As the signal turns green, automobile A accelerates at a constant rate of 2 m/s2. Two seconds later, automobile B starts and accelerates at a constant rate of 3.6 m/s2. Determine (a) when B will overtake A, (b) the speed of each automobile at that time, and c) the location where B overtakes A relative to the traffic signal.
Answer:
a) 45 s , b) vₐ = 90 m / s, v_b = 162 m / s, c) x_b = 3.328 10⁴ m
Explanation:
We can solve this exercise using the kinematic relations
Vehicle A
xₐ = v₀ₐ t + ½ aₐ t²
vehicle B
starts two seconds later
x_b = v_{ob} (t-2) + ½ a_b (t-2) ²
as cars start from rest their initial velocities are zero
at the point where they meet, the position must be the same for both vehicles
xa = 0 + ½ aₐ t²
xb = 0 + ½ a_b (t-2) ²
½ aₐ t² = ½ a_b (t-2) ²
[tex]\sqrt{ \frac{a_a}{a_b} }[/tex] t = (t-2)
t (1 - \sqrt{ \frac{a_a}{a_b} }) = 2
t (1 - ⅔, ) = 2
t = 2 / 0.4444
t = 45 s
b)
the speed of each car
vₐ = voa + aa t
vₐ = 0 + 2 45
vₐ = 90 m / s
v_b = 3.6 45
v_b = 162 m / s
c) xb = 0 + ½ ab (t-2) ²
x_b = ½ 3.6 (45-2) ²
x_b = 3.328 10⁴ m
How is the information from the stimuli is communicated to the brain?
Answer:
To accurately respond to stimuli, the brain relies on information communicated by sensory neurons. Sensory neurons detect inputs from the environment, convert them into signals (electrical impulses), and pass the information on to the brain and spinal cord, where a response can be generated.
Explanation:
1. Heat energy is also known as
energy.
?
Heat energy is also called thermal energy.
How much energy does a 100-W light bulb use in 8.0 hours?
Energy is referred to heat here
Power=P=100WTime=t=8hEnergy be H
[tex]\\ \sf\Rrightarrow H=Pt[/tex]
[tex]\\ \sf\Rrightarrow H=100(8)[/tex]
[tex]\\ \sf\Rrightarrow H=800J[/tex]
Describe how rainforests are more diverse than arctic ecosystems. Give examples of ecological diversity, species diversity, and genetic diversity.
Answer:
Rainforests contain around 50% of all life on Earth and only take up 6% of the Earths surface area. It contains more species of plant and animals than any other ecosystem. It's climate and geography lend it to growing more plant life which sustains many small animals. The arctic is inhospitable to most species because of the extreme cold. It's food webs do not sustain themselves well as there are fewer species at the bottom the the chain. The genetic variations are greater at the equator than the arctic giving the organisms a greater chance to survive.
Rainforests are far more diverse than arctic ecosystems because of the amount of sunlight and the rain it receives throughout the year.
What are biomes?
Biomes can be defined as regions specified by particular biological and geographical communities that evolved because of the shared regional climate of that region.
Generally, there are mainly five major types of biomes those are forest desert grassland aquatic, and tundra.
Even though they only cover 6% of the planet's surface, rainforests are home to about 50% of all living. More plant and animal species may be found there than in any other habitat.
The high temperature of the arctic makes it uninhabitable for the majority of creatures. Because there are fewer species at the base of the food chain, its food webs are unable to support themselves.
Because there are more genetic variants around the equator than in the north, species there has a better chance of surviving.
Thus, rainforests are far more diverse than arctic ecosystems.
Learn more about biomes from here,
brainly.com/question/11491362
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In what ways does the loss of Arctic ice affect biodiversity of the species in the region?
There are many technologies that reduce the amount of carbon emissions into our atmosphere. Identify some example of these technologies.
With less ice, it could greatly affect the animals that depend on the ice, such as polar bears, walruses, and many other animals. This could result in their species eventually going extinct.
