It take to reach merging speed at 70mph is 10.6 s
How long does it take to reach merging speed at 70mph?You should be travelling at or close to the speed of the oncoming traffic when merging into the motorway. It's acceptable if you move a little more slowly, but the goal is to prevent traffic congestion. To increase your speed and enable a seamless traffic merge, take use of the time you have on the ramp or in the merging lane.
Step one:
given data
acceleration, a= 14ft/sec^2
final velocity v= 70mph
first, let is convert mph to ft/sec
1mph is 1.46667 ft/sec
70 mph is x
cross multiply we have
x= 102.7ft/s
Step two:
we are using the first equation of motion
v=u+at
initial velocity u= 0m/s
102.7=0+14*t
102.7=14t
divide both sides by 10
t=10.6seconds
Therefore It take to reach merging speed at 70mph is 10.6 s
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The Kentucky Derby is a 1¼ mile race. Mandaloun ran it in 1.52 minutes. Hot Rod Charlie ran at a speed of .79 miles per minute. Who won the race?
Answer:
Mandaloun won the race.
Explanation:
First, we will calculate the time taken by the Hot Rod Charlie:
\(s = vt\\t = \frac{s}{v}\)
where,
t = time taken by Hot Rod Charlie = ?
s = distance covered = 1.25 miles
v = speed of Hot Rod Charlie = 0.79 miles/min
Therefore,
\(t = \frac{1.25\ miles}{0.79\ miles/min} \\t = 1.58 min\)
Since Hot Rod Charlie took more time (1.58 min) than the Mandaloun (1.52 min).
Therefore Mandaloun won the race.
Vector C is 6.28 m long in a105° direction. Vector D is3.09 m long in a 233° direction.Find the magnitude of theirvector sum.
The magnitude of the vector sum = 5.01 m
Explanations:Step 1: Find the horizontal and vertical components of vector C
\(\begin{gathered} \text{The horizontal component: C}_x=\text{ }6.28\cos 105 \\ C_x=\text{ }-1.625m \\ \text{The vertical componet: C}_y=\text{ 6.28}\sin 105 \\ C_y=\text{ }6.066m \end{gathered}\)Step 2: Find the horizontal and vertical components of vector D
\(\begin{gathered} \text{The horizontal component: D}_x=\text{ 3.09}\cos 233 \\ D_x=\text{ }-1.86m \\ \text{The vertical componet: D}_y=\text{ 3.09}\sin 233 \\ D_y=\text{ }-2.468m \end{gathered}\)Step 3: The vector sum (A) is found by adding the x and y componets of vectors C and D
\(\begin{gathered} A_x=C_x+D_x \\ A_x=\text{ -1.625 + (-1.86)} \\ A_x=\text{ }-3.485m \end{gathered}\)\(\begin{gathered} A_y=C_y+D_y \\ A_y=\text{ 6.066+}(-2.468) \\ A_y=\text{ }3.598m \end{gathered}\)The vector sum is therefore:
\(\begin{gathered} A=A_xi+A_yj \\ V\text{ = }-3.485i+3.598j \end{gathered}\)Step 4: The magnitude of the vector sum is therefore:
\(\begin{gathered} |V|\text{ = }\sqrt[]{(-3.485)^2+(3.598)^2} \\ |V|\text{ = }\sqrt[]{25.09} \\ |V|\text{ = }5.01 \end{gathered}\)The magnitude of the vector sum = 5.01 m
When the car engine is hot, _________
A. Gently apply pressure and slowly twist the radiator cap counter clockwise.
B. Tap on the top of the radiator cap three times, apply a cloth over the cap, and remove the cap quickly.
C. Both 1 and 2 above will work.
D. Never remove the radiator cap.
Answer:
Option D:
Never remove the radiator cap.
Explanation:
When the car engine is hot, especially during a situation where the engine is overheating, NEVER REMOVE THE RADIATOR CAP.
