Answer:
5/8 times that on the surface of the earth or 2.41 × 10^23 kg
which method is commonly used for improving cattle breeds and why?
Answer: Cross-breeding method is commonly used for improving cattle breeds. Cross-breeding between two good varieties of cattle will produce a new improved variety. Cross breeding is defined as the process or the act of producing offspring particularly through mating two pure bred individuals but come from different breeds, varieties, or even species. Crossbreeding is undertaken to: Utilise the desired attributes of two or more breeds. Produce progeny better suited to target markets while maintaining environmental adaption. Improve productivity quicker in traits which are slow to change within a breed i.e. environmental adaption, fertility and carcass traits.
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When two or more resistors are connected in parallel to a battery, which of these statements is incorrect?
(a) the voltage across each resistor is the same.
(b) the total current flowing from the battery equals the sum of the currents flowing through each resistor.
(c) the equivalent resistance of the combination is less than the resistance of any one of the resistors.
(d) the equivalent resistance is the sum of the resistances.
When two or more resistors are connected in parallel to a battery, the incorrect statement is, (d) the equivalent resistance is the sum of the resistances.
What is meant by resistors connected in parallel?The resistor circuit that allows the current to flow through different branches is called a parallel circuit. In a parallel circuit, two or more branches are connected between the same two points, and the current flows through each branch independently, the total current through the circuit is the sum of the current in each branch.
What is meant by equivalent resistance?When two or more resistors are connected in a circuit, they offer resistance to the current flow. The equivalent resistance is defined as a single resistance that can replace all the resistors such that the same amount of current flows in the circuit.
In a parallel circuit, the voltage across each resistor is the same. The total current flowing from the battery equals the sum of the currents flowing through each resistor. The equivalent resistance of the combination is less than the resistance of any one of the resistors. So, the incorrect statement is, the equivalent resistance is the sum of the resistances.Hence, the correct option is (d) the equivalent resistance is the sum of the resistances.
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The high luminosity of the galactic center region suggests that ____
The high luminosity of the galactic center region suggests that there is a high concentration of stars and other celestial objects emitting light in that area.
This high luminosity can be attributed to the presence of a supermassive black hole, dense star clusters, and active star formation processes, all contributing to the increased brightness observed in the galactic center region.
According to the idea behind active galactic nuclei, heated plasma in an accretion disc that revolves around the black hole is principally responsible for the active galactic nucleus' high luminosity.
An active galactic nucleus (AGN) is a compact area at the Centre of a galaxy that exhibits features that indicate the luminosity is not coming from stars and is substantially brighter than usual over at least some of the electromagnetic spectrum. Is called active galactic nucleus.
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An electron with a charge of -1.6 × 10-19 coulombs experiences a field of 1.4 × 105 newtons/coulomb. What is the magnitude of the electric force on this electron due to this field? A. 1.6 × 10-3 newtons B. 1.4 × 1024 newtons C. 2.2 × 10-14 newtons D. 7.4 × 10-13 newtons E. 4.5 × 1014 newtons
***update, its not D lol
Answer:
Electric force, \(F=2.24\times 10^{-14}\ N\)
Explanation:
It is given that,
Charge on an electron is \(-1.6\times 10^{-19}\ C\)
Electric field, \(E=1.4\times 10^5\ N/m\)
We need to find the magnitude of the electric force on this electron due to this field. The electric force is given by :
\(F=qE\\\\F=1.6\times 10^{-19}\times 1.4\times 10^5\\\\F=2.24\times 10^{-14}\ N\)
So, the electric force is \(2.24\times 10^{-14}\ N\).
Which term refers to how loud or soft a sound is ?
A.Wavelength
B.Pitch
C.Volume
D.Speed
The term refers to how loud or soft a sound will be wavelength. Then the correct option is A.
What is the wave?In physics, math, and related fields, a wave is a dynamic disturbance of one or more variables that spreads. Waves are referred to as periodic when they oscillate repeatedly around an equilibrium value at a specific frequency.
The wave can be represented as,
f(x) = A sin (ωt + ∅)
Where 'A' is the amplitude, 'ω' is the frequency, 't' is the time period, and '∅' is the phase difference.
Depending on the medium that it is moving through, sound has a wide range of speeds. The stiffness of the medium (or compressibility in the case of gases) and its density work together to define the speed of sound in that medium. The speed of sound increases with the rigidity (or lack of compressibility) of the medium.