Help me on this please
A 15-meter length of aluminum wire is at 20 degrees C. The radius of the wire is 4.2 x 10-4 meters. What’s the resistance of the wire?
Answer:
Idek figure it out
Explanation:
Why u so lazy?
Choose the word that BEST completes the following sentence. Saturn’s rings have been assigned a letter, based on their location. The rings A and B are separated by: Titan The Cassini Division Stars An open space fairly equivalent to the Grand Canyon
Answer:
The correct answer would be Saturn's Cassini Division.
Explanation:
Read about it here.
https://caps.gsfc.nasa.gov/simpson/kingswood/rings/
Hope this helps! :)
_______ is the process which causes magma to form.
Answer:
flux melting
Explanation:
Flux melting is the process that causes magma to form. Flux melting happens when water or carbon dioxide exists added to rock.
What is meant by Flux melting?When rock is exposed to water or carbon dioxide, flux melting occurs. The rock melts at lower temperatures as a result of these substances. This causes magma to form where it had a solid structure before. Around subduction zones, flux melting also happens, much like heat transfer.
Flux melting happens in igneous petrology and volcanology when water and other volatile substances are added to hot solid rock, depressing the solidus. Flux is a material, such as salt, that produces a mixture with a metal oxide that has a low melting point (liquidus) in engineering and metallurgy.
To learn more about Flux melting, refer to:
https://brainly.com/question/24214679
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7. Your friend shows you a special kind of paper that can change color. He says that it will change
color if it is out in the sun. Can light from the sun cause the paper to change color?
a
Yes. Light from the sun can pull energy out of the paper, causing it to change color.
b
Yes. The paper can take in energy from the light, causing it to change color.
С
No. Light is not a physical thing, so it cannot change physical things like paper.
d
No. Light can only change things by warming them up, so it cannot cause the paper to
change color.
Answer:
d no light can only change things by warming them up , so it cannot cause the paper to change colur
1. How are hot and cold packs constructed so that the reaction takes place only when needed?
2. Hypothesize two ways that you could change the amount of heat given off or absorbed in these packs.
Answer:
1.They are constructed of a large pouch containing a dry chemical plus an inner pouch of water. The hot/cold pack is activated by breaking the seal on the pouch of water and shaking the pack vigorously. This action mixes the water
PLZZ HELP ME PLZ I NEED YALL HELP WITH THIS LAST QUESTION
Answer:
The 5 Forces
Explanation:
The five forces that influence wind speed and direction are: Pressure gradient force (flow from high to low pressure) Coriolis force (apparent deflecting force due to the rotation of the Earth) Turbulent drag (Earth's surface or objects like trees or grass resist air flow and decrease wind speed near the ground)
Organisms require certain water temperatures to do what 2 things?
Answer: Temperature is also important because of its influence on water chemistry. ... Warm water holds less dissolved oxygen than cool water, and may not contain enough dissolved oxygen for the survival of different species of aquatic life. Some compounds are also more toxic to aquatic life at higher temperatures.
Explanation:
A student is observing prokaryotic and eukaryotic cells. How can the student determine the difference in the two cells?
Answer:
Prokaryotes are single-celled organisms that do not have a nucleus or any membrane-bound organelles. Eukaryotes are single-celled or multi-celled organisms that do contain a nucleus and membrane-bound organelles
A SOUND WAVE WITH ITS CHARACTERISTIC PATTERN OF COMPRESSIONS AND
RAREFACTIONS IS SHOWN BELOW. A CENTIMETER RULER IS INCLUDED BELOW THE
PATTERN THE WAVELENGTH OF THIS SOUND WAVE IS HOW MANY cm?