This is because the water in the radiator is now at a very high temperature and pressure. Once the cap is slightly twisted, this high-pressure water can violently erupt through the radiator cap spewing hot water on the face of the persons closest to it.
The best practice is to allow the car engine to cool down before the radiator is opened.
C) The man raises his body a vertical distance of 0. 63 m to go from stage 1
to stage 2. Calculate the work done by the man. Use your answer to part
(b)Use the equation: work done = force x distance
The work done by the man in lifting his body is 493.92J.
What is work done?
When an object is moved over a specific distance by an external force, the quantity of energy transferred to it is called work. The quantity of energy transmitted to an object through work is referred to as the work done on the thing. Since the man raises his body a vertical distance of 0.63m to go from stage 1 to stage 2 he is doing work against gravity. So, the work done in this case is given by W=mgh where m is the mass of the body, g is the acceleration due to gravity and h is the height raised by the body.
Now, according to the question
Mass of the man=80Kg
Height raised by the man=0.63m
Acceleration due to gravity=9.8
On substituting the values in the given formula, we get the work done as
W=80×9.8×0.63
W=493.92J
Therefore, the work done by the man is 493.92J.
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rank the automobiles based on the magnitude of the force needed to stop them, from largest to smallest. rank from largest to smallest. to rank items as equivalent, overlap them. if the ranking cannot be determined, check the box below.
The ranking of the cars from the largest to smallest based on the linear momentum, size of impulse and force needed to stop them is,
Light blue car = Purple car > Red car = Yellow car = Blue car > Green car
The linear momentum of each car can be calculated by;P = mu
where;
m is the mass of the automobile
u is linear speed of the automobile
The linear momentum of the Red car is given as;
P = 1000 x 10 = 10, 000 kg.m/s
The linear momentum of the Yellow car is given as;
P = 2,000 x 5 = 10,000 kg.m/s
The linear momentum of the Blue car is given as;
P = 500 x 20 = 10,000 kg.m/s
The linear momentum of the Light blue car is given as;
P = 1,000 x 20 = 20,000 kgm/s
The linear momentum of the Green car is given as;
P = 500 x 10 = 5,000 kg.m/s
The linear momentum of the Purple car is given as;
P = 4,000 x 5 = 20,000 kg.m/s
we can defined Impulse as the change in linear momentum;
J = ΔP
J = m(u - v)
J = mu = P
The force needed to stop each car is directly proportional to the impulse needed to stop the car.
Force x t = J
where;
t is the time of motion
Thus, we can conclude that the linear momentum of each car is directly proportional to the impulse and force needed to stop it.
P ∝ J ∝ Force
Ranking the cars from the largest to smallest based on the linear momentum, size of impulse and force needed to stop them;
Light blue car = Purple car > Red car = Yellow car = Blue car > Green car
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Complete question:
Six automobiles are initially traveling at the indicated velocities. The automobiles have different masses and velocities. The drivers step on the brakes and all automobiles are brought to rest. Red Car: 1000kg, 10m/s Yellow Car: 2,000kg, 5m/s Blue Car: 500kg, 20m/s Light Blue Car: 1,000kg, 20m/s Green Car: 500kg, 10m/s Purple Car: 4,000kg, 5m/s Part A Rank these automobiles based on the magnitude of their momentum before the brakes are applied, from largest to smallest. Rank from largest to smallest. To rank items as equivalent, overlap them. Part B Rank these automobiles based on the magnitude of the impulse needed to stop them, from largest to smallest. Rank from largest to smallest. To rank items as equivalent, overlap them. Part C Rank the automobiles based on the magnitude of the force needed to stop them, from largest to smallest. Rank from largest to smallest. To rank items as equivalent, overlap them. if the ranking cannot be determined, check the box below.
a circuit has three resistors connected in series. resistor r2 has a resistance of 200 ohms and a voltage drop of 30 volts. what is the current in resistor r3?
