The average acceleration of the race - car driver would be 3.78 m/s².
What is average acceleration?Average acceleration is the rate of change of velocity per unit time. Mathematically -
a = dv/dt [instantaneous acceleration]
dv = adt
∫dv = ∫adt
∫dv = a ∫dt
v₂ - v₁ = a(t₂ - t₁)Δv = aΔt
a = Δv/Δt
Given is a race-car driver who achieved a velocity of 53 m/s in 14 seconds after taking off from rest at the starting line.
We can write -
Initial velocity of the race-car driver [u] = 0 m/s
Final velocity of the race-car driver [v] = 53 m/s
Time taken by the race-car driver [Δt] = 14 seconds
Using the formula for acceleration, we get -
a = Δv/Δt = (v - u)/Δt
Substituting the values -
a = (53 - 0)/14
a = 3.78 m/s²
The acceleration will be 3.78 m/s²
Therefore, the average acceleration of the race - car driver would be 3.78 m/s².
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I need a list of all of these please, not the names, but the accronyms
Answer:
N
O
O
B
Explanation:
D- Dont
G- Get
P- people
T- to
D- do
W- work
F- for
Y-You
how much does a change in mass affect the kinetic energy of two balls of comparable diameter?
Answer:
Mass and kinetic energy have a positive relationship, which means that as mass increases, kinetic energy increases, if all other factors are held constant.
In this state, Kinetic energy is equal to half of the product mass and velocity. SI unit is joules. So it's if the mass is doubled then the kinetic energy also gets doubled.
Two cars are moving in the same direction. If the velocity of the first car is 55m/s & that of the second car is 40 m/s, calculate the relative velocity of the first car second car. If they were moving in the opposite direction, what would be the relative with respect to the velocity? Calculate.
(a) The relative velocity of the second car with respect to the first car is -15 m/s.
(b) The relative velocity of the second car with respect to the first car is 95 m/s when they are moving in opposite directions.
What is the relative velocity of the cars?When two objects are moving in the same direction, the relative velocity of the second object with respect to the first object is the difference between their velocities:
Relative velocity = Velocity of the second car - Velocity of the first car
Relative velocity = 40 m/s - 55 m/s
Relative velocity = -15 m/s
When the two cars are moving in opposite directions, the relative velocity of the second car with respect to the first car is the sum of their velocities:
Relative velocity = Velocity of the first car + Velocity of the second car
Relative velocity = 55 m/s + 40 m/s
Relative velocity = 95 m/s
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can anyone pls help me with any of these questions i need it asap for my finals tmrw
Answer:
Answer:2nd question answer is 2.75Answer:2nd question answer is 2.75Explanation:
Mass of ball is missing in your 1st question.
for 2nd question,
Small cart,
m1 = 1.25kg
u1 = 2.5m/sec
v1 = -0.94m/sec ( negative sign indicate opposite motion)
Large cart,
m2 = ?
u2 = 0 m/s
v2 = 1.56 m/sec
from conservation of linear momentum,
m1*u1 + m2* u2 = m1*v1 + m2*v2
1.25*2.5 + m2*0 = 1.25*-0.94 + m2*1.56
3.125 + 0 = -1.175 + 1.56*m2
3.125 + 1.175 = 1.56*m2
4.3 = 1.56*m2
m2 = 4.3/1.56
m2 = 2.75 kg
if they stuck together instead of bounced. then,
total mass of bodies (m)= m1+m2= 4kg
final velocity of bodies (v) = ?
From , conservation of linear momentum,
m1*u1 + m2* u2 = m*v
1.25*2.5 + 2.75*0 = 4*v
3.125 = 4*v
v = 3.125/4
v = 0.78125 m/ sec.
The large cart has a mass of 2.75kg. This can be identified from the law of conservation of momentum. Its unit is kg.s⁻¹/m.
What is the law of conservation of momentum?Momentum is the quantity that describes the motion of the body. The momentum equals the product of mass and velocity. Momentum= Mass/velocity. It depends on the velocity as velocity changes momentum also changes.
The law of conservation of momentum states that the initial and final momentums are the same in the system. It shows that the momentum of the system remains constant, before and after the collision.
In an isolated system of two bodies acting on each other, total momentum remains constant in the absence of external forces. It can neither be created nor destroyed.
Law of conservation of momentum:
Total momentum before collision = Total momentum after the collision
m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂
From the givens,
Mass of small chair, m₁ = 1.25kg,
The initial speed of the small chair before the collision, u₁ = 2.5 m/s,
The final speed of the small chair after the collision, v₁ = - 0.94 m/s (negative sign opposite sign),
The initial speed of the large chair before the collision, u₂ = 0 (large chair is at rest before the collision),
The final speed of the large chair after the collision, v₂ = 1.56 m/s,
The mass of a large chair m₂ =?
