A 0.3 kg brick is dropped from a height of 8 m. It hits the ground and comes to rest. a) What is the speed of the brick just as it hits the ground? b) What is the impulse exerted by the ground to the brick? c) If it takes 0.0013 s from the time the brick first touches the ground until it comes to rest, what is the average force exerted by the ground on the brick?
a) The speed of the brick just as it hits the ground is approximately 11.1 m/s.
b) The impulse exerted by the ground on the brick is also 3.33 kg·m/s.
c) The average force exerted by the ground on the brick is approximately 2562.31 Newtons.
To solve the problem, we can use the principles of kinematics and the laws of motion.
a) To find the speed of the brick just as it hits the ground, we can use the equation:
v = √(2gh)
where v is the velocity, g is the acceleration due to gravity (approximately 9.8 m/s²), and h is the height (8 m in this case).
v = √(2 * 9.8 * 8) ≈ 11.1 m/s
Therefore, the speed of the brick just as it hits the ground is approximately 11.1 m/s.
b) The impulse exerted by the ground on the brick can be calculated using the impulse-momentum principle:
Impulse = Change in momentum
Since the brick comes to rest, its final momentum is zero. The initial momentum can be calculated using the equation:
momentum = mass * velocity
Initial momentum = 0.3 kg * 11.1 m/s = 3.33 kg·m/s
Therefore, the impulse exerted by the ground on the brick is also 3.33 kg·m/s.
c) The average force exerted by the ground on the brick can be calculated using the equation:
Force = Impulse / Time
Force = 3.33 kg·m/s / 0.0013 s ≈ 2562.31 N
Therefore, the average force exerted by the ground on the brick is approximately 2562.31 Newtons.
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02.04 Thermal Energy and Chemical Change lab report
Answer:
You should use the evaporative cooler
Explanation:
Because its not fast but will help you remover around the tracks.
What is the map distance between E and F?
Progeny # of Progeny eFG 298 Efg 302
eFg 99
EFG 91
EFg 92
efG 88
EFG 19
efg 16
a. 14 mn
b. 20 mn c. 21 mn
d. 22 mn
e. 23 mn
What is the map distance between E and G
a. 19 mn
b. 20 mn
c. 21 mn
d. 22 mn
e. 23 mn
What is the map distance between F and G a. 40 mn
b. 41 mn
c. 42 mn
d. 43 mn
e. 44 mn
What is the interference Coefficient? a. 0.58 b. 0.35 c. 0.72 d. 0.41 e. 0,38
To determine the map distances between E and F, E and G, and F and G, we can use the formula:
Map distance = (Number of recombinant progeny / Total number of progeny) * 100
Map distance between E and F:
Number of recombinant progeny (eFG + Efg + eFg + EFG) = 298 + 302 + 99 + 91 = 790
Total number of progeny = Sum of all progeny = 298 + 302 + 99 + 91 + 92 + 88 + 19 + 16 = 1005
Map distance between E and F = (790 / 1005) * 100 = 78.6 mn (rounded to the nearest whole number)
Map distance between E and G:
Number of recombinant progeny (eFG + EFg + EFG + efG) = 298 + 92 + 19 + 88 = 497
Total number of progeny = 1005 (same as before)
Map distance between E and G = (497 / 1005) * 100 = 49.35 mn (rounded to the nearest whole number)
Map distance between F and G:
Number of recombinant progeny (EFG + efG + EFG + efg) = 91 + 88 + 19 + 16 = 214
Total number of progeny = 1005 (same as before)
Map distance between F and G = (214 / 1005) * 100 = 21.29 mn (rounded to the nearest whole number)
Interference Coefficient:
Interference coefficient is not provided in the given data.
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in effecting nuclear changes, it is necessary to accelerate positively charged particles to high speeds in order to
In nuclear changes, positively charged particles such as protons or alpha particles need to be accelerated to high speeds in order to overcome the electrostatic repulsion between the positively charged nucleus and the incoming particle.
This process is achieved using particle accelerators, which can generate high-energy beams of particles through electromagnetic fields. By accelerating these particles to high speeds, they gain kinetic energy, which can be used to overcome the electrostatic repulsion and penetrate the nucleus, inducing nuclear reactions.
