Here is the parallelogram rule in the file attached... Can someone please explain why the resultant force of these 2 vectors (30 N and 40 N) is 60 N? I know it's with an angle at 26ºC to the horizontal, so it wouldn't be 50 N. So how do you find this? How do you calculate the vectors when they are not straight lines shown. If someone is using this for an advantage of points, I'll report you. Thanks in advance :)
Answers
9514 1404 393
Answer:
sum the components, orsolve the triangleExplanation:
The most straightforward way to compute the resultant of two vectors is to add their x- and y- components. In the attached, we have labeled the 30 N force "B" and the 40 N force "A". Their respective (x, y) components are ...
A = 40(cos(0°), sin(0°)) = (40, 0)
B = 30(cos(62.72°), sin(62.72°)) = (13.75, 26.66)
Then the components of the resultant are ...
R = A + B = (40, 0) +(13.75, 26.66) = (53.75, 26.66)
Its magnitude is found from the Pythagorean theorem:
|R| = √(53.75² +26.66²) = 60.00
Its direction is found from the components using the arctangent function:
∠R = arctan(26.66/53.75) = 26.38°
In a sort of shorthand notation, ...
R = 60.0∠26.4°
__
Alternate solution
In order to perform the above calculation, you need to know the angle between the vectors. The other angle in the parallelogram is the supplement of this. So, you can find the resultant by solving the triangle OAR, where O is the origin. Angle A in that triangle will be 180° -62.72° = 117.28°. This gives you enough information to use the Law of Cosines.
OR² = OA² +AR² -2(OA)(AR)cos(A)
OR² = 40² +30² -2·40·30·cos(117.28°) ≈ 3600.0
|R| = √3600 = 60
Then you can find the angle AOR using the law of sines.
sin(AOR)/30 = sin(117.28°)/60
∠AOR = arcsin(sin(117.28°)/2) = 26.38°
So, you now know ...
R = 60.0∠26.4°
Related Questions
Convert 318 meters per second to kilometers per hour
Answers
Answer:
1144.8
Explanation:
1 meter per second is equal to 3.6 kilometers per hour
1. A force acting on an object in the upward direction is 3 N. The force that would
balance this force could be written as
will balance because 3 N + (____
-) =
acts in the
direction.
You that know these forces
The balancing force
Answers
Answer:
See the explanation below
Explanation:
We must perform a sum of forces on the body, that sum of forces is equal to zero. That is, the body is in balance and does not move.
ΣF = 0
3 - 3 = 0
This force is negative and acts by pointing downwards.
Answer: ow consider a book sliding from left to right across a tabletop. Sometime in the prior history of the book, it may have been given a shove and set in motion from a rest position. Or perhaps it acquired its motion by sliding down an incline from an elevated position. Whatever the case, our focus is not upon the history of the book but rather upon the current situation of a book sliding to the right across a tabletop.
Explanation:
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Answers
30,000 kg * 1.5 m/s^2 = 45,000 N
A annoying small child is dropped off a 16.0 m cliff (for complaining about homework). The
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m/s - Don't worry,
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Answer:
i would be that annoying child lol
Explanation:
but i just needed this for points sorry :>
Which quantities define momentum?
Answers
Answer:
velocity and mass
Explanation:
:) apek
know the reasons why people have conflict
Answers
Answer:
just to have conflict
Explanation:
Answer:
·Some people find enjoyment in conflict. (Negative people and bullies)
·Sometimes the only thing that makes that person feel food is to throw people down.
·Conflict happens when two people disagree.
Explanation:
These are just some but there are many more :)
Hope this Helps
:D
A baseball bat strikes a baseball of mass that is at rest, and as a result the baseball files away from the bat. The kinetic energy gained by the
baseball as it leaves the bat is due to the
(A) loss of mass after the ball is hit.
(B) gain in potential energy as the ball rises to the peak of its trajectory
(C) loss of potential energy of the ball as it falls back to the ground
(D) work done by the bat on the ball
Answers
Answer:
The correct option is D
Explanation:
When an object at rest is acted upon by an external force, the motion gained (of the body) will proceed in the direction of the force. This is caused by the workdone by the bat on the ball. The motion gained mentioned earlier is the kinetic energy.
Kinetic energy can be described as the energy in a moving object.
Answer:
(D) work done by the bat on the ball
Explanation:
The principle of work-energy theorem, states that work done by the sum of all the forces acting on an object, is equal to the gain in the kinetic energy of the object.
When the baseball bat strikes the baseball which causes a displacement in the initial position of the baseball, work is said to be done which is equal to the change in the kinetic energy of the baseball.
Thus, The kinetic energy gained by the baseball as it leaves the bat is due to the work done by the bat on the ball.
A dart is thrown horizontally at a target's center that is 5.00\,\text m5.00m5, point, 00, start text, m, end text away. The dart hits the target 0.150\,\text m0.150m0, point, 150, start text, m, end text below the target's center.What was the initial horizontal velocity of the dart?
