A cyclist rides at 6.20 m/s through a intersection. A stationary car begins to
accelerate at 3.844 m/s2 when the bike is beside it. They reach the other side of
the intersection at the same time. Find the width of the intersection.

Answers

Answer 1

Answer:

The width of the intersection is 20 meters

Explanation:

The speed with which the cyclist is riding, v₁ = 6.20 m/s

The rate at which the car starts to accelerate, a = 3.844 m/s²

The initial velocity of the car = The car is stationary at the start = 0 m/s

The time at which the cyclist and the car reach the other side of the intersection = The same time;

Let 't' represent the time at which the cyclist and the car both reach the other side of the intersection, we have;

The distance travelled by the cyclist = The distance traveled by the car

∴ v₁ × t = 1/2 × a × t²

Plugging in the values for 'v₁', and 'a' in the above equation, we get;

6.20 × t = 1/2 × 3.844 × t²

∴ 1.922·t² - 6.20·t = 0

∴ t·(1.922·t - 6.20) = 0

t = 0, or t = 6.20/1.922 = 100/31

The time at which the cyclist and the car both reach the other side of the intersection, t = 100/31 seconds

The with of the intersection, w = v₁ × t

∴ w = 6.20 × 100/31 = 100/5 = 20

The width of the intersection, w = 20 meters.


Related Questions

AP Physics Question

An amusement park ride consists of a large vertical wheel of radius that rotates counterclockwise on a horizontal
axis through its center, as shown above. The cars on the wheel move at a constant speed . Points and
represent the position of a car at the highest and lowest point of the ride, respectively. A person of weight sits
upright on a seat in one of the cars. As the seat passes point , the seat exerts a normal force with magnitude
on the person. While passing point , the person releases a small rock of mass , which falls to the ground
without hitting anything.

2. Which of the following best describes the passenger’s linear and angular velocity while passing point ?

A
Linear Velocity Angular Velocity
Constant Changing

B
Linear Velocity Angular Velocity
Constant Constant

C
Linear Velocity Angular Velocity
Changing Changing

D
Linear Velocity Angular Velocity
Changing Constant

Answers

The linear velocity is changing and the angular velocity is Constant best describes the passenger’s linear and angular velocity while passing a point.

What is the definition of Angular velocity?

The rate of change of angular displacement is defined as angular speed, and it is stated as follows:

ω = θ t

Where,

θ is the angle of rotation,

t is the time

ω is the angular velocity

The linear velocity is given as the product of angular velocity and radius.

v=ωr

In the circular motion, the linear velocity is changing. Because the radius is changing.While the angular velocity is constant.Because it is an independent quantity.

Hence the Linear velocity is changing and the angular velocity is Constant best describing the passenger’s linear and angular velocity while passing a point.

To learn more about the angular velocity refer to the link;

https://brainly.com/question/13649539

PLEASE HELP!! THIS IS DUE TODAY!
explain how the path of light changes as it moves from the oil to the water

Answers

The light refracts not mastbate

all about Henry Mosléy?

Answers

Answer:

henry moseley was an english physicist, whose contribution to the science of physics was the justification from physical laws of the previous chemical concept of the atomic number. one of his developments were of moseley's law in x-ray spectra.

Explanation:

What's a Blackhole ?​

Answers

Answer:

A black hole is a region of spacetime where gravity is so strong that nothing—no particles or even electromagnetic radiation such as light—can escape from it. The theory of general relativity predicts that a sufficiently compact mass can deform spacetime to form a black hole.

How high (in meters) can a 40 N force move a load, when 395 J of work is done? (round to the nearest 10th)

Answers

Answer:

9.9 m

Explanation:

From the question given above, the following data were obtained:

Force (F) = 40 N

Workdone (Wd) = 395 J

Height (h) =?

The height can be obtained as follow:

Potential energy = mgh = Fh

395 = 40 × h

Divide both side by 40

h = 395 / 40

h = 9.9 m

Thus, the height is 9.9 m.

what is required to cause a body of mass 500g to accelerate uniformly from rest across a smooth horizontal surface so that it will cover a distance of 20 tometre in 4 seconds .​

Answers

A constant force of 1.25N

Explanation:

This is a kinematics problem.

First find acceleration,

then use F = ma to find force.

Given:

mass = .5kg

delta x = 20m

t = 4s

a = ?

Friction = 0

From the kinematics equations:

delta x = Vi + (1/2)at^2

Plug in terms that are given:

20m = 0 + (1/2)a(4^2)

(2*20m)/(16s^2) = a

40m/(16s^2)= 2.5m/s^2

Now use F = ma to find force exerted on object.

