Two trains are on separate but parallel tracks running east and west. One has a speed of 90 km/h, the other 80 km/h. Initially, the trains are 5 km apart and are approaching each other. How long will it take the two trains to have the same position along the east-west direction?
Answers
Answer: 4 hours
Explanation: Their approach rate is 100+140 or 240 km/h and 960/240 which equals 4 hours
Related Questions
Part II: Blackbody Curves Different colors of light are manifestations of the same phenomenon but have different wavelengths. For example, red light has a wavelength between 650 nm and 750 nm, while violet light has a shorter wavelength between 350 nm and 450 nm. Stars also give off light at wavelengths outside the visible part of the spectrum as seen in Figures 2a, 2b, and 20. The two most important features of a star's blackbody curve are: • its maximum height or peak - an indication of the star's energy output; and • the wavelength at which this peak occurs (called the peak wavelength) - an indication of the star's temperature (the longer the peak wavelength, the cooler the star) For example, if Star A and Star B are the same size and temperature, they will have identical blackbody curves. However, if Star B is the same size as Star A, but is cooler, its energy output is less at all wavelengths and the peak occurs at a longer wavelength (toward the red end of the spectrum). This is shown in Figure 2a. 3000 SA! OOO mange Sur 18000 n Su 4000K VIBOTOR We WIDOTOR Figure 20 WEBGYON Figure 2c Figure 26 Use Figure 2a to answer questions 6 -9. Assume Stars A and B are the same size. 6) Which star gives off more red light? Explain your reasoning, 7) Which star gives off more blue light? Explain your reasoning. 3) Which star looks redder? Explain your reasoning. 9) Two students are discussing their answers to question 8. Student 1: Star A looks redder because it is giving off more red light than Star B. Student 2: I disagree, you're ignoring how much blue light Star A gives off. Star A gives off more blue light than red light so it looks bluish. Star B gives off more red than blue so it looks reddish. That's why Star B looks redder than Star A. Do you agree or disagree with either or both of the students? Why? 10) Using the blackbody curves for the stars shown in Figure 2b, circle the correct answer for each characteristic of the curves below. Longer peak wavelength Lower surface temperature Looks red Looks blue Greater energy output Star A Star A Star A Star A Star A Star C Star C Star C Star C Star C Same Same Both Both Neither Neither 11) How must Star C be different from Star A to account for the difference in energy output? 12) Two students are discussing their answers to question 11. Student 1: The peaks are at the same place so they must be at the same temperature. If Star C were as big as Star A, it would have the same output. Since the output is lower, Star C must be smaller. Student 2: No. If its output is lower, it must be cooler. Since the temperature of the two stars are the same, they must be the same size. Do you agree or disagree with either or both of the students? Why? Consider the blackbody curves for the stars shown in Figure 2c when answering questions 13 - 15. 13) For each star, describe its color as either reddish or bluish. Star A: Star D: 14) Which star has the greater surface temperature? Explain your reasoning. 15) Which star is larger? Explain your reasoning. (Hint: consider how the energy output and temperatures for the two stars compare.)
Answers
6) Star A gives off more red light because its peak is farther to the red end of the spectrum.
What is spectrum?Spectrum is a term used to describe the complete range of frequencies of electromagnetic radiation, from the longest radio waves to the shortest gamma rays. It is also used to refer to the full range of visible light, from the lowest frequency red light to the highest frequency violet light. This range of frequencies is divided into smaller sections, such as infrared, ultraviolet, and radio waves.
7) Star B gives off more blue light because its peak is farther to the blue end of the spectrum.
8) Both students are correct. Star A gives off more blue light than red light and appears bluish, while Star B gives off more red light than blue light and appears reddish.
11) Star C must be cooler than Star A to account for the difference in energy output.
14) Star D has the greater surface temperature because its peak is higher and closer to the blue end of the spectrum.
15) Star D is larger because its peak is higher and its energy output is greater than Star A.
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why does the temperature remain constant at the boiling point of water when the internal energy is increasing?
Answers
The temperature remain constant at the boiling point of water when the internal energy is increasing because: all the heat energy provided is used up in changing the state of water from liquid to gaseous water vapour.
Meaning of Change in StateA Change in state can be defined as the process of moving from one matter form to another due to heat supplied or removed.
A change in state can happen in different forms of matter.
In conclusion, The temperature remain constant at the boiling point of water when the internal energy is increasing because: all the heat energy provided is used up in changing the state of water from liquid to gaseous water vapour.
