The correct matches for the given words are:
1. grand unified theory - predicts the strong, weak, and electromagnetic forces
2.electroweak force
3. Inflation
4. Olbers' paradox
5. cosmic microwave background
6. annihilation
What is electromagnetic force ?Physical interactions between electrically charged particles are known as the electromagnetic force. It is the result of the interaction of all magnetic and electrical forces and operates between charged particles.
Both visible light and radiation in other wavebands that the human eye cannot see are produced by the electromagnetic field.
A faint glow of light known as the Cosmic Microwave Background radiation, or CMB for short, permeates the entire cosmos and falls on Earth with a remarkably consistent intensity from all directions.
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Which is an SI base unit that makes up part of the unit of energy?
candela
ampere
kelvin
kilogram
The kilogram is an SI base unit that makes up part of the unit of energy, therefore the correct answer is option D
What is a unit of measurement?A unit of measurement is a specified magnitude of a quantity that is established and used as a standard for measuring other quantities of the same kind. It is determined by convention or regulation.
The base SI units are meter, kilogram, second, kelvin, ampere, candela, and mole
The unit of energy is Joules which is equivalent in mks unit as Kg m²s⁻²
Thus, The kilogram is an SI base unit that makes up part of the unit of energy, therefore the correct answer is option D
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What was the big bang?
The big bang is how astronomers explain the way the universe began. It is the idea that the universe began as just a single point, then expanded and stretched to grow as large as it is right now—and it is still stretching!
What's This Big Bang All About?
In 1927, an astronomer named Georges Lemaître had a big idea. He said that a very long time ago, the universe started as just a single point. He said the universe stretched and expanded to get as big as it is now, and that it could keep on stretching.
What an Idea!
The universe is a very big place, and it’s been around for a very long time. Thinking about how it all started is hard to imagine.
Some More Information
Just two years later, an astronomer named Edwin Hubble noticed that other galaxies were moving away from us. And that’s not all. The farthest galaxies were moving faster than the ones close to us.
This meant that the universe was still expanding, just like Lemaître thought. If things were moving apart, it meant that long ago, everything had been close together.
Everything we can see in our universe today—stars, planets, comets, asteroids—they weren't there at the beginning. Where did they come from?
A Tiny, Hot Beginning
When the universe began, it was just hot, tiny particles mixed with light and energy. It was nothing like what we see now. As everything expanded and took up more space, it cooled down.
The tiny particles grouped together. They formed atoms. Then those atoms grouped together. Over lots of time, atoms came together to form stars and galaxies.
The first stars created bigger atoms and groups of atoms. That led to more stars being born. At the same time, galaxies were crashing and grouping together. As new stars were being born and dying, then things like asteroids, comets, planets, and black holes formed!
Which law of thermodynamics does each of the following scenarios violate (if any)?
A machine that can turn 1000J of heat directly into 1000J of electricity
1.
The first law of thermodynamics
2.
The second law of thermodynamics
3.
The third law of thermodynamics
4.
It is allowed
Answer: The scenario violates the second law of thermodynamics.
Explanation: The second law states that heat cannot be converted into work without some loss of usable energy, and that the amount of usable energy in a closed system will always decrease over time. Therefore, the machine described in the scenario cannot exist because it would violate the second law by converting all of the heat into electricity without any loss of usable energy.
Read this excerpt from Beowulf by an anonymous Anglo-Saxon poet.
Hrothgar, king of the Danes, or Scyldings, builds a great mead-hall, or palace, in which he hopes to feast his liegemen and to give them presents.
Which word best provides a context clue to the meaning of mead-hall?
palace
liegemen
feast
king
Answer:
it is a i
Explanation:
i took the quiz on edge 2020
Palace word best provides a context clue to the meaning of mead-hall. So, the correct option is A.
What is the Palace?The royal residence, as well as occasionally a place of government or worship, is referred to as a palace. The Pontifical Hill in Rome, where the Ancient romans built their palaces, is whence the word was from.
A palace should be distinguished from a fortress, which was formerly any fortified residence, as a construction. A palace is a location with a regal and imposing structure that serves as a stately home such as a president, ruler, or leader's official residence.
