A cyclist is coasting at 12 m/s when she comes to a muddy stretch with an effective coefficient of friction of 0.60. Will the cyclist be able to get out of the muddy stretch without having to pedal if it lasts 10 meters

Answers

Answer 1

The cyclist will make it since the distance  traveled by the cyclist is greater than the length of the muddy stretch.

The given parameters;

speed of the cyclist, u = 12 m/scoefficient of friction, μ = 0.6length of the muddy stretch, L = 10 m

The effective acceleration of the cyclist at the given coefficient of friction is calculated as follows;

[tex]a = \ \mu g\\\\a = 0.6 \times 9.8\\\\a = 5.88 \ m/s^2[/tex]

The distance traveled by the cyclist at the give speed and acceleration is calculated as;

[tex]v^2 = u^2 + 2as\\\\12^2 = 0 + 2(5.88)s \\\\ 11.76 s = 144\\\\ s = \frac{144}{11.76} \\\\a = 12.24 \ m[/tex]

Thus, we can conclude that the cyclist will make it since the distance  traveled by the cyclist is greater than the length of the muddy stretch.

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Related Questions

A ball is fired from a cannon at point 1 and follows the trajectory shown in the figure below. Air
resistance may be neglected. Five possible vectors are also shown in the figure; the letter E represents
the zero vector.

D
E:
C
B
a
Which vector best represents the ball's velocity at position 2?
Which vector best represents the ball's acceleration at point 2?
Which vector best represents the ball's velocity at position 3?
Which vector best represents the ball's acceleration at point 3?
du
b)
A
d)

Answers

In trajectory, acceleration vector is not the same with the velocity vector but it depends on the change in velocity. The acceleration path is perpendicular to the velocity vector path. The Correct answers are:

a.) D

b.) B

c.) C

d.) A

A Vector is a quantity that has both magnitude and direction.

Given that a  ball is fired from a cannon at point 1 and follows the trajectory shown in the figure.

a.) The vector best represents the ball's velocity at position 2 is D

b.) The vector best represents the ball's acceleration at point 2 is B

c.) Which vector best represents the ball's velocity at position 3 = C

d.) Which vector best represents the ball's acceleration at point  = A

In trajectory, acceleration vector is not the same with the velocity vector but depends on the change in velocity. The acceleration path is perpendicular to the velocity vector path.

At point 3, since the ball path is parabolic, the velocity at that point is not equal to zero but will tend to take a horizontal path.

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How much work is needed to stop a 1,110 kg car that is moving straight down the
highway at 59.0 km/h?

Answers

Answer:

382.74 kJ.

Explanation:

The work that must be done to stop an 1100 kg car travelling at 59  km/h is  - 382.74 kJ.

The work needed to stop an 1100 kilograms car moving with a velocity of  59.0 km/hr would be  147.72 kilojoules.

What is work done?

The total amount of energy transferred when a force is applied to move an object through some distance

The work done is the multiplication of applied force with displacement.

Work Done = Force * Displacement

As given in the problem we have to find out how much work is needed to stop a 1,110-kilogram car that is moving straight down the highway at 59.0 kilometers/hour

the mass of the car = 1100 kilograms

the velocity of the car = 59 kilometers/hour

KE = 0.5mv²

     =0.5×1100×(59×1000/3600)²

     = 147.72 kilojoules

Thus, the work needed to stop an 1100 kilograms car would be  147.72 kilojoules

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answer question 7 please

Answers

If the only answers are kinetic and potential, then blank 1: potential, blank 2: kinetic

What are the definitions of initial horizontal velocity and initial vertical velocity? NO LINKS! STOP SCAMMING ME CARTOKUN AND CARTERMANATOR!

Answers

Consider again the cannonball launched by a cannon from the top of a very high cliff. Suppose that the cannonball is launched horizontally with no upward angle whatsoever and with an initial speed of 20 m/s. If there were no gravity, the cannonball would continue in motion at 20 m/s in the horizontal direction. Yet in actuality, gravity causes the cannonball to accelerate downwards at a rate of 9.8 m/s/s. This means that the vertical velocity is changing by 9.8 m/s every second.hopes that helped

2Cu + 02 —> 2Cuo
In the equation above, what is the
coefficient of the oxygen molecule?
A) O
B) 1
C) 2.
D) 4

Answers

Answer:

C

Explanation:

when light reflects from a surface, there is a change in its

Answers

The answer is: none of the above.

