The value of constant acceleration is 0.29m/s
Given that Haley is driving down a straight highway at 73 mph. A construction sign warns that the speed limit will drop to 55 mph in 0.50 mi.
we have to find out constant acceleration (in ) that will bring Haley to this lower speed in the distance available
we know that,
1mile= 1.609km
1 km/h = 5/18m/s
Initial Speed of Haley(u)= 73mph=73×1.609×(5÷18) =32.63m/s
Final Speed of Haley(v)= 55 mph=55×1.609×(5÷18)=24.58m/s
The distance to be travelled while lowering the speed(S)= 0.5mile=0.805km=805m
according to third equation of motion,v²-u²=2as
as speed is lowering down the acceleration will be in the opposite direction of motion, hence acceleration will be negative, equation will become u²-v²=2as
putting values,(32.63)²-(24.58)²=2a×805
a=(460.55÷1610)
a≅0.29m/s²
the constant acceleration that will drop speed to is 0.29m/s².
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The diagram below snows snapshots of an oscillator at different times. What is the period of the oscillation?
Hi there!
The period of an oscillation is the amount of time taken by the object to go back to its ORIGINAL position.
The block is at + 0.10 m at t = 0.0 s and t = 1.80 s.
Thus, the period of the oscillation is 1.80 sec.
M A proton accelerates from rest in a uniform electric field of 640 N/C . At one later moment, its speed is 1.20 Mm/s (nonrelativistic because v is much less than the speed of light). (d) What is its kinetic energy at the end of this interval?
a. Acceleration of the proton is 9.71 x 10¹³ m/s². b. 1.24 x 10⁻⁸ seconds for the proton to reach its speed of 1.20 Mm/s. c. Proton has moved 9.57 x 10⁻⁸ meters. d. kinetic energy of the proton is 1.01 x 10⁻¹³Joules
(a) To find the acceleration of the proton, we can use the equation of motion in a uniform electric field:
\(F = q * E\)
where F is the force acting on the proton, q is the charge of the proton, and E is the electric field strength.
Electric field strength (E) = 640 N/C
Charge of the proton (q) = +1.6 x 10^-19 C (elementary charge)
Using the formula F = m * a, where m is the mass of the proton, we can solve for the acceleration:
\(q * E = m * a\\ a = (q * E) / m\)
Plugging in the values, we have:
\(a = ((1.6 * 10^-19 C) * (640 N/C)) / (1.67 * 10^-27 kg) = 9.71 * 10^13 m/s^2\)
Therefore, the acceleration of the proton is approximately 9.71 x 10¹³ m/s².
(b) To determine the time interval it takes for the proton to reach its final speed, we can use the equation of motion:
\(v = u + a * t\)
where v is the final velocity, u is the initial velocity (which is zero in this case since the proton starts from rest), a is the acceleration, and t is the time interval.
Plugging in the values, we have:
\(1.20 * 10^6 m/s = 0 + (9.71 * 10^13 m/s^2) * t\\ t = (1.20 * 10^6 m/s) / (9.71 * 10^13 m/s^2) \\ t= 1.24 * 10^-8 s\)
Therefore, it takes approximately 1.24 x 10⁻⁸ seconds for the proton to reach its speed of 1.20 Mm/s.
(c) To calculate the distance traveled by the proton in that time interval, we can use the equation of motion:
\(s = u * t + (1/2) * a * t^2\)
Since the initial velocity (u) is zero, the equation simplifies to:
\(s = (1/2) * a * t^2\)
Plugging in the values, we have:
\(s = (1/2) * (9.71 x 10^13 m/s^2) * (1.24 x 10^-8 s)^2 \\ s= 9.57 x 10^-8 m\)
Therefore, the proton has moved approximately 9.57 x 10⁻⁸ meters in that time interval.
(d) The kinetic energy (KE) of the proton at the end of this interval can be calculated using the formula:
\(KE = (1/2) * m * v^2\)
where m is the mass of the proton and v is its final velocity.
