The initial speed of the car with a length of the skid mark of about 64 m long and kinetic friction of 0.70 is 29.63 m/s.
A force that acts between moving surfaces is referred to as kinetic or sliding friction. It is the frictional force that prevents relative motion between surfaces in contact. The formula to calculate this kind of friction is, \(f _k =\mu_kN\) where uk is the coefficient of friction and N is the normal force.
Given the length of the skid mark (Δd) is 64 m and the coefficient of kinetic friction is 0.70. The final velocity vf is 0 because the car stops.
Let us assume the initial velocity vi, mass m, and deceleration a. Then, the normal force acting on the car is N = mg. The kinetic friction will be,
\(f _k =\mu_kN\\f_k=\mu_kmg\)
Let's assume the only force acting on the system is kinetic friction, then friction force=ma. Solve this equation with the above equation,
\(\begin{aligned}ma&=\mu_kmg\\a&=\mu_kg\end{aligned}\)
Then, the initial speed is calculated as follows
\(\begin{aligned}v_f^2&=v_i^2-2a\Delta d\\0&=v_i^2-2\mu_kg\Delta d\\v_i^2&=\mathrm{2\times0.70\times9.80\;m/s^2\times64\;m}\\v_i^2&=\mathrm{878.08\;m^2/s^2}\\v_i&=\mathrm{29.63\;m/s}\end{aligned}\)
The answer is 29.63 m/s.
The complete question is -
Police investigators, examining the scene of an accident involving two cars, measured 64 m long skid marks on one of the cars, which nearly came to a stop before colliding. The coefficient of kinetic friction between rubber and the pavement is about 0.70. Estimate the initial speed of that car, assuming a level road.
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If your mass is 63.7 kg, and you are standing 7.5 m away from a boulder witha mass of 0.750.6 kg, what is the gravitational force between you and theboulder ? Newtona taw of gravitation is gravity = amputa, The gravitationalconstant Gis 6.67 10-11 Nm/kgA. 9.82* 10-NB. 7.37* 10-NC. 552* 10-ND. 1.10*10N
The gravitational force is given as:
\(F=G\frac{m_1m_2}{r^2}\)Plugging the values given we have:
\(\begin{gathered} F=(6.67\times10^{-11})\frac{(63.7)(9750.6)}{(7.5)^2} \\ F=7.37\times10^{-7} \end{gathered}\)Therefore the answer is B.
(D) âv = at where a = F/m. So we have âv = 10^-14 à 10^-9 ÷ 10^-30 = 10^(-14 + -9 - (-30))
The speed of the electron after it has accelerated for the 10-9 second is most nearly
(A) 10^1 m/s (B) 10^3 m/s (C) 10^5 m/s (D) 10^7 m/s (E) 10^9 m/s
The speed of the electron, after it has accelerated for 10^-9 seconds, is 10^5 m/s. The correct option is C.
Acceleration is the rate at which an object changes its velocity with respect to time. It is a vector quantity, which means it has both magnitude and direction. Mathematically, acceleration is defined as the change in velocity divided by the time taken for that change to occur.
Given:
Acceleration of the electron, a = F/m = 10^-14 N / 9.1 x 10^-31 kg = 1.0989 x 10^17 m/s^2
Time for which electron is accelerated, t = 10^-9 s
Using the equation, âv = at, where âv is the change in velocity, we get:
âv = at = 1.0989 x 10^17 m/s^2 x 10^-9 s = 1.0989 x 10^8 m/s
Therefore, the speed of the electron after it has accelerated for the 10^-9 second is approximately 10^8 m/s, which is closest to option (C) 10^5 m/s.
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1. In a discussion, outline elaboratively 5 of the 10 major external forces that affect organizations: economic, social, cultural, demographic, environmental, political, governmental, legal, technological, and competitive. (You may choose any 5 ) 2. I want you to tell me CONVINCINGLY, the importance of gathering competitive intelligence. 3. In business we are aware that economic factors have tremendous impacts in the various strategy applications. Name a few economic variables that we need to monitor. 4. Social, cultural, demographic, and environmental changes have a major impact on virtually all products, services, markets, and customers, that's a given, in your own opinionated words why is this so. 5. List 5 key external factors of your choice including both opportunities and threats you believe affect the firm and its industry. List the opportunities first and then the threats. 6. Explain your opinion on how to prioritize and determine a firm's internal weaknesses and strengths. 7. What do you understand about financial ratio analysis, what is it, and why is it so important in business. 8. A major responsibility of strategists is to ensure development of an effective external audit system. Why do you think this is so? Explain your opinion in this.
