velocity, omega = 7.29 times 10-5 rad per second. As a result, the rotational kinetic energy is 2.13 x 1029 J.

Step 1: Given Data

l = 20 cm = 0.2 m

w = 15 cm = 0.15 m

t = 1.2 cm = 0.012 m

ῤ = 2.64 g / [tex]cm^{3}[/tex] = 2.64 x [tex]10^{-3}[/tex] x [tex]10^{6}[/tex] kg / [tex]m^{3}[/tex]

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a vehicle with will take longer to stop. a. worn brakes b. under-inflated tires c. worn tires d. all of the above

Answers

The vehicle with take longer to stop is worn brakes , under-inflated tires and worn tires

Which braking system do you usually use to slow down your vehicle while driving?

Controlled braking is a hard braking technique that applies just the right amount of pressure to slow your car without throwing it off balance. This lets you keep both your front and back wheels effectively traction. With the cover brake technique, the change from accelerating to braking is smooth.

The master cylinder's hydraulic pressure squeezes the brake pads on either side of the rotor  cylinder acting on a caliper, which is located slightly outside the rotor and holds the brake pads. Friction between the pads and the rotor causes the car to slow down and halt.

The secret to doing this is to apply normal braking until the vehicle slows to about walking speed, at which point you should lift the brake pedal slightly to reduce the force of the brakes.

The complete question is : What are four factors that affect breaking?

a vehicle with will take longer to stop. a. worn brakes b. under-inflated tires c. worn tires d. all of the above

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one end of a string is attached to a ball, with the other end held by a student such that the ball is swung in a horizontal circular path of radius r at a constant tangential speed. at a later time, the tension force exerted on the ball remains constant, but the length of the string is decreased to r4. what is the new tangential speed of the ball?

Answers

According to the given statement Half the original speed is the new tangential speed of the ball.

Why is it called tangential speed?

Any item moving along the circular path has a linear component to its speed called tangential velocity. An object's velocity is always pointed tangentially when it travels in a circle at a distance rr from the center. Tangential velocity is the name given to this.

Is tangential speed a constant quantity?

Although the tangential velocity vector's direction changes as the item spins, the tangential speed remains constant. Note that along the circular motion's radius vector, the centripital speed is constantly moving inward. Two vectors combine to form circular motion as one of their components. The first is when anything moves forward (the tangential velocity).

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two cups are filled to the same level with water. one of the two cups has plastic balls floating in it. if the density of the plastic balls is less than that of ice, which of the two cups weighs more?

Answers

Two cups are filled to the same level with water. one of the two cups has plastic balls floating in it. if the density of the plastic balls is less than that of ice, the two cups will; tend to weighs the same.

What is density?

The mass contained in a given volume determines a material's density. Due to their tight structure and stronger intermolecular force than that of liquids and gases, solids often have denser molecules than liquids. However, compared to ice, which is a solid form of water, liquid water has a higher density.

Therefore, two cups have the same weight since the weight of the plastic ball is precisely equal to the weight of the displaced water, according to Archimedes' Principle sue to the fact that the Buoyant force need to be equal the weight of the ball.

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A 90 Kg Painter Is Standing On 4 Kg Board, Which Is 12 M Long And Suspended On Each End By A Rope. The Painter Is Standing 3 M From The Left Side, Closer To The First Rope. Q1) Find The Tension In The First Rope. Q2) Find The Tension In The Second Rope. Q3) The Painter Climbs Down From The Board, Just Before The Second Rope Suddenly Snaps. Find The instantaneous angular acceleration of the board

Answers

The board's instantaneous angular acceleration is 1.225 rad/sec, with the first rope's tension being 681.1 N and the second rope's tension being 240.1 N.

A force along a medium's length is known as tension, particularly a force carried by a flexible medium like a rope or cable. The equivalent of linear acceleration in rotation is called angular acceleration. Angular acceleration is the rate of change of angular velocity, whereas linear acceleration describes the rate of change of linear velocity.

T2*12 - 90g*3 - 4g*6 =0

T2 = 240.1N for the Second Rope's Tension

T1+T2 = 921.2

T1 = 681.1N for the first rope's tension

The board's instantaneous angular acceleration is given by T = I(alpha), which is equal to T = 4(12)^2/3 6*9.8*3/144 = alpha.

The board's instantaneous angular acceleration is equal to 1.225 rad/sec.

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The milky way galaxy is described as a disk of stars orbiting a central point on the disk. Which of these best explains why people on earth cannot see the entire shape of the milky way?.

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As stated in the preceding statement The galaxy's core has a very modest number of stars.

How do you define a galaxy?

Countless stars, solar systems, gasses, and dust make up a galaxy. Gravity binds a galaxy together. Additionally, the Milky Way, the galactic core of our galaxy, has a supermassive black hole. As you scan the stars at night for stars, you notice more stars within the Milky Way.

The number of galaxies in the universe.

The original estimate of the number of galaxies was revised in 2021 to around 200 billion galaxies (21011). The majority of galaxies are 1,000 to 100,000 parsecs in diameter (roughly 3,000 to 300,000 light years), and are separated by distances on the order of billions of light years.

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______require high temperatures and pressures to react with other elements.

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Inert gases require high temperatures and pressures to react with other elements.

What are inert gases?

A gas is considered to be inert if, under a specific set of circumstances, no chemical reactions occur. The noble gases, formerly known as the inert gases, frequently do not react with a wide variety of substances as argon and neon (at normal conditions).

Because they contain a fully filled valence shell and an electronic configuration of ns²np⁶, inert gases do not react with other chemicals.

As a result, they are referred to as noble gases and are in the periodic table's group 18.

But under  high temperatures and pressures Inert gases react with other elements.

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an astronomer has calculated the radius of a black hole to be 51.0 au by observing its period of variability in brightness. what period, in hours, did she observe?

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The astronomer will take 0.086 hours to observe the radius of the black hole.

A black hole is a place in space where gravity pulls so hard that even light cannot escape.

The astronomer has calculated the radius of a black hole to be 51.0 au by observing its period of variability in brightness.

'au' is the abbreviation for astronomical unit which is a unit of length used to measure the distance from Earth to sun.

1 au = 93 million kilometers

Also the radius is calculated on the variability in brightness, i.e. speed of light can be considered

Speed of light = 3 * [tex]10^{8}[/tex] m/s

So according to the formula of speed, time can be calculated as

time = distance / speed

time = 93 * [tex]10^{9}[/tex] / 3 * [tex]10^{8}[/tex]

time = 310 seconds

1 second = 0.0002 hour

310 seconds = 0.086 hour

The astronomer observed for 0.086 hours.

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explain the difference between the if then block and the if then else block: how does each work? how do we know which to use?

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If you want to tell a block of code to run only if a certain condition is true, use the if statement. If the same condition is false, use else to declare that a different block of code should be run.

The most fundamental control flow expression is the if-then clause. It instructs your software to run a specific chunk of code only when a specific test returns true. For instance, the Bicycle class might only permit the brakes to slow the bicycle down after it is moving.

When a "if" clause evaluates to false, an alternative path of execution is provided by the if-then-else statement. If the brakes are applied while the bicycle is not moving, you might use an if-then-else clause in the apply Brakes method to do some action.

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