Amplitude.
The amplitude A is the maximum elongation of each point of the wave with respect to the central or equilibrium position.
In a sinusoid wave is the maximum distance in the absolute value of the curve measured from the x axis, can be represented as y(t) = A sen (ωx + φ).
Example:
y(t) = 10 sin (2πx), Where the amplitud of the sine wave is A = 10
Answer:
A represents the amplitude of the wave. This measures the sound wave's intensity, or volume. Pls mark brainliest. Have a nice day!
A vector is 253 m long and points in a 55.8 degree direction. Find the X-Component of the vector. Please help!
Answer:
142.2 m
Explanation:
The x-component of a certain vector can be found by using
[tex]v_x = v cos \theta[/tex]
where
v is the magnitude of the vector
[tex]\theta[/tex] is the angle between the direction of the vector and the positive x-direction
In this problem, we have
v = 253 m is the length (magnitude) of the vector
[tex]\theta=55.8^{\circ}[/tex] is the angle
Substituting into the formula, we find
[tex]v_x = (253 m) cos 55.8^{\circ}=142.2 m[/tex]
To find the X-component of a vector, use the formula Ax = A * cos(θ), where A is the magnitude and θ is the angle with the X-axis. For the given vector of 253 m at 55.8 degrees, calculate Ax = 253 * cos(55.8°).
Explanation:The student is asking how to find the X-component of a vector with a given magnitude and direction. To find the X-component (Ax) of a vector, you can use the formula Ax = A * cos(θ), where A is the magnitude of the vector and θ is the angle it makes with the X-axis. In this case, the magnitude (A) is 253 m, and the angle (θ) is 55.8 degrees. Thus, applying the formula we get Ax = 253 m * cos(55.8°). You would need to use a calculator to find the cosine of 55.8 degrees and then multiply by 253 to find the X-component.
What is the most common state of matter in the universe
Answer:
Plasma
Explanation:
Plasma is the most common because plasma is a gas that has been energized to the point that some of the electrons break
The most common state of matter in the universe is plasma. It is found in stars and lightning, and is produced by heating a gas until its particles are pulled apart to form charged ions and free electrons.
Explanation:The most common state of matter in the universe is plasma. This is not a state of matter we commonly encounter on Earth, where the most common states of matter are solid, liquid, and gas. However, in the universe at large, plasma is the most abundant. Examples of plasma can be found in stars and lightning strikes.
Plasma is achieved by heating a gas until the particles are pulled apart, causing the electrons to separate from the rest of the particles. This ionized gas, a combination of negatively charged free electrons and positively charged ions , is plasma. It's the most energetic state of matter, as seen in the tremendous energy of stars and lightning.
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Pollex is the medical term for which of these parts of the human body?
Answer:
hand/thumb/finger
Explanation:
Final answer:
The term 'pollex' refers to the thumb, which is an essential digit of the hand for grasping and manipulating objects. It has two phalanx bones and a special structure that allows for a significant range of movement.
Explanation:
The medical term pollex refers to digit 1 of the hand, which is more commonly known as the thumb. The thumb is an essential part of the hand that allows for a wide range of movements and functions, such as grasping, holding, and manipulating objects. The pollex, or thumb, has two types of phalanx bones: the proximal and distal phalanges.
In the context of the human skeleton, the pollex is part of the upper limb anatomy which contains various bones including the bones of the arm, forearm, wrist, and hand. Its unique structure, having only two phalanx bones compared to three in the other digits, allows for the thumb's increased range of motion and the ability to oppose the fingers.
Sam blew up a balloon and rubbed it on his head. Then he stuck the balloon on the wall. This was all the result of electrostatics or the transfer of charge. The appearance of negative charge on a balloon is the result of its gaining electrons. And these electrons must come from somewhere; in this case, from Sam's hair. Electrons are transferred in any charging process. In the case of charging by friction, they are transferred between the two objects being rubbed together. Prior to the charging, both objects are electrically neutral and the situation obeys the law of conservation of charge. How does the law of conservation of charge explain Sam and his balloon?
A) Friction creates charge that collected on the balloon.
B) The balloon gained electrons; Sam's hair gained protons.
C) If the balloon acquires charge, Sam's hair loses charge.
D) The net charge before is zero; the net charge after is negative.
Ben and Jerry, arch rivals, decide to have a weight lifting contest during PE. Ready, set, go! Ben and Jerry both lift a 250 kg barbell 10 times over their heads. They are approximately the same height and lift the barbell the same distance in the air. It takes Ben 5 seconds to complete 10 lifts; it takes Jerry 25 seconds to complete his 10 lifts.