F = (0.5kg)*(2.5m/s^2)

F = 1.25N

AP Physics Question 3

A planet has two moons, Moon and Moon , that orbit at different distances from the planet’s center, as shown.
Astronomers collect data regarding the planet, the two moons, and their obits. The astronomers are able to estimate
the planet’s radius and mass.

3. The masses of the two moons are determined to be for Moon and for Moon . It is observed that
the distance between Moon and the planet is two times that of the distance between Moon and the
planet. How does force exerted from the planet on Moon compare to the force exerted from the planet on
Moon ?

The gravitational force exerted from the planet on Moon is two times larger than the gravitational force
exerted from the planet on Moon .
B
The gravitational force exerted from the planet on Moon is eight times larger than the gravitational force
exerted from the planet on Moon .
C
The gravitational force exerted from the planet on Moon is two times smaller than the gravitational force
exerted from the planet on Moon .
D
The gravitational force exerted from the planet on Moon is eight times smaller than the gravitational force
exerted from the planet on Moon .

Answers

Gravitational force increases as the mass increases and decreases as the distance between the bodies is increased.

The correct option is; The gravitational force exerted from the planet on Moon A is eight times larger than the gravitational force exerted from the planet on Moon B.

Reasons:

The given parameters are;

The moons of the planet = Moon A and Moon B

Mass of Moon A = 2·M

Mass of moon B = M

The distance between Moon B and the planet = 2 × The distance between Moon A and the planet

Required:

Comparison (compare) of the force exerted from the planet on Moon A and Moon B.

Solution:

The force, F, exerted from the planet is the gravitational force which is given by Newton's Law of Gravitation as follows;

[tex]\displaystyle F = \mathbf{G \cdot \frac{M_{planet} \times M}{R^2}}[/tex]

Where;

G = Universal gravitational constant

[tex]M_{planet}[/tex] = Mass of the planet

M = Mass of the Moon

R = The distance from the planet to the Moon

For Moon A, we have;

Mass = 2·M

Distance = R

Which gives;

[tex]\displaystyle F_A = G \cdot \frac{M_{planet} \times 2\cdot M}{R^2} = 2\cdotG \cdot \frac{M_{planet} \times M}{R^2} = \mathbf{2 \cdot F}[/tex]

With Moon B, we have;

Mass = M

Distance = 2·R

Therefore;

[tex]\displaystyle F_B = G \cdot \frac{M_{planet} \times M}{(2 \cdot R)^2} = G \cdot \frac{M_{planet} \times M}{4 \cdot R^2} = \frac{1}{4} \cdot G \cdot \frac{M_{planet} \times M}{R^2} = \mathbf{\frac{1}{4} \cdot F}[/tex]

Which gives;

[tex]\displaystyle \frac{F_A}{F_B} = \frac{2 \cdot F}{\frac{1}{4} \cdot F } =2 \times \frac{4}{1} = \mathbf{8}[/tex]

[tex]\displaystyle \frac{F_A}{F_B} = 8[/tex]

[tex]F_A = \mathbf{8 \times F_B}[/tex]

The force from the planet on Moon A, [tex]F_A[/tex], is 8 times the force from the planet on Moon B.

Therefore, whereby option B is;

The gravitational force exerted from the planet on Moon A is eight times larger than the gravitational force exerted from the planet on Moon B.

The correct option is option B

Learn more about Newton's Law of gravitation here:

https://brainly.com/question/18670622

PLS HELP
Which statements below are true?
Check all that apply.
A. Distance can be fully described with a magnitude and a unit.
B. If motion starts and stops at the same location, then the
displacement is zero.
C. Displacement measurements must include magnitude, unit, and
direction.
D. Distance is always less than or equal to the magnitude of the
displacement

Answers

Answer:

A and C are correct.

A, and C hope this helps u out.

A charge q1 of -5.00 x 10^-9 C and a charge q2 of -2.00x 10^-9 C are separated by a distance of 40.0 cm. Find the equilibrium position for a third charge of +15.0x 10^-9 C.

Answers

Answer:

Explanation:

Let the equilibrium position of third charge be x distance from q₁.

Force on third charge due to q₁

= 9 x 10⁹ x 5 x 10⁻⁹ x 15 x 10⁺⁹ / x²

Force on third charge due to q₂

= 9 x 10⁹ x 2 x 10⁻⁹ x 15 x 10⁺⁹ /( .40-x)²

Both the force will act in opposite direction and for balancing , they should be equal.