Given:
Mass of the proton (m) = 1.67 x 10^-27 kg
Final velocity (v) = 1.20 x 10^6 m/s
Plugging in the values, we have:
\(KE = (1/2) * (1.67 x 10^-27 kg) * (1.20 x 10^6 m/s)^2 \\ KE=1.01 x 10^-13 J\)
Therefore, the kinetic energy of the proton at the end of this interval is approximately 1.01 x 10⁻¹³Joules.
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The Complete question is
A proton accelerates from rest in a uniform electric field of 640 N/C. At one later moment, its speed is 1.20 Mm/s (nonrelativistic because v is much less than the speed of light).
(a) Find the acceleration of the proton.
(b) Over what time interval does the proton reach this speed
(c) How far has it moved in that interval?
(d) What is its kinetic energy at the end of this interval?
Write True if the sentence is correct. If false, explain why the statement is incorrect. Write your answers on the blanks.
We will have the following:
1. True.
2. False. Mechanical waves need a medium to travel.
3. True.
4. True.
5. True.
Pressure of 76cm of mercury column is pa
The pressure of 76 cm of mercury column is 10132.5 Pa.
Pressure, in the physical sciences, the perpendicular force per unit area, or the stress at a point within a confined fluid.
The pressure of 76 cm of mercury column can be converted to Pascals (Pa) using the following conversion factor:
1 atm = 101325 Pa
760 mmHg = 1 atm
Therefore,
76 cm Hg = (76/760) atm = 0.1 atm
Now, we can convert this pressure in atm to Pascals using the following conversion factor:
1 atm = 101325 Pa
Therefore,
0.1 atm = 0.1 * 101325 Pa = 10132.5 Pa
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--The complete question is, Pressure of 76cm of mercury column is ______ pa.--
Why can objects be made to float in a magnetic field?
O A. Every object has a strong magnetic field.
O B. Every object has atoms that have magnetic fields.
C. Every object acts like a solenoid.
D. Every object makes a magnetic field when it is exposed to a household magnet.
it is harmful to settle near the airport why
draw a figure of a simple pendulum explain its amplitude and effective length ?
Answer:
Explanation:
A simple pendulum consists of a mass (usually represented as a small object or bob) attached to a string or rod of negligible mass. The mass is free to swing back and forth under the influence of gravity.
In the figure, the point of suspension is denoted by "O," and the mass (bob) is represented by the small circle. The string or rod is represented by the vertical line connecting the point of suspension to the bob.
Amplitude:
The amplitude of a pendulum refers to the maximum displacement or swing of the bob from its equilibrium position. In the figure, the amplitude can be represented by the angle formed between the vertical position and the position of the bob when it swings to its maximum distance on one side. It is usually denoted by the symbol "A."
Effective Length:
The effective length of a pendulum refers to the distance from the point of suspension to the center of mass of the bob. It represents the distance over which the mass swings back and forth. In the figure, the effective length can be measured as the length of the string or rod from the point of suspension to the center of the bob. It is usually denoted by the symbol "L."
It is important to note that the amplitude and effective length of a simple pendulum affect its period of oscillation (the time taken for one complete swing). The relationship between these parameters and the period can be described by mathematical formulas.
Overall, the simple pendulum is a fundamental concept in physics and provides a simplified model for understanding oscillatory motion and the principles of periodic motion.
Which of the following are considered alternative sources of energy? (Select three) a. geothermal power h wind power wered Coal-based power d. nuclear power e. gas power The most controversial form of alternative energy is a. wind power b. biofuels geothermal power d. nuclear power e. hydropower
Alternative sources of energy among the given options are wind power, geothermal power, and nuclear power
Alternative sources of energy are those that can be used as an alternative to traditional fossil fuels like coal, oil, and gas. They are typically more sustainable and have a lower environmental impact.
From the given options, the following are considered alternative sources of energy:
1. Wind power: Wind power harnesses the energy from the wind to generate electricity. Wind turbines capture the kinetic energy of the wind and convert it into electrical energy. This is a renewable source of energy that does not produce greenhouse gas emissions.