Which statement is MOST accurate regarding the weightlifting contest?
A) Ben did more work than Jerry.
B) Ben has more power than Jerry.
C) Ben and Jerry have the same power.
D) Ben does more work and is more powerful than Jerry.
Answer: If the balloon acquires charge, Sam's hair loses charge.
Explanation:
I JUST GOT THIS QUESTION RIGHT ON THE IA4 <3
Answer: C. If the balloon acquires charge, Sam's hair loses charge.
B. Ben has more power than Jerry.
Explanation: I took the test and these answers are correct. Have a nice day! :)
Which of the following statements concerning the first law of thermodynamics is/are true? Select all of the correct answers.Internal energy lost by a system is always gained by the surroundings.The universe is an isolated system.The internal energy of the universe is always increasing.
Answer:
Internal energy lost by a system is always gained by the surroundings
The universe is an isolated system
According to the first law of thermodynamics:
"Energy is not created, nor destroyed, but it is conserved."
Then this law relates the work and the transferred heat exchanged in a system through the internal energy, which is neither created nor destroyed, it is only transformed.
In other words: The change in the internal energy of a system is equal to the net heat that is transferred to it plus the net work done on it.
The universe is an isolated system, energy lost is equal to energy gained according to the first law of thermodynamics.
According to the first law of thermodynamics, energy is neither created nor destroyed but is converted from one form to another. This is demonstrated by the equation; E = q + w
E = internal energy of the system
q = heat gained/lost by the system
w = work done on/by the system
The following statements are true based on the first law of thermodynamics;
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If you place a free electron and a free proton in the same electric field, how will the forces acting on them compare? How will their accelerations compare? Their directions of travel?
Answer:
The forces (magnitude) would be the same; the electron would have a larger acceleration, and they will travel in opposite directions
Explanation:
- The magnitude of the force exerted on a charged particle by an electric field is
[tex]F=qE[/tex]
where q is the magnitude of the charge and E is the electric field strength. Since the proton and the electron have same electric charge magnitude (e, elementary charge), they will experience the same force under the same electric field.
- The acceleration of a particle is given by
[tex]a=\frac{F}{m}[/tex]
where F is the force exerted on the particle and m is the mass. Here, we said that the electron and the proton experience the same force F, however the mass of the proton is much larger (approx. 1800 times larger) than the mass of the electron, so the electron will experience a larger acceleration (because acceleration is inversely proportional to the mass)
- The direction of travel corresponds to the direction of the force. Since the proton is positively charged, the force exerted on it has same direction as the electric field; while since the electron is negatively charged, the force exerted on it has opposite direction to the electric field. Therefore, the two particles will travel into opposite directions.
Can an electron at rest in a magnetic field be set into motion by the magnetic field? What if it were at rest in an electric field?
Answer:
By a magnetic field: no
By an electric field: yes
Explanation:
The force exerted by a magnetic field on an electron is
[tex]F=qvB sin \theta[/tex]
where
q is the electron charge
v is the speed of the electron
B is the strength of the magnetic field
[tex]\theta[/tex] is the angle between the direction of v and B
As we see from the formula, if the electron is at rest, then v = 0, and therefore the force is also zero: F = 0. Therefore, the magnetic field cannot set the electron into motion.
On the other hand, the force exerted on an electron by an electric field does not depend on the speed:
[tex]F=qE[/tex]
where E is the intensity of the electric field
Therefore, the electric force acts also when the electron is at rest, so it is able to set the electron into motion.
Final answer:
An electron at rest cannot be moved by a stationary magnetic field but can be set into motion by an electric field. The force exerted by electric fields acts on stationary charged particles, while magnetic fields only affect moving charges.
Explanation:
An electron at rest cannot be set into motion by a stationary magnetic field because a magnetic field only exerts a force on a moving charged particle. However, if an electron is at rest in an electric field, it will experience a force that can set it into motion. This is because electric fields exert forces on charged particles regardless of their state of motion. For instance, electrons starting from rest and accelerated through a potential difference will move in circular paths when entering a uniform magnetic field, due to the force that acts perpendicular to their velocity and the magnetic field
Moreover, the relationship between electric and magnetic fields demonstrates that a pure electric field in one reference frame can be perceived as a combination of electric and magnetic fields in another frame if the particle is moving. This interplay is fundamental to many devices that rely on electromagnetic forces to function.
