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

When melting of a metamorphic rock occurs, it changes into what?

Answers

Answer:

The upper limit of metamorphism occurs at the pressure and temperature of wet partial melting of the rock in question. Once melting begins, the process changes to an igneous process rather than a metamorphic process. During metamorphism the protolith undergoes changes in texture of the rock and the mineral make up of the rock.

Explanation:

i hope this helps

When melting of a metamorphic rock occurs, it changes into Magma and igneous rock will emerge as a result of this..

What is metamorphism?

Sedimentary, igneous, and metamorphic rocks are the three distinct types of rocks that make up the rock cycle. Rocks such as sedimentary and igneous rocks were not always rocks.

A very particular set of circumstances must exist for a rock to undergo metamorphism. It is necessary to subject the preexisting rock to extreme temperatures, high pressures, or hot, mineral-rich fluids. All three of these conditions are typically true. The Earth's crust is where these conditions are most frequently encountered, either there or at plate borders when tectonic plates meet.

It is essential that the current rock not melt in order to produce metamorphic rock. The rock will melt under excessive heat or pressure and turn into magma. Instead of a metamorphic rock, an igneous rock will emerge as a result of this.

Learn more about metamorphism here:

https://brainly.com/question/1100440

#SPJ5

If you use a lever to lift a boulder 0.25m, while applying 350 N on the lever which moves 1.5 m down on your side. What is the weight of the boulder? (F1d1 = F2d2) 87.5 N 131 N 525 N 2100 N

Answers

Answer:

2100 N

Explanation:

From the question,

Using the formula

F₁d₁ = F₂d₂..................... Equation 1

Where F₁ = Weight of the Boulder, d₁ = distance moved by the Boulder, F₂ = Force applied on the lever, d₂ = distance moved by the lever.

make F₁ the subject of the equation

F₁ = F₂d₂/d₁.................... Equation 2

Given: F₂ = 350 N, d₁ = 0.25 m, d₂ = 1.5 m

Substitute these values into equation 2

F₁ = 350(1.5)/0.25

F₁ = 2100 N

An oscillator is made with a rubber band and a block of wood
as shown in the diagram. What happens to the oscillator if we
make the block of wood heavier?

Answers

Answer:

Explanation:

a. The frequency increases.

b. The period increases.

c. The frequency stays the same.

d. The period stays the same

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

A 230 kg motorcycle zooms away from a red light with a force of
13,800 Newtons. What is the acceleration of the motorcycle in m/s??

Answers

Answer:343

Explanation:

Carbon dioxide can be represented by the chemical formula
es
A)
C₂0
B)
CO2
C)
Ca,
D)
CaOz
pls help fast !!!

Answers

Answer:

Your answer is B co2

Explanation:

Answer: CO2

Explanation:

Carbon dioxide is consisted of one carbon molecule and 2 oxygen molecules, therefore CO2

Joey's little brother makes a ramp to push hos toy dump truck up to his sandbox. if he uses 5N of force to push the 12N truck up the ramp, what is the mechanical advantage of his ramp?
A. 6.0
B.0.42
C. 2.4
D. 23.5​

Answers

C. 2.4 bc mechanical advantage is the effort force divided by the force put in and 12/5 equals 2.4 not 12-5 which is 6

What is the nergy of a wave that has a
frequency of 6.32 x 10^20 Hz?

Answers

here you go thank bob not me he will be very thankful

How are amplitude, intensity, and
loudness related?

Answers

Answer:

Amplitude is a measure of the size of sound waves. It depends on the amount of energy that started the waves. Greater amplitude waves have more energy and greater intensity, so they sound louder. The same amount of energy is spread over a greater area, so the intensity and loudness of the sound is less.

Explanation:

Suppose a small black hole with mass equal to 7.35 × 10^30 kg drifted past Earth at the same distance as the Moon. The mass of the Moon is about 7.35 × 10^22 kg. What might be expected? (Please do not answer if you do not know, this is for a project worth 30% of my grade)

Answers

Answer:

wt f i dont care

Explanation:

How many lobes are in the lungs

Answers

Answer:

There are 5 lobes in the lungs.

Explanation:

The right lung consists of three lobes: the RUL, the RML, and the RLL. While the left lung consists of two lobes: the LUL, and the LLL.

what is SI unit of speed​

Answers

Answer:

m/s

Explanation:

The SI unit of speed is the metre per second, but the most common unit of speed in everyday usage is the kilometre per hour or, in the US and the UK, miles per hour.

m/s

which is also written as

ms-¹

The above mentioned symbols are said as 'meter per second'

hope it helps!

what is 1 AU equal to in kilometres

Answers

An AU is the distance from the Earth tjj in the Sun. 98 million miles.