2. Geothermal power: Geothermal power utilizes the heat from the Earth's core to generate electricity. This energy is extracted by tapping into hot water or steam reservoirs beneath the surface. Geothermal energy is considered a clean and renewable source of power.
3. Nuclear power: Although controversial, nuclear power is considered an alternative source of energy. It involves the process of nuclear fission, where the energy released from splitting atoms is used to generate electricity. Nuclear power plants do not emit greenhouse gases during operation, but concerns regarding safety and waste disposal exist.
The most controversial form of alternative energy among the given options is nuclear power. While it does not emit greenhouse gases during operation, there are concerns about the potential risks associated with accidents and the disposal of radioactive waste.
It's important to note that other alternative sources of energy exist, such as solar power, hydropower, and biomass energy. These sources also play a significant role in reducing reliance on fossil fuels and mitigating climate change.
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Geothermal Power, Wind Power, and Nuclear Power are alternative sources of energy. They are sustainable, clean, and are replenished naturally. However, Nuclear Power, while efficient, is controversial due to the risks involved.
Explanation:The three alternative sources of energy from the given options could be: a. Geothermal Power, b. Wind power, and d. Nuclear Power. Alternative energy sources are those that are replenished by ongoing natural processes over human timescales as they provide energy in a clean and sustainable way. These alternatives do not rely on fossil fuels and hence, are environment-friendly and can help mitigate issues related to carbon emission and global warming.
Among these, the most controversial form of alternative energy could be considered d. Nuclear Power. While it is a powerful and efficient source of energy, it has serious associated risks including radioactive waste disposal, environmental damage due to accidents, and potential misuse of nuclear technology.
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Hi could you please help me answer this question. This is grade 12 electricity
So here, we use the equation:
W = ΔKE + ΔPE
Recall that: KE = 0.5mv^2, and PE = qdΔV/D
ΔKE = 0.5m(v2)^2 - 0.5m(v1)^2, where v2 and v1 are Initial and final velocity respectively.
ΔPE = PE2 - PE1
PE2 = 0, since all energy is converted to other forms, mainly kinetic energy.
PE1 = q(d1)ΔV/D
Here, W = 0.
0 = 0.5m(v2)^2 - 0.5m(v1)^2 + 0 - q(d1)ΔV/D
Simplifying a bit, and knowing that d1 = D,
0 = 0.5m((v2)^2 - (v1)^2) - qΔV
Moving qΔV to the other side,
qΔV = 0.5m((v2)^2 - (v1)^2)
Dividing by q and isolating ΔV,
ΔV = 0.5m * ((v2)^2 - (v1)^2) / q
Now, we have ΔV, which is the electric potential difference, in terms of all the variables we know.
m = 9.1 * 10^-31
v2 = 1 * 10^6
v1 = 5 * 10^6
q = 1.602 * 10^-19 (this is a well known constant)
ΔV = 0.5*9.1*10^-31 * ((5*10^6)^2 - (1*10^6)^2) / 1.602*10^-19
Solving and simplifying all of this, we get that
ΔV = 68.25 V
\(0.5mv_2^2\text{ - 0.5mv}_1^2\)HELPPP!! ASAPPP!! PLEASEEE
Answer: 9.675 Hz .
Explanation:
Given, velocity of waves = 12.9 m/s
Length of string = 2.00 m
Let \(\lambda\) be the wavelength , then for 3 loops
\(\dfrac{3}{2}\lambda= \text{length of string}\\\\\Rightarrow\ \dfrac{3}{2}\lambda= 2\ m\\\\\Rightarrow\ \lambda= \dfrac{4}{3}\ m\)
Now , velocity = frequency x wavelength
Then, frequency = \(\dfrac{velocity}{wavelength}\)
\(=\dfrac{12.9\times3}{4}\\\\=9.675\ Hz\)
hence, it will create standing waves with 3 loops at 9.675 Hz .
When vectors are added or subtracted, the net force is called the____.
Sum
Solution
Resultant
Vector quantity
Answer:
When vectors are added or subtracted, the net force is called the resultant force.