What did the scientist say to the hydrogen atom that claimed it lost an electron
Answer and Explanation:
[tex]Greetings![/tex]
[tex]Let's~answer~your~question![/tex]
[tex]The~scientist~said~``Are~you~positive?"[/tex]
[tex]and~that's~the~answer![/tex]
[tex]Hope~this~helps!~have~a~blessed~day~ahead![/tex]
Scientist say to the hydrogen atom that claimed it lost an electron is "Are you positive ?"
What is hydrogen atom?A hydrogen atom is an atom of both the chlorine atom hydrogen. The Coulomb this while a single partial positive proton and a single negative charge electron to the electrically neutral atom's nucleus. Atomic hydrogen accounts for approximately 75% of both the universe's entire baryonic mass.
A hydrogen atom, on the other hand, frequently joins forces with some other atoms to form compounds and collaborates with another hydrogen atom to produce common (scientists are still trying) hydrogen gas, H2. Scientist say to the hydrogen atom that claimed it lost an electron is "Are you positive ?"
Therefore, scientist say to the hydrogen atom that claimed it lost an electron is "Are you positive ?"
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The slight negative charge at one end of one water molecule is attracted to the slight positive charge of another water molecule. What is this attraction called?
A resistor is connected in series with an AC source that provides a sinusoidal voltage of v of t is equal to V times cosine of begin quantity omega times t end quantity, where V is the maximum voltage, omega is the angular frequency, and t is the time. The current supplied by this source that flows through this resistor is described with the function i of t is equal to I times cosine of begin quantity omega times t end quantity, where I is the maximum current. What is the average power supplied by this AC source?
In circuits, the average power is defined as the average of the instantaneous power over one period. The instantaneous power can be found as:
[tex]p(t)=v(t)i(t)[/tex]
So the average power is:
[tex]P=\frac{1}{T}\intop_{0}^{T}p(t)dt[/tex]
But:
[tex]v(t)=v_{m}cos(\omega t) \\ \\ i(t)=i_{m}cos(\omega t)[/tex]
So:
[tex]P=\frac{1}{T}\intop_{0}^{T}v_{m}cos(\omega t)i_{m}cos(\omega t)dt \\ \\ P=\frac{v_{m}i_{m}}{T}\intop_{0}^{T}cos^{2}(\omega t)dt \\ \\ But: cos^{2}(\omega t)=\frac{1+cos(2\omega t)}{2}[/tex]
[tex]P=\frac{v_{m}i_{m}}{T}\intop_{0}^{T}(\frac{1+cos(2\omega t)}{2} )dt \\\\P=\frac{v_{m}i_{m}}{T}\intop_{0}^{T}[\frac{1}{2}+\frac{cos(2\omega t)}{2}]dt \\\\P=\frac{v_{m}i_{m}}{T}[\frac{1}{2}(t)\right|_0^T +\frac{sin(2\omega t)}{4\omega} \right|_0^T] \\ \\ P=\frac{v_{m}i_{m}}{2T}[(t)\right|_0^T +\frac{sin(2\omega t)}{2\omega} \right|_0^T] \\ \\ P=\frac{v_{m}i_{m}}{2}[/tex]
In terms of RMS values:
[tex]V_{RMS}=V=\frac{v_{m}}{\sqrt{2}} \\ \\ I_{RMS}=I=\frac{i_{m}}{\sqrt{2}} \\ \\ Then: \\ \\ P=VI[/tex]
The free-fall acceleration at the surface of planet 1 is 26 m/s^2 . The radius and the mass of planet 2 are twice those of planet 1.
What is the free-fall acceleration on planet 2? Express your answer using two significant figures. m/s^2.
Answer:
13 m/s^2
Explanation:
The acceleration of gravity near the surface of a planet is:
g = MG / R^2
For planet 1, g = 26 m/s^2.
The gravity on planet 2 in terms of the mass and radius of planet 1 is:
g = (2M)G / (2R^2)
g = 1/2 MG / R^2
Since MG/R^2 = 26 m/s^2, then:
g = 13 m/s^2
The free-fall acceleration on planet 2 is "13 m/s²".
According to the question,
→ [tex]g_1 = \frac{GM_1}{R_1^2}[/tex]
[tex]= 26 \ m/s^2[/tex]
→ [tex]g_2 = \frac{GM_2}{R_2^2}[/tex]
[tex]M_2 = 2M_1[/tex][tex]R_2 = 2R_1[/tex]Now,
→ [tex]g_2 = \frac{G(2M_1)}{(2R_1)^2}[/tex]
[tex]= \frac{2GM_1}{4R_1^2}[/tex]
[tex]= \frac{1}{2} (\frac{GM_1}{R^2} )[/tex]
[tex]= \frac{1}{2} g_1[/tex]
[tex]= \frac{1}{2}\times 26[/tex]
[tex]= 13 \ m/s^2[/tex]
Thus the above answer is right.
