The direction of the induced current is counterclockwise.
What is Lenz law?This states that induced electric current flows in a direction such that the current opposes the change that induced it.
The direction of the induced current is counterclockwise as a result of the north pole being oriented downwards which is the opposite direction of the hands of a clock movement.
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Vector A has a magnitude of 27 m and
points in a direction 32° above the positive x axis. Vec-
tor B has a magnitude of 35 m and points in a direction
55° below the positive x axis. Sketch the vectors A, B,
and C = A + B. Estimate the magnitude and the
direction angle of from
your
sketch.
Answer:
The magnitude of the resultant is 55.0 m
The angle of resultant is 18.4° below the x axis
Explanation:
Given that,
Magnitude of vector A = 27 m
Angle = 32° above the x axis
Magnitude of vector B = 35 m
Angle = 35° blow the x axis
We need to calculate the angle between the vectors
Using given angle
[tex]\theta=32-(-55)[/tex]
ptex]\theta=87^{\circ}[/tex]
We need to calculate the sum of vector A and B
Using formula of sum of vector
[tex]C=\sqrt{A^2+B^2+2AB\cos\theta}[/tex]
Put the value into the formula
[tex]C=\sqrt{27^2+35^2+2\times27\times35\cos87}[/tex]
[tex]C=55.0\ m[/tex]
We need to calculate the direction angle
Using formula of angle
[tex]\tan\theta=\dfrac{B\sin\theta}{A+B\cos\theta}[/tex]
Put the value into the formula
[tex]\tan\theta=\dfrac{35\sin87}{27+35\cos87}[/tex]
[tex]\tan\theta=1.21[/tex]
[tex]\theta=\tan^{-1}(1.21)[/tex]
[tex]\theta=50.4[/tex]
We need to calculate the angle of the resultant vector makes with vector A
Using formula of angle
[tex]\phi=32-50.4[/tex]
[tex]\phi=-18.4^{\circ}[/tex]
Negative sign shows that the direction of resultant is below the x axis
Hence, The magnitude of the resultant is 55.0 m
The angle of resultant is 18.4° below the x axis
The magnitude of the sum of the vectors, C, can be obtained using the
parallelogram method.
The magnitude of the resultant vector, C, is approximately 45.3 meters.The direction of the resultant vector, C, is approximately 18.6° below the horizontal.Reasons:
The given parameters are;
Magnitude of vector A = 27 m
The direction of vector A = 32° above the horizontal
Magnitude of vector B = 35 m
The direction of vector B = 55° above the horizontal
By drawing, using the parallelogram resolution of vectors on MS Word, and
taking extension of the resultant in the x and y-direction, we have;
C = A + B = 42.92·i - 14.48·j
The magnitude of the resultant vector is therefore;
|C| = √((42.92 m)² + (14.48 m)²) ≈ 45.3 m
The direction is given as follows;
[tex]\theta = arctan \left(-\dfrac{14.48}{42.92} \right) \approx -18.6^{\circ}[/tex]
Verifying, we get;
Vector A = 27×cos(32°)·i + 27×sin(32°)·j ≈ 22.9·i + 14.31·j
Vector B = 35×cos(-55°)·i + 35×sin(-55°)·j ≈ 20·08·i - 28.67·j
C = A + B = ( 22.9·i + 14.31·j) + (20·08·i - 28.67·j) = 42.98·i - 14.36·j
Therefore, the vector obtained by sketch is correct approximately.
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What is the total displacement of the object? Please explain why/show your work
Answer: TOTAL DISPLACEmENT = 312.5 m
Explanation: BY USING FORmULA OF AREA OF TRIANGLE
TOTAL DISPLACEmENT = 1/2 BASE X ALTITUDE
= 1/2 (25-0)(35-10)
= 1/2 (25)(25)
= 625/2
= 312.5 m
is the difference the point of origin and the point of destination?
Answer:
point of origin is the starting point while point of destination is the ending point
In a healthy body, the heart pumps blood efficiently. When the heart has a problem, heart failure can occur. Heart failure can happen on one side of the heart or on both sides. What would happen if a person had right-sided heart failure?
The heart would fail to receive oxygenated blood from the lungs.
The heart would fail to efficiently pump oxygenated blood to the body.
The heart would fail to efficiently pump blood to the lungs.
The heart wouldn’t be able to pump blood to or receive blood from the lungs or the body.
Answer:
the heart would fail to efficiently pump oxygenated blood to the body and lungs
Answer:
the heart is hard to pump
Suppose you are spinning a child around in a circle by her arms. The
radius of her orbit around you is 2 meter. Her speed is 5 m/s. Her mass
is 20 kg. What is the magnitude and direction of tension in her arms?
Answer: 25
Explanation ;)
Which is NOT a fossil fuel?
