Answer:
3.16 m·s⁻¹ at an angle of 71.6°
Explanation:
Assume that the diagram is like Fig. 1 below.
The boat is heading straight across the river and the current is directed straight downstream.
We have two vectors at right angles to each other.
1. Calculate the magnitude of the resultant
We can use the Pythagorean theorem (Fig. 2).
R² = (3 m·s⁻¹)² + (1 m·s⁻¹)² = 9 m²·s⁻² + 1 m²·s⁻² = 10 m²·s⁻²
R = √(10 m²·s⁻²) ≈ 3.16 m·s⁻¹
2. Calculate the direction of the resultant
The direction of the resultant is the counterclockwise angle (θ) that it makes with due East .
tanθ = opposite/adjacent = 3/1 = 3
θ = arctan 3 = 71.6°
To an observer at point O, the velocity of the boat is 3.16 m·s⁻¹ at an angle of 71.6°.
If My mom is 40 and my goldfish died what is my favorite color ?
Answer:
square
Explanation:
+=-=
Answer:
SɴOWʙʟØWɘR
Explanation:
1. What kind of light phenomena happen due to the refraction of light upon hitting the small crystals that make up cirrus or cirrostratus clouds?
2. A light phenomena which are formed when light passes through clouds and strikes
18
the ice crystals in them?
3. A light phenomenon formed from the combination of several light properties like refraction, reflection, and dispersion?
4. Rainbow are created after a rain shower and . 5. What do you call a visible accumulations of tiny water droplets or ice crystals
in the Earth’s atmosphere?
6. Howmanycolorsinrainbow?
7. What kind of rainbows are formed when light strikes small raindrops with almost the same size?
8. What kind of rainbows are formed when two inner reflections are done instead of one; this causes the reversal of colors in a secondary rainbow in comparison to a primary rainbow?
9. What do you call as a reflective surface that is curved inward and away from the light source?
10. What kind of mirror are curved outward like the bottom
of a spoon?
1. The light phenomena happen due to the refraction of light upon hitting the small crystals that make up cirrus or cirrostratus clouds is called Sundogs.
2.A light phenomena which are formed when light passes through clouds and strikes the ice crystals in them is called Halos.
3.A light phenomenon formed from the combination of several light properties like refraction, reflection, and dispersion is Rainbow.
4. Rainbow are created after a rain shower and Sun light.
5. A visible accumulations of tiny water droplets or ice crystals.
in the Earth’s atmosphere are called Clouds.
6. There are seven colors in a rainbow.
7. The kind of rainbows are formed when light strikes small raindrops with almost the same size are Supernumerary rainbows.
8.The kind of rainbows are formed when two inner reflections are done instead of one; this causes the reversal of colors in a secondary rainbow in comparison to a primary rainbow are Secondary rainbows.
9. A reflective surface that is curved inward and away from the light source is concave mirror.
10. The kind of mirror are curved outward like the bottom
of a spoon is convex mirror.
What is reflection?When a light strikes on a shiny surface, it reflects back the light ray in the same medium. The phenomenon is called reflection and the ray is called the reflected ray.
Thus, all the questions are answered.
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A 1.35-kg block sits on a lab table. The block accelerates to the right at a rate of 3.11 m/s/s There is a
forward force of 6.09 N. What is the force pulling the block backwards?
The figure shows five electric charges. Four charges with the magnitude of the charge 2.0 nC form a square with the size a = 4.0 cm . Positive charge with the magnitude of q = 5.5 nC is placed in the center of the square.
A) What is the magnitude of the force on the 5.5 nC charge in the middle of the figure due to the four other charges?
B) What is the direction of the force on the 5.5 nC charge in the middle of the figure due to the four other charges?
Considering the four electric charges forming a square with magnitude of charge of 2.0 nC on each. :
A) Magnitude of the force on the 5.5 nC charge in the middle of the figure = 3.48 * 10^-4 N
B) Direction of the force on the 5.5 nC charge in the middle of the figure = Leftward ( negative x -axis )
Using the given data :
size of square = 4 cm
magnitudes of four charges = 2.0 nC
a) magnitude of the force on the center charge
Electric force between two point charges = \(F = \frac{1}{4\pi *E_{o} } \frac{q1q2}{r^2}\) ----- ( 1 )
where ; \(\frac{1}{4\pi E_{o} } = 9 * 10^9 Nm^2/C^2\)
step 1 ; find r ( distance between charges )
r² = ( 2 )² + ( 2 )² = 8 cm²
back to equation 1
F = 9 * 10⁹ * \(\frac{2 * 10^{-9} * (5.5 * 10^{-9}) }{8*10^{-4} }\) = 1.23 * 10^-4 N
∴ magnitude of the force on the center charge ( Fnet )= 4F cos 45°
= 4 * ( 1.23 * 10^-4 ) * \(\frac{1}{\sqrt{2} }\) = 3.48 * 10^-4 N
b) The direction of the force at the center is along the negative x-axis ( leftward )
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A roller-coaster car with a mass of 900 kg starts at rest from a point 22 m above the ground. At point B, it is 8 m above the ground. [Express your answers in kilojoules (kJ).]