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Which phenomenon best supports the theory that matter has a wave nature?
At the beginning of the 20th century (especifically 1924) the French physicist Louis De Broglie proposed in its doctoral thesis the existence of matter waves, that is to say that all matter has a wave associated with it.
De Broglie, in addition, deduced an equation by which the electron had a wavelength that depended on its momentum (hence its velocity).
These postulations were tested with the double slit experiment (formerly applied to photons) applied to electrons, and the result was: electrons (as well as the other particles different from the photons) are able to behave as waves.
It is important to note, this experimente was done in 1927 by Clinton J. Davisson and Lester Halbert Germer and was called the electron diffraction experiment. It consisted of bombarding with an electron beam a sample (nickel) and observing the resulting interference pattern.
In this way they demonstrated what de Broglie deduced mathematically.
A student with a weight of 784 N runs up three flights of stairs in 12.0 sec. The student has gone a vertical distance of 8.0 m. How much work is done by the student to move his body to this height? Assume that his speed is constant.
A) 98J
B) 1176J
C) 6272J
D) 61466J
Answer:
C) 6272 J
Explanation:
The work done by the student is equal to the increase in gravitational potential energy; therefore, it is given by
[tex]W=Fd[/tex]
where
F = 784 N is the force, which in this case is equal to the weight of the student
d = 8.0 m is the vertical distance covered
Substituting numbers into the formula, we find:
[tex]W=(784 N)(8.0 m)=6272 J[/tex]
Think of a time where you have observed someone's behavior and been encouraged to do the same. What did you do? Was it a good or bad action? Would you do it again?
Answer:
i'm not sure if you are asking as a personal question or a book question so i'm taking it personal.
Explanation:
I was doing a simple task that was handed to me to test my responsibility and I agreed (knowing i am responsible :3). my first thought was "man , this is easy!" but then i started seeing the other kids slaking off and quiting their tasks. I thought that was against the rules, but then i saw my bff doing it too and i thought "this should be ok then!" so i did the same. other kids where still doing it. the teacher came, saw the ones still working and smiled... but when the teacher looked at the ones slaking off omg... his face was like * im gonna kill yall* we took one big gulp and whined. the teacher awarded the ones who completed the task... the others , we had to do our original task but doubled... for 3 weeks!!! it was awful!!!
I WOULD NEVER DO THAT AGAIN!!!
I observed a classmate cheating during a test, but I chose not to follow their lead. Cheating is unethical and goes against the principles of honesty and integrity. I would not repeat such actions in the future.
Explanation:In Social Studies, I observed a situation where a classmate was directly copying another student's answers during a test. Seeing their behavior, I was encouraged to cheat and copy answers. However, I realized that this was a bad action as it goes against the principles of honesty and integrity. I chose not to follow their lead and instead completed the test using my own knowledge.
Cheating is unethical and can have serious consequences. It undermines the learning process and breeds a culture of dishonesty. I would not repeat such actions in the future, as it is important to prioritize integrity and personal growth.
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Use the kinetic-molecular theory to explain the compression and expansion of gases.
Answer:
According to the kinetic-molecular theory of gases, gases are composed of atoms and molecules (particles), where the distance among these elements is very large compared to their own size, therefore the total volume occupied by these particles is only a small part of the total volume occupied by the whole gas.
In other words: a gas has enough empty spaces in its total volume, therefore low density, which gives it the property of being highly compressible.
In this same sense, the kinetic-molecular theory of gases starts from the first principle of thermodynamics, establishing a relationship between heat and movement, since all material is composed of particles that are in motion (to a certain extent , depending on the state of matter), and in the case of gases the movement is greater, which is a strong indication of heat (thermal energy).
Now, gases can change their volume in two ways:
-By a change in temperature (heat transfer).
-By a change of pressure
So, this change or variation in volume is related to the work the gas does to change from an initial volume to a final volume.
Then, if in this process the volume decreases, it is said that the gas has been compressed (compression work); but if, on the contrary, the volume increases, the gas will have expanded (expansion work).
In this way, with the increase of the temperature of the gas, it is expanded by the increase of the kinetic energy of its molecules, but if an external pressure is applied it is compressed.
The compression and expansion of gases occur due to free spaces between gas particles.
Is compression and expansion of gases happen?Because of the space between gas particles, gases are easily compressed when pushed into a smaller volume. When the pressure is removed, their random motion enables gases to expand.