Answers
Answer:
Explanation:
Given
the range = 5.00m (distance moved in horizontal direction)
Height = 0.150m
Required
Initial velocity of the dart
Using the formula for calculating range of a projectile;
R = U√2H/g
5 = U√2(0.15)/9.8
5 = U√0.0306
5 = 0.1749U
U = 5/0.1749
U = 28.59m/s
Hence the initial horizontal velocity of the dart is 28.59m/s
Answer:
28.59
Explanation:
khan academy
A weight lifter is trying to lift a 1,500 N weight but can apply a force of only 1,200 N on the weight. One of his friends helps him lift it at a constant velocity. What force was applied to the rope
Answers
Answer:
400N is applied to the rope
Answer:
300N
Explanation:
Assuming his friend didn't throw the box, they would need a total of 1,500N to lift it, if the first person is already applying 1,200N, the only other amount of force needed is 300N to make a total of 1,500N! Simple math problem :)
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if a car has traveled 24km in 2 hours, what is the average speed?
Answers
Answer:
12
Explanation:
----------------............
Using a force of 10 N, you
push a shopping cart 10 m.
How much work did
you
do?
Answers
Answer:
100 JExplanation:
The work done by an object can be found by using the formula
workdone = force × distance
From the question we have
workdone = 10 × 10
We have the final answer as
100 JHope this helps you
Select the correct answer from each drop-down menu.
What causes atoms to form covalent bonds?
The number of
In a covalent bond, two atoms are held together by the attraction between
covalent bonds that an atom can form depends on the number of
in the atom.
Answers
Answer:
YES the first option
Explanation:
two atom are held together
Answer:
In a covalent bond, two atoms are held together by the attraction between each atom and the shared electrons. The number of covalent bonds that an atom can form depends on the number of valence electrons in the atom.
EARTH SPACE SCIENCE.
I NEED HELP ASAP DUE TODAY. PLEASE 20 POINTS
Using the topographic map above, match the description to the letter that it represents.
Highest point on the map-
[ Select ]
Stream flowing to the East-
[ Select ]
Letter near the steepest slope-
[ Select ]
Letter near the flattest area-
[ Select ]
Stream flowing to the North- F
Answers
Answer:
c,e,f,d
Explanation:
The diagram below shows a force of 5N acting on an object P at an angle of 30° to the horizontal.
By drawing appropriate lines on the diagram using a ruler to determine:
a.)The horizontal component of the 5N force.
b.)The vertical component of the 5N force .
Answers
Given :
The diagram below shows a force of 5N acting on an object P at an angle of 30° to the horizontal.
To Find :
By drawing appropriate lines on the diagram using a ruler to determine:
a.)The horizontal component of the 5N force.
b.)The vertical component of the 5N force.
Solution :
Horizontal component is given by :
=F cos θ
=5 cos 30°
= 5×0.866
= 4.33 N
Vertical component is given by :
= F sin θ
= 5 sin 30°
= 5×0.5
= 2.5 N
Therefore, horizontal and vertical component are 4.33 N and 2.5 N.
Hence, this is the required solution.
please help
im on my sisters acc btw lol
Answers
Answer:
Dumbell flys - Pectoral
One Arm Rows - Latissimus Dorsi (Lat)
Pushdowns - Triceps
Machine Back Press - Shoulders
Explanation:
Four solutes are added to a solvent. All solutes have the same mass and solubility. The surface areas of four solutes are 2 mm2, 4 mm2, 6 mm2, and 10 mm2. Which solute will dissolve the quickest? 2 mm2 4 mm2 6 mm2 10 mm2
Answers
Answer:
The correct answer is D.) 10 mm2
Explanation:
i just did the test on edge 2020 and got it right
If four solutes that have the same mass and solubility are added to a solvent, the solute that will dissolve the quickest is 10mm².
What is solubility?Solubility refers to the ability of a substance called solute to form solution with another substance called solvent.
Solubility is dependent on the surface area of the solute as solutes with larger surface area tends to dissolve faster in a solvent and vice versa.
Therefore, this means that if four solutes that have the same mass and solubility are added to a solvent, the solute that will dissolve the quickest is 10mm².
Learn more about solubility at: https://brainly.com/question/15560070
know the types of peer pressure describe all of them
Answers
Answer:
Spoken Peer Pressure
Positive Peer Pressure
Direct Peer Pressure
Negative Peer Pressure
Positive Peer Pressure
Unspoken Peer Pressure
Indirect Peer Pressure
Sorry this is all I know
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A balloon drifts 140 m toward the west in 45 s; then the wind suddenly changes and the balloon flies 90 m toward the east in the next 25 s. a. What distance did it travel during the first 45 s? b. What distance did it travel during the next 25 s? c. What total distance did it travel? d. What was its average speed during the first 45 s? e. What was its average speed during the next 25 s? f. What was its average speed for the entire trip? g. What was its displacement during the first 45 s? h. What was its displacement during the next 25 s? i. What was its total displacement?
Answers
Answer:
Explanation:
Given
1 ) 140 m west in 45 s .