Answer:

1 au is 1.496e+8 kilometres

Explanation:

Easy AU to km conversion. A kilometer, or kilometre, is a unit of length equal to 1,000 meters, or about 0.621 miles.

Hope this helps    :)

Which three parts of the graph’s curve represent the solid, liquid, and gaseous state of water? Explain your reasoning.

Answers

B,C,D maybe

Explanation:

plz dont get mad

The person above me is right I hope you can give the person brainly I hope you all have a wonderful day❤️

This girl named Emma she my crush what do I say to her.

Answers

Just be her friend and ask her if she has any crushes

Answer:

you gotta shoot your shot.

Explanation:

look for the signs. ask her out before someone else does. you got this dawg

Keegan has a wood ball, James has a steel ball, and Drew has a ping pong ball. If they all blow them with the same air force across a table using a straw, whose ball with will win the race?

Answers

Answer:

A ping pong ball

Explanation:

It has the lightest weight among the rest

number of atoms of each element Sulfur dioxide?​

Answers

Answer:

Element Symbol # of Atoms

Oxygen O 2

Sulfur S 1

Explanation:

1.) True or False.
The two forces in an action-reaction pair are always equal in strength.
2.) True or False.
The two forces in an action-reaction pair act in the same direction.
3.) True or False.
Action-reaction force pairs act on the same object.
4.) True or False.
Action-reaction force pairs act simultaneously.

Answers

Answer:

Explanation:

According to Newton's third law of motion, forces always act in equal but opposite pairs. Another way of saying this is for every action, there is an equal but opposite reaction. This means that when you push on a wall, the wall pushes back on you with a force equal in strength to the force you exerted. 1.True 2.falues 3.true 4. not really sure on this one

In red shift, the wavelengths of light become?

Answers

Answer:

Explanation:god is good because the god is what it stays

god is good because the god is what it staysgod is good because the god is what it staysgod is good because the god is what it stays

17) An object is being pulled in two different directions by two students. One student pulls to the left with 12 N
and the other pulls to the right with 15 N. What is the net force on the object?
a) 27 N right.
b) 3 N right
c) 2 N left.
d) 3 N left.

Answers

Pretty sure it’s d because 15N - 12N= 3N probably not right considering I haven’t done in class physics in almost 2 years

A car slams into a wall with a force of 5000 N. What is the force of the wall on the car? 5000 N -5000 N 49000 N 510 N It cannot be determined with the information provided.

Answers

Answer:

-5000 N

Explanation:

Newtons third law of motion states that action and reaction are equal and opposite. This means that to every action, there is an equal opposite reaction.

Hence when a body A exerts a force FA on another body B, the body B also exerts a force FB on A which is equal in magnitude to FA but opposite in direction. FB is the reaction force due to FA.

Hence, when a car hits a wall with a force of 5000N, the reaction of the wall on the car is -5000N

Two charges of 5 x 10-6 C are a certain distance apart. These two positive charges experience 3.6 N of repelling electrical force between them. How far apart are these charges?

Answers

Answer:

r = 0.2499 m

Explanation:

Use Coulomb's Law: [tex]F_{e} = kq_{1}q_{2} / r^{2}[/tex] where Fe is the electric force, q1 and q2 are the 2 charges respectively, k is a constant (8.99*10^9 N • m^2 / C^2) and r is the distance.

[tex]3.6 N = (8.99*10^{9})(5*10^{-6})(5*10^{-6}) / r^{2}[/tex]

r = 0.2499 m

The distance that should be apart from these charges should be considered when the r = 0.2499 m.

Calculation of the distance apart:

Since

Two charges of 5 x 10-6 C are a certain distance apart. These two positive charges experience 3.6 N of repelling electrical force between them

So

here we use Columb law

Electric force = k * two charges * two charges)r^2

3.6 N = (8.99*10^9) * ( 5 * 10^-6) * (5*10^-6)r^2

r = 0.2499 m.

Hence, The distance that should be apart from these charges should be considered when the r = 0.2499 m.

Learn more about force here: https://brainly.com/question/15866225

If a net force acting on a moving object causes its speed to increase, what
happens to the object's momentum?

A. It stays the same.
B. It increases.
C. It changed directions.
D. It decreases.

Answers

Answer:

It increases.