1. Five major external forces that affect organizations are economic, social, cultural, demographic, and technological. Economic factors such as inflation and interest rates can impact a company's profitability and purchasing power. Social factors like changing consumer preferences and lifestyles can influence demand for products and services.
Cultural factors like values and beliefs can shape consumer behavior and market trends. Demographic factors such as population size and age distribution can affect target markets.
Technological factors like advancements in automation or digitalization can disrupt industries and create new opportunities. These external forces shape the business environment and organizations must monitor and adapt to them to stay competitive.
2. Gathering competitive intelligence is crucial for businesses because it provides valuable insights about their competitors' strategies, strengths, weaknesses, and market position.
By understanding the competitive landscape, businesses can identify opportunities and threats, make informed decisions, and develop effective strategies.
Competitive intelligence helps businesses stay ahead of their competitors, anticipate market trends, identify emerging technologies, and improve their own products or services. It allows businesses to benchmark their performance, evaluate their competitive advantage, and identify areas for improvement.
Ultimately, gathering competitive intelligence empowers businesses to make proactive and strategic decisions that can lead to sustainable growth and competitive advantage.
3. In business, various economic variables need to be monitored as they have significant impacts on strategy applications. Some important economic variables include GDP (Gross Domestic Product), inflation rate, exchange rates, interest rates, consumer spending, unemployment rate, and industry-specific factors like raw material prices or energy costs.
Monitoring these variables helps businesses understand the overall economic conditions, identify market opportunities, and assess potential risks. For example, a high inflation rate may impact pricing strategies, while a favorable exchange rate can benefit export-oriented businesses.
By monitoring economic variables, businesses can adapt their strategies accordingly and make informed decisions to navigate the dynamic business environment.
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a large room is filled with mousetraps, each trap set with two plastic balls on the arm of the trap. a single plastic ball is thrown into the room, setting off one trap. this causes three plastic balls to be in the air, which then land and set off three other traps, and so on. how could this be evaluated as a model for fission?
The mousetrap model demonstrates a chain reaction, similar to fission, where the release of energy from one reaction triggers subsequent reactions.
In the mousetrap model, the initial trigger sets off a chain reaction where each reaction leads to multiple subsequent reactions. Similarly, in nuclear fission, the release of energy from one nucleus splitting triggers the splitting of neighboring nuclei, resulting in a self-sustaining chain reaction.
While the specific mechanisms and energy scales differ, the concept of a chain reaction in the mousetrap model provides a simplified analogy for understanding the basic principle of energy release and propagation in fission reactions.
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a physics instructor drops a magnet through a copper pipe, as illustrated in figure 25-16. the magnet falls very slowly, and the class concludes that there must be some force opposing gravity. what is the direction of the current induced in the pipe by the falling magnet if the s-pole is toward the bottom? the induced current produces a magnetic field. what is the direction fo the field? how does this field reduce the acceleration of the falling magnet?
Direction of the current: Clockwise (when viewed from above).
When a magnet is dropped through a copper pipe (conductor), the motion of the magnet relative to the conductor induces an electric current due to electromagnetic induction. According to Lenz's law, the induced current will create a magnetic field that opposes the change in the magnetic field produced by the falling magnet.
In this case, if the south (S) pole of the magnet is toward the bottom, the induced current in the copper pipe will flow in a clockwise direction (when viewed from above) to create a magnetic field that opposes the motion of the falling magnet.
The induced magnetic field produced by the current in the pipe interacts with the magnetic field of the falling magnet. This interaction results in a force known as the magnetic braking force, which opposes the force of gravity acting on the magnet. As a result, the magnetic braking force reduces the acceleration of the falling magnet, causing it to fall more slowly. The energy of the falling magnet is converted into electrical energy in the form of the induced current, leading to a gradual decrease in the magnet's speed.