The speed at which these particles need to be accelerated depends on the specific nuclear reaction being induced. For example, in nuclear fission reactions, high-speed neutrons are used to initiate the reaction by colliding with the nucleus of a heavy atom such as uranium. In contrast, in nuclear fusion reactions, positively charged particles such as deuterium nuclei need to be accelerated to extremely high speeds and temperatures in order to overcome the electrostatic repulsion and fuse together to form a heavier nucleus.
Overall, accelerating positively charged particles to high speeds is a crucial step in inducing nuclear reactions and is achieved through the use of particle accelerators.
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How much kinetic energy will an electron gain if it accelerates through a potential difference of 23,000 volts in a cathode ray tube?
Answer:
3.68x10-15 J
Explanation:
I hope this is the right answer sorry if im wrong
a researcher is studying the distribution of auxin in roots and stems exposed to sunlight. he notices that more auxin collects in the sides of stems and roots that are not exposed to light. why?
The researcher's observation that more auxin collects in the sides of stems and roots that are not exposed to light is likely due to the phenomenon of phototropism.
In the process of phototropism, light influences the direction and rate of growth of plant cells. In particular, light induces the cells on one side of a stem or root to create less auxin than the cells on the shaded side. Less auxin is produced on the lighted side and more auxin is produced on the shaded side as a result. The hormone auxin is essential for controlling the growth and development of plants. Auxin generally promotes cell growth and elongation at greater concentrations while inhibiting cell elongation at lower concentrations. Since the cells on the lighted side of the stem or root will contain less auxin when there is light.
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A variable is a letter that stands in for a number and unit... True or False?
How much momentum does a stationary 5500 kg mass have?
Answer:0
Explanation:
All stationary objects have no momentum they do not have any motion to have momentum you need mass and motion
PLEASEEE HELP Write a few sentences- addressing this prompt. Is this a true statement? Exlpain Why or why not.
Summer occurs in the Northern Hemisphere at times in the Earth's orbit when the northern axis of Earth is tilted toward the Sun.
Nancy and Hiyang are training for a race. They entered some of their training notes in a chart.
A 3-column table with 5 rows. The first column labeled day has entries Monday, Tuesday, Wednesday, Thursday, Friday. The second column labeled Nancy's distance run has entries 2, 3, 3, 4, 5. The third column labeled Hiyang's distance run has entries 5, 5, 7, 8, 10.
Which information should be added to the chart in order find out who ran a greater distance?
the time spent running each day
the reference point used each day
the units used to measure distance each day
the location used by the runners each day
The data should be put on the graph to determine who covered a longer distance by running each day in the units that will be used to measure distance. Option C is correct.
What is the distance?Distance is a numerical representation of the distance between two objects or locations.
The distance can refer to a physical length or an estimate based on other factors in physics or common use. |AB| is a symbol for the distance between two points A and B.
Distance is measured in the meter, centimeter, miles, nautical mile, feet, etc. The unit of the distance is most important in order to find it.
Hiyang and Nancy are preparing for a race. Some of their training-related notes were entered on a chart.
The data should be put on the graph to determine who covered a longer distance by running each day in the units that will be used to measure distance.
Hence, option C is correct.
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Answer:
C) the units used to measure distance each day
Explanation:
what can you say about the resistance of the light bulb as a function of current
The resistance of a light bulb is not constant and can vary as a function of the current passing through it.
As current passes through a light bulb filament, the filament heats up and its temperature increases. This increase in temperature causes the resistance of the filament to increase as well. The relationship between the resistance of the filament and the current passing through it can be described by Ohm's Law, which states that the resistance is equal to the voltage across the filament divided by the current passing through it:
R = V / I
Since the voltage across the filament is typically constant in a given circuit, an increase in current will result in an increase in the resistance of the filament. This increase in resistance will cause the filament to dissipate more energy in the form of heat, which will cause it to glow brighter.
However, if the current passing through the filament becomes too high, the temperature of the filament can exceed its melting point and cause the filament to break or burn out. Therefore, the resistance of a light bulb is not a simple linear function of current, but rather a more complex relationship that depends on the specific properties of the filament and the circuit in which it is used.
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an object have an acceleration of 8m/s/s. if the net force acting upon the object is decreased by a factor of 2 and the mass is increased by a factor of 4, then the new acceleration would be?
Hence, the acceleration will be 16 m/s²
According to Newton's second law of motion, acceleration of an object is directly proportional to the net force acting on it keeping the mass of the object constant.