If the initial kinetic energy was zero and the work done against friction between the starting point and point B is 30,000 J (30 kJ), what is the kinetic energy of the car at point B?
Answer: 317.52
Explanation:
I'm just better
A main difference between asteroids and comets is that asteroids are mostly made of rock and comets are mostly made of metals carbon compounds ice vapor (gas) you can't fool me, astronomers don't really know what comets are made of
We can confirm that the difference between a comet and an asteroid lies in their compositions and physical characteristics derived from those compositions.
As stated in the question, the main difference between an asteroid and a comet is their compositions, meaning the materials from which they form.
Asteroids are rocky objects which a heavy metal composition, while comets tend to be made of dust, ice, and some rocky material. Some extra differences include:
Comets reflect a steady amount of light (because of their ice composition)Asteroids will reflect light at random intervals due to some metals that may be present on their surfaceComets tend to have a tail made of water from the melting ice when reflecting sunlight.Therefore, we can confirm that the main difference between asteroids and comets is their compositions, which lead to distinct physical characteristics.
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A truck accidentally rolls down a driveway for 8.0\,\text m8.0m8, point, 0, start text, m, end text while a person pushes against the truck with a force of 850\,\text N850N850, start text, N, end text to bring it to a stop. What is the change in kinetic energy for the truck?
Answer:
Explanation:
According to work energy theorem
change in kinetic energy of truck = work done against it
work done against it = force x displacement
= - 850 x 8 = 6800 J
change in kinetic energy of truck = - 6800 J .
energy will be reduced by 6800 J
Answer:-6800
Explanation:
A Ping-Pong ball is shot into a circular tube that is lying flat (horizontal) on a table-top.
Figure attached.
When the Ping-Pong ball exits the tube, which path will it follow in the figure?
d
a
c
b
e
Answer:
e
Explanation:
radio waves bounce off objects and can be tracked. The photo shows one way this technology is used today
Doppler radars work by using radio waves that bounce off objects and thus the object can be tracked.
Doppler radars work by emitting a beam of energy from an antenna known as radio waves. The energy they release when they collide with airborne objects scatters in all directions, with some of it returning directly to the radar.
The quantity of energy returned to the radar increases with object size. We can now perceive raindrops in the atmosphere because of this.
The amount of time it takes for the energy beam to be delivered and returned to the radar also gives us the object's distance.
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Mrs. Hankinson made the following electromagnet. What is the most likely explanation for the failed experiment?
A. The battery is too low voltage to work
B. The electromagnet needs a switch
C. The wire was not connected properly
D. The metallic objects lost their magnetic domains
Because the cable was not connected properly is the most likely cause of the experiment's failure.
Which best describes the operation of an electromagnet?The coils of wire that make up an electromagnet have electricity running through them. When an electric current flows through the wire coils of an electromagnet, the coils act like a magnet because moving charges produce magnetic fields.
Why won't my electromagnet operate?There are numerous factors to examine. Make sure an ordinary magnet can attract safety pins as a start. Then, verify that current is actually flowing through your wire. To do this, you need a strong enough battery, a wire with a low enough resistance, and a complete circuit connecting the two.
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A ball is thrown 125 meters upward and then falls the same distance back to Earth. Neglecting air resistance, its total time in the air is
Answer:
the ball is in the air for 10 seconds
Explanation:
let gravity = 10m/s/s
height = 1/2 acceleration • time^2
125 m = 1/2 • 10 m/s/s • time ^2
125m = 5 m/s/s • time^2
25s = time^2
5 s = time
5 seconds is the time required for half of the flight
time total = 2 • time
time total = 2 • 5s
time total = 10 s
Question 9 of 25Which items below describe beta decay?Check all that apply.A. A neutron turns into a proton.B. An atom is unstable.C. A proton turns into an electron.D. An electron is taken into the nucleus.
Given:
A beta decay process.