If the amplitude is high then the voice is loud. Similarly, if the amplitude is low then the voice is soft.
The wave
The phrase describes a sound's wavelength, or how loud or soft it will be. Then, choice A is the best one.
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an object is thrown upward with a speed of 14 m/s on the surface of planet x where the acceleration due to gravity is 3.5 m/s2. what is the speed of the object after 8.0 s?
The velocity of the hammer after 8 sec will be 14 m/s in the downward direction which is represented by the negative symbol.
Calculation=
a=-3.5 m/s^2
so v= u +at
u =14 m/s
so v= 14-8*3.5
=-14 m/s
so its speed will be 14m/s downward
How fast are they?Velocity is the pace and direction of an object's movement, whereas speed is the time rate at which an object is traveling along a path. In other words, velocity is a vector, whereas speed is a scalar value.
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A weight lifter lifts a set of weights a vertical
distance of 3.66 m. If a constant net force of 370 N
is exerted on the weights, how much net work is done on the weights?
1.741.3
2. 1214.01
3.431.52
4. 381.92
5.874.68
6. 1179.02
7. 1354.2
8. 1154.56
9. 1509.12
10. 706.85
Answer in units of J.
Answer:
See below
Explanation:
Work = F * d
= 370 N * 3.66 m = 1354.2 J
Q1: A runner is jogging in a straight line at a steady vr= 6.8 km/hr. When the runner is L= 2.4 km from the finish line, a bird begins flying straight from the runner to the finish line at vb= 13.6 km/hr (2 times as fast as the runner). When the bird reaches the finish line, it turns around and flies directly back to the runner. What cumulative distance does the bird travel? Even though the bird is a dodo, assume that it occupies only one point in space (a “zero” length bird), travels in a straight line, and that it can turn without loss of speed. Answer in units of km. Q2: After this first encounter, the bird then turns around and flies from the runner back to the finish line, turns around again and flies back to the runner. The bird repeats the back and forth trips until the runner reaches the finish line. How far does the bird travel from the beginning (including the distance traveled to the first encounter)? Answer in units of km.
Answer:
Q1: 3.2km
Q2: 4.8K
Explanation:
Q1:
So db is the distance of bird, and dr is the distance of runner
db = 2vr and the distance of bird is going to be 2 times greater than the runner.
formulas: db = 2vr & db = 2dr
db = 2drL + (L - x) = 2x2L - x = 2x2L = 3xx = \(\frac{2}{3}\)LInsert it in x = \(\frac{2}{3}\)L
\(\frac{2}{3}\)(2.4km) = 1.6km
Now we use formula db = 2dr
db = 2L - xdb = 2(2.4km) - 1.6kmdb = 3.2kmQ2:
Formulas: Vr = L /Δt & Vb = db/Δt
Vr = L/ Δt ⇒ Δt = \(\frac{L}{Vr}\)\(\frac{2.4km}{6.8km/hr}\)\(\frac{6}{17}hr\)(Km cancel each other)
Vb = db/Δt ⇒ db = VbΔt13.6km/hr\((\frac{6}{17}hr )\)4.8km(hr cancel each other)
Hope it helps you :)
A delivery truck travels 21 blocks north, 15 blocks east, and 27 blocks south.
Part A
What is its final displacement from the origin (magnitude)? Assume the blocks are equal length. Express your answer as an integer.
Part B
What is its final displacement from the origin (direction)? Express your answer using three significant figures.
Part A
Here, we have to find out the final displacement from the origin. In order to find the displacement, we have to find out the net distance travelled by the delivery truck.
First we will find the total distance covered in the north and south direction:21 blocks north, 27 blocks southSo, the net distance travelled in north-south direction = (21-27) blocks = -6 blocksNow, we will find the total distance covered in the east and west direction: 15 blocks east.
So, the net distance travelled in east-west direction = 15 blocks Net distance travelled = √(6² + 15²) ≈ 16 blocks. So, the final displacement from the origin (magnitude) is 16 blocks.
Part B
To find the final displacement from the origin (direction), we have to find the direction of the displacement. Here, the delivery truck travels 21 blocks north, 15 blocks east, and 27 blocks south.