A 2 cm
B 3 cm
C 35 cm
D. 85 cm
וייייייייייייייייי
U
0
1
2
3
4
5
6
7
8
9
10
Answer:
The wavelength is 1.7cm
Explanation:
Given
See attachment for wave pattern
Required
What is the wavelength
To do this, we simply calculate the distance between successive waves (see attachment 2 for point A and B)
Using the ruler, points A and B are at:
[tex]A = 0.6cm[/tex]
[tex]B = 2.3cm[/tex]
So, the wavelength is:
[tex]\lambda = B - A[/tex]
[tex]\lambda = 2.3cm - 0.6cm[/tex]
[tex]\lambda = 1.7cm[/tex]
If approximated, the wavelength is:
[tex]\lambda \approx 2cm[/tex]
using a diagram explain how acceleration can be obtained from a velocity time graph
Answer:
For any v-t graph the acceleration is the slope of the graph. For average acceleration in a time period ‘t’ consider the change in velocity in time t and divide it by the time t. For instantaneous acceleration you need to go into the realm of differential calculus.
Explanation:
I hope this helps! I would really appreciate it if you would please mark me brainliest! Have a blessed day!
A man lifts a 5 Newton bag of groceries
from the floor to the top of the countertop,
which is 1.1 meters tall. What is the work
done by this person in lifting groceries?
5
5.5
4.5
6
Can you please help me?
Answer:
2nd one
Explanation:
highest frequency shortest wavelength
Answer:
highest frequency shortest wavelength
If the mass of an object is 200kg and the applied force is 2600N, calculate the Acceleration.
Answer:
13 m/s²
Explanation:
Mass of object = 200 Kg
Applied force = 2600 N
Acceleration = ?
Solution:
Definition:
The acceleration is rate of change of velocity of an object with respect to time.
Formula:
a = Δv/Δt
a = acceleration
Δv = change in velocity
Δt = change in time
Units:
The unit of acceleration is m.s⁻².
Acceleration can also be determine through following formula,
F = m × a
a = F/m (N = kgm/s²)
a = 2600 kgm/s² / 200 Kg
a = 13 m/s²
[tex]\\ \rm\longmapsto F=ma[/tex]
[tex]\\ \rm\longmapsto a=\dfrac{F}{m}[/tex]
[tex]\\ \rm\longmapsto a=\dfrac{2600}{200}[/tex]
[tex]\\ \rm\longmapsto a=13m/s^2[/tex]
Which phrase best describes what the graph for
average low temperatures would look like?
rk
O It would run parallel to and below the high
temperature graph.
O It would be a flat line that crosses the high
temperature graph.
O It would be the opposite of the high temperature
graph.
It would be a flat line below the high temperature
graph.
Answer:
i dont know sir
Explanation:
A piece of steel is 11.5cm long at 22C. It is heated to 1221C, close to its melting point. How long is it, in cm, at the high temperature?
Answer:
The length at the final temperature is 11.7 cm.
Explanation:
We need to use the thermal expansion equation:
[tex]\Delta L=\alpha L_{0}\Delta T[/tex]
Where:
L(0) is the initial lengthΔT is the differential temperature, final temperature minus initial temperature (T(f)-T(0))ΔL is the final length minus the initial length (L(f)-L(0))α is the coefficient of linear expantion of steel (12.5*10⁻⁶ 1/°C)So, we have:
[tex]L_{f}-L_{0}=\alpha L_{0}(T_{f}-T_{0})[/tex]
[tex]L_{f}=L_{0}+\alpha L_{0}(T_{f}-T_{0})[/tex]
[tex]L_{f}=0.115+(12.5*10^{-6})(0.115)(1221-22)[/tex]
[tex]L_{f}=0.117\: m[/tex]
Therefore, the length at the final temperature is 11.7 cm.
I hope it helps you!
TEST INTRO 20
The fact that a pen drops when you let it go is an example that can help explain ...
A: the hypothesis of gravity.
B: the theory of gravity.
C: the gravity of the situation.