To find:
A process that describes beta decay.
Explanation:
Beta decay is a radioactive decay in which an electron is emitted from an atom. There are two types of beta decay, beta plus decay and beta minus decay.
Beta plus decay: In beta plus decay, a proton inside a radioactive nucleus is converted into a neutron by giving out a positron and an electron neutrino.
Beta minus decay: In beta minus decay, a neutron is converted into a proton by giving out an electron and an electron antineutrino.
Thus, the correct option is option A.
Final answer:
The correct option is option A: a neutron turns into a proton.
7.The speed of an electromagnetic wave is a constant, 3.0 x 108 m/s. The wavelength of a wave is 0.6 meters.What is the frequency?1.8 Hz5.0 Hz5.0 x 108 HzO 1.8 x 108 Hz
Given data
*The given speed of an electromagnetic wave is
\(c=3\times10^8\text{ m/s}\)*The given wavelength of the wave is
\(\lambda=0.6\text{ m}\)The formula for the frequency of the wave is given as
\(\begin{gathered} \lambda=\frac{c}{f} \\ f=\frac{c}{\lambda} \end{gathered}\)Substitute the values in the above expression as
\(\begin{gathered} f=\frac{3.0\times10^8}{0.6} \\ =5\times10^8\text{ Hz} \end{gathered}\)HELP ME ASAPPPPPPPPPPP
A penny sinks to the bottom of a wishing well
What type of frictional force is that?
The frictional force involved when a penny sinks to the bottom of a wishing well is primarily due to viscous drag or fluid friction. As the penny moves through the water, it experiences resistance from the surrounding fluid. This resistance is caused by the frictional forces between the water molecules and the penny's surface.
What is the electric potential energy of the group of charges in the figure? (Figure 1)
that the relative placements of the charges as well as their multiples affect a set of ions' potential energy. When the specific charge have the same sign or have equal signs, the energy is positive. Or else, it is negative.
How is potential energy calculated?The force acting just on two objects affects the potential energy formula. The formula for gravitational force is P.E. (= mgh, where g seems to be the acceleration caused by gravity (9.8 m/s2 at the earth's surface) while h represents the elevation in metres.
What is a system with two charges' potential energy?As a result, the system's potential energy equals the sum of a work that was done to set up the entire system of two counts. The potential energy that exists in the combination of two charges in such an external field can be stated as follows: q1V(r1) = q2V(r2) + (q1q2/4or12).
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I need help with questions b and d, that’s all.
Thank you.
b). The power depends on the RATE at which work is done.
Power = (Work or Energy) / (time)
So to calculate it, you have to know how much work is done AND how much time that takes.
In part (a), you calculated the amount of work it takes to lift the car from the ground to Point-A. But the question doesn't tell us anywhere how much time that takes. So there's NO WAY to calculate the power needed to do it.
The more power is used, the faster the car is lifted. The less power is used, the slower the car creeps up the first hill. If the people in the car have a lot of time to sit and wait, the car can be dragged from the ground up to Point-A with a very very very small power ... you could do it with a hamster on a treadmill. That would just take a long time, but it could be done if the power is small enough.
Without knowing the time, we can't calculate the power.
...
d). Kinetic energy = (1/2) · (mass) · (speed squared)
On the way up, the car stops when it reaches point-A.
On the way down, the car leaves point-A from "rest".
WHILE it's at point-A, it has no speed. So it has no (zero) kinetic energy.
A capacitor is connected to a 9 V battery and acquires a charge Q. What is the charge on the capacitor if it is connected instead to an 18 V battery
A rocket sled accelerates to 50 m/s. When the rocket engine stips, the sled skids along its rails. If the coefficient of friction is 0.5, how fast is the sled moving after 2.50 s?
The sled's speed can be calculated by considering the acceleration, frictional force, and time. After substituting the given values and performing the calculations, the final speed is determined to be 12.25 m/s.
To calculate the speed of the sled after 2.50 seconds, we can use the equations of motion and consider the forces acting on the sled.
Let's denote the initial speed of the sled as v0, the final speed as vf, the acceleration as a, the time as t, and the coefficient of friction as μ.