Mathematically,
F ∝ a
It means that when there is no net force acting on the body, there is no acceleration. A force is a push or a pull, and the net force ΣF is the total force, or sum of the forces exerted on an object in all directions. When the net force is increased or decreased by a factor of X, then acceleration also increased or decreased by a factor of X respectively according to Newton's 2nd law of motion.
F = ma
(-2)F = 4x8 N
(-2)F = 32 N
So, acceleration = 16 m/s²
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Which would exert the most gravity on a spacecraft that is passing close to Jupiter?
A Earth
B Saturn
C Sun
D Jupiter
Jupiter would exert the most gravity on a spacecraft that is passing close to Jupiter. Hence option D is correct.
What is Jupiter ?The biggest planet in the Solar System, Jupiter, is the fifth planet from the Sun. It is a gas giant with a mass that is slightly less than one thousandth that of the Sun and more than two and a half times that of all the other planets in the Solar System put together. After the Moon and Venus, Jupiter is the third brightest natural object in the Earth's night sky, and people have been seeing it since ancient times. Jupiter, the main deity of ancient Roman religion, inspired its name.
Helium makes up a quarter of Jupiter's mass and a tenth of its volume, whereas hydrogen makes up 90% of the planet's volume. Jupiter's interior is constantly contracting, which produces more heat
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if+a+planet+has+a+radius+20%+greater+than+that+of+the+earth+but+has+the+same+mass+as+the+earth,+what+is+the+acceleration+due+to+gravity+at+its+surface?
The acceleration due to gravity on a planet with a radius 20% greater than that of the Earth and the same mass as the Earth is 8.89 m/s².
The acceleration due to gravity on a planet is given by the following formula:
g = GM/R²
where:
g is the acceleration due to gravity (in m/s²)
G is the gravitational constant (6.674 × 10^-11 m³/kg s²)
M is the mass of the planet (in kg)
R is the radius of the planet (in meters)
In this case, the mass of the planet is the same as that of the Earth, but the radius is 20% greater. This means that the acceleration due to gravity on the planet will be 1.2 times greater than the acceleration due to gravity on Earth.
The acceleration due to gravity on Earth is 9.80 m/s². Therefore, the acceleration due to gravity on the planet with a radius 20% greater than that of the Earth and the same mass as the Earth is 8.89 m/s².
g = GM/R² = 6.674 × 10^-11 m³/kg s² * 5.972 × 10^24 kg / (1.2 * 6,371,000 m)² = 8.89 m/s²
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A dog starts at the origin and runs forward at 6m/s for 1.5s and then turns around to fetch the ball by running backward at 7m/s for 3s. If the dog runs back to the origin at 4m/s the how much time has elapsed between the start and when he returns with the ball
Answer:
Total time elapsed between the start and when he returns with the ball is 7.5s
Explanation:
From the question,
- The dog starts at the origin and runs forward at 6m/s for 1.5s. First, we will determine the distance covered while running forward.
From
Speed = Distance / Time
Distance = Speed × Time
Speed = 6m/s
Time = 1.5s
∴ Distance = 6m/s × 1.5s
Distance = 9m
That is, the dog covered a distance of 9m while running forward.
- The dog turns around and runs backward at 7m/s for 3s. Now, we will also determine the distance the dog covered backwards.
Distance = Speed × Time
Speed = 7m/s
Time = 3s
Distance = 7m/s × 3s
Distance = 21m
The dog's displacement from the origin is 21m - 9m = 12m
Now, to calculate how much time has elapsed between the start if the dog runs back to the origin at 4m/s, we will first determine the time the dog spent back to the origin and then add to the time spent for the first two distances.
To get back to the origin, the dog needs to cover 12m
From
Speed = Distance / Time
Time = Distance / Speed
Distance = 12m
Speed = 4m/s
∴ Time = (12m) / (4m/s)
Time = 3s
Therefore, the dog spent 3s to run back to the origin.
Hence, total time elapsed = 1.5s + 3s + 3s
Total time elapsed = 7.5s
what property of a mineral indicates that it has cleavage?
Cleavage is the tendency of a mineral to break along smooth flat surfaces when struck. It is a property that reflects the crystal structure and is an indication of the mineral's internal atomic arrangement. A mineral with cleavage will break along specific planes, often yielding flat and smooth surfaces.