From the conservation of momentum:
m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂
(1.25×2.5) + (m₂×0) = (1.25(-0.94) + (m₂×1.56)
3.125 + 0 = - 1.175 +( m₂×1.56)
3.125+1.175 = ( m₂×1.56)
4.3 / 1.56 = m₂
m₂ = 2.75kg
Hence, the mass of a large chair, m₂ = 2.75kg.
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Use the crisscross method to find the chemical formula for the ionic compound formed by strontium (Sr) and bromine (Br).
Answer:it’s c SrBr2
Explanation:
Answer above is correct
Explanation:
Free fall acceleration 9.8m/s2 means that when sn object falls down
Free fall acceleration 9.8 m/s² means that when an object falls down due to gravity, its velocity increases by 9.8 m/s every second.
What is free fall?Free fall refers to the motion of an object due to the attractive force of the earth known as gravity only acting on the object.
When an object is experiencing free fall, the object experiences acceleration due to gravity which has a constant value of 9.8 m/s².
This constant varies at several points on the earth's surface. The farther away an object is from the earth's surface, the lower the value of the free fall acceleration or acceleration due to gravity will be.
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Forces of 7.6N at 38 degrees and 11.8N at 143 degrees act at a point.Calculate the magnitude and direction of their resultant.
Answer:
Approximately \(12.3\; {\rm N}\) at approximately \(106^{\circ}\).
Explanation:
Assume the two given directions are measured with respect to the positive \(x\) axis.
If a vector of magnitude \(\| a\|\) is at an angle of \(\theta\) from the positive \(x\) axis, this vector can be written in the component form as:
\(\begin{aligned}\| a\|\begin{bmatrix}\cos(\theta) \\ \sin(\theta)\end{bmatrix}\end{aligned}\);
Or equivalently:
\(\begin{aligned}\begin{bmatrix}\|a\|\, \cos(\theta) \\ \|a\|\, \sin(\theta)\end{bmatrix}\end{aligned}\).
For example, the \(7.6\; {\rm N}\) force is a vector with magnitude \(7.6\; {\rm N}\) at a direction of \(38^{\circ}\) from the positive \(x\) axis. This vector can be represented as:
\(\begin{aligned} 7.6\, \begin{bmatrix}\cos(38^{\circ}) \\ \sin(38^{\circ})\end{bmatrix} &= \begin{bmatrix}7.6\, \cos(38^{\circ}) \\ 7.6\, \sin(38^{\circ})\end{bmatrix} \approx \begin{bmatrix}5.9889 \\ 4.6790 \end{bmatrix}\end{aligned}\).
Similarly, the \(11.8\; {\rm N}\) vector can be represented as:
\(\begin{aligned}11.8\, \begin{bmatrix}\cos(143^{\circ}) \\ \sin(143^{\circ})\end{bmatrix} &= \begin{bmatrix}11.8\, \cos(143^{\circ}) \\ 11.8\, \sin(143^{\circ})\end{bmatrix} \approx \begin{bmatrix}-9.4239 \\ 7.1014 \end{bmatrix}\end{aligned}\).
To find the sum of the two vectors, take the sum of each component separately:
\(\begin{aligned}& \begin{bmatrix}5.9889 \\ 4.6790 \end{bmatrix} + \begin{bmatrix}-9.4239 \\ 7.1014\end{bmatrix} \\ =\; & \begin{bmatrix}5.9889 + (-9.4239)\\ 4.6790 + 7.1014\end{bmatrix} \\ \approx\; & \begin{bmatrix}-3.4350 \\ 11.780\end{bmatrix} \end{aligned}\).
Apply the Pythagorean Theorem to find the magnitude of this vector sum:
\(\displaystyle \sqrt{(-3.4350)^{2} + (11.780)^{2}} \approx 12.271\).
Note that the first component (\(x\)-component) of this vector is negative, such that this vector would point to the left of the vertical axis. Since the second component (\(y\)-component) of this vector is positive, this vector would point above the horizontal axis. Hence, the direction of this vector (relative to the positive \(x\!\)-axis) would be an angle between \(90^{\circ}\) and \(180^{\circ}\).
Divide the \(x\)-component of this vector by its magnitude to find the cosine of the angle between this vector and the positive \(x\!\)-axis. Apply the inverse cosine function to find this angle:
\(\begin{aligned}\arccos \left(\frac{-3.4350}{12.271}\right) \approx 106^{\circ}\end{aligned}\).