Many old palaces have been turned into museums that depict what life was like for the king and aristocracy at the time they were erected. The context information provided by Palace term in the aforementioned example sheds light on the definition of mead-hall.
Therefore, the correct option is A.
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I don’t understand what it’s asking me to do
Because the mass and displacement are already given in Kg and m, respectively, in the first part of your question, there is no need to convert them. However, in the second part of your question, you must use the given equation to calculate the spring constant.
if the table data is given in grams and cm you have to convert it using the following conversion,
1. To convert grams to kilograms, we divide the mass values by 1000.
2. To convert centimeters to meters, we divide the displacement values by 100.
But here in the given table it's already given the mass in kg and the displacement in meters (m). so no need to convert it.
Now comes the second part of your question,
To calculate the spring constants for the given data, we can use the equation:
k = -mg/Δx
where:
k is the spring constant (in N/m),
m is the mass (in kg), and
Δx is the displacement of the spring (in m).
Let's calculate the spring constants using the provided data:
Mass (kg): 0.05 0.1 0.2 0.3 0.4 0.5 0.6
Displacement of Spring (m): 0.012 0.027 0.065 0.1 0.135 0.17 0.199
Using the equation
k = -mg/Δx,
we can calculate the spring constant for each data point:
For the first data point (m = 0.05 kg, Δx = 0.012 m):
k = -0.05 kg * 9.8 m/s² / 0.012 m
k ≈ -40.833 N/m
Similarly, we can calculate the spring constants for the other data points:
For the mass of 0.05 kg, the spring constant is approximately -40.833 N/m.
For the mass of 0.1 kg, the spring constant is approximately -18.519 N/m.
For the mass of 0.2 kg, the spring constant is approximately -6.154 N/m.
For the mass of 0.3 kg, the spring constant is approximately -3.267 N/m.
For the mass of 0.4 kg, the spring constant is approximately -2.222 N/m.
For the mass of 0.5 kg, the spring constant is approximately -1.716 N/m.
For the mass of 0.6 kg, the spring constant is approximately -1.449 N/m.
Therefore, In the first part of the question, there is no need to convert the mass into kg and the displacement cm into m because it is already given in kg and m respectively, and in the second part question you have to calculate the spring constant using the given equation.
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Which of the following has kinetic energy? (1 point)
Ans:
C
Explanation:
because it is moving down the stairs
A spring travelling down a flight of stairs has kinetic energy.
What is Kinetic energy?
Since it is moving, it would be a spring moving down a set of steps. A stretched spring, a compressed spring, and a spring at the top of a set of steps are all in motion.
Kinetic energy is a type of power that a moving object or particle possesses.
An item accumulates kinetic energy when work, which involves the transfer of energy, is done on it by exerting a net force. A moving object or particle has kinetic energy, which depends on both its mass and its rate of motion.
Therefore, A spring travelling down a flight of stairs has kinetic energy.
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A rock is at the top of a 20 meter tall hill. The rock has a mass of 10 kg. How much potential energy does it have?
Answer:
1960 JExplanation:
The potential energy of a body can be found by using the formula
PE = mgh
where
m is the mass
h is the height
g is the acceleration due to gravity which is 9.8 m/s²
PE = 10 × 9.8 × 20
We have the final answer as
1960 JHope this helps you
A rifle is fired straight up, and the bullet leaves the rifle with an initial velocity
magnitude of 630 m/s. After 5.00 s, the velocity is 581 m/s. At what rate is the bullet
decelerated?
Explanation:
acceleration definition = change in velocity / change in time =
(630 - 581) m/s / 5 s = 49 / 5 = 9.8 m/s^2 was the deceleration
At what latitude are there almost no differences between the seasons? Explain
why this occurs?
Answer:
The four-season year is typical only in the mid-latitudes. The mid-latitudes are places that are neither near the poles nor near the Equator. The farther north you go, the bigger the differences in the seasons.
Explanation:
hope this helps have a good day :) ❤
At a latitude equal to zero degrees there is little seasonal variation. This phenomenon is due each day the Sun's rays strike the Earth's surface at approximately the same angle near the Equator.
The Equator is the line of 0° (zero degrees) latitude around the middle of the Earth.
