Find the acceleration a of the particle. Express the acceleration in terms of vi , vf , and s.
Answers
The acceleration a of the particle, expressed in terms of vi , vf , and s, is a = (vf² - vi²) / (2s).
What is acceleration of a particle?
The acceleration of a particle is the rate of change of velocity of the particle with time.
Mathematically, the acceleration of any particle can be determined by applying the following kinematic equation.
a = (vf - vi)/t
where;
vf is the final velocity of the particlevi is the initial velocity of the particlet is time of motion of the particleWhen the final velocity of the particle is known, the initial velocity is also known and the distance travelled by the is known as well, then the acceleration of the particle can be calculated by applying the formula for third kinematic equation as shown below.
vf² = vi² + 2as
a = (vf² - vi²) / (2s)
Thus, the acceleration of the particle depends on the final velocity, initial velocity and the distance travelled by the particle.
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Related Questions
what is a rocket engine that fires against the direction a spacecraft is headed so the spacecraft slows down?
Answers
The rocket engine that fires against the direction a spacecraft is headed so the spacecraft slows down is called Retro engine.
Spacecraft are the space automobiles that might be capable of flying out of doors of the Earth’s ecosystem in the area. They offer us a method of transportation from the Earth to the area and objects in it. There may be numerous spacecraft that are familiar to most of people e.g. Apollo 11 which took Neil Armstrong and his group to the Moon.
Crewed Spacecraft – Crewed spacecraft are the ones that carry people to the area. There have been several crewed spacecraft to the area consisting of Vostok 1 – the first crewed spacecraft in records dispatched by way of the United States of America.
Earth-Orbit Satellites – all of the satellites, which orbit across the Earth, fall in this class. The maximum tremendous satellite in orbit on the Earth is Hubble Telescope.
Space Probe – these are unmanned spacecraft that might be fitted with medical instruments for exploring objects in space e.g. planets, Moon, and solar.
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Give reason:
colour, taste and smell can't be used to differentiate between water and oxygen gas
Answers
Answer:
All three characteristics are common between the two
Explanation:
Both water and oxygen are odourless, tasteless, colourless substances and so it is not possible to tell the difference between the two just based off of these three characteristics.
A car is driving down the road at 30 MPH. A bug hits the windshield with a force of 50N. With what force does the car hit the bug?
Group of answer choices
80N
20N
50N
300N
Answers
Answer:
80 N
Explanation:
The windshield is a part of the car and the bug hits it so the bug hits the car. they both are in opposite directions so their total force will be 80N
a 0.52 kg football is thrown with a velocity of 15 m/s to the right. A stationary receiver catches the ball and brings it to rear in 0.017s. What is the force exerted on the receiver?
Answers
On the receiver, a force of 375 Newton was applied.
What does one newton weigh?
In the walking (English, or customary) system, one newton is equivalent to around 0.2248 pounds of force or 100,000 dynes in the centimeter-gram-second (CGS) system.
What is a force unit of newton?
The newton, abbreviated N, is the Si derived unit of force. Base units that are pertinent to force are: The symbol for the length unit of a metre is m. the kilogramme (kg), a unit of mass. s stands for the second, a unit of time.
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a pipe that is 0.46 m long and open at both ends vibrates in the second overtone with a frequency of 1150 hz. in this situation, the distance from the center of the pipe to the nearest antinode is closest to group of answer choices zero. 7.7 cm. 15 cm. 12 cm. 3.8 cm.
Answers
The distance of the center pipe to the nearest antinode at the second harmonic frequency is closest to 12 cm.
We need to know about the harmonic frequency to solve this problem. When the string is vibrating at its second harmonic frequency, it should follow the rule
λ = L
where λ is wavelength and L is the length of the string
From the question above, we know that
f = 1150 Hz
L = 0.46 cm
Find the wavelength
λ = L
λ = 0.46 m
The distance from the center of the pipe to the nearest antidote is equal to 1/4 of the wavelength. Hence,
s = 1/4 λ
s = 1/4 . 0.46
s = 0.115 m
s ~ 12 cm
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What resource can take centuries to millions of years to replenish are referred to as
Answers
Resources that can take centuries to millions of years to replenish are typically referred to as non-renewable resources.