What type of minerals typically exhibit cleavage?Cleavage is a property of minerals that refers to the way they split or break along certain planes. Minerals that exhibit cleavage have a tendency to break along specific, smooth and flat surfaces. This property is caused by the internal arrangement of atoms in the mineral's crystal structure. Minerals that typically exhibit cleavage include micas, halite, calcite, fluorite, quartz, and feldspar. Minerals that exhibit good cleavage can be easily separated into thin sheets or plates, making them useful for a variety of industrial and commercial applications.
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Cleavage is a property of a mineral that indicates its tendency to break along certain flat surfaces, rather than in a random pattern.
What do you mean by Cleavage?Bond cleavage, also known as bond fission, is the splitting of chemical bonds in chemistry. When a molecule is split into two or more pieces, this is commonly referred to as dissociation. According to how the bond is broken, there are generally two types of bond cleavage: homolytic and heterolytic.
In chemistry, cleavage essentially refers to the bond breaking. There are two types of cleavage: (1) An equal distribution of electrons between the two atoms causes a link between them to cleave. (2) In this form of connection, the most electronegative atom receives the bond's electron.
The presence of cleavage is an indicator of the arrangement of atoms in the crystal structure of the mineral, and the direction of the cleavage surfaces is determined by the crystal lattice. The term "cleavage" is often used interchangeably with the term "fracture," although fracture refers to any type of break in the mineral, regardless of whether it follows a specific pattern or not.
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9. A bicyclist is moving down a hill. Her position on the hill gives her 720 J of potential energy, and her
movement gives her 680 J of kinetic energy. What is her total mechanical energy?
A. 260 J
B. 1400 J
C. 2648 J
D. 2.86×105 J
The total mechanical energy of the bicyclist is 1400 J, obtained by adding her potential energy of 720 J and kinetic energy of 680 J. The correct answer is option B.
The total mechanical energy of a moving object is the sum of its kinetic energy and potential energy. Kinetic energy is defined as the energy an object has due to its motion, whereas potential energy is the energy an object has due to its position or configuration.Therefore, the total mechanical energy of the bicyclist is calculated by adding her kinetic energy and potential energy. According to the question, the bicyclist has 720 J of potential energy and 680 J of kinetic energy.Total mechanical energy = Potential energy + Kinetic energy = 720 J + 680 J = 1400 JTherefore, the total mechanical energy of the bicyclist is 1400 J. Therefore, the correct answer is option B.For more questions on mechanical energy
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The speed of light in cubic zirconia
is 1.39*10^8 m/s. What is the
index of refraction for cubic
zirconia?
The index of refraction for the cubic zirconia at the given speed of light is 2.16.
The given parameters:
Speed of light in Cubic zirconia, v = 1.39 x 10⁸ m/sSpeed of light in air, c = 3.0 x 10⁸ m/s.The index of refraction for the cubic zirconia is the ratio of the speed of light in air to speed of light in cubic zirconia and it is calculated as follows;
\(\eta = \frac{c}{v} \\\\\eta = \frac{3\times 10^8}{1.39 \times 10^8} \\\\\eta = 2.16\)
Thus, the index of refraction for the cubic zirconia at the given speed of light is 2.16.
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A funnel is dipped into a liquid soap solution. State and explain what happens to the soap bubble when the funnel is removed
Answer: When a funnel is dipped into a liquid soap solution, soap molecules from the solution stick to the surface of the funnel and form a thin film. As the film becomes thinner, it reaches a point where it can no longer support its own weight, and gravity causes it to detach from the funnel and form a soap bubble.
When the funnel is removed, the soap bubble remains intact due to the surface tension of the soap film. Soap molecules have hydrophilic (water-attracting) and hydrophobic (water-repelling) ends, which enable them to form a stable film at the surface of the liquid. The surface tension of the soap film creates a force that tries to minimize the surface area of the bubble, which is why soap bubbles tend to form spherical shapes.
However, the soap bubble is not stable and will eventually burst due to a number of factors, such as evaporation of the liquid, changes in temperature or humidity, or contact with other objects. When the soap bubble bursts, the soap film breaks apart and the soap molecules mix with the surrounding air or liquid.
Explanation:
When a funnel is dipped into a soap solution and removed, a soap bubble forms due to the surface tension of the soap solution. As air is blown into it, the bubble expands until it pops when the soap film can't withstand the pressure difference anymore.