Moroever, the intensity of solar radiation and therefore also the temperature at the Earth's surface largely depends on the angle of incidence of the Sun's rays.
At 0° latitude, there is a very little seasonal variation because all days the Sun's rays strike the Earth's surface at approximately the same angle. At the Equator, the Sun's rays strike the Earth's surface at an angle of 90°, causing warmer temperatures compared to higher latitudes.
In additon, at 0° latitude, all days also have the same number of hours of light and dark (i.e., approximately 12 hours of sunlight).
In conclusion, at a latitude equal to zero degrees (i.e., at the Equator) there is little seasonal variation. This phenomenon is due each day the Sun's rays strike the Earth's surface at approximately the same angle near the Equator.
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The figure below shows a ball resting on a frictionless track at position A.
The ball has a mass of 20 kg and is released from position A, the acceleration due to gravity is 9.8 m/s. How much kinetic energy will the ball have at position B?
To find the kinetic energy at position B, we need to know the height or the velocity at position B. Without this information, we cannot calculate the exact value of the kinetic energy.
To determine the kinetic energy of the ball at position B, we need to consider the m conservation of Mechanical energy. Since the ball is released from position A, we can assume that there is no initial kinetic energy (velocity is zero), and the total mechanical energy at position A is equal to the potential energy.
The potential energy at position A can be calculated using the formula:
Potential energy at A = mass * gravitational acceleration * height
Potential energy at A = 20 kg * 9.8 m/s² * height
Now, at position B, all the potential energy is converted into kinetic energy. The kinetic energy at position B is given by the formula:
Kinetic energy at B = 1/2 * mass * velocity²
Since the ball is released from rest, the velocity at position B can be determined using the conservation of mechanical energy:
Potential energy at A = Kinetic energy at B
20 kg * 9.8 m/s² * height = 1/2 * 20 kg * velocity²
Simplifying the equation, we get:
9.8 m/s² * height = 1/2 * velocity²
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what is the pressure of a tank of uniform cross sectional area 4.0m2 when the tank is filled with water a depth of 6m when given that 1 atm=1.013 x 10^5pa density of water=1000kgm-3 g=9.8m/s2
The pressure of the tank, when filled with water at a depth of 6 m, is approximately 580.124 atmospheres (atm). To calculate the pressure of the tank, one can use the equation: Pressure (P) = Density (ρ) × g × Depth (h)
Pressure (P) = Density (ρ) × g × Depth (h)
Given: Density of water (ρ) = 1000 kg/m³
Acceleration due to gravity (g) = 9.8 m/s²
Depth (h) = 6 m
Using the given values, one can calculate the pressure:
Pressure = 1000 kg/m³ × 9.8 m/s² × 6 m Pressure
= 58800 kg·m⁻¹·s⁻²
Now, let's convert the units to pascals (Pa) using the conversion 1 atm = 1.013 x \(10^5\) Pa:
Pressure = 58800 kg·m⁻¹·s⁻² × (1 atm / 1.013 x\(10^5\) Pa)
Pressure = 580.124 atm
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the pressure at the bottom of a drum in which a liquid is filled up to the height of 2 m is 9000800 PF find the density of liquid field in that drum
The density of the liquid in the drum is 459.184 kg/m³.
To find the density of a liquid, we must know its pressure, the depth to which it is filled, and the gravitational acceleration acting on it. Using the equation for pressure at a depth h below the surface of a liquid in a container of height H, P = ρgh, where P is the pressure, ρ is the density, g is the gravitational acceleration, h is the height of the liquid, and H is the height of the container.Let's substitute the given values in the above formula:P = 9000800 Pa; h = 2m; g = 9.8m/s²Therefore, ρ = P/gh = 9000800/(9.8 × 2) ≈ 459184.
This means that the density of the liquid in the drum is 459.184 kg/m³ (kilograms per cubic meter).
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If a planet has an eccentricity of 0.92 and a distance of the major axis is 5,000,000 km, then what is the distance between foci?(1 point)
Responses
A 4,600,000 km
B 0.00000018 km
C 460,000,000 km
D 5,000,000 km
The distance between foci is 460,000,000 km and is denoted as option C.