So, the displacement vector has two components, i.e. one in north-south direction and another in east-west direction. Net displacement in east-west direction = 15 blocksAnd, net displacement in north-south direction = -6 blocks
Therefore, the angle of the displacement vector with the east direction can be found as shown below:θ = tan-1((-6)/15)≈ -22.6°The angle is negative because the vector is in the opposite direction to the east direction. Therefore, the final displacement from the origin (direction) is 23° west of the north direction (approximate to three significant figures).
Magnitude : The simple definition of magnitude is "distance or quantity." In the sense of motion, it depicts the absolute or relative direction or size of an object's movement. It is used to convey something's size or scope. In material science, extent by and large alludes to distance or amount.
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A car accelerates uniformly in a straight line
from rest at the rate of 2.8 m/s^2.
How long does it take the car to travel 69 m?
Answer in units of s.
The car covers a distance d after time t of
d = (2.8 m/s²) t²
Solve for t when d = 69 m:
69 m = (2.8 m/s²) t²
t² = (69 m) / (2.8 m/s²)
t ≈ 4.96 s
Sammy feels an ocean breeze as he plays volleyball at the beach. Why do ocean winds or sea breezes blow toward shore during the day? Question 2 options: Air over the beach heats up, rises and is replaced by ocean air. Earth's rotation causes air to blow toward land. he energy of the ocean storms push air toward shore. Ocean air is less dense, so it rises to replace air over the land.
The heat coming from the sun warms the land more quickly than the sea. As a result of these, the air near the land warm up and rises and the cooler air from the sea moves in to replace the risen air. The correct answer is option A
There will be heat transfer from a region of higher temperature to the region of lower temperature. But in the case of land and sea breeze, the transfer of heat are the result of convectional current in nature. Because the land is a better absorber of heat and also has a lower specific heat capacity compare to sea, during the day, the heat coming from the sun warms the land more quickly than the sea. As a result of these, the air near the land warm up and rises.
The cooler air from the sea moves in to replace the risen air.
Why do ocean winds or sea breezes blow toward shore during the day ? It is because air over the beach heats up, rises and is replaced by ocean air.
Therefore, option A is correct
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During a football workout two linemen are pushing on the coach and the sled. The combined mass of the sled and the coach is 300 kg the coefficient of friction of between the sled and the grass is. 800. The sled accelerates at a rate of. 580 m/s/s. Determine the force applied to the sled by the lineman
A football workout involves two linemen who are pushing on the coach and the sled. The sled and the coach's combined mass is 300 kg, while the coefficient of friction between the sled and the grass is .800. The sled accelerates at a rate of .580 m/s/s. We need to determine the force applied to the sled by the linemen.
The total force acting on the sled is:Force = Mass × AccelerationF = 300 kg × .580 m/s/s = 174 NSince the sled and the grass's coefficient of friction are known, we can determine the force applied to the sled by the linemen using the following equation:
Frictional Force = Coefficient of Friction × Normal Force
The normal force is equal to the weight of the sled and the coach. Thus,Normal Force = Mass × GravityN = 300 kg × 9.81 m/s/s = 2943 NFrictional Force = .800 × 2943 N = 2354.4 NThe force applied to the sled by the linemen is the difference between the total force acting on the sled and the frictional force.
Force Applied by Linemen = Total Force − Frictional ForceF = 174 N − 2354.4 N = −2180.4 NThe linemen are exerting a force of −2180.4 N on the sled in the opposite direction to the sled's movement. This is because the frictional force is greater than the total force acting on the sled.
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NEED HELP ASAP, WILL GIVE BRAINLIEST
Which is an example of convection currents?
marshmallows toasting over a campfire
a pot being heated by an electric burner
feet getting hot when stepping across sand
a radiator emitting warm air and drawing in cool air
Answer:
D-A radiator emitting warm air and drawing in cool air
Explanation:
Which statement is always true about objects which exert gravitational force on each other? (3 points)
They have mass.
They have speed.
They are a very large size.
They exist only in outer space.
Answer:
They have mass is always true.
Answer:
“they have mass” because if they don’t have mass they can’t exert force even if they have speed if they have no mass they can’t do anything or exert force
Explanation:
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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What is the resistance of a circuit contains two 50. 0 resistors connected in series with a 12. 0 v battery
The resistance of a circuit that contains two 50.0 Ω resistors connected in series with a 12.0 V battery is 100 Ω. The resistance of the circuit is equal to the sum of the individual resistors when they are connected in series.