Explanation:When a funnel is dipped into a liquid soap solution and then removed, a soap bubble forms at the end of the funnel. This phenomenon occurs due to a property of liquids known as surface tension. Surface tension is the force that causes the liquid surface to contract, thus forming a shape with the minimum possible area, a sphere.
After the funnel is dipped into the soap solution, a thin film of soap solution forms inside it. When the horn is removed and the air is blown from the other end, the air trapped inside the thin soap film expands to include a bubble.
Eventually, gravity causes the liquid soap to flow downwards, thinning the top of the bubble, and the bubble will pop when the film is too thin to sustain the pressure difference between the inside and outside. So, stating and explaining what happens to the bubble when the funnel is removed can also take into consideration the effect of gravity in this process.
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according to the formula for nzl, how is frequency related to nzl?
Frequency and nzl (number of zero crossings per unit length) are inversely proportional to each other according to the formula nzl = vf, where v is the velocity of the wave and f is the frequency.
The formula for nzl (refractive index minus one) is,
nzl = (c/vl) - 1
where c is the speed of light in a vacuum, and vl is the speed of light in the medium.
Frequency is not directly related to nzl in this formula. However, the refractive index (n) of a medium can depend on frequency. This is known as dispersion, and it means that different frequencies of light may experience different refractive indices and therefore different nzl values in a given medium. In other words, the nzl value can vary depending on the frequency of the light passing through the medium.
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What is the specific heat capacity of a material if 2000 J of heat energy can raise the temperature of 10 g of it by 140°C?
Answer:
Specific heat capacity, = 1.43 J/g°C
Explanation:
Given the following data;
Mass = 10 g
Change in temperature = 140°C
Quantity of heat = 2000 J
To find the specific heat capacity;
Heat capacity is given by the formula;
\( Q = mcdt\)
Where;
Q represents the heat capacity or quantity of heat. m represents the mass of an object. c represents the specific heat capacity of water. dt represents the change in temperature.Making c the subject of formula, we have;
\( c = \frac {Q}{mdt} \)
Substituting into the equation, we have;
\( c = \frac {2000}{10*140} \)
\( c = \frac {2000}{1400} \)
Specific heat capacity, = 1.43 J/g°C
Examine the Porter's 5 forces and explain how the forces are interconnected? Use examples to explain your answers. No less than 100 words
Porter's Five Forces is a framework used to analyze the competitive intensity and attractiveness of an industry. The five forces are: Threat of New Entrants, Bargaining Power of Suppliers, Bargaining Power of Buyers, Threat of Substitute Products or Services and Intensity of Competitive Rivalry.
Threat of New Entrants: This force considers the ease or difficulty for new competitors to enter an industry. It includes barriers to entry such as high capital requirements, economies of scale, brand loyalty, and government regulations.
Example: The airline industry is known for its high barriers to entry due to the significant capital required to purchase aircraft, establish routes, and secure necessary licenses and permits. Additionally, established airlines often have loyal customer bases and strong brand recognition, making it challenging for new entrants to compete effectively.
Bargaining Power of Suppliers: This force assesses the power suppliers have over the industry in terms of pricing, quality, and availability of inputs. It considers factors such as the concentration of suppliers, uniqueness of their products, and their ability to forward integrate.
Example: In the smartphone industry, major suppliers of components like microchips and display screens hold significant bargaining power. These suppliers provide essential inputs, and their products may have limited alternatives or require specialized manufacturing processes. As a result, smartphone manufacturers must negotiate favorable terms with these suppliers to ensure a reliable supply chain and competitive pricing.
Bargaining Power of Buyers: This force examines the power customers have in influencing prices, demanding better quality or service, and potentially switching to alternative products or suppliers. It considers factors such as buyer concentration, product differentiation, and switching costs.
Example: The retail industry experiences strong buyer power, particularly in highly competitive markets. Customers have access to various options, and their ability to compare prices and products easily through online platforms empowers them to demand competitive pricing, promotions, and high-quality products and services.
Threat of Substitute Products or Services: This force looks at the availability of alternative products or services that can satisfy customer needs. It considers factors such as price-performance trade-offs, switching costs, and customer loyalty.