Fossil fuels, such as coal, oil, and natural gas, are a well-known example of a non-renewable resource. These fuels are made from the remains of extinct plants and animals that suffered intense pressure and heat to develop millions of years ago. Carbon dioxide and other greenhouse gases are released through the mining and combustion of fossil fuels, causing climate change.
Minerals and metals like copper, gold, iron, and aluminium are another illustration. These resources are frequently concentrated in finite amounts within the crust of the Earth and must be removed via significant mining operations. Significant environmental effects of the extraction process include habitat destruction, water pollution, and soil deterioration.
These non-renewable resources become scarcer as they are used up, which raises prices and raises the possibility of access conflicts.
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A soccer player kicks a ball, applying a force of 1,000 newtons over a distance of 0. 2 meter. The ball travels 50 meters down the field before another player stops the ball. How much work was done during the kick?.
Answers
A circus performer is putting together an act that involves lying on a bed of nails without getting hurt. The tip of each nail has a radius of 1 mm and the performer has a mass of 65 kg. A typical human pain threshold for pressure on the skin is about 0.4MPa (1MPa = 10 Pa). This is the minimum pressure that causes a sensation of pain. Part a (1 points) If the performer stepped on a single nail, what pressure would the nail exert on his foot? Give you answer in mega-Pascals (MPa).
Answers
The pressure exerted by a single nail on the performer's foot is approximately 203 MPa.
How much pressure does a single nail exert on the performer's foot?To determine the pressure exerted by a single nail on the performer's foot, we need to calculate the force exerted by the nail and divide it by the area of contact.
The force exerted by the nail can be calculated using the formula:
Force = mass x acceleration
Given that the performer has a mass of 65 kg and the acceleration due to gravity is approximately 9.8 m/s²,
we can calculate the force as:
Force = 65 kg x 9.8 m/s² = 637 N
The area of contact can be approximated by considering the tip of the nail as a circle with a radius of 1 mm.The area of a circle can be calculated using the formula:
Area = π x (radius)²
Substituting the values, we have:
Area = π x (0.001 m)² ≈ 3.14 x 10⁻⁶ m²
Finally, we can calculate the pressure exerted by the nail on the foot by dividing the force by the area:
Pressure = Force / Area
Pressure = 637 N / (3.14 x 10⁻⁶ m²) ≈ 2.03 x 10⁸ Pa
Converting this pressure to mega-Pascals (MPa), we divide by 10⁶:
Pressure ≈ 2.03 x 10² MPa
Therefore, if the performer stepped on a single nail, the nail would exert a pressure of approximately 203 MPa on his foot.
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Maya uses a tuning fork of frequency 250 Hz to produce transverese waves on a stretched string. Her friend justin measure the distance between the.two consecutive crest on the string as 5 cm. What was the velocity of the wave?
Answers
Answer:
The velocity of the wave is 12.5 m/s
Explanation:
The given parameters are;
he frequency of the tuning fork, f = 250 Hz
The distance between successive crests of the wave formed, λ = 5 cm = 0.05 m
The velocity of a wave, v = f × λ
Where;
f = The frequency of the wave
λ = The wavelength of the wave - The distance between crests =
Substituting the known values gives;
v = 250 Hz × 0.05 m = 12.5 m/s
The velocity of the wave, v = 12.5 m/s.
In complete sentences describe the energy flow between the Sun, the Earth, and space
Answers
Explanation:
The amount of incoming energy from the Sun decides the weather and climate of earth. If the energy that is incoming and outgoing on the earth, then climate is in equilibrium. The balance is depending on the scattering, absorption, reflection and transformation of energy.
The energy from sun passes through space and reaches the earth’s surface. On reaching surface, the solar energy warms the atmosphere releasing heat energy which gets transferred throughout the planets system by radiation, conduction and convection. Conduction happens in the atmosphere within first several millimeters close to the surface. This heated air expands as it is dense and rises causing transfer of heat to atmosphere through convection process. It results in formation of clouds.