Explanation:

When light reflects from a surface, the frequency, wavelength, and speed do not change. They remain the same.

When light reflects from a surface, there is a change in its intensity. Thus, the correct option is C.

What is Light intensity?

Light intensity is also known as luminous intensity. It is the amount of light which is falling on a surface over any given square foot or square meter in size. Light intensity can be measured in terms of lumens per square foot (foot candles) or lumens per square meter (lux).

Light intensity is affected by various factors such as surface on which the light rays strike, the medium, reflection, and the refraction of light.

When a ray of light reflects from a surface, there is a change in the intensity of light and also the speed of light in that medium.

Therefore, the correct option is C.

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Your question is incomplete, most probably the complete question is:

When light reflects from a surface, there is a change in its:

a. frequency

b. velocity

c. intensity

d. phase

What factors determine climate?

Answers

Answer:

here

Explanation:

Climate is determined by the temperature and precipitation characteristics of a region over time. The temperature characteristics of a region are influenced by natural factors such as latitude, elevation and the presence of ocean currents.

How does the diameter of a black hole (size of the event horizon) depend on the mass inside the black hole

Answers

Answer:

The greater the mass, the greater is the diameter

Explanation:

The greater the mass, the greater is the diameter. almost all galaxies contain supermassive black holes.

A guitar string has a fundamental frequency f. The tension in the string is increased by 1.70%. Ignoring the very small stretch of the string. How does the fundamental frequency change?

Answers

The characteristics of the speed of the waves in strings and the resonance allows to find the change in the fundamental frequency when changing the tension is:

 The change in fundamental frequency is: f = 1.08 f₀

The speed of the chord wave is given by the relationship between the tension and the density of the medium.

          [tex]v= \sqrt{\frac{T}{\mu } }[/tex]  

Where v is the velocity of the wave, T the tension of the string and μ the density

In a rope held at the ends, a process of standing waves occurs, two at the point where it is attached we have a node and a anti-node in the center.

             2L = n λ

Where L is the length of the chord and call the wavelength

Wave speeds are related to wavelength and frequency.

        v = λ f

We substitute.

            [tex]\sqrt{\frac{T}{\mu } } = \frac{2L}{n} \ \ f[/tex]  

For the fundamental frequency n = 1

            f₀ = [tex]f_o = \sqrt{\frac{T}{\mu } } \ \ \frac{1}{2L}[/tex]  

They indicate that the tension increases 1.70%

           T = T₀ + 0.17 T₀

           T = 1.17 T₀

We substitute.

         [tex]f = \sqrt{1.17 } \ \sqrt{\frac{T_o}{\mu } } \ \ \frac{1}{2L}[/tex]

         f = ra1.17 f₀

         f = 1.08 f₀

In conclusion, using the characteristics of the velocity of the waves in strings and the resonance we can find the change in the fundamental frequency when changing the tension is:

 The change in fundamental frequency is: f = 1.08 f₀

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if acceleration due to gravity is 10m/s², what will be the potential energy of a body of mass 2 kg kept at a height of 5 meter ?​

Answers

Answer:

50J

Explanation:

Ep = mgh

Here,

m = 1kg; g = 10 m/s2; h = 5m

So, Ep = 1kg*10m/s2*5m

= 50J

So, the potential energy is 50J (Ans).

A length of organ pipe is closed at one end. If the speed of sound is 344 m/s, what length of pipe is needed to obtain a fundamental frequency of 63 hz?.