Initially, the rocket sled is accelerating, so we can use the equation:
vf = v0 + at
Since the sled is skidding along its rails after the rocket engine stops, the only horizontal force acting on the sled is the force of friction. The frictional force can be calculated using the equation:
frictional force = coefficient of friction * normal force
Since the sled is moving horizontally, the normal force is equal to the weight of the sled, which can be calculated as:
weight = mass * gravity
Now, we can determine the acceleration of the sled using Newton's second law:
frictional force = mass * acceleration
Combining the equations and substituting the values, we have:
vf = v0 + (frictional force / mass) * t
To find the frictional force, we need to calculate the weight of the sled and then multiply it by the coefficient of friction:
frictional force = (mass * gravity) * coefficient of friction
Substituting this back into the previous equation, we get:
vf = v0 + ((mass * gravity * coefficient of friction) / mass) * t
Simplifying further, we have:
vf = v0 + (gravity * coefficient of friction) * t
Now we can substitute the given values into the equation. Assuming the acceleration due to gravity is approximately 9.8 m/s², the coefficient of friction is 0.5, the initial speed is 0 m/s (since the sled starts from rest), and the time is 2.50 s, we can calculate the final speed:
vf = 0 + (9.8 * 0.5) * 2.50
vf = 12.25 m/s
Therefore, the sled is moving at a speed of 12.25 m/s after 2.50 seconds.
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Consider a concave mirror that has a focal length f. In terms of f, determine the object distances that will produce a magnification of
A. -2
B. -3
C. -4
We have that the magnification of each focal length is given respectively as
A) has \(u=3\frac{f}{2}\)
B) has \(u=4\frac{f}{3}\)
C) has \(u=5\frac{f}{4}\)
From the question we are told that:
Focal Length F
Generally, the equation for Magnification is mathematically given by
\(M=\frac{-v}{u}\)
Therefore
\(v=2u\)
For A
\(M=-2\)
Therefore
\(\frac{1}{f}=\frac{1}{u}+\frac{1}{v}\)
\(\frac{1}{f}=\frac{1}{u}+\frac{1}{2u}\)
Therefore
\(u=3\frac{f}{2}\)
For B
\(M=-3\)
Therefore
\(v=3u\)
Where
\(\frac{1}{f}=\frac{1}{u}+\frac{1}{v}\)
\(\frac{1}{f}=\frac{1}{u}+\frac{1}{3u}\)
Therefore
\(u=4\frac{f}{3}\)
For C
\(M=-4\)
Therefore
\(v=4u\)
Therefore
\(\frac{1}{f}=\frac{1}{u}+\frac{1}{v}\)
\(\frac{1}{f}=\frac{1}{u}+\frac{1}{4u}\)
Therefore
\(u=5\frac{f}{4}\)
Conclusion
From the calculations above we can rightly say that the magnifications of the values above are
A has \(u=3\frac{f}{2}\)
B has \(u=4\frac{f}{3}\)
C has \(u=5\frac{f}{4}\)
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all of the following elements will form ions by losing electrons except
aluminum
iron
sodium
oxygen
Using your knowledge of Work and Power, explain why you are more tired if you run a specific distance as fast as possible compared to case when you have walked the same distance.
One becomes more tired when running to cover a distance than when walking because more energy has been expended.
What is work?Work is a measure of energy expended in moving an object or completing a task.
Work requires energy to be done. Energy is the capacity to do work.
According to this question, a task concerning covering a specific distance is to be completed. To do this work, one can either run or walk.
Running will cause the work to be done in a lesser time compared to walking, however, more energy will be expended doing so.
This makes a biological organisms more tired because he has lost more energy when running than walking, which conserves energy.
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1.) Consider the graph shown to the right. The two lines denote the motion of two different objects which move in the x direction only.
2.) Five vectors, A, B, C, D, E are shown at the right. Which of the combinations below has the largest magnitude ?
Graph is shown in the picture, please help!
The change in position of an object over time is known as velocity. The thing in question is traveling correctly. Vector c has the largest magnitude of all the vectors. And as demonstrated, a half-arrow can be used to represent this vector.
What are some types of objects?Everything that is readily apparent or palpable and has a stable form. An object of study in medicine is anything, anyone, or anything to which action or thinking is focused.
What is a kid-friendly object?A person or thing that the verb directs its action toward is called an object. A noun, pronoun, or noun phrase that is impacted by the action verb is referred to as an object. A sentence is also finished by it.