This is referred to as the mathematical constant that is given for a conic section and it also depicts the measure of how much the curve deviates from being circular.
The distance between loci can be calculated below:
Focus = a×e
where e is eccentricity and a is half of major axis.
F = 2500000 × 0.92
= 2300000
Distance b/w foci is 2f
= 2×2300000
= 4600000km.
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What kind of wave is formed (transverse or longitudimal wave, pick one) is formed by ripples on a calm pond? With explanation! Please help, most detailed answer will get brainliest and many points.
Answer:
Transverse
Explanation:
It's tranverse because the water molecules are moving repeatedly up and down vertically when the waves move horizontally across the waters surface.
The PE of a magnet in the presence of another magnet is related to-
A. only how close the magnets are together.
B. only the direction in which the poles point.
C. how close the magnets are together and how fast they are moving.
D. how close the magnets are together and which direction the poles point.
Answer:
D. how close the magnets are together and which direction the poles point.
Explanation:
The potential energy of a magnet in the presence of another magnet is related to how close the magnets are together and which direction the poles point.
When opposite poles of a magnet are aligned, there is an attractive force between them. The farther apart magnets are the more the potential energy.
The two magnets will attract each other so as to minimize the potential energy between them.
For opposite poles, the closer the magnets are, the higher the potential energy
How does lifting electromagnet working
Explanation:
Large electrical shifting magnets have concentrated retaining strength to lift dense, ferric objects and a deep-reaching magnetization. An immensely useful materials management technique is these electromagnetic rises.
I’m confused how do you right that in OZ someone please help I have to turn it in
what do you mean by impulse of a force ?
don't spam-
Answer:
Explanation:
Impulse of a force is defined as the product of the average force and the time interval for which the force acts on the body.
Answer:
The product of the force & the time for which it acts on a body is called impulse of a force.
A 0.060 kg tennis ball moving with the speed of 2.50 m/s, collides head-on with a 0.090 kg ball initially moving away from it at a speed of 1.15 m/s. Assuming a perfectly inelastic collision, what are the speed and direction of each ball after the collision?
a
1.50 m/s same direction of the tennis ball's initial motion
b
1.69 m/s same direction of the tennis ball's initial motion
c
2.25 m/s opposite direction of the tennis ball's initial motion
d
1.85 m/s opposite direction of the tennis ball's initial motion
The speed of each ball after the collision is 1.69 m/s and direction is same of the tennis ball's initial motion.
What is principle of momentum conservation?According to the principle of momentum conservation, momentum is only modified by the action of forces as they are outlined by Newton's equations of motion; momentum is never created nor destroyed inside a problem domain.
According to principle of momentum conservation:
the velocity of the two ball mass after the perfectly inelastic collision is
= (0.060 kg × 2.50 m/s + 0.090 kg × 1.15 m/s) ÷ ( 0.060 kg + 0.090 kg)
= 1.69 m/s
Hence, the speed of each ball is 1.69 m/s.
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A neutron in a reactor makes an elastic head on collision with the nucleus of an atom initially at rest.Assume: The mass of the atomic nucleus isabout 12.5 the mass of the neutron.What fraction of the neutron’s kinetic energy is transferred to the atomic nucleus?