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Chapter 3 Newton’s second law force and acceleration
According to the second motion law, acceleration is created. As a result, the force applied to an item equal its and even times the rate at which its velocity changes over time (acceleration).
What is the second law of Newton? Chapter 6: Force and Acceleration in the Second Law of Newton's of Motion?According to Newton's second law, an object's acceleration is approximately equal to its net force's magnitude, moves in the exact same direction as its net force, and is negatively proportionate to the weight of the thing.
How is the second law of Newton's of acceleration and force is expressed?F = ma, or force, is measured as mass times acceleration. According to the rule, an object's acceleration is influenced by both its mass and the force being applied. The law on kinetic energy and force is another name for Newton's second principle of motion.
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there are three equivalent ways to write the energy stored inside a capacitor. which formula is not one of them?
In an electric field, a capacitor is a device that stores electrical energy. It has two terminals and is a passive electrical component.
Capacitance refers to a capacitor's effect. While there is some capacitance between any two nearby electrical wires in a circuit, a capacitor is a component made to increase capacitance. The term "condenser" or "compensator" originally applied to the capacitor. Condenser microphones, sometimes known as capacitor microphones, are a remarkable exception to the general lack of usage of this name and its cognates in English.
a capacitor is an electrical energy storage device that consists of two conductors that are isolated from one another and placed near to one another. A straightforward illustration of one such storage device is a parallel-plate capacitor. The capacitor is said to have a charge Q if positive charges totaling total charge +Q are deposited on one of the conductors and an equal number of negative charges total charge Q are placed on the second conductor.
The first, third, and fourth formulae determine how much electrical energy is stored in the capacitor, but the second formula is inaccurate.
The second option is the correct response.
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If the distance between two objects is 4.00 m and the distance is tripled, then what is the new distance? 3
If the distance between two objects is 4.00 m and the distance is tripled, then the new distance will be 12.00 m.
To find out the new distance, you need to multiply the original distance by the factor by which it is tripled, which is 3.In other words, if the distance between two objects is "d", and it is tripled, then the new distance is 3d.
Using this formula, if the original distance is 4.00 m, then the new distance will be 3 x 4.00 m = 12.00 m.
The new distance is three times the original distance.
Therefore, the new distance between the two objects will be 12.00 meters if the original distance was 4.00 meters and it was tripled.
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Drag each tile to the correct box.
Match the job title to its primary function.
ll rights reserved
computer system engineer
online help desk technician
document management specialist
provide remote support to users
data scientist
analyze unstructured, complex information to find patterns
design and implement systems for data storage
implement solutions for high-level technology issues
G
Those who work in computer assistance often have strong problem-solving, communication, and analytical skills as well as a broad knowledge of technology.
How does a technician perform their job?An expert worker who services, installs, replaces, and fixes various systems and pieces of equipment is known as a technician. Depending on the situation, a technician spends their days working on a variety of duties like problem analysis, test administration, and equipment repair.
An engineer is what kind of employee?A technician is an employee in the technological industry who possesses the necessary ability and technique as well as a practical comprehension of the theoretical underpinnings.
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A change in the thermal energy can cause other changes to occur in the
substance. Which of the following could occur as a result of decreasing
the thermal energy of a gas? *
Answer:
The gas will change to a liquid
Explanation:
Basically condensation happens
To cut down on injuries, a highway guardrail is designed to be moved a maximum of 0.05 meters when struck by a car. What is the value of the force constant of the material in the guardrail if it is to withstand the impact of a 1250-kg car traveling at 4.16 m/s ?
Answer:
216.32kN
Explanation:
Force can be expressed according to the formula;
Force = mass ×acceleration
Given
Mass = 1250kg
Velocity = 4.16m/s
Distance = 0.05m
We can get the acceleration first using the equation of motion
v² = u²+2as
4.16² = 0²+2a(0.05)
17.3056 = 0.1a
a = 17.3056/0.1
a = 173.056m/s²
Get the force required
Force = 1250×173.056
Force = 216,320N
Force = 216.32kN
Hence the force constant of the material is 216.32kN
A certain hydrogen spectral line has wavelength 1875 nm when measured in the laboratory. that same line, when measured in a star, has wavelength 1872 nm. what can we say about the star?