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All celestial objects we tracted to each other by gravity.Asteroids A and B are 5 meters (m) part. Asteroids C and D are also 5 m apart. Asteroids A and B both have a mass of 5 kilograms(kg) and asteroids C and D both have a mass of 7 kg.Between which set of asteroids is the gravitational attraction?
A between asteroids c and d because gravitational attraction is greatest with increased mass
B between asteroids a and b because gravitational attraction is greatest with decreased mass
C between asteroids a and b because gravitational attraction is greatest with increased distance
D between asteroids c and d because gravitational attraction is greatest with increased distance
Answers
Which of these is an example of weathering?
A
a landslide moving debris down the side of a mountain
B
a large rock cracking into many smaller pieces around a tree root
C
wind blowing sand from one side of a beach to the other
D
glaciers slowly carrying bits of rock along the ground
Answers
Answer: D
Explanation: The weather is making the Bits of rock and the glaciers are moving it so that is weathering.
does neptune have any impact on earth?
Answers
Answer:
The arrangement of our solar system is just as necessary and cannot be altered in any way without consequences.
Explanation:
If Neptune were to disappear, Pluto would be thrown off course and most likely destroyed, and Uranus’s rings would be reversed due to the gravity balance between the planets.
an arrow in a bow has 70 j of potential energy. assuming no loss of energy due to heat, how much kinetic energy will it have after it has been shot?
Answers
Kinetic energy arrow will have after it has been shot is 70 J.
The formula for kinetic energy is, K = 1/2 mv^2
where K is the kinetic energy, m is the mass of the arrow, and v is its velocity. We can use the potential energy of the arrow to make some assumptions about its kinetic energy.
If we assume that there is no loss of energy due to heat, then all of the potential energy of the arrow will be transformed into kinetic energy. Therefore, we can set the potential energy of the arrow equal to its kinetic energy, K = PE = 70 J
In conclusion, amount of kinetic energy of the arrow after it has been shot is 70 J.
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Three things you learned about waves. Three things you learned about sound. Three things you learned about light.
Answers
Answer:
stuff
Explanation:
1. Waves have different wavelengths
2. Waves are in the ocean
3. Waves can make radio
Sound
1. Sound makes you hear
2. Sound is slower than light
3. There is No sound in space
Light
1. There are many types of light
2. Such as infrared, UV, Microwave
3. Light is the fastest thing in the universe
4. Light cannot escape a black hole
1. 300 meters convert by 1 mile
2. 65 minutes convert by 1 hour
3. 35 yards convert by 1 meter
(show solution)
Answers
300 meters = 0.186411 miles, 65 minutes = 1.08333 hours, 35 yards = 32.004 meters
1. To convert 300 meters to miles, you can use the conversion factor 1 mile = 1609.344 meters. So, 300 meters = 300/1609.344 miles = 0.186411 miles.
2. To convert 65 minutes to hours, you can use the conversion factor 1 hour = 60 minutes. So, 65 minutes = 65/60 hours = 1.08333 hours.
3. To convert 35 yards to meters, you can use the conversion factor 1 yard = 0.9144 meters. So, 35 yards = 35*0.9144 meters = 32.004 meters.
In summary:
300 meters = 0.186411 miles
65 minutes = 1.08333 hours
35 yards = 32.004 meters
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Describe an instance where you might use standard rounding. Describe an instance where you might use order of magnitude estimation.
Answers
Explanation:
Without doing exact calculations, you can round the price of a bag of candy to $2 (rounding up is your safest bet, since it takes sales tax into consideration and gives you an estimate on the high side) and quickly determine that 3 bags of candy would be about $6 and 4 bags would be about $8.Order of magnitude is usually written as 10 to the nth power. The n represents the order of magnitude. If you raise a number by one order of magnitude, you are basically multiplying that number by 10. If you decrease a number by one order of magnitude, you are basically multiplying that number by 0.1Hope you got the answer
a ball is thrown vertically upward from the top of a building 128 feet tall with an initial velocity of 112 feet per second. the distance s (in feet) of the ball from the ground after t seconds is
Answers
the maximum height of the ball is 464 feet.If a ball is thrown vertically upward from the top of a building 128 feet tall with an initial velocity of 112 feet per second.
Assuming no air resistance, the distance s (in feet) of the ball from the ground after t seconds can be modeled by the equation:
\(s(t) = -16t^2 + 112t + 128\)
where \(-16t^2\) is the gravitational pull, 112t is the initial velocity, and 128 is the initial height of the ball.