In this case, two 50.0 Ω resistors are connected in series, resulting in a total resistance of 100 Ω. Resistance can be defined as the obstruction that electricity faces when it travels through a conductor. The greater the resistance, the less current is allowed to flow through the circuit. The following equation is used to calculate resistance: R = V / IWhere R is resistance, V is voltage, and I is current.
Resistance can also be calculated using Ohm's Law if we know the values of voltage and current. When resistors are connected in series, the total resistance of the circuit is equal to the sum of the individual resistors. This is expressed by the following equation:RT = R1 + R2 + ... + RNWhere RT is the total resistance of the circuit, and R1, R2, and RN are the individual resistors. In this case, the circuit contains two 50.0 Ω resistors connected in series.
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green light has higher refractive index than orange light for the same material medium.explain
Answer:
The index of refraction varies with frequency or color. Frequency does not change as light travels from one medium to another.
Explanation:
Green light has a higher refractive index than orange light for the same material because orange color has a higher wavelength than green light and if the wavelength of light increases the refractive index decreases.
What is Wavelength?The distance between two identical locations (adjacent crests) in successive cycles is known as the wavelength, and it is used to describe waveform signals that are transmitted over wires or into space. Typically, in wireless systems, this length is specified in meters (m), centimeters (cm), or millimeters (mm). The wavelength is more frequently described in nanometers (nm), which are units of 10-9 m, or angstroms, which are units of 10-10 m, for infrared (IR), visible light (UV), and gamma radiation.
Frequency, which is defined as the number of wave cycles per second, and wavelength have an inverse relationship. The wavelength of a signal decreases with increasing frequency, or we can say that wavelength and refractive index are inversely proportional to each other.
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Application 2 Consider an object (A) which moves in a uniform rectilinear motion in the negative direction of the x-axis. The speed of (A) is 15 m/s, and its initial abscissa is XoA 30 m. 1. a. Determine the time equation of the motion of (A). b. Draw the (V-1) graph of (A). 2. Another particle (B), whose time equation is XB = 101-70 (S.1), is moving on the same axis. We start timing for (A) and (B) simultaneously. a. Determine the instant at which (A) and (B) meet as well as the position at where they meet. b. Determine the distance separating (A) and (B) at t = 8 s. B- Acceleration rectilinear motion : ARM
1. For an object (A) moving uniformly in the negative direction of the x-axis with a speed of 15 m/s and initial abscissa of 30 m, the time equation of its motion is X = 30 - 15*t, and its (V-1) graph is a straight line with a slope of -15 and a y-intercept of 30, and 2. When another particle (B) with a time equation of XB = 101-70 (S.1) moves on the same axis, (A) and (B) meet at time t = 2.13 s and position X = -32.7 m. The distance separating (A) and (B) at t = 8 s is 369 m.
1.a. The time equation of the motion of (A) is given by:
X = XoA + Vt
where X is the position of (A) at time t, XoA is the initial position of (A), V is the velocity of (A) and t is the time elapsed since the start of the motion.
Plugging in the given values, we get:
X = 30 - 15t
b. The (V-1) graph of (A) is a straight line with a slope of -15 (since the velocity is constant and negative) and a y-intercept of 30 (since the initial position is 30). The graph looks like this:( below)
2a. To determine the instant at which (A) and (B) meet, we need to find the time t at which their positions are equal. Equating the time equations of (A) and (B), we get:
30 - 15t = 101 - 70t
Solving for t, we get:
t = 2.13 s
To find the position at which they meet, we can plug this value of t into either of the time equations and get:
X = 101 - 70*2.13 = -32.7 m
So (A) and (B) meet at time t = 2.13 s and position X = -32.7 m.
b. To determine the distance separating (A) and (B) at t = 8 s, we need to find their positions at that time. Using the time equation of (A), we get:
Xa = 30 - 158 = -90 m
Using the time equation of (B), we get:
Xb = 101 - 708 = -459 m
The distance separating (A) and (B) at t = 8 s is:
|Xb - Xa| = |-459 - (-90)| = 369 m.
Hence, Two particles moving on the same axis, where one is uniformly moving with an initial abscissa of 30 m and a speed of 15 m/s, and the other is moving with a time equation of XB = 101-70 (S.1), meet at time t = 2.13 s and position X = -32.7 m, while the distance separating them at t = 8 s is 369 m.