ANYONE KNOW NUMBER 1?
Answer:
A increases
Explanation:
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Question 6
Which one of the following sources of noise has been declining slightly in recent years?
a. motorcycle
b. automobile
c. aircraft
d. industrial
the source of noise that has been declining slightly in recent years is the automobile. This is due to the implementation of noise regulations and the development of more efficient and quieter engines.
Answer - 1. Technical evolution of motor vehicles and progress in reducing their noise.
2. Population and urbanisation trends.
3. Economic trends and trends in motor vehicle ownership.
4. Traffic trends, particularly in urban areas.
5. Changes in legislation.
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What will be the velocity of a 0.23 kg arrow having a potential energy of 61 J after it is shot from a bow?
Answer:
530.43m/s
Explanation:
Given data
Mass m = 0.23kg
PE= 61J
From the expression for potential energy
PE= mgh
after it was shot
PE=KE
KE= 1/2mv^2
So
PE= 1/2mv^2
substitute
61= 1/2*0.23*v^2
61=0.5*0.23*v^2
61=0.115v^2
divide both sides by 0.115
v= 61/0.115
v=530.43 m/s
Hence the velocity is 530.43m/s
What are the4 spheres on earth
Answer:
northen henisphere,southern hemisphere, Eastern hemisphere, Western hemisphere.
Answer:
Hydrosphere, Lithosphere, Atmosphere and Biosphere
it is desired that a solenoid 25 cm long and with 350 turns produce a magnetic field within it equal to the earth’s magnetic field 15.0 * 10-5 t2. what current is required?
To produce a magnetic field within a solenoid equal to the Earth's magnetic field, a current of approximately 7.66 amperes is required.
A solenoid is a long coil of wire that generates a magnetic field when an electric current passes through it. The magnetic field produced by a solenoid can be calculated using the formula:
B = μ₀ * n * I
where B is the magnetic field, μ₀ is the permeability of free space(4π * \(10^{-7\) T·m/A), n is the number of turns per unit length, and I is the current.
In this case, we are given that the solenoid is 25 cm long (0.25 m) and has 350 turns. We want the magnetic field within the solenoid to be equal to the Earth's magnetic field, which is \(15.0 * 10^{-5\) T.
Rearranging the formula, we can solve for the current:
I = B / (μ₀ * n)
Substituting the given values:
I = (\(15.0 * 10^{-5\) T) / (4π \(* 10^{-7\) T·m/A * 350 turns/m)
Calculating this expression gives us the current required:
I ≈ 7.66 amperes
Therefore, a current of approximately 7.66 amperes is needed to produce a magnetic field within the solenoid equal to the Earth's magnetic field.
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Classify each model A-D as either an element, a compound, or a mixture. Explain your reasoning for each answer
Answer:
a
Explanation:
Please helpp !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
What is the frequency of a wave that has a wave speed of 40 m/s and a wavelength of 0.60 m?
Answer: I believe the frequency of a wave is 66.6667 Hz :)
Explanation:
Did it seem to take more effort to move the cart when the force was inclined at an angle to the ramp's surface? Do you think that more physical work was done to move the cart over the same distance at the same slow constant speed? It is the force component parallel to the displacement that is included in the calculation of work. Thus, when the force and displacement are not parallel, the work is calculated by W = F 4x = (F cos Ax Question 1-9: Do your observations support this equation as a reasonable way to calculate the work? Explain. Question 1-10: Based on all of your observations in this investigation, was your choice in Prediction 1-1 the best one? yes
Question 1-9: Yes, it does seem to take more effort to move the cart when the force was inclined at an angle to the ramp's surface.
Question 1-10: if your choice in Prediction 1-1 was that it would take more effort to move the cart when the force was inclined at an angle, then yes, it was the best choice.
Explanation:
Question 1-9: Yes, it does seem to take more effort to move the cart when the force was inclined at an angle to the ramp's surface. This is because only the force component parallel to the displacement is included in the calculation of work.
The equation W = F × d × (cos A) supports this observation as a reasonable way to calculate the work. When the force is applied at an angle, the cosine of the angle is taken into account, which reduces the effective force used in the work calculation.
Question 1-10: Based on all of your observations in this investigation, if your choice in Prediction 1-1 was that it would take more effort to move the cart when the force was inclined at an angle, then yes, it was the best choice.
The observations support the fact that more physical work was done to move the cart over the same distance at the same slow constant speed when the force was applied at an angle to the ramp's surface.