Explanation:
Hope i helped, have a nice day/night
Describe what happens to a mass of warm air as it rises.
Please I NEED help!!!
Answer:
because of its height from the ground,the weather up is colder than the ground which makes the air turn cold
what produces a muon antimuon pair
A muon antimuon pair is produced when a high energy photon interacts with a nucleus. This process is known as pair production.
A muon antimuon pair is produced when a high-energy particle, such as a proton or an electron, collides with another particle. This collision causes the creation of a muon and an antimuon, which are essentially the same particle but with opposite charges. The muon is a negatively charged particle, while the antimuon is a positively charged particle. These particles are unstable and quickly decay into other particles, such as electrons and neutrinos. The production of a muon antimuon pair is an important process in particle physics, as it helps scientists to better understand the fundamental forces of the universe.
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tencent corporation has a target capital structure of 70 percent common stock, 5 percent preferred stock, and 25 percent debt. its cost of equity is 11 percent, the cost of preferred stock is 5 percent, and the pretax cost of debt is 6 percent. the relevant tax rate is 23 percent.
Tencent Corporation's target capital structure is 70 percent common stock, 5 percent preferred stock, and 25 percent debt. This means that for every $100 of capital, $70 will come from common stock, $5 will come from preferred stock, and $25 will come from debt.
Tencent's cost of equity is 11 percent, which means that investors expect to earn an 11 percent return on their investment in the company's common stock.
The cost of preferred stock is 5 percent, which means that investors expect to earn a 5 percent return on their investment in the company's preferred stock. The pretax cost of debt is 6 percent, which means that the company must pay an interest rate of 6 percent on its borrowed funds.
The relevant tax rate is 23 percent, which means that the company will have to pay 23 percent of its income in taxes. This will affect the cost of its borrowed funds, since the interest paid on debt is tax-deductible.
The after-tax cost of debt is equal to the pretax cost of debt multiplied by (1 - tax rate), which in this case is 6 percent * (1 - 0.23) = 4.62 percent.
To calculate the company's weighted average cost of capital (WACC), we need to determine the proportion of each type of capital in the company's target capital structure and multiply it by the cost of that type of capital.
The proportion of common stock is 70 percent, and the cost of common stock is 11 percent, so the weighted cost of common stock is 70 percent * 11 percent = 7.7 percent.
The proportion of preferred stock is 5 percent, and the cost of preferred stock is 5 percent, so the weighted cost of preferred stock is 5 percent * 5 percent = 0.25 percent. The proportion of debt is 25 percent, and the after-tax cost of debt is 4.62 percent, so the weighted cost of debt is 25 percent * 4.62 percent = 1.155 percent.
Finally, we can add up the weighted cost of each type of capital to get the company's WACC:
WACC = 7.7 percent + 0.25 percent + 1.155 percent = 9.115 percent
This means that, on average, investors expect to earn a 9.115 percent return on their investment in Tencent Corporation.
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as a marble with a diameter of 1.6 cm rolls down an incline, its center moves with a linear acceleration of 3.3 m>s2 . (a) what is the angular acceleration of the marble? (b) what is the angular speed of the marble after it rolls for 1.5 s from rest?
(a) The angular acceleration of the marble is 12.89 rad/s^2. (b) The angular speed of the marble after 1.5 s is 19.34 rad/s.
The formula for linear acceleration is a = r * α, where r is the radius of the marble and α is the angular acceleration. Since the diameter is given, r = 0.8 cm or 0.008 m. Thus, α = a/r = 3.3 m/s^2 / 0.008 m = 412.5 rad/s^2.
The formula for angular speed is ω = ω0 + α*t, where ω0 is the initial angular speed (0 since it starts from rest), α is the angular acceleration calculated in part (a), and t is the time elapsed (1.5 s). Thus, ω = 0 + 412.5 rad/s^2 * 1.5 s = 618.75 rad/s. However, this is the angular speed at the end of the incline. To find the overall angular speed, we need to use the formula ω^2 = ω0^2 + 2*α*θ, where θ is the angle of the incline. Since it is not given, we cannot calculate the final angular speed accurately.