The radiant energy from sun is transmitted via space in form of invisible waves. But much of the suns radiant energy, is transmitted back to atmosphere. The objects on earth like land, plants, animals absorb radiant energy as heat of which one third gets re-radiated back to atmosphere that is absorbed by carbon dioxide and water vapor. The atmosphere radiates heat energy back to earth increasing the earth temperature. This trapping of radiation is greenhouse effect.
The thermal energy obtained by convection currents are responsible for wind, cloud formation, and weather formation. The hydrosphere that comprises of 70% of earth’s surface absorbs solar energy.
On the basis of the above explanation is:
The energy from the sun passes through space in the form of invisible waves to the earth surface. It heats up the earth’s surface causing variation in climate.
how was energy transferred from the heat source to the food coloring why does convection occur and fluid and not solid
Answers
Answer:
1what is the first who derived car
18. A vertical spring has a length of 25cm when a 150g mass is hung from its end and its length is 30cm with 250g hanging from it. What is the spring constant? a) 19.6N/cm b) 19.6n/m c) 109.6N/m d) 19.6N/m e) 19.6N/km
Answers
The spring constant of the spring is 19.6 N/m.
The correct answer is option D.
What is the spring constant of the spring?
The spring constant of the spring is calculated by applying the following equation as shown below.
Mathematically, the formula of Hooke's law is given as;
F = kx
where;
F is the applied forcek is the spring constantx is the extension of the springk = F / x
the extension of the spring when the 250 g mass was hung on it is calculated as;
x = 30 cm - 25 cm
x = 5 cm = 0.05 m
The spring constant of the spring is calculated as;
k = ( mg ) / x
where;
m is the additional mass = 250 g - 150 g = 100 gk = ( 0.1 x 9.8 ) / ( 0.05 )
k = 19.6 N/m
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a block with a mass of 0.8 kg slides down a ramp. if it has an initial speed of 7 m/s, what is the work done by the net force on the block?
Answers
The work done by the net force on the block of mass 0.8 kg is 19.6 J.
What is work done?Work is said to be done whenever a force moves an object through a distance.
To calculate the work done by the net force on the block, we use the formula below.
Formula:
W = mv²/2....................... Equation 1Where:
W = Work done by the net force on the blockm = Mass of the blockv = Speed of the blockFrom the question,
Given:
m = 0.8 kgv = 7 m/sSubstitute these values into equation 1
W = 0.8×7²/2W = 19.6 JHence, the work done is 19.6 J.
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Which planet has a very dense atmosphere primarily composed of carbon dioxide?.
Answers
Answer:
Venus
Explanation:
a rock is an example of a solid because
Answers
Answer:
The key is that solids hold their shape and they don't flow like a liquid. A rock will always look like a rock unless something happens to it.
Solids can hold their shape because their molecules are tightly packed together.
Explanation:
Yes; it is a solid
2. Which of the following will have no effect on the reaction time of a person driving an
automobile?
age
of the driver
b) Distractions in the environment
c) The speed of the automobile
d) Talking on a cell phone while driving
a) The
Answers
A stone of mass 120g is dropped down a well. The surface of the water in the well is 1.5m below ground level. The acceleration of free fall of the stone is 9.8m/s^2.Calculate for the stone fallen the ground level to the surface a) The loss of potential energy b) Its speed as it hits the water assuming all the potential energy has been converted.
Answers
A. The loss of potential energy for the stone is 1.764 J
B. The speed of the stone as it hits the water is 5.42 m/s
A. How do I determine the loss potential energy?We'll begin by obtaining the initial potential energy. Details below:
Mass of stone (m) = 120 g = 120 / 1000 = 0.12 KgInitial height (h₁) = 1.5 mAcceleration due to gravity (g) = 9.8 m/s² Initial potential energy (PE₁) = ?PE₁ = mgh₁
PE = 0.12 × 9.8 × 1.5
PE = 1.764 J
Finally, we shall determine the loss of potential energy. This is shown below:
Initial potential energy (PE₁) = 1.764 JFinal potential energy (PE₂) = 0 J (since the stone is at the bottom)Loss of potential energy (ΔPE) =?ΔPE = PE₁ - PE₂
ΔPE = 1.764 - 0
ΔPE = 1.764 J
Thus, the loss of potential energy is 1.764 J
B. How do i determine the speed?The speed of the stone as it hits the water can be obtained as follow:
Loss of potential energy (ΔPE) = 1.764Kinetic energy of stone (KE) = ΔPE = 1.764 JMass of stone (m) = 0.12 KgSpeed of stone (v) = ?KE = ½mv²
1.764 = ½ × 0.12 × v²
1.764 = 0.06 × v²
Divide both side by 0.06
v² = 1.764 / 0.06
Take the square root of both side
v = √(1.764 / 0.06)
v = 5.42 m/s
Thus, the speed is 5.42 m/s
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If a tire's gage pressure is 100 psi, what is its corresponding absolute pressure?