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Help me please. I’ll select brainliest!
Answer:
90 degrees
Explanation:
the answer is 90 because angle a has a square on the angle which means it is 90 degrees
Answer:
90°
Explanation:
It is so because
the square shaped angle means 90°
The Doppler effect using ultrasonic waves of frequency 2.22×106 Hz is used to monitor the heartbeat of a fetus. A (maximum) beat frequency of 233 Hz is observed.
Assuming that the speed of sound in tissue is 1540 m/s, calculate the maximum velocity of the surface of the beating heart.
The maximum velocity of the surface of the beating heart is approximately 0.200 m/s.
Frequency of ultrasonic waves, f = 2.22 × 106 Hz Beat frequency, fb = 233 Hz
Speed of sound, v = 1540 m/s
We can use the following formula for the Doppler effect:
fb = f(v + v₀) / v
where v₀ is the velocity of the receiver (the detector) relative to the source of the waves.
We can rearrange this formula to solve for v₀:
v₀ = v(fb / f − 1)
Substituting the given values, we get:
v₀ = 1540(233 / 2.22 × 106 − 1) ≈ 0.200 m/s
The detector (in this case, the device monitoring the fetal heartbeat) is stationary relative to the tissue, so the velocity we just calculated is the maximum velocity of the surface of the beating heart.
So, The maximum velocity of the surface of the beating heart is approximately 0.200 m/s.
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The intensity, or loudness, of a sound can be measured in decibels (db), according to the equation , where i is the intensity of a given sound and is the threshold of hearing intensity. What is the intensity, in decibels, [i(db)], when ? 8 9 19 80.
The intensity of the sound in decibels will be equal to 80 that is option D is correct.
The equation of measuring the intensity is given as
I(dB)=10log[I/I₀] where I is the intensity and I₀ is the threshold of a hearing intensity.
According to the question, the intensity or loudness of a sound can be measured in decibels (dB) which is given by
I(dB)=10log[I/I₀]
Now, I = 10⁸I₀
I(dB) = 10 log [10⁸I₀/I₀]
I(dB) = 10 log (10⁸)
I(dB) = 80 log 10
I(dB) = 80 which is the required value.
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Complete Question:
The intensity, or loudness, of a sound can be measured in decibels (dB), according to the equation I(dB)=10log[I/I₀], where I &/ the intensity of a given sound and I0 is the threshold of a hearing intensity. What is the intensity, in decibels, [I(dB)], when I=10⁸(I₀)? Round to the nearest whole number. (Refer to photo for equations) A.8 B.9 C.19 D.80
If you precisely measure the position of a particle, you __________. If you precisely measure the position of a particle, you __________. destroy information about its momentum convert it into a wave cause it to interfere cause the particle to be annihilated
Answer:
Destroy information about the speed of the particle
Explanation:
This is according to Heisenberg's Uncertainty Principle states that there is inherent uncertainty in the act of measuring a variable of a particle. Commonly applied to the position and momentum of a particle, the principle states that the more precisely the position is known the more uncertain the momentum is and vice versa.
When is the force experienced by a current-carrying conductor placed in a magnetic field largest?.
The force experienced by a current-carrying conductor placed in a magnetic field is largest when the conductor is perpendicular to the magnetic field.
The force experienced by a current-carrying conductor placed in a magnetic field is largest when the conductor is perpendicular to the magnetic field. This is known as the right-hand rule.
Here's how it works:
1. Imagine holding the conductor in your right hand, with your thumb pointing in the direction of the current.
2. Extend your fingers so that they are perpendicular to your thumb.
3. The direction in which your fingers curl is the direction of the magnetic field lines.
4. When the conductor is perpendicular to the magnetic field, the magnetic field lines cut across the conductor at a 90-degree angle, resulting in the maximum force.
5. This force is described by the equation,
F = BIL,
where,
F is the force,
B is the magnetic field strength,
I is the current,
and L is the length of the conductor.
6. If the angle between the conductor and the magnetic field is less than 90 degrees, the force will be smaller, and if the angle is greater than 90 degrees, the force will be zero.
In summary, the force experienced by a current-carrying conductor placed in a magnetic field is largest when the conductor is perpendicular to the magnetic field.
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is it true or false that even established scientific laws are able to be tested?
please help!!! i need help with this science question!!
Answer:
If the Law has already been est. then the answer should be true .
Explanation:
If the law has already been est. then they can still test the theory of that law. If you test it you might find something new and interesting because the science might have missed something or a factor. It is a good thing to test things,even after establishment.
what is the wavelength λλ of the light when it is traveling in air?