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How is light different than mechanical waves?
As you grow and learn, your neurons continue to connect, making you better at the
things you do.
False
True
True. When you learn something new neurons make connections and retain that knowledge. That means the more you learn a skill the more connections you make and the more muscle memory you get from doing that skill. Thus you get better at that skill.
Answer:
true
Explanation:
Suppose that you hear a clap of thunder 16.2s after seeing the associated lightning stroke. The speed of sound waves in air is 343 m/s and speed of light in air is 3×10^(8) ms^(-1). How far you are from the lightning stroke?
You are approximately 5550.6 meters away from the lightning stroke.
To calculate the distance between you and the lightning stroke, we can use the fact that the time it takes for light and sound to reach you is related to their respective speeds.
In this case:
Time for sound to reach you (t_sound) = 16.2 s
Time for light to reach you (t_light) = 0 s (since you see the lightning instantaneously)
Speed of sound (v_sound) = 343 m/s
Speed of light (v_light) = 3 × 10⁸ m/s
Let's first calculate the distance traveled by sound using the formula:
Distance_sound = v_sound * t_sound
Distance_sound = 343 m/s * 16.2 s
Distance_sound = 5550.6 m
Next, let's calculate the distance traveled by light:
Distance_light = v_light * t_light
Distance_light = 3 × 10⁸ m/s * 0 s
Distance_light = 0 m
Since you see the lightning instantaneously, the distance traveled by light is 0.
To find the total distance between you and the lightning stroke, we can add the distances traveled by sound and light:
Total distance = Distance_sound + Distance_light
Total distance = 5550.6 m + 0 m
Total distance = 5550.6 m
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A park ranger driving on a back country road suddenly sees a deer in his headlights 20
m ahead. The ranger, who is driving at 11.4 m/s, immediately applies the brakes and
slows down with an acceleration of 3.80 m/s2. How much distance is required for the
ranger's vehicle to come to rest? Only enter the number, not the units.
Answer:
17.1
Explanation:
The distance ahead, of the deer when it is sighted by the park ranger, d = 20 m
The initial speed with which the ranger was driving, u = 11.4 m/s
The acceleration rate with which the ranger slows down, a = (-)3.80 m/s² (For a vehicle slowing down, the acceleration is negative)
The distance required for the ranger to come to rest, s = Required
The kinematic equation of motion that can be used to find the distance the ranger's vehicle travels before coming to rest (the distance 's'), is given as follows;
v² = u² + 2·a·s
∴ s = (v² - u²)/(2·a)
Where;
v = The final velocity = 0 m/s (the vehicle comes to rest (stops))
Plugging in the values for 'v', 'u', and 'a', gives;
s = (0² - 11.4²)/(2 × -3.8) = 17.1
The distance the required for the ranger's vehicle to com to rest, s = 17.1 (meters).
Write 3 things you want to learn about the ocean.
Answer: How it was created, The frequency of the waves, and is the water salty enough to kill someone.
Explanation:
Just from my brain.
Answer: the ecosystem , differnt species of fish, and ship wrecks
Explanation:
:)
The diameter of a watermolecule is 0.000000000275 m. How can this number best be expressed in scientific notation
Answer:
2.75x10⁻¹⁰m
Explanation:
By scientific notation, we have to express 0.000000000275 m in powers.
This can be done by counting the number of zeros after the decimal and the number after 0 which is 2.
from 2 to the decimal point, we have 10 characters
so we express it scientifically as,
= 2.75x10⁻¹⁰m
for easy understanding. i have added an attachment to help you out on how to do this.
suppose an astronaut in outer space suddenly discovers that the tether connecting her to the space station is cut and she is slowly drifting away from the station. assuming that she is wearing a tool belt holding several wrenches, how can she move herself back towards the space station?
The astronaut can she move herself back towards the space station by throwing a tool on the direction opposite to the shuttle.