The star having wavelength 1872nm is moving toward the earth.
It happens due to the phenomena of Doppler shift. Doppler effect, commonly known as Doppler shift and it is defined as The change is the wavelength or frequency of waves as a result of an observer's motion In relation to the web source.
In visible light it is possible to see the apparent wavelength emitted by stars and galaxies. As a result, a start moving towards the earth appears to emit light with a the short wavelength.
Then the light shows that is static. It is known as blue shift because here spectrum is shifted towards the blue end due to the shortest wavelength.
And when a start goes away from us, it appears that it shifts It's light towards longer wavelength.
This end is referred as redshift because it is closer to the red end of the spectrum.
Add the spectrum of a particular star. Shown that the line appearing at the shortest wavelength is 1872nm in comparison to the laboratory measurement. This shows the same hydrogen line at a greater wavelength 1875.nm results that star is moving towards the Earth.
The star having wavelength 1872nm is moving toward the earth.
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Ņ
Rio Grande
Gulf of
Mexico
Rio Grande
Valley
How did the delta at the end of the Rio Grande form?
A
Sand and mud from the Gulf of Mexico were washed ashore by tsunamis.
B
The river cut through the solid bedrock of the valley.
с
The river deposited large amounts of sediment from land erosion.
D
Hurricanes pushed soil and debris from the Gulf of Mexico onto the land.
The Rio Grande delta was formed by the river depositing large amounts of sediment from land erosion, forming a unique and diverse ecosystem and a vital part of the region's economy.
The Rio Grande is a river that runs along the border of Texas and Mexico. It is approximately 1,900 miles long and forms part of the border between Texas and Mexico. The Rio Grande delta is the area where the river flows into the Gulf of Mexico and is home to many different species of plants and animals. Tsunamis and hurricanes pushed soil and debris from the Gulf of Mexico onto the land, but these events did not form the delta. Sediment from land erosion is the main process that formed the Rio Grande delta.
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Energy. (4 points)
2. When you eat pizza, Chemical Energy is transferred to
O Solar
Electrical
Mechanical
Chemical
When you eat pizza, chemical energy is transferred to mechanical energy.
What is energy?Energy can be defined as the ability to do work. Thus, energy must be possessed or transferred to a physical object (body) before work can be done.
The forms of energy.In Science, there are different forms of energy and these include the following;
Sound energyGravitational energyElectrical energyChemical energyElectromagnetic energyMechanical energyWhen a person eats pizza, the chemical energy contained in this snack is transferred to mechanical energy.
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PLEASE HELP ME!!!! In your own words, what does Newton's first law mean to you?
Answer:
His first law states that unless it is forced to change its state through external force, every object will remain stationary or move in a straight line at a constant speed. It is usually taken as the definition of inertia.
Explanation:
64. an express train passes through a station. it enters with an initial velocity of 22.0 m/s and accelerates opposite to the motion at a rate of 0.150m/s2 as it goes through. the station is 210.0 m long. (a) how fast is it going when the nose leaves the station? (b) how long is the nose of the train in the station? (c) if the train is 130 m long, what is the velocity of the end of the train as it leaves? (d) when does the end of the train leave the station?
Therefore, the final velocity of the train when the nose leaves the station is 27.4 m/s. Therefore, the nose of the train is in the station for 4.32 seconds. Therefore, the velocity of the end of the train as it leaves the station is 20.5 m/s. Therefore, the end of the train leaves the station after 15.74 seconds.
What is velocity?The primary indication of an object's position and speed is its velocity. It is defined as the distance traveled by an item in one unit of time. The displacement of an item in unit time is defined as velocity. The directional speed of an item in motion as an indicator of its rate of change in position as perceived from a certain frame of reference and measured by a specific standard of time (e.g., 60 km/h northbound) is known as velocity. Simply put, velocity is the rate at which something travels in a certain direction. For example, the speed of a car driving north on a highway or the speed of a rocket after launch.