9 x 10⁹ x 5 x 10⁻⁹ x 15 x 10⁺⁹ / x² = 9 x 10⁹ x 2 x 10⁻⁹ x 15 x 10⁺⁹ /( .40-x)²

5  / x² = 2 / ( .4 - x )²

Taking square root on both sides

2.236 / x = 1.414 / .4 - x

2.236 ( .4 - x ) = 1.414 x

.8944 - 2.236 x = 1.414 x

.8944 = 3.65 x

x = .245 m

24.5 cm

So the third charge should be at a distance of 24.5 cm from q₁ .

the unit of force is the
backhaus
Einstein
newton
kilogram ​

Answers

Answer:

the answer is a C a newton

pls help me to draw it . I will make you brianliest ​

Answers

I can’t do that you have to!


26. A liquid with a low viscosity
a. has a definite shape
b. fills its container
c. flows quickly
d. flows slowly​

Answers

Answer:

flows quickly and needs to be like paper

Answer:

c

Explanation:

it flows very quickly since it has a low viscosity

AWARDING BRAINLIEST
The distance traveled by an object divided by the time it takes to travel that distance is called
a.
average velocity.
c.
average acceleration.
b.
average speed.
d.
activity.

Answers

Answer:

I'm really not that good at this but i think the answer is b

Explanation:

l'm really hoping this helped u

Giving brainliest!! if you answer correctly :) (30pts)

Answers

Answer:

option A 4kg is your answer

Explanation:

given

mass(m)=?

velocity (v)=5m/s

we have

kinetic energy =50J

1/2 ×{m×v²)=50

m×5²=50×2

m=100/25=4 kg

PLEASE HELPP I NEED TO PASS THIS !!

Answers

Option D is correct.

List 4 forms of energy

Answers

Answer:

Chemical energy is energy stored in the bonds of atoms and molecules. ...

Mechanical energy is energy stored in objects by tension. ...

Nuclear energy is energy stored in the nucleus of an atom—the energy that holds the nucleus together. ...

Gravitational energy is energy stored in an object's height.

Answer:

Nuclear power

Electricity

Mechanic

Gravity

Explanation:

what substance might impact the formation of volcanic rock?

marking brainliest!

Answers

Answer:

Magma is less dense than the surrounding rock which causes it to rise. When magma reaches the surface it is then called lava and the eruptions of lava and ash produce volcanoes. The lava that reaches the Earth's surface will harden and become igneous rock.

Sodium lamps give off light at
589 nm. When that light passes
through a diffraction grating with
d = 3.88 x 10-6 m, what is the angle of
its second order (m = 2) maximum?

Answers

Answer:

θ = 17.67°

Explanation:

The grating equation can be used here to find the angle. The grating equation is given as follows:

[tex]m\lambda = dSin\ \theta[/tex]

where,

m = order = 2

d = 3.88 x 10⁻⁶ m

λ = wavelength of light = 589 nm = 5.89 x 10⁻⁷ m

θ = angle = ?

Therefore, using these values in the equation, we get:

[tex](2)(5.89\ x\ 10^{-7}\ m) = (3.88\ x\ 10^{-6}\ m)Sin\theta \\Sin\theta = \frac{(2)(5.89\ x\ 10^{-7}\ m)}{(3.88\ x\ 10^{-6}\ m)}\\\\\theta = Sin^{-1}(0.3036)[/tex]

θ = 17.67°

Answer:17.67

Explanation:

What is the frequency of a light with the wavelength of 5.00 x 102 m?

Answers

Answer:

510 meters

Explanation:

That is sort of a math question but with the meters and wavelength, it's both a physical and a math question. Don't worry, i won't report (Unless you report my answer)

A 1202-kg car is stopped at a stoplight. Inside, the car has three occupants. The two passengers have a mass of 75 kg each, while the driver has a mass of 105 kg. The driver steps on the gas pedal, and the car begins to accelerate at a rate of 2.5 m/s2 . What is the force that the engine is applying to the car?

Answers

Answer:

F = 63.25 N

Explanation:

a = 2.5 m / s ²

m = 25.3 kg

F =?  

We calculate the force.

F = ma

F = (25.3 kg) (2.5m / s²)

F = 63.25 N

Solution.

F = 63.25 N

Give an example of an atom that will give up its outermost electron easily. Explain why you chose this atom.