To find how long it takes for the ball to hit the ground, we set s(t) equal to 0 and solve for t:
\(0 = -16t^2 + 112t + 128\)
We can simplify this equation by dividing both sides by 16:
\(0 = -t^2 + 7t + 8\)
0 = (t - 8)(-t - 1)
So t = 8 or t = -1. Since time cannot be negative, the ball hits the ground after 8 seconds.
To find the maximum height of the ball, we need to find the vertex of the parabolic equation. The x-coordinate of the vertex is given by:
t = -b/2a = -112/(2*(-16)) = 3.5
Plugging this value into the equation, we get:
s(3.5) = \(-16(3.5)^2 + 112(3.5) + 128\) = 464 feet
So the maximum height of the ball is 464 feet.
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express the acceleration a in terms of f, rhob and vb.
Answers
Acceleration in term of f, rhob and vb. is a = F / (rhob * vb) by using different formula a = Force/ mass and m = rhob * vb
To express the acceleration a in terms of f, rhob, and vb, we can use the formula:
a = f / rhob - vb
Where f is the force applied, rhob is the density of the object, and vb is the velocity of the object. This formula allows us to calculate the acceleration based on the given parameters.
you express the acceleration (a) in terms of f, rhob, and vb. To do this, we'll use the formula for acceleration:
a = F / m
where a is acceleration, F is the net force acting on the object, and m is the mass of the object.
Given that rhob represents the density of the object and vb represents the volume, we can calculate the mass using the following formula:
m = rhob * vb
Now, we can substitute this expression for mass into the acceleration formula:
a = F / (rhob * vb)
This expression represents the acceleration (a) in terms of the net force (F), density (rhob), and volume (vb).
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Tiny cell structure that carry out specific functions within the cell
Answers
Answer:
Organelles
Explanation:
I learned this in science.
What is the stretch when you pull with a force of 25 N on a spring with a spring constant of 8 N/m? *
0.06 m
1.28 m
3.13 m
0.12 m
Answers
Hooke's Law
\(\tt F=k.\Delta x\)
k = spring constant
x = stretch
F = force
Input the value
\(\tt \Delta x=\dfrac{F}{k}=\dfrac{25}{8}=3.125\rightarrow 3.13\:m\)
Why Does Elasticity Matter?
Often, a lot of what is covered in courses has little application in the so-called "real world". In this discussion board, you need to post an entry to the discussion board stating why elasticity actually does matter in the everyday lives of businesses and consumers, using an example of a good or service as part of your explanation.
Part I
Using an example of a good or service, you will state why elasticity is applicable in the everyday lives of businesses and consumers. Please be clear in your explanation
Answers
Elasticity is of significant importance in the everyday lives of businesses and consumers as it helps them understand and respond to changes in prices and demand for goods or services. By considering elasticity, businesses can make informed decisions regarding pricing strategies, production levels, and resource allocation. Consumers, on the other hand, can assess the impact of price changes on their purchasing decisions and adjust their consumption patterns accordingly.
Elasticity, specifically price elasticity of demand, measures the responsiveness of consumer demand to changes in price. It indicates the percentage change in quantity demanded resulting from a one percent change in price. Understanding price elasticity allows businesses to determine how sensitive consumers are to changes in price and adjust their pricing strategies accordingly.
For example, let's consider the market for gasoline. Gasoline is a highly price-sensitive good, meaning that changes in its price have a significant impact on consumer demand. If the price of gasoline increases, consumers may reduce their consumption and seek alternatives such as carpooling or using public transportation. In this scenario, businesses need to consider the price elasticity of gasoline to predict and respond to changes in consumer behavior. They might lower prices to stimulate demand or introduce more fuel-efficient options to cater to price-conscious consumers.
In conclusion, elasticity matters because it provides valuable insights into the dynamics of supply and demand, enabling businesses and consumers to make informed decisions in response to price changes. By understanding elasticity, businesses can adapt their strategies to maintain competitiveness, while consumers can optimize their purchasing choices based on price sensitivity.
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the silvered wall of a vacuum bottle takes care of heat flow by
Radiation
Convection
Conduction
Conduction and convection
Answers
Ploughing field with harrow pulled by a tractor is a modern technology
Answers
Ploughing field with harrow pulled by a tractor being a modern technology is true.
What is Technology?This involves the use of scientific knowledge to tackle different life problems and has different sectors.
Ploughing field with harrow pulled by a tractor involves machines and not manual labour which makes it a modern technology.
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under 14 cfr part 91, what are the minimum number of hours that must pass after a person consumes alcohol before they may act as a crewmember?