Answers
Answer:
114.7 psi
Explanation:
Absolute pressure = atmospheric pressure + gauge pressure
= 14.7 psi + 100 psi = 114 .7 psi (sea level)
a longitudinal wave is observed. Exactly 6 crests are observed to move past a given point in 9.1 s. Its wavelength is 2.4 m and its frequency is 0.66 HZ. What is the speed of the wave.
Answers
The speed of the longitudinal wave is 1.584 or approximately 1.6 meters per second.
What is a longitudinal wave?Longitudinal waves are waves in which the medium's vibration is parallel to the wave's travel direction and the medium's displacement is in the same direction as the wave's propagation.
Sound waves are one example of longitudinal waves. Waves of ultrasound P-waves from earthquakes
A longitudinal wave's key features include compression, rarefaction, wavelength, amplitude, period, and frequency.
To calculate the above answer multiply wavelength by frequency to get the speed of a wave.
That is:
2.4 x 0.66
= 1.584
Where the frequency is not given beforehand, you can divide 6 crests by 9.1 seconds to determine the frequency.
Hence, the speed of the longitudinal wave is 1.584 which is approximately 1.6.
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Describe an atom using mass and atomic number. Please help.
Answers
a 7.80-g bullet moving at 575 m/s penetrates a tree trunk to a depth of 5.50 cm. use work and energy to find the average frictional force that stops the bullet, in newtons.
Answers
To find the average frictional force that stops the bullet, we need to use the work-energy principle, which states that the work done on an object equals its change in kinetic energy.
The initial kinetic energy of the bullet can be calculated as:
KEi = 1/2 mv^2
= 1/2 (0.00780 kg)(575 m/s)^2
= 1235.31 J
When the bullet comes to rest after penetrating the tree trunk, all of its kinetic energy is converted into work done by the frictional force, which acts over a distance of 5.50 cm. The work done by the frictional force can be calculated as follows:
W = Fd
where F is the average frictional force and d is the distance over which the force acts. Converting 5.50 cm to meters, we get:
d = 0.0550 m
Therefore, the work done by the frictional force is:
W = KEi - 0
= 1235.31 J
Equating this to the product of the average frictional force and the distance, we get:
Favg * d = 1235.31 J
Solving for Favg, we get:
Favg = 1235.31 J / 0.0550 m
= 22460.18 N
Therefore, the average frictional force that stops the bullet is approximately 22,460 N.
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Would you rather have no air conditioning or no heating? Explain your answer
Answers
The satellite that has given us the most precise measurements of the characteristics of the cosmic background radiation is:
Answers
Answer:
An image of the cosmic microwave background radiation, taken by the European Space Agency (ESA)'s Planck satellite in 2013, shows the small variations across the sky (Image credit: ESA/Planck Collaboration) The cosmic microwave background (CMB) is thought to be leftover radiation from the Big Bang, or the time when the universe began
Explanation:
ans: a 6) at what separation will two charges, each of magnitude 6.0 c, exert a force of 0.70 n on each other?
Answers
Two charges, each with a magnitude of 6.0 C, will exert a force of 0.70 N on each other when they are separated by a distance of approximately 2.38 meters.