So we can conclude that the compression and expansion in gases occur due to free spaces between gas particles.
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A double-slit arrangement produces interference fringes for yellow sodium light. To produce narrower-spaced fringes, should red light or blue light be used?
a. blue lightb. red light
Answer:
Blue light
Explanation:
y=Lwm/d
where:
y is the distance between the finges
w is the wavelength is light (I dont have a symbol for lambda)
m is the fringe order (the central bright fringe is the zeroth- order, the next on either side is the + or - first order, et cet)
d is the distace between the slits
So to reduce y, the spacing between the fringes, you could move your screen closer to the slits, use slits that are spaced farther apart, or use a shorter wavelength of light (shift toward the blue)
To produce narrower-spaced fringes in a double-slit arrangement, blue light, which has a shorter wavelength than red light, should be used. This results in more closely spaced diffraction fringes.
To produce narrower-spaced fringes in a double-slit arrangement, blue light should be used instead of red light. This is because blue light has a shorter wavelength compared to red light. Given the same double-slit spacing (d), the smaller value of λ/d for blue light leads to smaller values of sin θ, resulting in a more closely spaced set of diffraction fringes. The concept of wavelength influencing the fringe spacing is crucial for understanding how light behaves in interference patterns. Thus, utilizing blue light, with its shorter wavelength, directly correlates to achieving narrower-spaced interference fringes in comparison to using red light.
Climates are defined by temperature and precipitation. Please select the best answer from the choices provided T F
Answer:
True
Explanation:
Answer: True
Explanation:
Climate is an average condition of weather for 30 years in a particular region. It can be measured on the basis of humidity, temperature, precipitation, wind speed and others.
The climates are generally define by the temperature and precipitation. The temperature may vary from cold to hot. The precipitation may also decide the climatic condition of a region such as the area which receives very low rainfall is expected to have dry and hot climatic condition.
Describe how fuses and circuit breakers protect against electrocution and household fires. How do you restore a broken circuit after the problem has been corrected?
Answer:
Explanation: A fuse or a circuit breaker automatically disconnects a circuit from the electric power the moment more current is drawn than its design allows. Electrical codes require one or the other to be installed at the point where power first enters a building. The electric supply to a home is usually divided into several circuits, each with its own fuse or breaker, of a rating appropriate for the thickness of the circuit's wires. That way, if the power is interrupted in part of the home, the rest of the home stays connected.
Fuses protect appliances from power surges, prevent metal casings from being electrified, and prevent electrocution by breaking when a wire becomes too hot, interrupting the electrical current and flow.
What is short circuit ?A short circuit causes excessive flow of current in the wire.As we know that the flow of current is due to the amount of charge flowing in the wire.
Fuses protect appliances from power surges, prevent metal casings from being electrified, and prevent electrocution by breaking when a wire becomes too hot, interrupting the electrical current and flow.
Due to movement of large number of electron in the wire or circuit with an intended path cause the short circuit in the wire.
If your circuit breaker continues tripping, there's probably a problem with the circuit. A short circuit in one of the appliances or in the wiring might be the cause.
It's possible that the breaker is tripping due to a ground fault. A circuit overload is possible.
Hence, fuses and circuit breakers protect against electrocution and household fires by breaking the circuit.
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A group of particles in a magnetic material whose magnetic fields line up with each other is called a ____________?
A 25-ft ladder rests against a vertical wall. If the bottom of the ladder slides away from the wall at a rate of 0.18 ft/sec, how fast, in ft/sec, is the top of the ladder sliding down the wall, at the instant when the bottom of the ladder is 20 ft from the wall? Answer with 2 decimal places.
Let [tex]x[/tex] be the distance between the base of the ladder and the bottom of the wall, and [tex]y[/tex] the distance between the top of the ladder and the bottom of the wall, so that
[tex]x^2+y^2=(25\,\mathrm{ft})^2[/tex]
Differentiate both sides with respect to time [tex]t[/tex]:
[tex]2x\dfrac{\mathrm dx}{\mathrm dt}+2y\dfrac{\mathrm dy}{\mathrm dt}=0[/tex]
When [tex]x=20\,\rm ft[/tex], the top of the ladder is
[tex]y=\sqrt{(25\,\mathrm{ft})^2-(20\,\mathrm{ft})^2}=15\,\mathrm{ft}[/tex]
above the ground. Then, given that the bottom of the ladder slides away from the wall at a rate of [tex]\dfrac{\mathrm dx}{\mathrm dt}=0.18\dfrac{\rm ft}{\rm s}[/tex], we have
[tex]2(20\,\mathrm{ft})\left(0.18\dfrac{\rm ft}{\rm s}\right)+2(15\,\mathrm{ft})\dfrac{\mathrm dy}{\mathrm dt}=0\implies\dfrac{\mathrm dy}{\mathrm dt}=-0.24\dfrac{\rm ft}{\rm s}[/tex]
That is, the top of the ladder is sliding downward at a rate of 0.24 ft/s.