Answers
Under 14 CFR Part 91, a crewmember must wait at least 8 hours after consuming alcohol before acting as a crewmember of a civil aircraft.
No individual under the influence of alcohol may perform or try to act as a crewmember of a civil aircraft, in accordance with 14 CFR Part 91. A person may not work as a crew member of a civil aircraft within eight hours after ingesting alcohol, while impaired by alcohol, or while using any drug that impairs their ability to make decisions that are unsafe. The 8-hour "bottle-to-throttle" regulation was put in place by the FAA to make sure that crew members had enough time to get the alcohol out of their systems before flying an aircraft.
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When should scientific claims be questioned?
a. If you don't agree with them
b. If they are hard to understand
C. If they are based on a very small sample
d. If they are new
PER
Please select the best answer from the choices provided
Answers
Answer:
C) if they are based on a very small sample
If the surface temperature of the Sun drops by a factor of two while its radius stays fixed, how would the Sun's luminosity change
Answers
If the surface temperature of the Sun were to drop by a factor of two while its radius stays fixed, the Sun's luminosity would decrease by a factor of sixteen.
This is because the luminosity of a star is directly proportional to its surface temperature to the fourth power, and also to the radius squared. If the surface temperature decreases by a factor of two, the luminosity would decrease by a factor of 2 to the fourth power, or sixteen. However, it is important to note that this scenario is unlikely to happen in reality, as the Sun's temperature and luminosity are both determined by complex physical processes happening in its core. Any significant changes to these processes would likely lead to other effects, such as changes in the Sun's radius, mass, and composition.
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One strategy that has been implemented to address the drug epidemic in Philadelphia was the creation of something called
Answers
The One strategy implemented to address the drug epidemic in Philadelphia is the creation of Comprehensive User Engagement Sites (CUES). These sites aim to tackle the widespread issue of drug addiction and related energy health concerns.
The CUES are safe spaces where individuals battling addiction can energy access various harm reduction services, such as clean syringes, medical support, and overdose prevention. These sites provide connections to addiction treatment programs and mental health services, helping people on their path to recovery. By offering safe and supervised spaces, CUES work to reduce public drug use, discarded syringes, and other related issues in the community. CUES also serve as educational hubs, raising awareness and providing information about the dangers of drug addiction and available resources for support. Lastly, these sites foster community engagement and collaboration, uniting various stakeholders in the fight against the drug epidemic. In summary, Comprehensive User Engagement Sites play a significant role in addressing the drug epidemic in Philadelphia. They provide harm reduction services, treatment programs, and community support, all while promoting a safer and healthier environment for the city's residents.
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if we compare light photons and energetic electrons which have constant velocity independent of energy
Answers
Light photons always travel at a constant speed (the speed of light) regardless of their energy, while the velocity of electrons is not constant and can vary with their energy.
Light photons and energetic electrons do not have constant velocities independent of energy. Light photons, which are particles of electromagnetic radiation, travel at a constant speed in a vacuum, which is approximately 299,792 kilometers per second (or about 186,282 miles per second) in a vacuum, denoted as the speed of light (c). This speed is a fundamental constant of nature and remains constant regardless of the energy of the photons. In other words, all photons, regardless of their energy, travel at the same speed in a vacuum.
On the other hand, energetic electrons do not have a constant velocity independent of their energy. According to classical physics, the velocity of an electron can vary depending on its energy. In classical mechanics, the kinetic energy of an object is related to its velocity. However, in the microscopic world of quantum mechanics, the behavior of particles such as electrons is described differently.
In quantum mechanics, the concept of particle velocity becomes less straightforward. Instead of velocity, quantum particles are described by wavefunctions, which represent the probability distribution of finding the particle at a certain location. The wavefunction of an electron evolves over time according to the Schrödinger equation, and it does not directly correspond to a well-defined classical velocity.
However, in certain situations, such as in electron beams or particle accelerators, electrons can be accelerated to high energies. In these cases, the energy of the electrons is related to their speed, but it is not a constant relationship. As the energy of the electrons increases, their speed can also increase, but it is not independent of their energy.
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Which formula is used to calculate the mass of an object if the force and acceleration are known?
Answers
Answer:
m=F/a so the second one
force÷ by acceleration
Calculate the density of each ball. Use the formulaD = m/Vwhere D is the density, m is the mass, and V is the volume. Record your calculations in Table A of your Student Guide.
Answers
To calculate the density of each ball, we can use the formula D = m/V, where D represents density, m represents mass, and V represents volume.