0.274348
Explanation
Step 1
in a head-on elastic collision between a small projectile, in this case the neutron, and a much more massive target (atom), the projectile will bounce back with essentially the same speed and the massive target will be given a very small velocity,In elastic head-on collision, the energy of the system and total momentum is conserved
it can be represented by the expression
\(\begin{gathered} mv_i=mv_{f+MV_f} \\ where \\ m\text{ is the mass of the neuton } \\ v_i=\text{ initial velocity of the neutron} \\ v_f=\text{ final }velocity \\ M\text{ is the mass of the atom} \\ V_{F\text{ }}is\text{ the final velocity of the atom} \end{gathered}\)then, let's set the equations
\(\begin{gathered} mv_i=mv_{f+MV_f} \\ \text{subtract mv}_f\text{ in both sides} \\ mv_{i-}\text{mv}_f=mv_{f+MV_F}-\text{mv}_f \\ mv_{i-}\text{mv}_f=MV_F \\ \text{factorize m } \\ m(v_i-v_f)=MV_F \\ \text{divide both sides by m} \\ \frac{m(v_i-v_f)}{m}=\frac{MV_F}{m} \\ (v_i-v_f)=\frac{M}{m}V_F \\ as\text{ the ratio ot the mas iss 12.5} \\ (v_i-v_f)=12.5V_{}\Rightarrow equation\text{ (1)} \end{gathered}\)Step 2
the kinetic energy
\(\begin{gathered} \frac{1}{2}mv^2_i=\frac{1}{2}mv^2_f+\frac{1}{2}MV^2 \\ \frac{1}{2}mv^2_i-\frac{1}{2}mv^2_f=\frac{1}{2}MV^2 \\ \frac{1}{2}m(v^2_i-v^2_{_f})=\frac{1}{2}MV^2_{} \\ v^2_i-v^2_{_f}=\frac{MV^2}{m} \\ v^2_i-v^2_{_f}=12.5V^2_{}\Rightarrow equation(2) \end{gathered}\)combinde
a)
\(\begin{gathered} (v_i-v_f)=12.5V_{}\Rightarrow equation\text{ (1)} \\ v^2_i-v^2_{_f}=12.5V^2_{}\Rightarrow equation(2) \\ v^2_i-v^2_{_f}=(v_i-v_f)(v_i+v_f) \\ \text{hence} \\ (v_i-v_f)(v_i+v_f) \\ v_1+v_f=V\Rightarrow equation(3) \end{gathered}\)Step 3
solve the equaions
\(\begin{gathered} from\text{ (1) and (3)} \\ (v_i-v_f)=12.5V \\ v_f=-12.5V+v_i \\ v_{_f}=V-v_1 \\ -12.5V+v_1=V-v_1 \\ -13.5V=-2v_1 \\ \text{divide both sides by -2} \\ \frac{-13.5V}{-2}=\frac{-2v_1}{-2} \\ 6.75V=v_i \\ v_i=6.75V \end{gathered}\)Calculate the fraction of the neutron's kinetic energy transferred to the atomic nucleus.
Let
\(\begin{gathered} \frac{M}{m}=12.5 \\ \text{fraction transfered to the atom} \\ \frac{\frac{1}{2}MV^2}{\frac{1}{2}mv^2_i} \\ \frac{\frac{1}{2}MV^2}{\frac{1}{2}mv^2_i}=12.5\frac{V^2}{(6.75V)^2}=\frac{12.5}{45.5625}=0.274348 \\ \end{gathered}\)therefore, the answer is 0.274348
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In order to climb up a mountainside, a train needs to start at a speed of 40 mph. The speed limit on the track, however, is 25 mph. How much time does the train need to get up to 40 mph if it can accelerate 4 mph per minute ?
11.50 kg object has the given and acceleration components. =(0.35ms2)+(0.73ms3) =(11.5ms2)−(0.75ms3)
A man walks 30 m to the west than 5 m to the east in 45 seconds.
A). what is his total distance walked?
B). What is his average velocity?
Answer:
35 m
0.56 m/s west
Explanation:
A) Total distance is the length of the path taken.
30 m + 5 m = 35 m
B) Velocity is displacement over time. Displacement is the difference between the final position and the initial position.
If west is -x, and east is +x, then:
Δx = -30 m + 5 m
Δx = -25 m
v = Δx / t
v = -25 m / 45 s
v = -0.56 m/s
v = 0.56 m/s west
The total distance travelled = 35 m and average velocity = 0.55 \(m/s^{2}\)
We have a man who walked 30 m to the west than 5 m to the east in 45 seconds.
We have to find out his total distance walked and his average velocity?
Define Average velocity of a body?The average velocity is defined as the rate of change of displacement per unit time.
\(v_{avg} = \frac{x_{2} -x_{1} }{t_{2} -t_{1} }\)
According to the question -
A). The total distance travelled will be equal to = \(X_{W} +X_{E}\) = 30 + 5 = 35m
Since, the distance travelled is a scalar quantity, we have used simple addition method.