The wavelength λ of light when it is traveling in air depends on the color or frequency of the light meaning they have the same amplitude and direction of oscillation.
Light is an electromagnetic wave that travels through space at a constant speed of approximately 299,792,458 meters per second. The wavelength of light is the distance between two consecutive points on the wave that are in phase, meaning they have the same amplitude and direction of oscillation.
The wavelength of light can be calculated using the formula: λ = c / f. Where λ is the wavelength, c is the speed of light in air (approximately 3 x 10^8 m/s), and f is the frequency of the light. To find the wavelength of light when it is traveling in air, you need to have information about its frequency. Once you have the frequency, you can use the above formula to calculate the wavelength.
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You are camping, and you are inflating your air mattress. What best describes what you are doing to the gas pressure inside of the mattress?
filling it up
Explanation:
Electric potential differences are measured in _____.voltsjoulesnewtonscentimeters
The correct unit used to measure the electric potential difference is Volts.
Joules is used to measure energy.
Newtons is used to measure forces.
Centimeters is used to measure distance.
Therefore the correct option is the first one.
question some students performing a double-slit interference experiment with light want to increase the separation of the interference maxima to improve their measurement of the spacing between maxima. which of the following changes by itself will accomplish this goal. select two answers.
We can see that the following modification alone will achieve this objective: D. Using a shorter wavelength light source.
Maxima is defined.Maxima can refer to, among other things, the greatest value of a function at a specific position, the highest temperature in a system, or the highest intensity of light in an interference pattern.
What happens to the double-slit pattern as the laser wavelength is increased?The design will grow. The gap between successive maxima in the interference pattern is linearly wavelength dependent, with red light having a longer wavelength than blue light. A shorter wavelength is associated with a higher frequency.
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Question:
Some students performing a double slit interference experiment with light want to increase the separation of the interference maxima to improve their measurement of the spacing between the maxima. Which of the following changes by itself will accomplish this goal?
A ball is dropped from the top of a cliff. Which graph best represents the relationship between the ball's total energy and the elapsed time as the ball falls to the ground?
Graph A does.
The work you do to carry the ball up to the top of the cliff is the total energy it has.
Before you drop it, all that energy is potential energy.
Once you drop it, the potential energy starts to turn into kinetic energy as it falls.
When it hits the ground, its kinetic energy is exactly the amount of potential energy it had at the top, and it has no more potential energy.
The total (potential + kinetic) energy is the same amount all the way down. Energy isn't created or destroyed.
The graph that shows the ball's total energy and the elapsed time as the ball falls to the ground is graph A.
For a body that is falling from a height, the potential energy of the body is being converted to kinetic energy. We must note that the total mechanical energy of the body is constant.
As such, the graph that shows the ball's total energy and the elapsed time as the ball falls to the ground is graph A.
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what conditions must exist for x-rays to be produced? 2. what are the basic parts of a cathode assembly? 3. what is the purpose of the focusing cup?
For x-rays, an electron source, a mechanism of accelerating the electrons to high speeds, and a target for the accelerated electron to contact with are required, and these are also components of the cathode assembly. The function of the focusing cap is to concentrate the electron beam.
To make x-rays, you need three things: an electron source, a way to accelerate the electrons to high speeds, and a target for the accelerated electron to contact with. X-rays are created when free electrons release energy when they contact with atomic particles in the target.
A cathode head, a filament, and first and second focusing tabs comprise the cathode assembly. The focusing caps are used to focus electron beams in the tube.
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Helpppp helppp I will make you a brainlist!!
Answer:
The answer is that the evil psychic is merciless, see the explanation below:)
Explanation:
When a body is about to receive an impact or collision, two important factors should be taken into consideration; the mass of the body and the velocity with which it moves. The product of mass by velocity is defined as momentum.
Therefore:
\(P=m*v\\\)
where:
P = momentum [kg*m/s]
m = mass [kg]
v = velocity [m/s]
That is, is we are standing in front of the truck:
\(P_{truck}=1000*1\\P_{truck}=1000[kg*m/s]\)
Or in front of the meatball:
\(P_{meatball}=1*1000\\P_{meatball}=1000[kg*m/s]\)
an arrow moving 48.3 m/s has 5.22 kg*m/s of momentum. what is it's mass?
Answer:
0.11 kgExplanation:
The mass of the arrow can be found by using the formula
\(m = \frac{p}{v} \\ \)
p is the momentum
v is the velocity
From the question we have
\(m = \frac{5.22}{48.3} \\ = 0.108074...\)
We have the final answer as
0.11 kgHope this helps you