Here,
(a) To find the final velocity of the train when the nose leaves the station, we can use the equation:
v² = u² + 2as
where v is the final velocity, u is the initial velocity, a is the acceleration, and s is the distance traveled. We can split the distance traveled into two parts: the distance covered while accelerating, and the length of the station.
For the distance covered while accelerating, the initial velocity is 22.0 m/s, the acceleration is -0.150 m/s² (opposite to the motion of the train), and the distance is the length of the station minus the initial distance covered by the train:
s₁ = (210.0 m - 0 m) - (130.0 m + 22.0 m/s × t) = 80.0 m - 22.0 m/s × t
where t is the time taken to cover the distance.
For the distance covered in the station, the initial velocity is the final velocity from the acceleration phase, and the acceleration is 0 (since the train is no longer accelerating):
s₂= 130.0 m
The total distance traveled is the sum of s₁ and s₂:
s = s₁+ s₂ = 80.0 m - 22.0 m/s × t + 130.0 m
Substituting the given values into the first equation, we get:
v² = (22.0 m/s)² + 2 × (-0.150 m/s²) × [80.0 m - 22.0 m/s × t + 130.0 m]
Simplifying, we get:
v² = 22.0² - 0.3t + 2.0 × 130.0
v² = 484 - 0.3t + 260
v² = 744 - 0.3t
Taking the square root of both sides, we get:
v = √(744 - 0.3t)
At the moment when the nose of the train leaves the station, the distance traveled is 210.0 m. Therefore, we can set s = 210.0 m and solve for t:
210.0 = 80.0 m - 22.0 m/s × t + 130.0 m
Simplifying, we get:
t = 4.32 s
Substituting this value into the expression for v, we get:
v = √(744 - 0.3 × 4.32)
v = 27.4 m/s
Therefore, the final velocity of the train when the nose leaves the station is 27.4 m/s.
(b) The time that the nose of the train spends in the station is the time it takes to travel the length of the station at a constant speed, which is the time between the end of the acceleration phase and the moment when the nose leaves the station. From part (a), we know that the acceleration phase lasts for:
t₁= (v - u) / a = (27.4 m/s - 22.0 m/s) / (-0.150 m/s²) = 36.67 s
Therefore, the total time it takes for the nose to leave the station is:
t₂ = t₁ + 4.32 s = 41.0 s
The time that the nose of the train spends in the station is:
t_station = t₂- t₁ = 4.32 s
Therefore, the nose of the train is in the station for 4.32 seconds.
(c) The velocity of the end of the train as it leaves the station can be found using the same kinematic equation:
v² = u²+ 2as
where v is the final velocity, u is the initial velocity, a is the acceleration, and s is the distance.
In this case, the initial velocity is 22.0 m/s, the acceleration is -0.150 m/s², and the distance is the length of the station:
s = 210.0 m
Substituting these values, we get:
v² = (22.0 m/s)² + 2(-0.150 m/s²)(210.0 m)
v² = 484.0 m²/s² - 63.0 m²/s²
v² = 421.0 m²/s²
Taking the square root of both sides, we get:
v = 20.5 m/s
Therefore, the velocity of the end of the train as it leaves the station is 20.5 m/s.
(d) To find the time when the end of the train leaves the station, we can use the same kinematic equation used in part (b):
s = ut + (1/2)at²
where s is the displacement of the end of the train, which is 210.0 m + 130.0 m = 340.0 m, u is the initial velocity of the train, and a is the acceleration of the train.
Substituting the given values, we get:
340.0 m = (22.0 m/s)t + (1/2)(-0.150 m/s²)t²
Simplifying and solving for t, we get:
t = 15.74 s
Therefore, the end of the train leaves the station after 15.74 seconds.
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As compared to the asthenosphere, the lithosphere is ____________. a. hotter and more able to flow b. hotter and less able to flow c. cooler and more able to flow d. cooler and less able to flow
Answer:
its a solid but can flow
Explanation:
those answers to choose from are wrong
The period of a satellite in orbit around earth does not depend on which of the following quantities?
A. G, the universal gravitational constant.
B. The mass of the Earth.
C. The mass of the satellite.
D. the distance from the center of the earth to the satellite.
The correct option is C. The mass of the satellite. The period of a satellite in orbit around the earth does not depend on the mass of the satellite. This is the quantity that doesn't affect the time taken by a satellite to complete one orbit around the earth.
