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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there are 11 steps one should follow when shooting
true or false
(Archery)
Answer:
true
Explanation:
1. Stance
2. Nock
3. Set Draw Hand
4. Set Bow Hand
5. Pre-Draw
6. Draw
7. Anchor
8. Aim
9. Shot Set Up
10. Release
11. Follow-Through & Reflect
what is the difference between sky and space?
Answer:
The sky is the region in which sunlight is scattered in the Earth's atmosphere,
while space is everything beyond that.
When conducting this experiment, some procedures call for heating the substance several
times and recording the mass after each heating, continuing until the mass values are
constant. Explain the purpose of this process and how it might reduce errors.
Answer:
when completing a science experiment it is important to run multiple tests do as to reduce the risk of any outliers of false results
The purpose of this process is to reduce the risk of having outliers of false results
Although the experiment you are referring to in your question is missing the general principle when conducting an experiment is the running of multiple tests before coming up with an actual test result.
Therefore when completing a science experiment it is important to run multiple tests like heating the substance several times until a constant mass value is obtained, in other to ascertain the results. the reason why such process is undertaken is to reduce the risk of having outliers of false results. Also
A scientific experiment involves several procedures and this depends on the type and purpose of the experiment.
for example: An experiment with the purpose of determining how the mass of an object reacts to heat will require the mass of the object to be recorded after heating the object/substance several times.
Hence we can conclude that the purpose of the process is to reduce the risk of having outliers of false results.
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How do biological and environmental factors affect behavior?
Answer:
biological: they can affect our train of thought and how we do or react to things. (Biological factors that influence human behavior can consist of our drive to be warm, fed, sheltered, have companionship (with some humans having stronger biological drives to reproduce), and be free from harm and oppression.)
environmental: the environment can influence mood. (The environment can facilitate or discourage interactions among people and the subsequent benefits of social support)
Explanation:
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have an awesome day -TJ
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Which element is a noble gas?
Answer:
Elements that are noble gases are helium, argon, xenon, krypton, neon and radon.
Mars has two moons that are most similar in character to ________. Earth's Moon comets small asteroids particles in the rings of Saturn
Answer:
Small asteroids
Explanation:
Mars has 2 moons, Phobos and Deimos, that each have characteristics similar to small asteroids.
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.
When energy is added to a wave, how can the wave change?.
Answer:
When energy is added to a wave How can the wave change? The energy transported by a wave is directly proportional to the square of the amplitude. So whatever change occurs in the amplitude, the square of that effect impacts the energy.
Explanation:
Physics. 40 points.
Help please :) (View attached image)
Answer:
1) 10 m/s 2) 14.1 m/s 3) 6.7 m 4) 11.25 m 5) 4.5 m/s 6) 12 joules
Explanation:
!!AYO I NEED HELP, YOU WILL GET 100 POINTS :)
In everyday language, the term acceleration is used to describe something that is speeding up, while deceleration is used to describe something that is slowing down. In physics, the word deceleration is not used at all. Instead, physicists talk about positive and negative acceleration. To understand this better, think about an object that is slowing down continuously until it stops, and then it starts to speed up and go backwards. The object is involved in one continuous process, so it does not make sense to use two different and opposite terms (acceleration and deceleration) to describe the same process. Acceleration is simply a vector quantity that involves a magnitude and a direction. Post a few short scenarios involving motion, in which you describe what is happening in everyday terms, including deceleration. Examine the postings of your classmates. Try to describe their scenarios using the scientific concepts of positive and negative acceleration. Examine the attempts of your classmates to describe motion scenarios using negative acceleration. Do you think they correctly describe the motion in the scenarios? Suggest any improvements that are necessary to make the descriptions correct
An example of acceleration is someone that's riding a carousel and a skydiver that's in free fall and deceleration is when one presses the brake while driving.
What is acceleration?It should be noted that acceleration simply means the rate at which velocity changes with time.
In this case, an example of acceleration is someone that's riding a carousel and a skydiver that's in free fall and deceleration is when one presses the brake while driving. Acceleration can also be the fall of an apple from the tree.
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Calculate the momentum when a toy car of mass 140g moves at 5m/s
Answer:
MOMENTUM= FORCE*MASS
= 140*5
= 700 kg⋅m/s
Is it possible for only one type of force to be present in a setup? How?
Yes, unless its not a main source.
When a 200g block is placed on the piston, the volume of the gas goes from 5×10−5m3 to 4.7×10−5m3, while the pressure goes from 5.4×104Pa to 5.7×104Pa . If the surface area of the piston is 1×10−3m2 , the energy transferred to the gas due to the compression is most nearly
Answer:
The energy transferred to the gas is 9 mJ
Explanation:
Given;
initial volume of the gas, v₁ = 5 x 10⁻⁵ m³
final volume of the gas, v₂ = 4.7 x 10⁻⁵ m³
initial pressure of the gas, P₁ = 5.4 x 10⁴ Pa
final pressure of the gas, P₂ = 5.7 x 10⁴ Pa
The work done in compressing the gas is given by;
W = ΔPV = (P₂ - P₁)(V₂ - V₁)
W = (5.7 x 10⁴ Pa - 5.4 x 10⁴ Pa)(4.7 x 10⁻⁵ m³ - 5 x 10⁻⁵ m³)
W = (3000)( -3 x 10⁻⁶)
W = - 9 x 10⁻³ J
W = -9 mJ
Thus, the work done in compressing this gas is equal to the energy transferred to the gas = 9 mJ
1.1
Which of the following pairs can be classified as vectors?