Explanation:

If a force acts in the same direction as the object's motion, then the force speeds the object up. Either way, a force will change the velocity of an object. And if the velocity of the object is changed, then the momentum of the object is changed.

If a 7 kg bowling ball is lifted 2 m into the air and dropped, what speed will it strike the ground? (

Answers

Answer:

6.32m/s

Explanation:

note:Now these calculations are based in the fact that acc. due to gravity is 10m/s²

okay so I'm thinking you think the speed of a body depends on the mass of the body also,umh... well it doesn't at all!

when two bodies of different masses fall from the same height,they fall at the same time( this is just to say)

now enough of the talking let solve....

so the ball was dropped .ie from rest to the ground through a distance of 2m,

the formula for calculating the distance if a body moving in a straight line is given by:

S=ut + ½at² where u is initial velocity, a is acceleration ( of the body or due to gravity, but since its falling freely under the influence of gravity its " we use the acceleration due to gravity ,which is 10m/s²) and t is the time taken to cover the distance.

from our question the ball was dropped from rest thus its u is 0 therefore we use this equation to find the time it took to touch ground (S=½at²)

solving ....

we get t to be 0.632s

to find the speed we substitute t in the equation below:

V=u+at ,but since u=0

V=at =10•0.632=6.32m/s

therefore the speed the body uses to strike the ground is 6.32m/s

Question 13 of 20
A copper atom has an atomic number of 29 and an atomic mass of 64. What
is the structure of this atom?
A. It has a central nucleus composed of 29 protons and 29 neutrons,
surrounded by an electron cloud containing 35 electrons.
B. It has a central nucleus composed of 29 protons and 35 neutrons,
surrounded by an electron cloud containing 29 electrons.
O C. It has a central nucleus composed of 35 protons and 29 neutrons,
surrounded by an electron cloud containing 29 electrons.
D. It has a central nucleus composed of 29 protons and 64 neutrons,
surrounded by an electron cloud containing 29 electrons.
SUBMIT

Answers

Answer:

B. It has a central nucleus composed of 29 protons and 35 neutrons,

surrounded by an electron cloud containing 29 electrons.

Explanation:

Protons and neutrons are the only subatomic particles with mass, and they are located in the nucleus. If this atom has an atomic number of 29 and is copper, it must have 29 protons (protons define which element is being observed). This means all remaining mass is from neutrons. 64-29 = 35.

Electrons have no mass and orbit the nucleus in the electron cloud. Since this copper atom is neutral (we are not told it has a charge), there must be an equal number of protons and electrons.

Answer:

B. It has a central nucleus composed of 29 protons and 35 neutrons,

surrounded by an electron cloud containing 29 electrons.

Explanation:

Hope this helps

A force of 40 N stretches a spring 0.20 m what is the spring
constant?
a. 2000 N/m
b. 200 N/m
c. 20 N/m
d. 2 N/m

Answers

It’s B lovey !!! Glad to help

please help me
A football player kicks a football and exerts a force on the football of 0.4 kg (m/s²). The football’s acceleration is 0.92 m/s². What is the mass of the football?

Answers

Answer:

0.368 Newtons

Explanation:

Answer:

i think it's 0.88

Explanation:

Please hurry
Starting from rest, this airliner accelerates at 2.4m/s2 for 32 seconds before leaving the ground. Calculate its velocity at liftoff.

Answers

Answer:

The velocity will be "76.8 m/s".

Explanation:

The given values are:

Acceleration,

a = 2.4 m/s²

Time,

t = 32 seconds

By equation of motion,

⇒  [tex]v=u+at[/tex]

On substituting the values, we get

⇒     [tex]=0+2.4\times 32[/tex]

⇒     [tex]=0+76.8[/tex]

⇒     [tex]=76.8 \ m/s[/tex]

What is the wavelength of visible light emitted at 4.2 x 10^8 Answer in units of M

Answers

Answer:

0.714 m

Explanation:

From the question,

v = λf......................... Equation 1

Where v = velocity of visible light, f = frequency of visible light, λ = wave length of visible light.

make λ the subject of the equation

λ = v/f.................. Equation 2

Given: f = 4.2×10⁸ Hz

Note: Light is an electromagnetic wave, and all electromagnetic waves travels with the same speed (3×10⁸ m/s)

Constant: v = 3×10⁸ m/s

Substitute these values into equation 2

λ = 3×10⁸/4.2×10⁸

λ = 0.714 m

How much energy (in kWh) can you get from a 72 cell solar panel in one year?

Answers

Answer:72,000
Explanation:
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