In the field of astronomy, a satellite is a body orbiting around another celestial body. For example, the Moon is Earth's natural satellite. In the field of telecommunications, artificial satellites are used to provide communication links between far-off locations. The period of a satellite is the time taken for a satellite to complete one orbit around its celestial body.
The formula to determine the period of a satellite is given below: T = 2π√r³/GM Where: T represents the period of the satellite R represents the distance from the center of the Earth to the satellite M represents the mass of the Earth G represents the universal gravitational constant. Therefore, we can say that the period of a satellite in orbit around earth does not depend on the mass of the satellite. So, the correct option is C. The mass of the satellite.
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a ball bounce on the ground. at what position (A,B,C)does the ball have the greatest potential energy? kinetic energy? explain your answer.
Answer:
What is the meaning of the kinetic I think the answer is both the ball has both Kinetic and potential energy so I think is the answer is true
Question 5 (1 point) true or false: Balanced forces acting on an object result in constant velocity True False
Answer:
false
Explanation:
By Newton's first law (An object at rest stays at rest and an object in motion stays in motion with the same speed and in the same direction unless acted upon by an unbalanced force), neither speed nor direction change. Our force is balanced.
Balance forces could happen when the object is at rest but not all the time. A balance force is when a object is being push in opposite directions, which would cause the object to stay still or move at a constant speed. Which would mean that balance force could take place when a object is moving or when a object is at rest.
Answer:
I believe its true:') sorry if im wrong..
a toy cork gun contains a spring whose spring constant is 18n/m. the spring is compressed 7.47 cm and then used to propel a 9 cork. the cork, leaves the spring from the spring's relaxed length. with what speed, in m/s, does the cork leave the spring?
The cork leaves the spring at a speed of 3.02 m/s.
We can use the conservation of energy to determine the speed at which the cork leaves the spring.
The initial potential energy stored in the spring is converted to the kinetic energy of the cork as it leaves the spring. Neglecting air resistance, the conservation of energy equation is:
(1/2) k x^2 = (1/2) m v^2
where k is the spring constant, x is the distance the spring is compressed, m is the mass of the cork, and v is the speed of the cork as it leaves the spring.
Substituting the given values:
(1/2) * 18 N/m * (7.47 cm / 100 cm/m)^2 = (1/2) * 0.009 kg * v^2
Solving for v:
v^2 = (18 N/m * (7.47 cm / 100 cm/m)^2) / 0.009 kg
v^2 = 9.119 m^2/s^2
Taking the square root of both sides:
v = 3.02 m/s
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what is unique about the electron configuration of colorless ions
Answer:they have no unpaired electrons in the electron configuration in the orbitals.
Explanation:
give the other person the brainliest please. :) :)
ACTIVITY 4
Applying the equation learned, answer the following problems:
1. A bowling ball whose mass is 4.0 kg is rolling at a rate of 2.5 m/s. What is its momentum? p = m/s. What Is Its Momentum?
Given:
Find:
Formula:
Solution:
2. A skateboard is rolling at a velocity of 3.0 m/s with a momentum of 6.0 kg-m/s. What is its mass?
Given:
Find:
Formula:
Solution:
3. A pitcher throws a baseball with a mass of 0.5 kg and a momentum of 10 kg-m/s. What is its velocity?
Given:
Find:
Formula:
Solution:
Subject Is Science
Good Perfect Complete=Brainlist
Copy Wrong Incomplete=Report
Good Luck Answer Brainly Users:-)
Answer:
1) 10 kg-m/s
2) 2 kg
3) 20 m/s
Explanation:
The momentum of an object can be calculated using the equation:
\(\large\boxed{p=mv}\)
where:
p is momentum (measured in kilogram meters per second).m is mass (measured in kilograms).v is the velocity (measured in meters per second).\(\hrulefill\)
Question 1For this question we need to find the momentum of a bowling ball whose mass is 4.0 kg is rolling at a rate of 2.5 m/s.