B). In order to calculate the average velocity, first we will calculate the displacement -
Consider the direction to the west as the + x axis, then -
displacement = \(30\overrightarrow{a_{x} } - 5\overrightarrow{a_{x} } = 25\overrightarrow{a_{x} }\)
Magnitude of displacement = 25 x | \(\overrightarrow{a_{x} }\)| = 25 x 1 = 25 m
\(v_{avg} = \frac{25}{45 } = 0.55\) \(m/s^{2}\)
Hence, the total distance travelled = 35 m and average velocity = 0.55\(m/s^{2}\)
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prepare a report on why a vehicle needs to be maintained/serviced after a certain period of time. How is servicing different in a petrol/diesel and electric vehicle?
Vehicles need to be serviced for several reasons such as preventing costly repairs and improving fuel economy.
Why should cars be maintained and / or serviced ?First, regular maintenance can help to prevent costly repairs down the road. Second, maintenance can help to improve fuel economy and emissions. Third, maintenance can help to keep your vehicle safe and reliable.
The servicing requirements for petrol/diesel and electric vehicles differ in a number of ways. Petrol/diesel vehicles require oil changes more frequently than electric vehicles. This is because petrol/diesel engines use oil to lubricate the moving parts, while electric motors do not. Petrol/diesel vehicles also require tune-ups more frequently than electric vehicles.
This is because petrol/diesel engines have more moving parts that need to be synchronized, while electric motors have fewer moving parts.
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1. At t=0s, a particle moving in the x-y plane with constant acceleration has a velocity ofv; = (3î-2)) m/s, and is at the origin. At t=3s, the particle's velocity is f = (91+7j) m/s. Find (a)the acceleration of the particle (b) Its coordinates at t=3s
Answer:
the particle is at coordinates (18,15/2)
Explanation:
To find the acceleration of the particle, we can use the formula for velocity: v = v0 + at, where v0 is the initial velocity, a is the acceleration, and t is the time. Since we know the initial and final velocities, as well as the time interval, we can solve for the acceleration:
a = (v - v0)/t = [(9i + 7j) - (3i - 2j)]/3 = (6i + 9j)/3 = 2i + 3j
So the acceleration of the particle is a = 2i + 3j m/s².
To find the coordinates of the particle at t=3s, we can use the formula for position: r = r0 + v0t + 1/2at², where r0 is the initial position. Since the particle starts at the origin, r0 = 0. Plugging in the values we have:
r = 0 + (3i - 2j)(3) + 1/2(2i + 3j)(3)² = 9i - 6j + 9i + 27/2 j = 18i + 15/2 j
We can use the kinematic equations of motion to solve this problem.
Let the acceleration of the particle be a = axî + ayj.
(a) Using the equation of motion v = u + at, where u is the initial velocity:
f = v = u + at
Substituting the given values, we get:
(91+7j) = (3î-2j) + a(3î + 3j)
Equating the real and imaginary parts, we get:
91 = 3a + 3a (coefficients of î are equated)
7 = -2a + 3a (coefficients of j are equated)
Solving these equations simultaneously, we get:
a = î(23/6) + j(1/2)
So the acceleration of the particle is a = (23/6)î + (1/2)j.
(b) Using the equation of motion s = ut + (1/2)at^2, where s is the displacement and u is the initial velocity:
At t = 3s, the displacement of the particle is:
s = ut + (1/2)at^2
Substituting the given values, we get:
s = (3î-2j)(3) + (1/2)(23/6)î(3)^2 + (1/2)(1/2)j(3)^2
Simplifying, we get:
s = 9î + (17/2)j
So the coordinates of the particle at t=3s are (9, 17/2).
4. A golf ball leaves the ground at an angle 0 and hits a tree while moving horizontally at height
h above the ground. If the tree is a horizontal distance of b from the point of projection,what’s the initial velocity interms of b and h
Answer:
To solve this problem, we can use the equations of motion for projectile motion. We know that the horizontal component of velocity remains constant throughout the motion, while the vertical component changes due to gravity. Let's consider the horizontal and vertical components separately.
Horizontal Component:
The horizontal component of velocity (Vx) remains constant throughout the motion. Therefore, we can write:
Vx = b/t
where t is the time taken by the golf ball to hit the tree.