Let's assume we have two balls, Ball A and Ball B.
For Ball A:
Given mass (m) = 75 grams
Given volume (V) = 50 cubic centimeters
Using the formula D = m/V, we can substitute the values:
Density of Ball A (D_A) = 75 grams / 50 cubic centimeters = 1.5 grams per cubic centimeter
For Ball B:
Given mass (m) = 100 grams
Given volume (V) = 80 cubic centimeters
Using the formula D = m/V, we can substitute the values:
Density of Ball B (D_B) = 100 grams / 80 cubic centimeters = 1.25 grams per cubic centimeter
Therefore, the density of Ball A is 1.5 grams per cubic centimeter, and the density of Ball B is 1.25 grams per cubic centimeter.
Please note that the units for density are typically expressed as mass per unit volume, such as grams per cubic centimeter or kilograms per cubic meter, depending on the system of measurement used.
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Question 1 of 24 Click to read the passage from "Everyday Use," by Alice Walker. Then answer the question. Which of the following best describes the internal conflict in the passage? OA. Maggie doesn't know whether to feel happy or sad to see Dee. B. Maggie's scars make her feel insecure. C. Maggie and Dee are very different. D. Maggie dislikes waiting for her sister. SUBMIT
Answers
The internal conflict in the passage is about how Maggie feels about Dee's arrival. Maggie is feeling insecure about her scars and how Dee will react to her seeing her.
The correct answer to this question is option B.
Maggie is self-conscious of her appearance due to the burns on her skin. Her scars resulted from a house fire in which she was injured while trying to save some family heirloom quilts. On the other hand, Dee is confident and proud of her African heritage.
She changed her name to Wangero, saying that Dee no longer represents her real personality. Dee has also gained a formal education, moved to a big city, and embraced new ideas while rejecting her past, which has left Maggie feeling left behind in rural life.
In conclusion, the passage's internal conflict is Maggie's insecurity about her scars and how her sister Dee will react to seeing her.
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The subtle differences in the position of the brake pedal and the accelerator on every car have been considered responsible for an effect labeled unintended acceleration. This negative transfer effect occurs due to _____.
Answers
This negative transfer effect occurs due to the inconsistency in pedal placement across different car models.
Unintended acceleration is a phenomenon where a driver unintentionally accelerates their vehicle, often leading to accidents.
This negative transfer effect can occur due to inconsistencies in the position of the brake pedal and the accelerator pedal across different car models.
Drivers become accustomed to the pedal placement in their own vehicles, and when they switch to a different car, the subtle differences in pedal position may cause them to press the wrong pedal or apply excessive force, resulting in unintended acceleration.
It highlights the importance of standardizing pedal placement in the automotive industry to improve safety.
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Manipulate the mass of the puck by dragging the Mass bar to the right for increasing the mass and to the left for decreasing it. What changes do
you see in the speed of the puck? Which principle works behind this change?
Answers
Answer:
The positive charges point away from each other
Explanation:
Arrows point away from the positive charge and toward the negative charge.
Increasing the mass of the puck decreases its speed, while decreasing the mass increases its speed. This change is explained by the principle of conservation of momentum.
Explanation:When the mass of a puck is increased, its speed decreases, and when the mass is decreased, the speed increases. This is known as the principle of conservation of momentum, which states that the total momentum of a system remains constant when there is no external force acting on it. The momentum of an object is the product of its mass and velocity, so when the mass of the puck is increased, the momentum decreases, resulting in a decrease in speed. Similarly, when the mass is decreased, the momentum increases, leading to an increase in speed.
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What is a parametrization of a curve in the xy plane?
Answers
A parametrization of a curve in the xy plane is a method of expressing the coordinates of each point on the curve as functions of a single parameter.
A parametrization of a curve in the xy plane is a method of expressing the coordinates of each point on the curve as functions of a single parameter. When a curve is given in terms of parametric equations, it is possible to define the curve using a set of parametric equations.
A curve is defined as a continuous function of at least one variable. A curve in the xy-plane is a graph that consists of a set of points (x,y), where x and y are real numbers.
A parametric curve is a curve that is defined using parametric equations, which are equations that express the coordinates of each point on the curve as functions of a single parameter. The parameter is usually denoted by t, but it can be any letter or symbol.