A)Coal
B)Oil
C)Wood
D)Natural gas
Answer:
wood because, Coal, oil and natural gas are examples of natural gas. Biogas is the mixture of gases produced by the breakdown of organic matter in the absence of oxygen, usually consisting of certain quantities of methane and other constituents. therefore wood is not a fossil fuel
What are nebulas, and how are they affected by gravity?.
gravity could slowly begin to pull together a bit of clumps of gas and dust but as the clumps get more big the gravity for them gets more and more stronger
A car travels 10 meters east in 4 seconds. What is the car's velocity? *
Answer:
your velocity is 2.5 m/sec
the diagram shows a stationery box sitting on the floor which statement about the other force is exerted on the box are true
Picturing the way a volcano erupts to remember how a volcano functions is called a. visualizing c. keywording b. categorizing d. all of these please select the best answer from the choices provided a b c d
Answer:
A.
Explanation:
You need to imagine how the volcano erupts to know how the volcano works.
How are Neptune and Uranus allke?
Answer:
The methane gives Neptune the same blue color as Uranus.
Explanation:
Answer:
Uranus and Neptune are the two most distant planets in our solar system
Both are different from the larger gas giants Jupiter and Saturn, and from smaller rocky worlds like Earth
Uranus and Neptune have similar masses and internal compositions
Explanation:
Point B on a wheel of radius 40 cm that is rotating at a constant 5.0 revolutions
per second is located 0.20 m from the axis of rotation. Pont A is just at the border
of the wheel. See the figure.
a) What is the angular velocity of the wheel in rad/s?
b) What point has a greater linear speed, A or B? Calculate both speeds and
compare the results.
c) What are the centripetal accelerations of points A and B due to the spin of the
wheel? Sketch the situation and represent the vectors linear velocity and
centripetal acceleration in points A and B. Assume the rotation of the wheel
to be clockwise.
(a) The angular velocity of the wheel is 31.42 rad/s.
(b) The linear speed of the wheel at point A is greater than point B.
(c) The centripetal accelerations of points A is 394.89 m/s² and point B is 197.44 m/s².
Angular velocity of the wheel
The angular velocity of the wheel is calculated as follows;
ω = 2π (5) = 31.42 rad/s
Linear speed of the wheel at point Av = ωr
v = 31.42 x 0.4
v = 12.57 m/s
Linear speed of the wheel at point Bv = ωr
v = 31.42 x 0.2
v = 6.28 m/s
Thus, the linear speed of the wheel at point A is greater than point B.
Centripetal acceleration at point Aa = ω²r
a = (31.42)² x 0.4
a = 394.89 m/s²
Centripetal acceleration at point Ba = ω²r
a = (31.42)² x 0.2
a = 197.44 m/s²
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which of the following statements is/ are true?
Answer:
2
Explanation:
because if both of them collided they have the same momentum
Need help with the second one!
This question is based on the movie “Interstellar”
Nah we don't need a new planet
Explanation:
will can still manage our planet
Action and reaction forces are described by which of Newton's laws of motion?
first
second
third
fourth
Answer:
Newtons Third Law
Explanation:
Please give me brainliest much appreciated
Answer:
3rd
Explanation:
The magnetic field 0.02 m from a wire is 0.1 t. what is the magnitude of the magnetic field 0.01 m from the same wire? 0.01 t 0.05 t 0.1 t 0.2 t
The magnitude of the magnetic field is 0.01 m from the same wire will be 0.2 T.It is the type of domain where the magnetic force is received.
What is a magnetic field?It is the type of field where the magnetic force is obtained. With the help of a magnetic field. The magnetic force is obtained it is the field felt around a moving electric charge.
The given data in the problem is;
r is the radius= 0.02 m
I is the current = 10,000A
x is the position considered = 0.002 m
The value of the electric current is found as;
[tex]\rm B= \frac{\mu_0 Ix }{2 \pi r} \\\\ \rm I= \frac{B \times 2\pi r}{\mu_0} \\\\ \rm I= \frac{0.1 \times 2\times 3.14 \times 0.02}{4 \pi \times 10^{-7}} \\\\ \rm I= 10,000 \ A[/tex]
The megnetic field through the wire will be;
[tex]\rm B= \frac{\mu_0 I}{2 \pi r} \\\\\rm B= \frac{4 \pi \times 10^{-7} \times 10,000}{2 \times 3.14 \times 0.01} \\\\ \rm B= 0.2 \ T[/tex]
Hence the value of the megnetic field will be 0.2 T.
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Answer:
D
Explanation:
Please help me
Write what you think a wave is and list two types of waves
you have seen or heard about.
Answer:
Waves come in two kinds, longitudinal and transverse
Explanation:
hope it helps hehe
why does a balloon bursts if too much of air is blown into it
Answer:
it is due to the elastic rubber and the air pressure builds up and the rubber expands
Please someone help me plz I don’t understand 1 or 2 plz help me plz plz plz
Answer: 1.Magnification and resolution are important because the magnification in larges the image and the resolution makes it move shape and detailed creating the perfect image. 2. i dont know the second one, sorry
Explanation:
Does any form of movement generate thermal energy?