The current through resistor R3 is 0.33 A. A circuit with three resistors connected in series is shown below: Circuit diagram of three resistors connected in series As per the given information, R2 has a resistance of 200 ohms and a voltage drop of 30 volts.
Therefore, the voltage drop across R1 is V1 = V - V2 - V3V = voltage supplied to the circuit = voltage drop across R1 + voltage drop across R2 + voltage drop across R3R1 = Resistance of resistor R1.R2 = Resistance of resistor R2 = 200 Ω.V3 = Voltage drop across resistor R3.I3 = Current through resistor R3.To calculate the current in resistor R3, let's follow the steps given below.Step 1: Find the voltage drop across R1.Using Ohm's Law, the voltage drop across R2 is V2 = IR2Substitute the values of V2 and R2 to get the value of current I.I = V2/R2I = 30/200I = 0.15 A
Using Kirchhoff's voltage law, the voltage drop across R1 isV1 = V - V2 - V3V = V1 + V2 + V3Substitute the values of V, V2, and V3 to get the value of V1.V1 = V - V2 - V3V1 = 100 - 30 - V1V1 = 70 VStep 2: Find the current through R3.Using Ohm's Law, the voltage drop across R3 is V3 = I3R3.Substitute the values of V3 and R3 to get the value of current I3.I3 = V3/R3I3 = (V - V1 - V2)/R3I3 = (100 - 70 - 30)/R3I3 = 0.33 A
Therefore, the current through resistor R3 is 0.33 A.
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what is the prmary source of energy inside of the earth
Which type of wave moves both energy and the particles in the same direction as the medium?
Answer:
Longitudinal waves
Explanation:
With sound waves, the energy travels along in the same direction as the particles vibrate. This type of wave is known as a longitudinal wave , so named because the energy travels along the direction of vibration of the particles.
Please help
How would u define energy
Energy is being produced in two different ways.
1st. when you run, exercise, etc allot of energy is being produced from your body in form of heat.
2nd. energy which is in form of coal, electricity, gas etc.
Definition: the capacity for doing work. It may exist in potential, kinetic, thermal, electrical, chemical, nuclear, or other various forms. There are, moreover, heat and work—i.e., energy in the process of transfer from one body to another.
hope this helps you
have a great day :)
please help need answer NOW <3
it is simple 6th grade science but I'm in 6th grade so I don't know
please help
Answer:
The black swimmer, the black cra ppie
Explanation: Well first of tertiary consumer is a carnivore at the topmost level in a food chain that feeds on other carnivores; an animal that feeds only on secondary consumers.
The whirl gig beetle, water cricket are secondary consumers and the copepod and water flea is a primary consumer.
What are some questions engineers should ask when researching a problem?
Who will this help?
How long will it take to get it right?
What a materials can be used to solve the problem?
How much will the project cost?
Answer:
is this a check all that apply or a single answer?
FILL IN THE BLANK.the rate of vibration of a sound is called its _____. response vibration frequency decibel
The rate of vibration of a sound is called its frequency.
Frequency is measured in hertz (Hz), and it is the number of times a sound wave vibrates per second. The higher the frequency, the higher the pitch of the sound. For example, a piccolo has a higher frequency than a tuba, so it has a higher pitch.
Response, vibration, and decibel are all related to sound, but they are not the same as frequency. Response is how the ear and brain react to sound. Vibration is the movement of air molecules that creates sound waves. Decibel is a unit of measurement for sound intensity.
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How does the present day model of the atom DIFFER from the Rutherford’s model? How does the present day model of the atom SIMILAR to Rutherford’s model?
Answer:
The present day model shows a nucleus composed of protons and neutrons with cloud-like spheres of different diameters surrounding the nucleus to represent the energy levels of the electrons in the atom. Rutherford's model shows electrons orbiting the nucleus along fixed, but similar- diameter circular paths.
Both models show the composition of the nucleus at the center of the atom and the much smaller electrons at some distance from the nucleus.