A. Friction and mass
B. Mass and inertia
C. Inertia and weight
D. Weight and friction
Answer:
C
Explanation:
vectors are any quantities that have both magnitude and direction
therefore both inertia and weight are both vectors
During photosynthesis, plants transform the energy in sunlight into chemical
energy by converting molecules of carbon dioxide and water into sugar and
oxygen molecules. A scientist wants to share what she has learned about this
process. What are two reasons the scientist might use models to help
represent her findings?
A. The process is very complex.
B. Scientists need to replicate her experiments.
C. The molecules are too small to show the actual molecules in her
report.
D. Photosynthesis cannot be carried out in a laboratory
B and D
Explanation:
The scientists need to replicate her experiment and to do that you need actual sunlight,it can't be carried out in a laboratory
Hope this helped
How much work is required to lift a 35-kg object from the ground 3.0-m into the air?
Also; How much Gravitational Potential Energy did the object gain?
The amount of work required to lift the object is 1029 J. And the amount of potential energy gained by the object is 1029 J.
What is work?Work can be defined as the product of force and distance. The s.i unit of work is Joules (J).
To calculate the amount of work required to lift the object, we use the formula below.
Formula:
W = mgh........... Equation 1Where:
P.E = work required to lift the objectm = mass of the objecth = height of the objectg = acceleration due to gravityFrom the question,
Given:
m = 35 kgh = 3 mg = 9.8 m/s²Substitute these values into equation 1
W = 35×3×9.8W = 1029 J.The amount of gravitational potential energy gained by the object is the same s the amount of work required to lift the object
Therefore,
P.E = W = 1029 JHence, The amount of work required to lift the object is 1029 J. And the amount of potential energy gained by the object is 1029 J.
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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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Light is coming from the left; which is a concave mirror? flat rectangle from the end half circle crescent crescent flipped.
Half circle crescent shape represents the shape of concave mirror which is also known as converging mirror.
What is concave mirror?A concave mirror which also called converging mirror, has a reflecting surface that goes inward. Concave mirrors are used to focus light so we can conclude that Half circle crescent shape represents the shape of concave mirror and also known as converging mirror.
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Answer:
the answer is C
Explanation:
just got it right hope this helps! :D
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:
subtract 14/3 from 5
[tex]subtact14 \3 from5[/tex]
a;most done i know im asking a lot of qeastions
Answer:
I cannot see the choices for no. 10, so I'll answer no. 8 and no. 9.
8. a. keep the Earth from tilting on its axis
9. c. an Earth-centered to a sun-centered model
Explanation:
8. The tilting of the Earth on its axis (23.5 degrees) is greatly related to the weather/seasons in different countries. It also affects the amount of daylight that a specific area receives. Keeping the Earth from tilting on its axis would allow your area to receive the same length of sunlight because not tilting at all leads to fewer number of variations.
9. The Earth was thought to be the center of the universe in accordance to the Ptolemaic system. However, this changed through "Heliocentrism," which states that the "sun" is the center of the solar system.
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
What happens when a light wave is refracted? Question 1 options: The waves spread out. The wave changes direction. The wave is scattered. The wave changes frequency.
When light wave is refracted, the wave changes direction.
What is Wave Refraction?Refraction of waves refer to the process that result in a change in waves direction as the wave is transmitted from one medium to another. Refraction of wave can be the process of bending of the path of the waves which is caused by a change in speed and wavelength of the waves.
Therefore, When light wave is refracted, the wave changes direction.
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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
which of the following statements is/ are true?
Answer:
2
Explanation:
because if both of them collided they have the same momentum
what are the two properties of a vector?
Answer:
magnitude and direction
Which tools would Sara use to find an irregularly shaped object’s mass and volume?
a meter stick, a ruler, and water
a meter stick, a balance, and water
a balance, water, and a ruler
a balance, water, and a beaker
Answer:
D. a balance, water, and a beaker
Hope this helps!
Answer:
Explanation:
D. a balance, water, and a beaker
A mountain climber has a mass (with all of their equipment) of 95, point, 0, k, g,95.0kg. If they were perfectly efficient, and ate 500, g,500g of chocolate (providing 11, point, 1, M, J,11.1MJ of chemical energy), how high could they climb?
Answer:
11900 meters
Explanation:
Use the Potential energy = mgh formula, substituting these in to get 11.1x10^6 = 95 x 9.81 x h.
Rearrange to make h the subject and the answer given is 11900 (3sig.fig.)
The maximum height to which he can climb will be 1.168 x 10⁴ meters.
What is potential energy?
The potential energy of a body is the energy of the body due it position. The potential energy always exist for two bodies which are in mutual interaction with each other for example by a force. For body a on earth, the potential energy of the body - earth system is -
E[P] = mgh
Given is a mountain climber that has a mass of 95 kg.
We can write -
Mass of climber = [M] = 95 kg
Energy gained by eating the chocolate = [E] = 11.1 MJ = 1.11 x 10⁷ joules
Assume that the height achieved achieve by the climber is [h] meters
Therefore, the potential energy gained at that height will be equal to 11 MJ
Therefore -
mgh = 1.11 x 10⁷
95 x 10 x h = 1.11 x 10⁷
95 x 10 x h = 1110 x 10⁴
h = (1110 x 10⁴)/950
h = 1.168 x 10⁴ meters
Therefore, the maximum height to which he can climb will be 1.168 x 10⁴ meters.
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how do you balance
___Ca + __O2 → ___CaO
Answer:
2Ca+ O2 ------> 2CaO
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