Atoms, molecules, and ions are the smallest particles that make up all matter. These microscopic particles are always in motion, either colliding or oscillating back and forth. Heat (or thermal) energy is created by the motion of particles and is found in all matter. As a result, thermal energy may be defined as an object's ability to perform work as a result of particle movement. Thermal energy is a form of kinetic energy, which is the energy associated with motion, because it is generated by the movement of particles.
An image is formed 16 cm behind a convex lens whose focal length is 8 cm. Using the Lens Equation, determine the position of the object.
For an image formed 16 cm behind a convex lens whose focal length is 8 cm, the position of the object is mathematically given as
o=16cm
What is the position of the object.?Question Parameter(s):
An image is formed 16 cm behind a convex lens
focal length is 8 cm
Generally, the equation for the is mathematically given as
1/f=1/o+1/i
Therefore
1/8=1/o+1/16
o=16cm
In conclusion, the position is
o=16cm
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A turtle moves at a speed of 1.0 km/h. How fast is the turtle
moving in meters per second (m/s)?
Answer:
0.28 m/s
Explanation:
1.0km/h * (1000m / 1km) * (1h / 3600s) =
The speed of the turtle in meters per second is 0.28.
What is unit conversion?Multiplication or division by a numerical factor, selection of the correct number of significant figures, and unit conversion are all steps in a multi-step procedure.
Speed is defined as the ratio of the time distance traveled by the body to the time taken by the body to cover the distance. The speed is a scalar quantity and does not require any direction to represent it.
Given that the speed of the turtle is 1.0 km/h. The speed in meters per hour will be calculated as below:-
To calculate the speed in meters per second multiply the number by 1000 and divide it by 3600.
1.0 km/h. = 1 x 1000 / ( 3600 )
1.0 km/h. = 1000 / ( 3600 )
1.0 km/h. = 0.28 meter second.
Therefore, the speed of the turtle in meters per second is 0.28.
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#SPJ2
subtract 14/3 from 5
[tex]subtact14 \3 from5[/tex]
How are gravity and air resistance the same?
Answer:
because baconeggandcheese
Explanation:
peepa pug
i can predict the motion of objects based on newton’s laws because ________
Answer;
Newton's laws models the motion of a body perfectly well.
The knowledge of the force acting on a body gives a good grasp of the resulting motion.
There are three know laws of motion postulated by Newton;
1st law; it states that an object will remain in its state of rest or uniform motion unless if it is acted upon by an external force.
2nd law: it states that the acceleration of a body depends on the mass and force acting on it.
3rd law: it states that action and reaction are equal and opposite.
A sound understanding of these law's can help predict and model the motion of a body .
Vocabulary
Define each term below and use it in a sentence. Then choose two additional terms from the movie.
What is the mass of a 37.0 N
weight?
m
=
= [ ? ] kg
Answer: 3.775 KG
Explanation: W = 37 N
m = ?
AS WE KNOW THAT
W = mG
37 = m 9.8
m = 37/9.8
m = 3.775 KG
PLEASE ANSWER AS FAST AS POSSIBLE! what property is the same for all electromagnetic waves?
A. the length of each wave
B. the amount of energy each wave transmits
C. the speed of each wave
D. the number of waves that occur each second
Answer:
i believe the answer is C. the speed of each wave
Answer:
the speed of each wave
Explanation:
a p e x :))
Want in own words please
What determines whether something is solid or liquid or gas
Answer:
An object could be determined as solid:
-It doesn't change shape easily.
-when lots of heat applied till melting point, it would melt or thaw (basically turn into liquid).
-turn to pieces or bent when enough force applied to it.
-the molecules attached with each other by strong forces, creating strong bonds.
An object could be determined as liquid:
-It changes shaped based on the container.
-when lots of heat applied till boiling point, it would vaporize
-the molecules have weak bonds, creating a lot of spaces.
-when heat extracted from the liquid till freezing point, it would freeze/hardened (turn into solid)
An object could be determined as gas:
-it doesn't have any shape or form.
-if fills in the container.
-if lots of heat applied, its molecules are going to move, vibrate,and transist faster; increasing pressure and volume.
-The molecules have very weak bonds, creating spacious space.
-when the heat are being extracted till certain freezing point, it is going to turn into liquid, then solid.
state and explain the structure of ear?
Answer:
The ear has external, middle, and inner portions. The outer ear is called the pinna and is made of ridged cartilage covered by skin. Sound funnels through the pinna into the external auditory canal, a short tube that ends at the eardrum (tympanic membrane).
The function of the outer ear is to collect sound waves and guide them to the tympanic membrane. The middle ear is a narrow air-filled cavity in the temporal bone. It is spanned by a chain of three tiny bones—the malleus (hammer), incus (anvil), and stapes (stirrup), collectively called the auditory ossicles.