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\(\huge \bf༆ question༄\)
Three stones A, B , C are projected from surface of very long inclined plane with equal speeds and different angles of projection as shown in the figure. The incline makes an angle \( \theta \) with horizontal. if \( \sf {H_A , H_B and H_C} \) are maximum height attained by A, B and C respectively above inclined plane then choose the Correct choice among them ~
\( \sf{H_A + H_C = H_B }\)
\( \sf{H_A {}^{2} + H_C {}^{2} } = H_B {}^{2} \)
\( \sf H_A + H_C = 2 H_B \)
\(\sf H_A {}^{2} + H_C {}^{2} = 2 H_B {}^{2} \)
![[tex]\huge \bf question[/tex]Three stones A, B , C are projected from surface of very long inclined plane](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/hbxnNIJUzem66ZiINJOTR7NxHt1UMbT1.jpeg)
Answers
\(\large\underline{\underline{\maltese{\red{\pmb{\sf{\: Correct \: option \: is \: A) :-}}}}}}\)
\(\rule{300pt}{3pt}\)
\(\large{|\underline{\mathtt{\red{E}\blue{x}\orange{p}\pink{l}\blue{a}\purple{n}\green{a}\red{t}\blue{i}\green{o}\orange{n:-}}}}\)
\( \large \tt \red {H_{B} = \frac{u ^{2} }{2g \sin \theta } }\)\( \large \tt \orange { H_{A} = \frac{u ^{2} \sin ^{2} \alpha }{2g \sin \theta} }\)\( \large \tt \blue { H_{C} = \frac{u ^{2} \sin ^{2} (90 - \alpha )}{2g \sin \theta} = \frac{u ^{2} \cos ^{2} \alpha }{2g \sin \theta } }\)\( \large \tt \pink{⇒ H_{C} + H_{A} = H_{B}}\)
The resultant of the vectors is \(H_A + H_C = H_B\).
What is a resultant vector?A resultant vector is the vector sum of two or more vectors.
The given vectors;
Height of vector A = HAHeight of vector B = HBHeight of vector C = HCThe height of vector B is the resultant of the three given vectors.
When the vectors are drawn from head to tail, the vector B forms the resultant of the two other vectors (A and C).
Thus, the resultant of the vectors is \(H_A + H_C = H_B\).
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Newton's Laws
Bode made a rocket using an empty plastic bottle and fins made out of cardboard. After partially filling the bottle with water, he
pumps air into the bottle using a pump attached to the rocket with plastic tubes. When the pressure in the bottle becomes high
enough the water gushes out and launches the rocket into the air, as shown in the diagram below.
Rocket
Pressurized Air
Water
Pump
-Launch Tube
Image modified courtesy of NASA
How does the force that causes the water to leave the rocket compare to the force that causes the rocket to launch?
They are ental
Answers
Answer:They are equal and act in opposite directions.
Explanation:Newton's third law of motion states that for every action there is an equal and opposite reaction. In the case of Bode's rocket, the pressurized air in the bottle forces the water to gush downward out of the bottle, causing the rocket to launch upward into the air. The force of the water gushing downward is equal to the upward force on the rocket. So, the two forces are equal and act in opposite directions.
The force that causes the water to leave the rocket compared to the force that causes the force to launch is equal but opposite in direction.
What is Newton's law?There is a threes law given by the scientist newton in relation to the motion. The first law tells that if a body is in stop mode, then they become in motion once an external force is applied to them. The second law tells that force is equal to the product of mass and acceleration of the body. The third law tells that if you apply force to an object, then the object also applies force in reaction.
According to Newton's third law, the rocket applies force to the water, then the water also exerts a force on the rocket.
In the instance of Bode's rocket, the bottle's pressured air causes the water to pour out of the bottle downward, which causes the rocket to shoot upward into the air. The upward force on the rocket is equivalent to the force of the water pouring down. Therefore, the two forces are equivalent and exert opposing forces.
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Two 0.967 kg masses are 4.439 m apart on a frictionless table. Each has 16.074 microCoulombs of charge. What is the initial acceleration of each mass if they are released and allowed to move?
Answers
Firstly, we can write the equation for the electric force. It is:
\(F_e=k\frac{q_1q_2}{d^2}\)By applying our values we get
\(F_e=(9*10^9)\frac{(16.074*10^{-6})*(16.074*10^{-6})}{(4.439)^2}=0.118N\)Now, if we remind ourselves of Newton's law, we know that
\(\vec{F}=m.\vec{a}\)We know the mass, and we know the Force, so we can find out the acceleration, this gives us:
\(0.118=0.967*a\)Thus
\(a=\frac{0.118}{0.967}=0.122\frac{m}{s^2}\)Our final acceleration is 0.122 m/s^2