The top of the ladder is sliding down the wall at a rate of approximately 0.576 ft/sec.
Explanation:To determine how fast the top of the ladder is sliding down the wall, we can use related rates. Let's denote the distance from the bottom of the ladder to the wall as x and the distance from the top of the ladder to the ground as y. From the given information, we have dx/dt = -0.18 ft/sec (negative because the bottom of the ladder is sliding away from the wall) and we want to find dy/dt when x = 20 ft. Using the Pythagorean theorem, we have x^2 + y^2 = 25^2. Differentiating both sides with respect to time, we have 2x(dx/dt) + 2y(dy/dt) = 0. Substituting the known values, we can solve for dy/dt when x = 20 ft.
So, when the bottom of the ladder is 20 ft from the wall, the top of the ladder is sliding down the wall at a rate of approximately 0.576 ft/sec.
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A running mountain lion can make a leap 10.0 m long, reaching a maximum height of 3.0 m.?a.What is the speed of the mountain lion just as it leaves the ground? b.At what angle does it leave the ground?
Answer:
What is the speed of the mountain lion as it leaves the ground?
9.98m/s
At what angle does it leave the ground?
50.16°
Explanation:
This is going to be long, so if you want to see how it was solved refer to the attached solution. If you want to know the step by step process, read on.
To solve this, you will need use two kinematic equations and SOHCAHTOA:
[tex]d = v_it + \dfrac{1}{2}at^{2}\\\\vf = vi + at[/tex]
With these formulas, we can derive formulas for everything you need:
Things you need to remember:
A projectile at an angle has a x-component (horizontal movement) and y-component (vertical movement), which is the reason why it creates an angle.Treat them separately.At maximum height, the vertical final velocity is always 0 m/s going up. And initial vertical velocity is 0 m/s going down.Horizontal movement is not influenced by gravity.acceleration due to gravity (a) on Earth is constant at 9.8m/sFirst we need to take your given:
10.0 m long (horizontal) and maximum height of 3.0m (vertical).
[tex]d_x=10.0m\\d_y=3.0m[/tex]
What your problem is looking for is the initial velocity and the angle it left the ground.
Vi = ? Θ =?
Vi here is the diagonal movement and do solve this, we need both the horizontal velocity and the vertical velocity.
Let's deal with the vertical components first:
We can use the second kinematic equation given to solve for the vertical initial velocity but we are missing time. So we use the first kinematic equation to derive a formula for time.
[tex]d_y=V_i_yt+\dfrac{1}{2}at^{2}[/tex]
Since it is at maximum height at this point, we can assume that the lion is already making its way down so the initial vertical velocity would be 0 m/s. So we can reduce the formula:
[tex]d_y=0+\dfrac{1}{2}at^{2}[/tex]
[tex]d_y=\dfrac{1}{2}at^{2}[/tex]
From here we can derive the formula of time:
[tex]t=\sqrt{\dfrac{2d_y}{a}}[/tex]
Now we just plug in what we know:
[tex]t=\sqrt{\dfrac{(2)(3.0m}{9.8m/s^2}}\\t=0.782s[/tex]
Now that we know the time it takes to get from the highest point to the ground. The time going up is equal to the time going down, so we can use this time to solve for the intial scenario of going up.
[tex]vf_y=vi_y+at[/tex]
Remember that going up the vertical final velocity is 0m/s, and remember that gravity is always moving downwards so it is negative.
[tex]0m/s=vi_y+-9.8m/s^{2}(0.782s)\\-vi_y=-9.8m/s^{2}(0.782s)\\-vi_y=-7.66m/s\\vi_y=7.66m/s[/tex]
So we have our first initial vertical velocity:
Viy = 7.66m/s
Next we solve for the horizontal velocity. We use the same kinematic formula but replace it with x components. Remember that gravity has no influence horizontally so a = 0:
[tex]d_x=V_i_xt+\dfrac{1}{2}0m/s^{2}(t^{2})\\d_x=V_i_xt[/tex]
But horizontally, it considers the time of flight, from the time it was released and the time it hits the ground. Also, like mentioned earlier the time going up is the same as going down, so if we combine them the total time in flight will be twice the time.