The force between two charged objects can be calculated using Coulomb's Law:
F = k * (|q1| * |q2|) / r^2
Where:
- F is the force between the charges
- k is the electrostatic constant (k ≈ 8.99 x 10^9 N m^2/C^2)
- |q1| and |q2| are the magnitudes of the charges
- r is the separation distance between the charges
To find the separation distance (r), we can rearrange Coulomb's Law:
r = √((k * (|q1| * |q2|)) / F)
Substituting the given values:
r = √((8.99 x 10^9 N m^2/C^2 * (6.0 C * 6.0 C)) / 0.70 N)
Calculating the value:
r ≈ √(32376 x 10^9 N^2 m^2 / 0.70 N)
r ≈ √(46251.43 x 10^9 m^2)
r ≈ √(4.625143 x 10^13 m^2)
r ≈ 2.15 x 10^6 m
Converting to meters:
r ≈ 2.15 x 10^6 meters
r ≈ 2.15 x 10^3 kilometers
r ≈ 2150 kilometers
Therefore, the separation distance at which the two charges will exert a force of 0.70 N on each other is approximately 2.38 meters.
Two charges, each with a magnitude of 6.0 C, will exert a force of 0.70 N on each other when they are separated by a distance of approximately 2.38 meters.
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opacity of the lens of the eye that impairs vision and can cause blindness is called
Answers
The opacity of the lens of the eye that impairs vision and can cause blindness is called cataract. Cataract refers to the clouding or opacification of the natural lens of the eye, which leads to a progressive decline in vision.
Cataracts commonly develop as a result of aging, but they can also be caused by factors such as trauma, certain medications, systemic diseases (e.g., diabetes), or genetic predisposition. Cataract surgery, which involves the removal of the cloudy lens and replacement with an artificial intraocular lens, is an effective treatment for cataracts, restoring clear vision for many individuals. It occurs when proteins in the lens clump together, causing the lens to become less transparent. This clouding obstructs the passage of light, resulting in blurred or distorted vision. If left untreated, cataracts can eventually lead to severe vision loss and even blindness.
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Which applications, either for diagnostic purposes or for therapeutic purposes, do not involve ionizing radiation? Check all that apply.
Answers
Answer: I do not know (is this an RP question? ;-;)
Explanation:
Answer:
Applications in which ionizing radiation are not used are
MRI
ultrasound
laser surgery
Explanation:
hope its right
bestfriend
Sorry if it’s blurry. Please help. I can’t mess up.
Answers
answer:
MAXIMUM SPEED
explanation:
IM SURE THAT IS THE ANSWER
a gamma scan showing the active volume of a patient's lungs can be created by having a patient breathe the radioactive isotope 133xe , which undergoes beta-minus decay with a subsequent gamma emission from the daughter nucleus. a typical procedure gives a dose of 3.0 msv to the lungs. part a how much energy is deposited in the 1.2 kg mass of a patient's lungs? express your answer with the appropriate units.
Answers
To determine the amount of energy deposited in the 1.2 kg mass of the patient's lungs, we can use the dose given in the problem and the concept of absorbed dose.
The absorbed dose is defined as the amount of energy deposited per unit mass of a substance. In this case, the dose given is 3.0 mSv (millisieverts). Sv is the unit of absorbed dose. To calculate the energy deposited, we can use the formula: Energy deposited = Absorbed dose * MassGiven. Absorbed dose = 3.0 mSv = 3.0 x 10^-3 Sv Mass of lungs = 1.2 kg Energy deposited = (3.0 x 10^-3 Sv) * (1.2 kg) Energy deposited ≈ 3.6 x 10^-3 JTherefore, the energy deposited in the 1.2 kg mass of the patient's lungs is approximately 3.6 x 10^-3 Joules.
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Function: y = x2 + 5x - 7
Vertex:(
Solutions:(
and
Answers
Answer:=7x−7
Explanation:
=2x+5x+−7
=(2x+5x)+(−7)
=7x+−7
How are sound waves different from the ripples that spread across water?
Answers
Answer:
.
Explanation:
Sound waves are caused by vibration ripples in water are caused by disturbance in the molecules
Sound waves are longitudinal (the particles move in the same direction as the wave) as opposed to transversal waves (for example, in a sea wave, the water particles move up and down to form the wave). ... Water being incompressible is one of the reasons why sound waves move much faster in water than ripples.
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