Answers

Answer:

Node-Antinode       for a pipe closed at one end (fundamental)

The length of such a pipe would be wavelength / 4

lambda (wavelength) = speed / frequency = 344 m/s / 63 / sec = 5.46 m

The pipe would have to be 5.46 / 4 = 1.36 m

Match the following terms to the correct definition:

1.law of conservation of energy:
2.thermal energy:
3.temperature:
4.kinetic energy:
5.potential energy:

A.the energy associated with the motion and positions of particles
B.the stored energy an object possess, often due to its position relative to other objects around it
C.a scientific principle that states that energy can neither be created nor destroyed by ordinary chemical or physical means.
D.the energy that an object possesses due to its motion
E.a measure of the average kinetic energy of the particles in an object due to their random motions

Answers

The terms with their correct definition is matched as follows:

The law of conservation of energy is a scientific principle that states that energy can neither be created nor destroyed by ordinary chemical or physical means.

Thermal energy is the measure of the average kinetic energy of the particles in an object due to their random motions.

Temperature is the energy associated with the motion and positions of particles.

Kinetic energy is the energy that an object possesses due to its motion or movement. It is measured in Joules.

Potential energy is the stored energy an object possess, often due to its position relative to other objects around it.

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HEEEEEELLLLLLLLPPPPPPPP!!!!!!!!!!

Answers

Answer:

True

True

False (Temperature measures the average kinetic energy of the particles in a substance. Thermal energy measures the total kinetic energy of the particles in a substance.)

False (is true only if both object have the same mass)

False (it's 100°)

True

True

True

True

False (Substances with a high specific heat require a lot of heat to have their temperature raised by one degree. On the other hand, substances with a low specific heat require a smaller amount of heat, like most metals)

which statement about moist air moving over a mountain is correct?

Answers

Answer:

Explanation:

The orographic effect occurs when air masses are forced to flow over high topography. As air rises over mountains, it cools and water vapor condenses. As a result, it is common for rain to be concentrated on the windward side of mountains, and for rainfall to increase with elevation in the direction of storm tracks.

What are the advantages and/or disadvantages of the radiation that technology has had for the human economy?

Answers

Advance technology in economy

In an exothermic reaction, energy is

the surroundings.


In an endothermic reaction, energy is

the surroundings.

Answers

In Exothermic reaction energy is Thrown/Relased to the surroundings.In endothermic reaction, energy is absorbed from the surroundings.

Trick to identify:-

Exothermic reaction has +∆H sign on product sideEndothermic reaction has -∆H sign on product side or +∆H sign on reactant side

Answer:

In an exothermic reaction, energy is

✔ released to

 the surroundings.

In an endothermic reaction, energy is

✔ absorbed from

 the surroundings.

Explanation:

Please answer correctly.
Will give the brainliest !!!
Urgent !!!
Please help !!

Answers

force magnetic field a torque dynometer ---

What are the two factors that affect the gravitational pull between two objects?

Answers

Answer:

hen dealing with the force of gravity between two objects, there are only two things that are important – mass, and distance.

Explanation:

please help pleaseeeeee

Answers

Answer:

25mg

Explanation:

it basically explains itself

SECOND remake of a question i made... IF YOU PLACE ANY NON-BRAINLY QUESTION LINK I WILL LOOSE MY (QUACK)ING MIND BECAUSE IM HAVING ENOUGH OF PEOPLE BREAKING MY BRAINLY!
(the screenshot is the original question that was broken by Brianbobtv placing a virus link into the answer box... and the first remake was broken by Brianfps for the same thing but a different virus link [a common one you'll see] please read everything in the screenshot before answering)
For the love of all that is holy and not, please don't place a link at all... or ill loose my mind im surprised i didn't loose it yet from the second brainly break... the screenshot is everything from the first question of this... the second is the question separated from the original question... the third is the star amount meaning

Answers

Answer:

C.) decreases, stronger

Explanation:

Since gravitational force is inversely proportional to the square of the separation distance between the two interacting objects, more separation distance will result in weaker gravitational forces. So as two objects are separated from each other, the force of gravitational attraction between them also decreases; however, as the two objects are closer to each other, the force of the gravitational attraction between them also increases (stronger).

I agree to hire you for 30 days. You can decide between two methods of payment: either (1) $1000 a day, or (2) one penny on the first day, two pennies on the second day and continue to double your daily pay each day up to day 30. Use quick estimation to make your decision, and justify it

Answers

Answer:

The second deal.