Example: The rise of streaming services such as Netflix, Amazon Prime Video, and Hulu posed a significant threat to traditional cable and satellite TV providers. These streaming platforms offer a wide range of content at competitive prices, allowing customers to switch from traditional TV services to streaming options, resulting in a decline in subscriber numbers for traditional providers.
Intensity of Competitive Rivalry: This force evaluates the level of competition among existing firms in the industry. It considers factors such as the number and size of competitors, industry growth rate, product differentiation, and exit barriers.
Example: The soft drink industry, dominated by major players like Coca-Cola and PepsiCo, experiences intense competitive rivalry. These companies fiercely compete for market share through advertising campaigns, new product launches, pricing strategies, and distribution channels. The rivalry is further intensified by the high market saturation and the limited scope for differentiation among similar products.
The interconnection of these forces lies in their collective influence on the competitive dynamics and profitability of an industry. Changes in one force can trigger a chain reaction that impacts the others. For instance, a high threat of new entrants may lead to increased competitive rivalry as existing firms strive to defend their market share. Similarly, a strong bargaining power of buyers can limit the pricing power of suppliers and impact their profitability. Understanding these interconnections helps businesses assess the overall attractiveness and competitive landscape of an industry and develop appropriate strategies to thrive within it.
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When the sun and moon work together ____________ are formed on Earth.
a
Frankentides
b
Neap Tides
c
Spring Tides
d
Dark Tides
Answer:
C. Spring Tides is the answer.
A skateboarder rolls off a horizontal ledge that is 1.32m high and lands 1.88m from the base of the ledge. What was the initial velocity? (Unit=m/s)
Answer:
Velocity = 3.622 m/s
Explanation:
Given:
Starting height = 1.32 m
Distance = 1.88 m
Find:
Velocity
Computation:
Using 2nd equation of motion.
s = ut + [1/2]gt² , where g = 9.8 m/s² and u = 0
1.32 = [1/2][9.8]t²
Time (t) = 0.519 sec
We know that
Velocity = Distance / Time
Velocity = 1.88 / 0.519
Velocity = 3.622 m/s
A physics student is adjusting the settings of their projectile launcher. If the Vx =
28 m/s and the Vy = 15 m/s, what is the magnitude of its velocity?
32 m/s
13 m/s
43 m/s
1009 m/s
Answer:
32m/s
Explanation:
obtained from V=vx square roo+ vy square root but all terms are squared.
under what circumstances is the car’s velocity component at a particular time the same as its magnitude? does this have anything to do with the direction the car moves?
The velocity of a car is a vector quantity, meaning it has both magnitude and direction. The magnitude of velocity is the speed of the car, while the direction of velocity is the direction in which the car is moving.
If the car is moving in a straight line, then its velocity component in a particular direction can be equal to its magnitude if the car is moving directly towards or away from the observer. In other words, if the direction of motion and the direction in which the velocity is being measured are the same, then the velocity component and the magnitude of velocity will be equal.
For example, if a car is moving due north and its velocity is being measured in the north direction, then the velocity component in the north direction will be equal to the magnitude of the velocity. However, if the car is moving due north and the velocity is being measured in the east direction, then the velocity component and the magnitude will be different.
In general, the direction of the car's motion does affect the relationship between the velocity component and the magnitude. The velocity component in a particular direction will be equal to the magnitude only when the car is moving directly towards or away from the observer in that direction. If the car is moving at an angle to the observer, then the velocity component and the magnitude will be different.
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An automobile of mass 1500 kg is moving at 15 m/s. What
average net forward force is required to accelerate the
automobile to 25 m/s over a distance of 100 m?
Please I beg you help me
Answer:
Explanation:
m = 1500 kg
u = 15 m/s
v = 25 m/s
s = 100 m
\(v^{2} = u^{2} + 2as\)
\(25^{2} = 15^{2} + 2a\) × 100
625 = 225 + 200 a
-200a = 225 - 625
-200a = -400
a = 400 / 200
a = 2 m/s
f = ma
f = 1500 × 2
= 3000 N
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A Ford Shleby GT 500 has a horsepower of 760 hp. What is that is Watts? DO NOT include units - just the numeric answer. I QUESTION 15 An object of mass 100 kg is moved with an acceleration of 10 m/2, and goes fron an initial position of 10 m to a final position of 30 m. What work was done on the object? DO NOT include units - just the numeric answer.
the work done on the object is 20000 J.
The conversion factor from horsepower to watts is 1 hp = 746 watts.