Given values:
m = 4.0 kgv = 2.5 m/sSubstitute the given values into the momentum formula and solve for p:
\(p=4.0\;\text{kg} \cdot 2.5\;\text{m/s}\)
\(p=10\;\text{kg m/s}\)
Therefore, the momentum of the bowling ball is 10 kg-m/s.
\(\hrulefill\)
Question 2For this question we need to find the mass of a skateboard rolling at a velocity of 3.0 m/s with a momentum of 6.0 kg-m/s.
Given values:
p = 6.0 kg-m/sv = 3.0 m/sAs we want to find mass, rearrange the momentum formula to isolate m:
\(\large\boxed{m=\dfrac{p}{v}}\)
Substitute the given values into the formula and solve for m:
\(m=\dfrac{6.0\; \text{kg m/s}}{3.0\; \text{m/s}}\)
\(m=2\;\text{kg}\)
Therefore, the mass of the skateboard is 2 kg.
\(\hrulefill\)
Question 3For this question we need to find the velocity of a baseball with a mass of 0.5 kg and a momentum of 10 kg-m/s.
Given values:
p = 10 kg-m/sm = 0.5 kgAs we want to find velocity, rearrange the momentum formula to isolate v:
\(\large\boxed{v=\dfrac{p}{m}}\)
Substitute the given values into the formula and solve for v:
\(v=\dfrac{10\; \text{kg m/s}}{0.5\; \text{kg}}\)
\(v=20\;\text{m/s}\)
Therefore, the velocity of the baseball is 20 m/s.
A uniform solid sphere rolls down an incline. a) What must be the incline angle (in degrees) if the linear acceleration of the center of the sphere is to have a magnitude of 0.23g? b) If a frictionless block were to slide down the incline at that angle, would its acceleration magnitude be more than, less than, or equal to 0.23g?
The incline angle should be about 4.7 degrees and the block's acceleration would be greater than that of the rolling sphere.
a) Let M be the mass of the sphere, R be its radius, and θ be the incline angle. When the sphere rolls down the incline without slipping, the friction force acting on it causes a torque about its center of mass, which results in a rotational acceleration. If a is the linear acceleration of the center of mass, and α is the angular acceleration, then we have:
a = α R
Also, the torque τ caused by the friction force is given by:
\(τ = I α\)
where I is the moment of inertia of the sphere about its center of mass. For a solid sphere, I is given by:
\(I = (2/5) M R^2\)
Since the sphere rolls without slipping, the friction force is related to the normal force N by:
\(f = μ N\)
where f is the friction force, and μ is the coefficient of static friction. The normal force is related to the weight of the sphere by:
N = M g cos θ
where g is the acceleration due to gravity.
The net force acting on the sphere down the incline is given by:
\(Fnet = M g sin θ - f\)
The linear acceleration of the center of mass is given by:
\(a = Fnet / M\)
Substituting for f and N, we get:
\(a = g (sin θ - μ cos θ)\)
Equating this to α R, we get:
g (sin θ - μ cos θ) = α R
Substituting for α using the expression for I and τ, we get:
\(g (sin θ - μ cos θ) = τ / (2/5 M R)\)
Substituting for τ using the expression for f and N, we get:
\(g (sin θ - μ cos θ) = (μ M g cos θ) R / (2/5)\)
Simplifying, we get:
\(tan θ = (5/7) μ\)
Substituting the given values, we get:
tan θ = (5/7) (0.23)
\(θ = arctan(0.082)\)
θ = 4.7 degrees (approximately)
Therefore, the incline angle should be about 4.7 degrees
b) Since the block is frictionless, its acceleration down the incline is given by:
a' = g sin θ
Substituting the value of θ obtained in part a), we get:
a' = g sin(4.7) ≈ 0.41 g
Since this is greater than 0.23g, the block's acceleration would be greater than that of the rolling sphere.