Explanation:

I had that before, if u pick the second one you will get twice as much in a year as the first one.

A toy car travels down a sloping ramp at constant speed. toy car Which statement about
the forces acting on the car is correct?

A There are no forces acting on the car vertically.

B There is no resultant force acting on the car.

C There is no gravitational force acting on the car.

D There is no frictional force acting on the car.

Answers

Answer:

D There is no frictional force acting on the car.

Explanation:

There isnt any friction acting on the car while its going down.

a 10kg model rocket is fired at a 60 degree angle from horizontal from the football field with a thrust of 200N. what is the acceleration of the rocket?​

Answers

Answer:

the acceleration of the rocket is: a=vemΔmΔt−g a = v e m Δ m Δ t − g .

Explanation:

I answered this before.

hope this helps! :)

A truck with a mass of 1500 kg is decelerated at a rate of 5m/s2.how much force did this require ?

Answers

Answer:

6500N

Explanation:

F = ma so therefore Were given mass (m) = 1500 kg, acceleration (a) = 5 m/s2, well have to calculate the force to be:

1500 x 5 = 6500 N

what is Secular Music's instrument's?​

Answers

Answer:

Drums, harps, recorders, and bagpipes.

Explanation:

A ball is thrown from ground level at an angle of 0 and the initial velocity components are 7.5m/s and 13m/s. Ignoring air resistance, calculate each of:

1- The initial velocity is vi

2- The value of the angle at which the ball was thrown

3 - The horizontal range of the ball R​

Answers

I assume you mean an angle of θ, and not 0. I also assume the given components of the initial velocity are horizontal and vertical, respectively, so that

1. the initial velocity vector is

[tex]\boxed{\vec v_i = (7.5\,\vec\imath + 13\,\vec\jmath) \dfrac{\rm m}{\rm s}}[/tex]

which means the ball is thrown with an initial speed of

√((7.5 m/s)² + (13 m/s)²) ≈ 15 m/s,

and

2. the angle made by [tex]\vec v_i[/tex] with the positive horizontal axis is θ such that

[tex]\tan(\theta) = \dfrac{13}{7.5} \implies \theta \approx \arctan(1.7) \approx \boxed{60^\circ}[/tex]

3. At time t, the ball attains a height y and horizontal range x according to

y = (13 m/s) t - g/2 t²

x = (7.5 m/s) t

where g = 9.8 m/s². When the ball reaches the ground (y = 0) for t > 0, we have

(13 m/s) t - g/2 t² = 0

13 m/s - g/2 t = 0

t = 2 (13 m/s)/g = (26 m/s)/g

Plugging this time into the x equation gives a horizontal range of

x = (7.5 m/s) (26 m/s)/g ≈ 20. m

What do atoms joined by covalent bonds share?

Answers

Answer:

A covalent bond consists of the mutual sharing of one or more pairs of electrons between two atoms. These electrons are simultaneously attracted by the two atomic nuclei. A covalent bond forms when the difference between the electronegativities of two atoms is too small for an electron transfer to occur to form ions.

Explanation: hope it helps :)

Name 3 things you have in your home that you could use to make an electromagnet.

Answers

Answer:

radio TV set and telephone

What are the variables that affect the force of gravity between objects?

Answers

The answer is to say I don’t have to say it was wrong

PLEASE HELP

While moving at a constant speed on a level, snowy surface, a snowmobile rider throws a snowball vertically up-
wards. If the snowmobile continues moving at a constant velocity, the ball returns to the driver. Explain, using one of Newton's Laws of Motion why the ball lands ahead of the driver if the snowmobile stops.

Answers

The ball lands ahead of the driver if the snowmobile stops in obedience to the law of inertia.

According to Newton's first law of motion, an object continues in its state of rest or uniform motion unless it is acted upon by an unbalanced external force. This is also known as the law of inertia.

The law of inertia explains the reluctance of an object to stop when it has started moving and also the reluctance of objects to start moving. The ball lands ahead of the driver if the snowmobile stops in obedience to the law of inertia.

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