According to Newton's Third Law, if an astronaut tosses a tool away from the space shuttle, she will exert a force in that direction while also being subject to a reaction force in that same direction. Since there are no drag forces in space, the astronaut's gained acceleration (in accordance with Newton's second law) would eventually propel her back to the shuttle.
According to Newton's second law of motion, force is equal to the rate at which momentum changes. Force is defined as mass times acceleration for a constant mass. Therefore, the astronaut can she move herself back towards the space station by throwing a tool on the direction opposite to the shuttle.
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Which of the following describes a physical change? A. A marshmallow burns over an open flame. B. Icicles melt from a rooftop. C. A cat eats a piece of fish. D. Milk turns sour.
Answer:
B
Explanation:
Icicles melt from a rooftop
Mrs Jones is baking a cake and the recipe calls for 7 ounces of sugar.The only problem is that Mrs Jones scale can only measure in grams.How many grams of sugar will Mrs Jones need to add to her batter?
Initial velocity= 32 m/s Final Velocity=23 m/s Time=? Distance=110 m
Acceleration=?*
O Time = 4 meters per second
O Acceleration = 2.25 meters per second squared
O Time = 2 seconds
O Acceleration = -2.25 meters per second squared
Explanation:
Acceleration = -2.25 meters per and time taken is 4meter second...
In a given chemical reaction, the energy of the products is greater than the energy of the reactants. Which statement is true for this reaction?
A.
Energy is absorbed in the reaction.
B.
Energy is released in the reaction.
C.
No energy is transferred in the reaction.
D.
Energy is created in the reaction.
E.
Energy is lost in the reaction.
Answer:
A - energy is absorbed in the reaction
Explanation:
Write one or two sentences to compare the internal energy of a molecular gas with the internal energy of a monatomic gas.
Place the follow in increasing order of impedance, which order is correct?
A. PZT, matching layer, gel, skin
B. matching layer, gel, PZT, skin
C. PZT, gel, skin, matching layer
D. skin, gel, matching layer, PZT
The correct order of increasing impedance is:
C. PZT, gel, skin, matching layer
Impedance is a measure of the opposition to the flow of sound waves in a medium. It depends on the density and speed of sound in the material. In the given options, the order of increasing impedance can be determined by considering the properties of the materials involved.
PZT (lead zirconate titanate) has a higher impedance than gel, skin, and the matching layer. PZT is a piezoelectric material commonly used in ultrasound transducers and has a higher density and speed of sound, leading to higher impedance.
Gel has a lower impedance compared to PZT but higher impedance than skin and the matching layer. Gel is used as a coupling medium between the transducer and the skin to enhance acoustic coupling and minimize impedance mismatch.
Skin has a lower impedance than both gel and the matching layer. It is the outermost layer and acts as an interface between the transducer and the biological tissue.
The matching layer has the lowest impedance among the given options. It is designed to match the impedance of the PZT to the impedance of the tissue being imaged, facilitating efficient sound transmission.
Therefore, the correct order is C.
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A 31.7 kg kid, initially at rest, slides
down a frictionless water slide at 53.2º.
How fast is she moving 3.45 s later?
Answer:
34.55m/s
Explanation:
Now from Newton's law of motion;
V= U+ a×t
V- final velocity
U- initial velocity = 0m/s
a- acceleration
t- time
Note that a = g/cos53.2°
Now g is acceleration of free fall due to gravity
This is a vertical acceleration since the course of motion is along a plane inclined at 53.2° to the height of the pool.
Also from trigonometry identity
cos 53.2°= vertical component a/ acceleration ( cos a = adjacent/hypothenus)
If we assume g = 9.8m/S2 { a generally given value}
Substituting t = 3.45s as the time of consideration, we have;
V = 0 + (9.8/cos53.2°)×3.45
= -34.55m/s
Note the -ve sign is just telling us this velocity is causing the object to move down.
Hence V = 34.55m/s
Answer:
27.07 m/s
Explanation:
this is the right answer
Help!!
I need correct answer:)
Answer:
4 independent of l and area of cross section
Option D
It's independent of.lemgth or area of cross section of the wire.As
Breaking stree depends upon the material of the wire .