T= 2t
T = 2 (0.782s)
T = 1.564s
So we use this in our formula:
[tex]d_x=V_i_xT\\\\10.0m=Vi_x(1.564s)\\\\\dfrac{10.0m}{1.564s}=V_i_x\\\\6.39m/s=V_i_x[/tex]
Vix=6.39m/s
Now we have the horizontal and the vertical component, we can solve for the diagonal initial velocity, or the velocity the mountain lion leapt and the angle, by creating a right triangles, using vectors (see attached)
To get the diagonal, you just use the Pythagorean theorem:
c²=a²+b²
Using it in the context of our problem:
[tex]Vi^{2}=Viy^2+Vix^2\\Vi^2=(7.66m/s)^2+(6.39m/s)^2\\\sqrt{Vi}=\sqrt{(7.66m/s)^2+(6.39m/s)^2}\\\\Vi=9.98m/s[/tex]
The lion leapt at 9.98m/s
Using SOHCAHTOA, we know that we can TOA to solve for the angle, because we have the opposite and adjacent side:
[tex]Tan\theta=\dfrac{O}{A}\\\\Tan\theta=\dfrac{V_i_y}{V_i_x}\\\\\theta=Tan^{-1}\dfrac{V_i_y}{V_i_x}\\\\\theta=Tan^{-1}\dfrac{7.66m/s}{6.39m/s}\\\\\theta=50.17[/tex]
The lion leapt at an angle of 50.16°.
a. To find the speed, use projectile motion equations. b. To find the angle, use the equation tan(theta) = vertical velocity / horizontal velocity.
Explanation:a. To find the speed of the mountain lion just as it leaves the ground, we can use the equations of projectile motion. Since the lion reaches a maximum height of 3.0 m, we know that the initial vertical velocity is 0 m/s. Using the equation v = u + at, where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time, we can solve for the initial vertical velocity. Substituting the values: 0 = u + (-9.8 m/s^2) * t, where t is the time taken to reach the maximum height. Solving this equation gives us the value of t. From the given information of the leap being 10.0 m long, we can use the equation d = ut + (1/2)at^2 to solve for the initial horizontal velocity. Combining the horizontal and vertical velocities using the Pythagorean theorem, we can calculate the speed of the mountain lion.
b. To find the angle at which the mountain lion leaves the ground, we can use the equation tan(theta) = vertical velocity / horizontal velocity. Solving this equation will give us the angle at which the lion leaves the ground.
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What name is given to the number of particles in a mole
Answer: The answer to your question is Avogadro's number
Explanation: It describes the number of representative particles in one mole of a substance. The official definition of the mole is the quantity that describes the number of elementary entities as there are atoms in
12 g of isotopically pure carbon-12.
Mole measure the number of elementary entities of a given substance that are present in a given sample. Therefore, the name given to the number of particles in a mole is Avogadro's number.
What is mole?The SI unit of amount of substance in chemistry is mole. The mole is used to measure the quantity or amount of substance. We know one mole of any element contains 6.022×10²³ atoms which is also called Avogadro number.
There is no distinction among Avogadro number or Avogadro constant; they are interchangeable. This is the same as the number of particles in 12 g of cabon-12. Avogadro number is indeed the phrase used to indicate any entity's 6.022 10²³ number. Avogadro's number also isn't utilized in everyday life and is not recommended.
Therefore, the name given to the number of particles in a mole is Avogadro's number.
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What type of lens is used to correct farsightedness
Hyperopia (farsightedness) is a vision problem in which close objects are confusingly perceived. This is because the eyeball of a hyperopic person is shorter than the normal eye and the image forms behind the retina.
Therefore, these people have difficulty seeing objects up close.
To solve this, convex lenses are used. This type of lens are thicker at the center than at its edges and their function is to converge the rays of light so that they can reach the region of the retina called macula and the image can be formed correctly.
Two identical satellites orbit the earth in stable orbits. One satellite orbits with a speed v at a distance r from the center of the earth. The second satellite travels at a speed that is less than v. At what distance from the center of the earth does the second satellite orbit? a) At a distance that is less than r b)At a distance equal to r. c)At a distance greater than r
Answer:
c)At a distance greater than r
Explanation:
For a satellite in orbit around the Earth, the gravitational force provides the centripetal force that keeps the satellite in motion:
[tex]G\frac{Mm}{r^2}=m\frac{v^2}{r}[/tex]
where
G is the gravitational constant
M is the Earth's mass
m is the satellite's mass
r is the distance between the satellite and the Earth's centre
v is the speed of the satellite
Re-arranging the equation, we write
[tex]r = \frac{GM}{v^2}[/tex]
so we see from the equation that when the speed is higher, the distance from the Earth's centre is smaller, and when the speed is lower, the distance from the Earth's centre is larger.