Therefore, the Ford Shelby GT 500's horsepower of 760 hp can be converted to watts as follows:
760 hp × 746 watts/hp = 567760 watts
To convert horsepower to watts, you simply need to multiply the number of horsepower by the conversion factor of 746 watts/hp.So, the numeric answer for 760 hp in watts is 567760.
According to the work-energy principle, the work done on an object is equal to the change in kinetic energy. Mathematically, the work-energy principle can be represented as follows:
W = ΔKHere, W represents the work done on the object, and ΔK represents the change in kinetic energy of the object.
The change in kinetic energy can be calculated using the following formula:
ΔK = (1/2)mvf² - (1/2)mvi²
Here, m represents the mass of the object, vi represents the initial velocity of the object, and vf represents the final velocity of the object. In this case, the object is initially at rest (vi = 0), so the formula can be simplified to
:ΔK = (1/2)mvf²
Now, we can use the following kinematic equation to calculate the final velocity of the object:
vf² = vi² + 2ax
Here, a represents the acceleration of the object, x represents the displacement of the object, and vi represents the initial velocity of the object. Plugging in the given values, we get:
vf² = 0 + 2(10 m/s²)(30 m - 10 m)vf² = 400 m²/s²vf = 20 m/s
Now, we can plug in the values of m and vf to calculate the change in kinetic energy:
ΔK = (1/2)(100 kg)(20 m/s)²ΔK = 20000 JSo, the numeric answer for the work done on the object is 20000 J.
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During a typical afternoon thunderstorm of the summer and the area of 96 km² receives 1.09×10^9 gal of rain in 18 min. How many inches of rain fell during the 18 minute period?
I thought I'd give a quick review of the most extreme short-term rainfalls in the United States' history as a follow-up to my last blog. During the storm and flood on May 31, Wiley Post Airport in Oklahoma City picked up 3.10" in an hour and 2.00" in 35 minutes.
What is the Most Rain to Ever Fall in One Minute or One Hour?It is difficult to comprehend how one might make an accurate measurement of precipitation over a 60-second timeframe. But the Unionville, Maryland report of 1.23" in one minute on July 4, 1956 was found to be true after the U.S. Weather Bureau conducted numerous in-depth analyses of the claim (see for the Monthly Weather Review summary). a rainfall gauge that records: To perform the measurement, a Friez Universal Type with a 12-inch capacity, a dual traverse pen, and a 24-hour clock gear on a chart drum was employed. It measured a storm total of 3.60" between 2:50 p.m. and 11:30 p.m., with 2.84" of that total falling in a 50-minute span between 2:50 and 3:40 p.m. The exposure was good, and the storm total was 3.60" overall. It was between 3:22 and 3:23 p.m. when the apparent 1.23" total was taken. To establish the gauge's accuracy and calibration, a variety of tests were performed on it. All of the tests that were run on the gauge found it to be reliable. The record's certification included consideration of anecdotal data as well. Residents were obliged to switch on lights even though it was mid-afternoon due to the extreme flash flooding and erosion that were observed in the immediate vicinity. Water reportedly flowed off roofs "like Niagara Falls" due to overflowing roof gutters.To Learn more About short-term rainfalls refer To:
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Find the volume of the following shape.
7 km
5 km
1.9 km
3 km
3 km
Round to the nearest hundredth.
The volume of the triangular shape is 10.35 km³.
In geometry, volume is the amount of space enclosed by a three-dimensional object. It is measured in cubic units, such as cubic meters or cubic centimeters. The volume of a regular object can be calculated using a formula, while the volume of an irregular object can be calculated by dividing it into smaller regular objects and adding up their volumes.
For example, the volume of a cube with a side length of 1 meter is 1 cubic meter. The volume of a sphere with a radius of 1 meter is 4/3π cubic meters. The volume of a cylinder with a radius of 1 meter and height of 2 meters is 2π cubic meters.
The formula gives the volume of a triangular shape:
V = 1/2 * b * h * t
where:
b is the base of the triangle
h is the height of the triangle
t is the thickness of the triangle
In this case, we have:
b = 7 km
h = 1.9 km
t = 3 km
So now, the volume of the triangular shape is:
V = 1/2 * 7 km * 1.9 km * 3 km = 10.35 km³
Therefore, the volume of the triangular shale is 10.35 km³.
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