Answers

Answer:

Cesium (Cs)

very low electronegativity

there are a bunch of cool videos online about Cesium reacting with water

most are faked but the general idea is a cool one as Cesium very quickly and easily gives up it's one and only outermost (or valence) electron

Explanation:

Which group number below represents the Oxygen Group?
1 point
18
Periodic Table of the Elements
14
15
2
18
16

Answers

Oxygen has an atomic number 8, because it has 8 protons and 8 electrons.

The first shell of an atom can hold up to 2 electrons but oxygen has 8 electrons, in that eight electrons 2 are in the first shell, so it has 6 more electrons left. The second shell can hold up to 8 electrons, oxygen has only 6 more electrons after the first shell is full, so it will have 6 electrons in the second shell

From this we know that oxygen has 2 shells so it is in period 2, and by counting from left to right, the sixth box in period 2 lies on group 16

Therefore Oxygen lies on group 16 and period 2

Happy to help :)

If you need my help for any other question, feel free to ask

in your own opinion do you think liquorice all-sorts is a healthy ofor ptions snack​

Answers

Well its a snack

.

.

.

.

.

.

.

.

.

.

.

.

.

Hurricanes are powered by heat energy in the atmosphere and the ocean. Typically, one hurricane uses an amount of heat roughly equal to Z thousand atomic bombs. If the excess heat built up in Earth's atmosphere since 1850 went into producing hurricanes, about how many more hurricanes might we expect in the world every year?

Answers

Answer:

In an year about 6 major hurricanes and 3 minor storms occurs.

Explanation:

Hurricanes are increasing in number and frequency to the increasing impact of global warming. As current research states that climate change in the tropics results in an increased storm frequency. The presence of extra heat in the air or the oceans form the stoma that leads to the production of such energy. According to o the 200-2007 data shows in the huge increase in the storm frequency and this suggests the impact of climate warming.

Directions: Read each statement and determine if it is describing speed or
velocity. Write your answer on the space provided before the number.
1. Jackson ran 5k in 24 minutes.
2. A storm is travelling 25 km/hour eastward.
3. John walked 420 m in 17.5 seconds.
4. Zart moved the desk 34 cm to the left.
5. A hurricane travels 360 km in 15 hours.
6. Meredith runs 400 meters in 50 seconds.
7. Stephen Jay swims 110 m towards the shore in 72 seconds.
8. Vince throws a baseball 38 m from third base to first base in 1.7 seconds.

Answers

Answer:

Find answers below.

Explanation:

Velocity can be defined as the rate of change in displacement (distance) with time. Velocity is a vector quantity and as such it has both magnitude and direction.

Mathematically, velocity is given by the equation;

[tex]Velocity = \frac{distance}{time}[/tex]

Speed can be defined as distance covered per unit time. Speed is a scalar quantity and as such it has magnitude but no direction.

Mathematically, speed is given by the formula;

[tex]Speed = \frac{distance}{time}[/tex]

1. Speed: Jackson ran 5k in 24 minutes.

2. Velocity: A storm is travelling 25 km/hour eastward.

3. Speed: John walked 420 m in 17.5 seconds.

4. Velocity: Zart moved the desk 34 cm to the left.

5. Speed: A hurricane travels 360 km in 15 hours.

6. Speed: Meredith runs 400 meters in 50 seconds.

7. Velocity: Stephen Jay swims 110 m towards the shore in 72 seconds.

8. Velocity: Vince throws a baseball 38 m from third base to first base in 1.7 seconds.

explain a conventional method of heat transfer.​

Answers

Conventional ovens, which do not have fans, rely primarily on radiation from the oven walls, and to a lesser extent, on natural convection caused by temperature differences. The fans in convection ovens allow more heat to be transferred via convective heat transfer.

Conventional method of heat transfer.​

Convection refers to a method of heat transfer where food is heated by a moving heat source such as hot air inside an oven that is circulated by a fan.

How it works?

Convection occurs when particles with a lot of heat energy in a liquid or gas move and take the place of particles with less heat energy. Heat energy is transferred from hot places to cooler places by convection. Liquids and gases expand when they are heated. As a result, the particles take up more volume.

For example:

Conventional ovens, which do not have fans, rely primarily on radiation from the oven walls, and to a lesser extent, on natural convection caused by temperature differences. The fans in convection ovens allow more heat to be transferred via convective heat transfer.