Vertical Component:
The vertical component of velocity (Vy) changes due to gravity. We can use the following equation to find Vy at any time t:
Vy = u*sin(0) - gt
where u is the initial velocity, 0 is the angle of projection, g is the acceleration due to gravity (-9.8 m/s^2), and t is the time taken by the golf ball to hit the tree.
At the maximum height (h) reached by the golf ball, Vy becomes zero. Therefore, we can write:
h = u^2*sin^2(0)/2g
Solving for u, we get:
u = sqrt(2gh)/sin(0)
Now, we need to find the time taken by the golf ball to hit the tree. We can use the following equation:
b = Vx*t
Solving for t, we get:
t = b/Vx
Substituting this value of t in the equation for Vy, we get:
h = u*sin(0)*t - gt^2/2
Substituting the values of u and t, we get:
h = b*tan(0) - (g*b^2)/(2*Vx^2)
Finally, substituting the value of Vx, we get:
h = b*tan(0) - (g*b^2)/(2*b^2/t^2)
Simplifying, we get:
h = b*tan(0) - (g*t^2)/2
Solving for u, we get:
u = sqrt(2*(h + g*t^2/2)/sin(0))
Therefore, the initial velocity in terms of b and h is given by:
u = sqrt(2*(h + g*(b/Vx)^2/2)/sin(0))
find a vector(s) of length √15m in the x-z plane that is perpendicular to the vector A= (2i+3j+k) m
The vector that is perpendicular to the original vector is vector B = (√3 i - 2√3 k )
What is the vector that is perpendicular to the original vector?The vector that is perpendicular to the original vector is calculated as follows;
Let the vector = B = (xi + 0j + zk)
The dot product of A and B must be equal to zero.
A . B = (2i + 3j + k) . (xi + 0j + zk)
A.B = 2x + z = 0
2x = - z
The product of the vector must be √15 and it is calculated as;
√ (x² + z²) = √15
x² + z² = 15
Substitute the value of x for z;
x² + (-2x)² = 15
x² + 4x² = 15
5x² = 15
x² = 15/5
x² = 3
x = √3
z = - 2x
z = -2√3
The vector B = (√3 i - 2√3 k )
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Use the drop-down menus to complete each sentence.
The height of the cylinder is manipulated. This is the
variable.
The temperature of the water changes as the height of the cylinder changes. The temperature of the water is therefore the
variable.
A “constant” is a parameter that stays the same regardless of the variables. One parameter of the system that is held constant is the
.
One parameter of the system that is held constant that can be considered is the mass of the water.
What is a constant?In science, the constant is a type of unmodified variable that remains equal along with the experimental procedure.
The constants of a particular system must be considered and they cannot change in experiments or observations.
In conclusion, one parameter of the system that is held constant that can be considered is the mass of the water.
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41. A body, moving in a straight line with an initial velocity Of 5ms-1 and a constant acceleration Covers distance of 30 m In the 3rd second How much distance will it cover in the next 2 seconds ? (1) 90 m (2) 100m (3) 120 m (4) 70 (5) 80m
Answer:
130 ka plass ma 300 ma 900 bina too hava 600 in ma cata 800 500 670 klam mater boni to are in 4089 uano ka quny jinm kilo mater 560 seconds
Can anyone explain how to solve these problems?
The refrigerator's coefficient of performance is 3.81.
The refrigerator's power input is 504 W.
Refrigerators coefficient of performanceThe refrigerators coefficient of performance is calculated as follows;
\(COP = \frac{T_{cold}}{T_{hot} - T_{cold}}\)
The cold temperature = -71⁰C = 202 KThe hot temperature = -18⁰C = 255 K\(COP = \frac{202}{255 - 202} \\\\COP = 3.81\)
Work done in the refrigerator\(W = P \Delta V = P (V_2 - V_1)\\\\W = 150 \times 10^3 (100 \times 10^{-6} \ - \ 40 \times 10^{-6})\\\\W = 9 \ J\)
Refrigerators power input\(P = \frac{E}{t} \\\\P = 9 \ J \ \ \times \ \ 56 \ \frac{cycle}{s} \\\\P = 504 \ J/s \ = \ 504 \ W\)
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