Explanation:
Neither of the models does a good job of representing the relative size differences of the protons, neutrons and electrons, or the distance between the nucleus and the "electron clouds."
an object with no forces acting on it, will continue to move with constant:
true or false
True. An object with no forces acting on it will continue to move with constant velocity. When there are no external forces acting on an object, its velocity does not change.
The object, on the other hand, maintains a steady motion with the same speed and direction. This is known as Newton's first law of motion, also known as the law of inertia. Newton's first law of motion states that an object at rest will remain at rest, and an object in motion will remain in motion at a steady velocity in a straight line until an external force acts upon it. This implies that if there is no net force acting on an object, it will remain stationary or continue to move at a constant velocity. Newton's first law of motion may be used to explain why drivers and passengers in a vehicle continue to move forward when the vehicle brakes abruptly, while objects in the car that aren't strapped down may go flying. According to Newton's first law of motion, an object in motion remains in motion at the same speed and in the same direction unless acted upon by an external force. Because the person's body is in motion, it will continue to move forward at the same speed as the car until an external force, such as the seatbelt or airbag, brings it to a stop.
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Can someone help please I will give brainliest
The action spectrum is broader than the absorption spectrum because:_________
The action spectrum is broader than the absorption spectrum because the action spectrum represents the overall efficiency of photosynthesis, while the absorption spectrum only shows the wavelengths of light absorbed by pigments.
In the action spectrum, a wider range of wavelengths contributes to photosynthesis, as it takes into account the energy conversion process and the involvement of accessory pigments that can absorb different wavelengths and transfer energy to the main photosynthetic pigments.
This results in a broader action spectrum compared to the absorption spectrum.
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Pb1. A signal with power 100 mW is launched into a communication system. The system has a total gain of 20 dB and a total loss of -13 dB. What is the output power in mW?
The output power in mW is 3.98 mW. In this communication system, the input power is 100 mW, and the system has a total gain of 20 dB and a total loss of -13 dB.
For calculating the output power, first, convert the gain and loss values from dB to a linear scale.
The gain of 20 dB can be converted to a linear scale using the formula:
\(Gain (linear scale) = 10^{(Gain (dB) / 10)}.\)
So,\(Gain (linear scale) = 10^{(20/10)} = 100.\)
Similarly, the loss of -13 dB can be converted to a linear scale using the formula:
\(Loss (linear scale) = 10^{(Loss (dB) / 10)}.\)
So,\(Loss (linear scale) = 10^{(-13/10)} = 0.0501.\)
Now, calculate the output power by multiplying the input power by the gain and dividing it by the loss.
Output power = (Input power) * (Gain (linear scale) / Loss (linear scale))
= 100 * (100 / 0.0501) = 3.98 mW.
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The wavelength of blue light is greater than red light and its energy is greater. (True or False)
Blue light has shorter wavelengths, 450–495 nanometres, on average. Blue light has a higher frequency and much more energy than red light. The wavelength of blue light is greater than red light and its energy is greater is false.
The wavelength of an electromagnetic wave provides details about its length. The distance here between "crests" (tops) of related waves is known as the wavelength. The same wavelength can also be determined by making observations from the "groove" (bottom) from one waveform to the "trough" of the next.
Examples of electromagnetic fields with particular wavelengths & greater frequency include gamma rays, Cross, and ultraviolet light. Longer wavelengths & lower harmonics of electromagnetic fields include thermal light, microwaves, radio signals, and televisions waves.
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What is the magnitude BBB of the magnetic field at the location of the charge due to the current-carrying wire
The magnitude of the magnetic field at the location of the charge due to the current-carrying wire is given as B = μI/2πr.
What is magnetic field?A magnetic field is a vector field that describes the magnetic influence on moving electric charges, electric currents, and magnetic materials.