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Suppose Person A runs off the edge of the cliff at 2 m/s and Person B runs off the edge at 1 m/s. Which will hit the ground farther from the base of the cliff?
Answer:
Person A will hit a distance fatherExplanation:
Based on the fact that the velocity of person A is more than that of person B, that is from the question, person A has a velocity of 2m/s and person B has a velocity of 1m/s, this clearly shows that person A has the tendency to hit a distance farther from the cliff than person B.
14. The design for a rotating spacecraft below consists of two rings. The outer ring with a radius of 30 m holds the living quarters and mimics the surface gravity of Earth, approximately 9.80 m/s'. The inner ring is designed to help the astronauts become accustom to the surface gravity of a new planet: 5.35 m/s. Calculate the spacecraft's period of rotation for the outer ring.
Answer:
\(T= 11.0003\)s
Explanation:
From the question we are told that
The outer ring with a radius of 30 m
inner Gravity Approximately 9.80 m/s'
Outer Gravity Approximately 5.35 m/s.
Generally the equation for centripetal force is given mathematically as
Centripetal acceleration enables Rotation therefore?
\(\omega ^2 r =Angular\ acc\)
Considering the outer ring,
\(\omega ^2 r = 9.8\)
\(\omega ^2= \frac{9.8}{30}\)
\(\omega = \sqrt{\frac{9.8}{30}}\)
\(\omega= 0.571 rad/s\)
Therefore solving for Period T
Generally the equation for solving Period T is mathematically given as
\(T= \frac{2\pi}{\omega}\)
\(T= \frac{2\pi}{0.571 rad/s}\)
\(T= 11.0003\)s
Can every vector in r4 be written as a linear combination of the column vectors of the matrix a? do the column vectors of a span r4?
To determine whether every vector in ℝ⁴ (R⁴) can be written as a linear combination of the column vectors of a matrix A, we need to check if the column vectors of A span R⁴.
Let's say matrix A is a 4x4 matrix with column vectors v₁, v₂, v₃, and v₄.
If the column vectors of A span R⁴, it means that any vector in R⁴ can be represented as a linear combination of these column vectors.
In mathematical terms, the condition for the column vectors of A to span R⁴ is that the rank of matrix A is equal to 4. The rank of a matrix is the maximum number of linearly independent column vectors it contains.
So, the answer to your question depends on the rank of matrix A. If the rank of A is 4, then the column vectors of A span R⁴, and yes, every vector in R⁴ can be written as a linear combination of the column vectors of A.
However, if the rank of A is less than 4, it means that the column vectors are not linearly independent, and they do not span R⁴. In this case, not every vector in R⁴ can be written as a linear combination of the column vectors of A.
Keep in mind that the rank of a matrix can be determined by applying row reduction techniques to the matrix and counting the number of non-zero rows in the row-echelon form of A. If the rank is less than 4, you can also identify which specific column vectors are linearly dependent by looking for columns that can be expressed as linear combinations of other columns.
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This is probaly the first and only real question ive asked and will ask but can someone help me plzzz!
Answer:
open the dictionary/glossary. it will give you the definitions of the words there.
Explanation:
Answer:
i think it goes like this
Explanation:
Juan makes an adjustment to an electromagnet that causes:.
When Juan makes an adjustment to an electromagnet, it causes a change in the magnetic field strength or polarity or both.
An electromagnet is a temporary magnet that operates on an electric current. It comprises a wire wound into a coil surrounding a magnetic core, such as an iron nail, which intensifies the magnetic field produced. The strength of the electromagnet's magnetic field depends on the quantity of current running through the coil and the number of loops in the wire.
An electromagnet is used in many applications, including motors, relays, and speakers. An adjustment is an alteration or change made to something to improve or fix it. The adjustment to an electromagnet changes the strength of the magnetic field it produces. The magnet's magnetic field strength may be raised or lowered by increasing or decreasing the electric current running through the coil.
The direction of the magnetic field may also be changed by changing the direction of the current passing through the coil.Therefore, when Juan makes an adjustment to an electromagnet, it causes a change in the magnetic field strength or polarity or both.
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Which city is known as the richest square mile on earth?.