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_______ drives the energy and motion of waves? ______
Answer:
Wind-driven waves, or surface waves,
Explanation:
5. Protons and anti-protons interact via the process:
p+p2n+2π* + n°
a) Write this interaction at the quark level and hence show that there is no change in quark flavour.
b) Show that baryon number is conserved.
c) What evidence is there that this is controlled by the strong interaction?
a) The interaction between a proton and an antiproton can be written at the quark level as: uud + uud → udd + udd + uubar + uubar.
b) the total baryon number before and after the interaction is the same:
B_before = 1 (proton) + 1 (neutron) = 2
B_after = 1 (neutron) + 1 (neutron) + 1 (Λ0) = 3
c) This interaction is controlled by the strong interaction, which is one of the four fundamental forces of nature.
What is an interaction ?
a) The interaction between a proton and an antiproton can be written at the quark level as:
uud + uud → udd + udd + uubar + uubar.
where u, d, and ubar denote the up quark, down quark, and anti-up quark, respectively. This interaction does not involve any quark flavor change since the number of each type of quark (up, down, and anti-up) is conserved.
What is baryon?
b) Baryon number (B) is defined as the total number of baryons minus the total number of antibaryons. In this interaction, we start with two baryons (a proton and a neutron) and end with three baryons (two neutrons and a Λ0 particle) and no antibaryons. Therefore, the change in baryon number is:
ΔB = (number of baryons) - (number of antibaryons) = 2 - 0 = 2
Since ΔB is non-zero, we might think that baryon number is not conserved. However, it is important to note that the Λ0 particle is a baryon with a baryon number of +1, which cancels out the baryon number of the two neutrons (-1 each). Therefore, the total baryon number before and after the interaction is the same:
B_before = 1 (proton) + 1 (neutron) = 2
B_after = 1 (neutron) + 1 (neutron) + 1 (Λ0) = 3
Therefore, baryon number is conserved in this interaction.
c) This interaction is controlled by the strong interaction, which is one of the four fundamental forces of nature. The strong interaction is responsible for binding quarks together to form hadrons, such as protons, neutrons, and Λ0 particles. The exchange of gluons, which are the carrier particles of the strong force, between quarks is what allows them to interact and bind together. The fact that this interaction involves the production of multiple hadrons and conservation of baryon number is consistent with it being a strong interaction. Additionally, experiments have shown that the strong force is responsible for binding protons and neutrons together in the nucleus of an atom.
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A car, ma 1225 kg, traveling at 105 km/h, low to a top in 53 m. What i the ize of the force that acted on the car
Answer:9700 N
Explanation: i js know
what is the affect of density of air in the velocity of sound??
Answer: Hello!
The greater the density of a medium, the slower the speed of sound. This observation is analogous to the fact that the frequency of a simple harmonic motion is inversely proportional to m, the mass of the oscillating object. The speed of sound in air is low, because air is easily compressible.
Explanation:
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Differences between Pascal's Law & Law of flotation
Answer:
Pascal's principle states that pressure increases by the same amount throughout an enclosed or confined fluid. Archimedes' principle states that the buoyant force acting on a submerged object is equal to the weight of the volume of fluid displaced by the object.
in these formulas, it is useful to understand which variables are parameters that specify the nature of the wave. the variables e0 and b0 are the of the electric and magnetic fields. choose the best answer to fill in the blank. view available hint(s)for part a in these formulas, it is useful to understand which variables are parameters that specify the nature of the wave. the variables and are the of the electric and magnetic fields.choose the best answer to fill in the blank. maxima amplitudes wavelengths velocities
The wave velocity is found to be v = w/k.
The velocity associated with the disturbance propagating in the given medium is defined as wave velocity; in other words, wave velocity is the distance traveled by waves per unit of time.
The wave velocity is determined by the medium employed.
The wave velocity is often referred to as the phase velocity.
The perturbations in wave motion pass across the medium as a result of the particles' recurrent periodic oscillations. The velocity of the wave will differ from the velocity with which the particles vibrate about their mean positions. The wave velocity will always be constant, while the particle velocity will vary over time.
Given that
E = E₀ sin(kx-wt)j
B = B₀ sin(kx-wt)j
E₀ - Amplitude of electric field
B₀ - Amplitude of magnetic field
and k = 2π/λ
λ = 2π/k
and w = 2πn
where n is the angular frequency
Thus, the velocity of the wave
v= nλ
v = (w/2π) (2π/k)
v = w/k
Thus, the velocity of the wave is v = w/k.
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