A moving charge in a magnetic field experiences a force perpendicular to its own velocity and to the magnetic field.
magnetic field due to the current-carrying wireThe magnitude of the magnetic field at the location of the charge due to the current-carrying wire is calculated as follows;
B = μI/2πr
where;
I is the current in the wirer is the location of the magnetic fieldμ is permeability of free spaceThus, the magnitude of the magnetic field at the location of the charge due to the current-carrying wire is given as B = μI/2πr.
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A ball hits a bat with a velocity of 30 m/s and leaves the bat travelling with a velocity of 20 m/s in the opposite direction m. The ball is in contact with the bat for 0.10 s. What is the magnitude of the acceleration of the ball whilst it is in contact with the bat?
Answer:
100 m/s^{2}
Explanation:
the given information we have is:
vi = 30m/s
vf = 20m/s
t = 0.10s
we need to find a so we will use the following kinematics equation
\(vf=vi+at\)
we can rearrange the equation so it will give us our desired answer like so:
\(a = \frac{vf-vi}{t}\)
now we can plug in our given numbers
\(a = \frac{20 m/s - 30 m/s}{0.10s}\)
which will equal
\(100 m/s^{2}\)
hammer falls off a roof top and strikes the ground with a certain kinetic energy. If it fell
from a roof twice as tall, how would its kinetic energy compare?
Answer:
If the starting GPE is doubled than it's KE would also double.
Helpppp please right now
Answer: A& B
Explanation:
edwin hubble noticed that as galaxies move away from our galaxy a shift on the electromagnetic spectrum (ems) is noticed. this phenomenon is called .
It was discovered by Edwin Hubble that the electromagnetic spectrum changes when galaxies travel away from our galaxy. Redshift refers to this occurrence.
How is the separation between galaxies in our universe changing?The distance between galaxies increases as the universe enlarges, and this causes the apparent velocity for the farther away galaxies to appear to be greater. The fact that all galaxies appear to be revolving away from us does not make the Earth or the Milky Way unique in this regard.
What is the reason for the separation of galaxies?High-frequency EMR waves having the shortest wavelengths. High energy, only emitted during nuclear reactions. from the Big Bang, leftover energy.
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A cliff jumper runs off a 15\,\text m15m15, start text, m, end text high cliff. Rocks extend 3.0\,\text m3.0m3, point, 0, start text, m, end text past the cliff bottom. We can ignore air resistance.
1.7 m/s is the horizontal velocity that is required to clear the rocks.
As the jumper runs off a 15 m high cliff.
And according to the question, starts with 0 velocities in the start direction thus he covers 15 m.
Given,
x = 15 m
a = g = 9.8 m, which is the acceleration due to gravity.
iv is the initial velocity which is 0, vo = 0
vf is the final velocity,
Using 2nd equations of motion,
x = iv × t + (1 ÷ 2) a × t²
15 = 0 + ((1 ÷ 2) × ( 9.8) × t²)
t = 1.75
Thus, the time is 1.75 seconds.
Using the same equation, horizontal velocity will be:
x = iv × t + (1 ÷ 2) a × t²
3 = vf × (1.75) + 1 ÷ 2 × (0) × (1.75)
vf = 1.7
Therefore, The horizontal velocity required to cover the rocks is 1.7 m/s.
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(Fill In The Blanks Plz)
The compound, 3Na3PO4, has _____ molecules, ______ P atoms, and _____ Na atoms. There are _______ total atoms shown in the formula.