D: the law of gravity:
Answer:
D
Explanation:
The loudness, L, measured in decibels (Db), of a sound intensity, I, measured in watts per square meter, is defined as , where and is the least intense sound a human ear can hear. Jessica is listening to soft music at a sound intensity level of 10-9 on her computer while she does her homework. Braylee is completing her homework while listening to very loud music at a sound intensity level of 10-3 on her headphones. How many times louder is Braylee’s music than Jessica’s? times louder 3 times louder 30 times louder 90 times louder
Answer:
3 times louder
Explanation:
The Loudness in decibel Db L = 10㏒(I/I₀) where I = sound intensity level and I₀ = threshold of hearing = 10⁻¹² W/m².
Now, for Jessica, I₁ = sound intensity level of Jessica's music = 10⁻⁹
and I₂ = sound intensity level of Braylee's music = 10⁻³
So, substituting the variables into the equation, we have
L₁ = 10㏒(I₁/I₀)
L₁ = 10㏒(10⁻⁹/10⁻¹²)
L₁ = 10㏒(10³)
L₁ = 3 × 10㏒10
L₁ = 30㏒10
L₁ = 30 dB
Now, for Braylee, I₂ = sound intensity level of Braylee's music = 10⁻³
So, substituting the variables into the equation, we have
L₂ = 10㏒(I₁/I₀)
L₂ = 10㏒(10⁻³/10⁻¹²)
L₂ = 10㏒(10⁹)
L₂ = 9 × 10㏒10
L₂ =90㏒10
L₂ = 90 dB
So, the number of times Braylee's music is louder than Jessica's music is L₂/L₁ = 90 dB/30 dB = 3
So, Braylee's music is 3 times louder than Jessica's music
Answer:
3 times louder than Jessica's music
Explanation:
A house painter stands 3.00 m above the ground on a 5.00-m-long ladder that leans against the wall at a point 4.70 m above the ground. The painter weighs 676 N and the ladder weighs 107 N. Assuming no friction between the house and the upper end of the ladder, find the force of friction that the driveway exerts on the bottom of the ladder. If the force of friction is away from the wall, enter a negative value and if the force of friction is toward the wall, enter a positive value.
Answer:
The force of friction that the driveway exerts on the ladder ≈ -176.03 N
Please see attached force diagram created with MS Visio
Explanation:
The height of the house painter above the ground = 3.00 m
The length of the ladder = 5.00 m
The height above the ground at which the ladder leans on the wall = 4.70 m
The weight of the painter = 676 N
The weight of the ladder = 107 N
The angle of inclination of the ladder, arcsin(4.7/5) ≈ 70.05°
For equilibrium, the sum of moments at a point, ∑M = 0
Taking moment about point A gives;
4.7 × R = 107 × 2.5 × cos(arcsin(4.7/5)) + 676 × 3.0/(tan(arcsin(4.7/5)))
R = (107 × 2.5 × cos(arcsin(4.7/5)) + 676 × 3.0/(tan(arcsin(4.7/5))))/4.7 ≈ 176.03
The reaction force at the top of the ladder, R ≈ 176.03 N
For equilibrium, we have;
The sum of the horizontal forces, ∑Fₓ = 0
The reaction at the top of the ladder, R + The force of friction that the driveway exerts on the bottom of the ladder, [tex]F_R[/tex] = 0
R + [tex]F_R[/tex] = 0
∴ R = [tex]-F_R[/tex]
R ≈ 176.03 N = [tex]-F_R[/tex]
∴ [tex]F_R[/tex] = -176.03 N
Therefore, the force of friction that the driveway exerts on the bottom of the ladder, [tex]F_R[/tex] ≈ -176.03 N (acting away from the wall).
True or False? Index Fossils are used to help constrain the relative age of the rocks in an area?
pls help Which one of the following is NOT acceleration
A.
a change in mass
B.
a change in direction
C.
an increase in velocity
D.
a decrease in velocity
Answer:
C
Explanation:
Am increase in velocity?
Answer:
change in mass is not acceleration
I want simple machine is shown in the diagram
Answer:
A Wheel and Axle
Explanation:
When a ball is being lifted work is being done to it, giving it ______ energy.
During which process does layer upon layer of sediment build up, exerting pressure on the layers below?
a. erosion
b. compaction
c. conglomerate
d. weathering