Answer:
Central City is the county seat and the most populous municipality of Gilpin County. The city is a historic mining settlement founded in 1859 during the Pike's Peak Gold Rush and came to be known as the "Richest Square Mile on Earth".
A red wagon with a mass of 7kg is moving with a velocity of 4 m/s straight toward a blue wagon at rest.
\(\huge\underline{\underline{\boxed{\mathbb {SOLUTION:}}}}\)
Apply the Conservation of Linear Momentum:
\(\longrightarrow \sf{m_1 u_1 +1 + m_2 u_2 = m_1v_1 + m_2v_2}\)
\(\longrightarrow \sf{(7 \cdot 4) + (1 \cdot 0) = (7 \cdot 3) + 1v_2}\)
Solving further:
\(\longrightarrow \sf{28+0 = 21+ v_2}\)
\(\longrightarrow \sf{28 = 21+ v_2}\)
\(\longrightarrow \sf{v_2= 28- 21}\)
▪ \(\longrightarrow \sf{v_2= 7 \dfrac{m}{s} }\)
\(\huge\underline{\underline{\boxed{\mathbb {ANSWER:}}}}\)
\( \boxed{\bm{v_2= 7 \dfrac{m}{s}}}\)
(True/False) The normal force is always opposite in direction to weight.
Answer:
True
Explanation:
find the components of the velocity vector in the northerly and westerly directions.
The components of the velocity vector in the northerly and westerly directions are approximately 77.46 km/h and 91.89 km/h respectively.
The problem is to determine the components of the velocity vector in the northerly and westerly directions. Let's say we have the velocity vector V. And, the angle between V and the west is θ.
Then, we can say that the component of V in the westerly direction is given by V_w= V cosθSimilarly, if the angle between V and the north is θ, then the component of V in the northerly direction is given by V_n= V sinθ.
Now, let's see how we can apply these formulas to solve the problem.
We can start by sketching the velocity vector V on the x-y plane, with the tail of the vector at the origin. \((V = 120 km/h, θ = 40°)\) .
Then, we can find the components of V in the northerly and westerly directions as follows: \(V_n= V sinθ= 120 sin40° ≈ 77.46 km/h\) \(V_w= V cosθ= 120 cos40° ≈ 91.89 km/h\).
Thus, the components of the velocity vector in the northerly and westerly directions are approximately 77.46 km/h and 91.89 km/h respectively.
To summarize the steps involved, we first sketched the velocity vector V on the x-y plane. Then, we used the formulas V_w= V cosθ and V_n= V sinθ to find the components of V in the westerly and northerly directions. Finally, we substituted the given values of V and θ to obtain the numerical values of the components.
In conclusion, the velocity vector can be broken down into its components in the northerly and westerly directions using the formulas V_w= V cosθ and V_n= V sinθ. We can then substitute the given values of V and θ to obtain the numerical values of the components.
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A car of mass 942.4 kg accelerates from rest with a constant power output of 140.5 hp. Neglecting air resistance , what is the speed of the car after 4.55 s?
The speed of the car after 4.55 s can be determined using the equation v = at, where v is the velocity of the car, a is the acceleration, and t is the time.
What is acceleration?
Acceleration is the rate of change of an object's velocity over time. It is the rate at which an object's speed or direction of motion changes. It is usually measured in meters per second squared (m/s2). Acceleration can be caused by a variety of forces, such as gravity, friction, or a push or pull.
Acceleration is the rate at which an object's speed or velocity changes over time. It is a vector quantity, meaning it has both a magnitude and a direction. Acceleration is typically measured in meters per second squared (m/s2).
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Look at the distance-time graph below. It shows Angela's journey as she walks to the end of the road and back. The end of the road is 40 m away. After how many seconds did she arrive back where she started?
Answer:
Explanation:
If the distance to the end of the road was 40 m, and she traveled back to where she started, she traveled a total distance of 80 m. It took her 100 seconds to travel the 80 m.
Based on the given distance-time graph, the number of seconds that Angela used to go to the end of the road and arrive back is 100 seconds.
How long did Angela take?The end of the road is 40m and coming back is also 40 m. The total distance is:
= 40 + 40
= 80m
The graph shows that to walk 80 meters, Angela took a 100 seconds because the line on the graph ends at 80 m and 100 seconds.
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Balancing Chemical Equations:
CaCl2 +
H2O
HCl +
CaO