Answer:
No. of Molecules = 18.06 x 10²³ molecules
No. of Atoms of P = 3 atoms
No. of Atoms of Na = 9 atoms
Total No. of Atoms = 24 atoms
Explanation:
FOR NUMBER OF MOLECULES:
\(No.\ of\ Molecules = (No.\ of\ Moles)(Avigadro's\ Number)\\No.\ of\ Molecules = (3)(6.02\ x\ 10^{23}\ molecules})\\\)
No. of Molecules = 18.06 x 10²³ molecules
FOR NUMBER OF P ATOMS:
\(No.\ of\ Atoms\ of\ P = (No.\ of\ Moles)(N.\ of atoms of P)\\No.\ of\ Atoms\ of\ P = (3)(1\ atom})\)
No. of Atoms of P = 3 atoms
FOR NUMBER OF Na ATOMS:
\(No.\ of\ Atoms\ of\ Na = (No.\ of\ Moles)(N.\ of atoms of Na)\\No.\ of\ Atoms\ of\ Na = (3)(3\ atom})\)
No. of Atoms of Na = 9 atoms
FOR TOTAL NUMBER OF ATOMS:
\(Total\ No.\ of\ Atoms = (No.\ of\ Moles)(N.\ of\ atoms\ of\ Na + No.\ of\ atoms\ of\ P + No.\ of\ atoms\ of\ O)\\ Total\ No.\ of\ Atoms\ = (3)(3\ atoms + 1\ atom + 4\ atoms}) = (3)(8\ atoms)\)
Total No. of Atoms = 24 atoms
A solid weighs 0.9N in air and 0.2N in a liquid of density 700kg/m^3. Calculate
i) the upthrust
ii) the volume of the solid
The correct answer is Upthrust= 0.7N and Volume = 1.02 x 10⁻² g
Solid weighs.09 N in air.
Solid weighs less than liquid because of an upward force operating on it (solid weighs in liquid =.02 N).
A solid body experiences an upthrust when it is partially or entirely submerged in a fluid, such as water. In this case, the fluid's weight (water) equals the fluid's weight that the water has displaced.
upthrust is = to.09 -.02 N = 0.7N.
Upthrust = displaced liquid's weight
so that weight of liquid equal to volume of solid = 0.7 N
Volume of solid times mass of liquid = 0.07/9.8 = 0.00714 = 7.14 x 10⁻³ kg
Volume = Mass / density
Volume = 7.14 x 10⁻³ / 700
= 1.02 x 10⁻⁵ kg= 1.02 x 10⁻² g
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What two things must exist for an electric current to be produced?A pair of highly conductive materials and a conducting path between themA source of voltage and an open circuitA negatively charged electrode and a positively charged electrodeAn electric potential between two bodies and a conducting path joining the bodies
The two things that must exist for an electric current to be produced are:
An electric potential between two bodies and a conducting path joining the bodies.
This comes from the fact that when there is a potential difference there is an electrical field and hence a force that makes some free charges to move in the conductor. For this reason, there's an electrical current.
Answer: An electric potential between two bodies and a conducting path joining the bodies
Is a structure stable when force is applied in a certain direction?
Answer:
It can be, but no, mostly it won't be, and it will fall.
Explanation:
When you put force on a structure it will most likely fall unless, it's a big statue.
6. Borax was mined in Death Valley, California, during the nineteenth century. It
was transported from the valley by massive wagons, each pulled by a team of
21 mules. Suppose each mule's power output was 746 W (about 1 hp). If in a
certain time interval the total work done by the team on the wagon was
2.35x 10' J, how long was that interval of time?
The interval of time it takes for the team to do a work of 2.35×10⁷ J is 15000 seconds.
What is time?Time can be defined as an ongoing and continuous sequence of events that occur in succession, from past through the present, and to the future.
To calculate the time interval the work was done by the team on the wagon, we use the formula below.
Formula:
t = W/P........... Equation 1Where:
t = Interval of time it takes the team to do the workW = Total work done by the team on the wagonP = Power output of the teamFrom the question,
Given:
W = 2.35×10⁷ JP = 746×21 ( If each mole power output is 746 W)P = 15666 WSubstitute these values into equation 1
t = 2.35×10⁷/15666t = 1500 seconds.Hence, the interval of time it takes to the the work is 15000 seconds.
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How does shaking the box represent the energy given off by the radioactive
elements when they become stable?
Answer:
shaking the box requires energy given off when the elements change to become stable.