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Find the y-component of thisvector:12.0 m73.3°Remember, angles are measured fromthe +X axis.y-component (m)
Given data:
The magnitude of the given vector is,
\(A=12.0\text{ m}\)An angle between the given vector and +x axis is,
\(\theta=73.3^o\)The formula of y-component is as follows:
\(A_y=A\sin \theta\)Here,
\(A\text{ is the magnitude of the given vector-A}\)Now, substitute known values in above equation;
\(\begin{gathered} A_y=12\text{ m}\times\sin 73.3^o \\ A_y=11.49\text{ m} \end{gathered}\)Therefore, the y-component of the given vector is 11.49 m
What statement about galaxies is true?A. Spiral galaxies have a galactic bulge in its center.B. Barred galaxies from when one galaxy orbits another.C. Round galaxies are new galaxies just starting to form.
Option A is correct.
The spiral galaxy is in a spiral shape that has a bulge at the center, and it is surrounded by the spiral arms. The central bulge is formed due to the presence of old stars. The spiral galaxy starts with this galactic bulge.
Which feature is created when a block of rock dropped down in relation to the block of rock beside it?
Answer:
Which feature is created when a block of rock dropped down in relation to the block of rock beside it?
Explanation:
Grabens drop down relative to adjacent blocks and create valleys. Horsts rise up relative to adjacent down-dropped blocks and become areas of higher topography.
Nowton's third law refers to 'action reaction forces*. These forces are
always:
equal in magnitude but opposite in direction
Charles Darwin used fossils as evidence to develop his theory of natural selection. Which event would most likely lead to a change in this theory?
Answer:
Darwin used fossils as pieces of evidence in order to develop the theory of natural selection.
He observed that the fossils of simple organisms are found to be present in much older rocks, whereas fossils of more complex organisms are obtained from the geologically younger rocks. This observation of fossils made him understand how the evolutionary process takes place in due course of time. This evolution takes place due to the natural selection method, where an organism is adapted to a particularly suitable environment.
Thus, the discoveries of various fossils helped in developing the natural selection theory.
you made $100,000 this year. you have $0 in adjustments, $11,500 in deductions and $7,300 in exemptions. What is your taxable increase?
The tax rate you will pay is displayed in tax brackets for each category of taxable income.
Thus, For instance, in 2022, the first $10,275 of your taxable income is subject to the lowest tax rate of 10% if you are single.
Up until the maximum amount of your taxable income, the following portion of your income is taxed at a rate of 12%.
As taxable income rises, the tax rate rises under the progressive tax system. Overall, this has the result that taxpayers with higher incomes often pay a greater rate of income tax than taxpayers with lower incomes.
Thus, The tax rate you will pay is displayed in tax brackets for each category of taxable income.
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Assuming we have a 1 cm long empty solenoid with a 1 mA current flowing through it, how many loops do we need to have in the solenoid to generate a 1 T magnetic field inside the solenoid? Give your answers as integers rounded up
N =
What if we had an iron core inside the solenoid with relative permeability of 64,000 ? How many loops would we need in this case?
N =
(a) To generate a 1 T magnetic field inside the solenoid, we need 7.96 x 10⁶ turns.
(b) If we had an iron core inside the solenoid with relative permeability of 64,000, the number of turns would be 124 turns.
What is the number of turns of the solenoid?
The number of turns of the solenoid is determined by applying the following equation for magnetic field strength at the center of the solenoid.
B = μnI
where;
μ is the permeability of free space = 4π x 10⁻⁷ T/AI is the current = 1 mA = 0.001 AB is magnetic field strength = 1 Tn is number of turns per lengthn = B/ μI
N/L = B/μI
N = (BL)/μI
where;
L is the length of the solenoidn = (1 x 0.01) / (4π x 10⁻⁷ x 0.001)
n = 7.96 x 10⁶ turns
If we had an iron core inside the solenoid with relative permeability of 64,000, the number of turns would be calculated as;
N = (BL)/(μI x μr)
where;
μr is the relative permeabilityN = (1 x 0.01) / (4π x 10⁻⁷ x 0.001 x 64,000)
N = 124 turns
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A contestant in a winter games event pushes a rock across a frozen lake (frictionless) with a force of 25 N at 60° below the horizontal as shown in Figure (a) below. It moves with an acceleration of 0.5 m/s2 to the right. Calculate the mass of the rock in kg. Ignore Figure (b). b)
The net force acting on the rock is 12.5 N. The mass of the rock is then force divided by acceleration that is 25 kg here.
What is force?Force is an external agent acting on a body to change its motion or to deform it. Force is the product of mass and acceleration for a moving body.
Given the force = 25 N in 60°
net force in horizontal direction = 25 cos 60 = 12.5 N
acceleration = 0.5 m/s²
Mass of the rock = force/ acceleration
mass = 12.5 N/0.5 = 25 Kg
Therefore, the mass of the rock is 25 kg.
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