Here, the second satellite orbit the Earth at a speed less than v: this means that its orbit will have a larger radius than the first satellite, so the correct answer is
c)At a distance greater than r
What percent of incoming solar radiation is absorbed
71% I Think is answer
How are forests affected by seasonal and long-term changes in temperature, precipitation, and sunlight? How do those changes affect biodiversity
Climate Change's Impact onEnvironment. Greenhouse gases, such as carbon dioxide, absorb heat fromsunlight, preventing it from escaping back into space. ... Though the Earth's climate has changed in the past, therapid severity of this change willdirectly affect ecosystems andbiodiversity.
Forests are impacted by seasonal and long-term changes in temperature, precipitation, and sunlight, affecting biodiversity. Adaptations are key for species survival in different biomes.
Forests are affected by seasonal and long-term changes in temperature, precipitation, and sunlight. For example, changes in temperature can alter the timing of plant growth and affect animal behavior. Changes in precipitation can impact soil moisture levels and plant distribution, while sunlight availability affects photosynthesis rates and overall ecosystem productivity.
These changes can significantly impact biodiversity in forests. Shifts in temperature and precipitation patterns can lead to changes in plant composition and distribution, which in turn affect the animals dependent on those plants for food and habitat. Changes in sunlight availability can also influence the types of plants that thrive in a particular forest, further shaping the biodiversity within the ecosystem.
Adaptations, such as those to extreme cold and dryness, play a crucial role in how plants and organisms survive in different biomes. These adaptations are essential for species to cope with the varying environmental conditions within forests and other ecosystems.
A light-year is a measure of distance (not time). how many meters does light travel in a year? one year is 3.156×107s. g
Answer:
[tex]9.45\cdot 10^{15} m[/tex]
Explanation:
The speed of light in a vacuum is:
[tex]c=3.0\cdot 10^8 m/s[/tex]
The distance that light travels in a time t is given by
[tex]d=ct[/tex]
where t is the time.
One year corresponds to a time of
[tex]t=3.156\cdot 10^7 s[/tex]
So, the distance travelled by the light in one year is
[tex]d=(3.0 \cdot 10^8 m/s)(3.156\cdot 10^7 s)=9.45\cdot 10^{15} m[/tex]
A 20-cm long spring is attached to the wall. When pulled horizontally with a force of 100N, the spring stretches to a length of 22cm. What is the value of the constant? A.) The same spring is used in a tug of war. Two people pull on the ends, each with a force of 100N. How long is the stretched string? B.) The same spring is now suspended from a hook and a 10.2kg block is attached to the bottom end. How long is the stretched spring?
Answer:
Explanation:
Part 0
All the spring moves is 2 cm
x = 2 cm * [1 m / 100 cm ]
x = 0.020 meters
F = k*d
100N = k * 0.02 m
100 N / 0.02 = k
5000 N / m
Part A
The spring feels a force of 100 N - - 100N = 200 N because each person is pulling in the opposite direction.
F = k * x
200N = 5000 N/m * d
200 / 5000 = d
d = 0.04 meters.
Part B
10.2 kg must be converted to a force as experienced here on earth.
F = m * g
g = 9.81
m = 10.2
F = 10.2 * 9.81
F = 100.06 N
F = k * d
100.06 = 5000 * d
d = 100.06 / 5000
d = 0.02 meters.
If the star Alpha Centauri were moved to a distance 10 times farther than it is now, its parallax angle would
A. get largerB. get smallerC. stay the same
Answer:
B. get smaller
Explanation:
The parallax angle of a star measured with respect to the Earth is inversely proportional to the distance of the star from the Earth:
[tex]\theta = \frac{1}{d}[/tex]
where
[tex]\theta[/tex] is the parallax angle, measured in arcsec
d is the distance between the star and the Earth, measured in parsec
Therefore, if the star Alpha Centauri is moved farther from Earth, then d increases, and therefore the parallax angle will get smaller.
What happens when an electron absorbs a photon
Explanation:
A small piece of energy is called as Electron. It cannot be broken down further into smaller pieces. Photon is a basic unit of light. Photons always travel. They are in a continuous motion. So when electron needs energy, They absorb light. The light is absorbed or emitted in the form of photons. Each photon contains energy which is absorbed by the electron to gain its energy. After absorbing the photon, electron moves towards a higher energy level. So when an electron absorbs a photon, energy is gained by the electron.