Learn more:

brainly.com/question/16646491

Write the word conduction, convection or radiation in the blanks in front of 1-13
1.
Walking on the hot sand on a beach
2.
A ceiling fan forcing the warm air downward.
3.
Feeling heat from a campfire.
Chocolate candy melting in your hand.
5.
Air in the atmosphere rising and falling.
6.
Heat from the sun warming a swimming pool.
7.
Changing a light bulb while it's still hot.
8.
Heat from the hood of a car when you touch it.
9.
Feeling the heat from a stove burner without touching it.
10.
Boiling water moving in a circular motion
11. Energy that is transferred in waves or particles.
12. Energy that is transferred by direct contact.
13. Energy that is transferred through a fluid where hot rises and cold
sinks.

Answers

Answer:

1. conduction

2. convection

3. radiation

4. conduction

5. convection

6. radiation

7. conduction

8. conduction

9. radiation

10. convection

11. radiation

12. conduction

13. convection

If continuous spectrum light from a star passes through a cool, low-density gas on its way to your telescope and spectroscope, ____ spectrum on the continuous spectrum results. If continuous spectrum light from a star passes through a cool, low-density gas on its way to your telescope and spectroscope, ____ spectrum on the continuous spectrum results. a bright (emission) line a dark (absorption) line continuous

Answers

Answer:

a dark (absorption) line.

Explanation:

A star is a giant astronomical or celestial object that is comprised of a luminous sphere of plasma, binded together by its own gravitational force.

It is typically made up of two (2) main hot gas, Hydrogen (H) and Helium (He).

Light wave can be defined as an electromagnetic wave that do not require a medium of propagation for it to travel through a vacuum of space where no particles exist.

A telescope can be defined as an optical instrument or device which comprises of a curved mirror and lenses used for viewing distant objects i.e objects that are very far away such as stars and other planetary bodies.

If continuous spectrum light from a star passes through a cool, low-density gas on its way to your telescope and spectroscope, a dark (absorption) line spectrum on the continuous spectrum results, which ultimately implies that the color is being absorbed and the absorption of specific frequencies of light by a hot gas.

Help FAST PLSS!!!
What is the period of a wave with a wavelength of 8 cm and a frequency of 0.5 hertz?(1 point)
0.125 seconds
4 seconds
0.0625 seconds
2 seconds
Two ropes are identical. A wave traveling through the first rope has a frequency of 1.5 hertz and a wavelength of 6 meters. What is the frequency of a wave in the second rope if its wavelength is 2 meters?(1 point)
3 hertz
1.5 hertz
9 hertz
4.5 hertz
If the wavelength of a wave in a particular medium is tripled, what will happen to the frequency of the wave?(1 point)
It will become one third of its original value.
It will become triple its original value.
It will depend on the speed of the wave.
It will remain constant.
If the speed of sound in air is 340 m/s, approximately how long will it take the sound of a clap of thunder to travel 2 kilometers?(1 point)
3.4 seconds
2.9 seconds
1.7 seconds
5.9 seconds
In music, the note G above middle C has a frequency of about 392 hertz. If the speed of sound in the air is 340 m/s, what is the approximate wavelength of this note?(1 point)
8.7 meters
0.87 meters
0.0026 meters
1.2 meters

Answers

Answer:1.) 2 seconds

2.) 4.5 hertz

3.) it will become one third is original value

4.)5.9 seconds

5.)0.87 meters

Explanation:

1. The time period of wave is 0.125 second

2. The frequency of a wave in the second rope is 1.5 hertz.

3. The frequency will become one third of its original value.

4. the time taken by sound of a clap of thunder to travel 2 kilometers is 5.9 seconds.

5. The wavelength of note is 0.87 meter

1. Time period [tex]=\frac{1}{frequency} =\frac{1}{8} =0.125second[/tex]

2. Since both rope are identical. Therefore, both rope have same frequency.

Thus,  The frequency of a wave in the second rope is 1.5 hertz.

3. In relation between wavelength and frequency, wavelength is inversely proportional to frequency.

If the wavelength of a wave in a particular medium is tripled , then the frequency of the wave will become one third of its original value.

4. The time taken by sound of a clap of thunder,

                                    [tex]=\frac{2000}{340}=5.9seconds[/tex]

5. Wavelength is the ratio of speed to the frequency.

                      [tex]Wavelength=\frac{340}{392}=0.87meters[/tex]

Learn more:

https://brainly.com/question/17264163

please answer as fast as possible

a monometer containing mercury of density p = 13.6 x 10^3 connected to a gas supply. caluclate the perssure of the gas supply
also sorry for the blury image

Answers

Explanation:

the pressure is given by P=hpg

where h is height,p is density, g is 10m/s²

thus P= 0.05m•13.6x10³•10

P=6.8x10³ Hgmm

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