2 ) 90 m east in 25 s .
a )
distance travelled in first 45 s = 140 m
b ) distance travelled in next 25 s = 90 m
c ) Total distance travelled = 140 m + 90 m
= 230 m
d ) average speed in first 45 s
= distance in 45 s 45
= 140 / 45 = 3.11 m /s
e ) average speed in next 25 s
distance in 25 s / 25
= 90 / 25 = 3.6 m /s
f ) average in entire trip
= total distance / total time
= (140 + 90) / ( 25 + 45 )
= 3.28 m /s
g )
displacement in first 45 s = 140 m towards west
h )
displacement in next 25 s = 90 m towards east
i )
total displacement = 140 - 90
= 50 m towards west .
If an object has a fast velocity, the dots on a ticker tape diagram will be _____.
very long
far apart
very short
close together
Answers
Answer:
If an object has a fast velocity, the dots on a ticker tape diagram will be far apart.
Charlie's father built a tree house in their backyard. He constructed a spiral staircase around the tree trunk and installed a ladder. Which will involve more work in climbing up the tree house from the ground?
Answers
Answer:
The spiral staircase will require more work
Explanation:
This is because, work can be calculated as force (which is mass of the individual climbing the stairs in this case) multiplied by distance (or length) of the stairs. The only variable that changes in the work done while climbing any of the two (ladder or spiral staircase) is the distance and it is obvious the length of the spiral staircase will be longer; thus the spiral staircase will involve more work.
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Answers
Answer:
current trust me thoo pls
Answer:
Current
Explanation:
Right on edge ✅
In a transverse wave wavelength can be measured as the distance between a. Two adjacent crests. b. A crest and the adjacent trough. c. A crest and the resting position. d.None of the above
Answers
Answer:
a)Two adjacent crests
Explanation:
Transverse wave is a moving wave that
in which the point of oscillation is at right angle to the direction of the wave. The particle of the medium of transverse wave usually vibrate at right angle to the wave's direction in up and down movement. Wavelength can be measured in the direction the wave is going can defined as the distance between two successive crest of the particular wave. It can be calculated as Wavelength= velocity/ frequency. Which means where there is higher frequency of the wave, then there will be shorter wavelength.
Hence, transverse wave wavelength can be measured as the distance between Two adjacent crests.
CHECK THE ATTACHMENT FOR THE WAVE FIQURE
list two animals that migrate to the clearing
Answers
Plz help plllzzzzzzzz
Answers
What is the typical response of people to a government that abuses them if they are used to that government?
Answers
Answer:
when a government abuses its power its called tyranny and people might try to overthrow the government
The path of a projectile is called a ???
Answers
Answer:
Projectile motion is a form of motion where an object moves in parabolic path; the path that the object follows is called its trajectory.
Explanation:
A rock is thrown upwards at 13.5 m/s. How long does it take to fall back to the ground?
Answers
What allows us to categorize rocks into the three rock types: Igneous, Sedimentary, and Metamorphic?
Whether or not the rock melts
Involvement of sediment
Process of formation
O Magma or weathering.
Answers
Answer:process of formation
Explanation:
Disponemos de datos de presión y volumen de tres situaciones de un gas ideal que se han medido manteniendo la temperatura del gas constante representa los valores de un gráfico p-v expresa matemáticamente la ley de Boyle-Mariotte y calcula el valor de la constante
Answers
Answer:
Explanation:
This is an exercise in thermodynamics, the ideal gas equation is
PV = n R T
In this case the temperature is constant, so
n R T = cte
throughout the experiment
We can write the relationship for the three points 1, 2 and 3
P₁ V₁ = P₂ V₂ = P₃ V₃ = cte
In the attached graph we can see a graph of this relationship
the data for this graph are
V(m³) P ( Pa)
V₀ P₀
V₀/2 2 P₀
V₀/4 4 P₀
for the graph, let it be assumed that V₀ = 1 and P₀ = 1
To calculate the value of the constant s, you must know the moles of gas and the temperature at which the experiment is carried out, for example, if we have a mole of gas and room temperature (T = 300K), the constant is
n R T = 1 8,314 300
n R T = 2492.2 J
In a physics lab, students take a long piece of string and cut it into two unequal pieces. One piece is used to suspend a large weight. The second piece is tied to the bottom of the weight as seen in the diagram below. Student 1 predicts that the upper string will always break first since it has to support the weight and the applied force, while Student 2 disagrees and predicts that the shorter piece of string will always break first if you pull slowly but with enough force to exceed the strength of the string.
(a) Which aspect(s) of Student 1’s reasoning, if any, are correct? Explain your answer.
(b) Which aspect(s) of Student 2’s reasoning, if any, are correct? Explain your answer.
(c) Which aspect(s) of both Student 1’s and 2’s reasoning, if any, are incorrect? Explain your answer.
(d) The experiment is performed and both students are surprised to learn that whether
the upper or lower string breaks first depends on whether you pull slowly or with a
sudden pull. Resolve the two lines of reasoning of Student 1 and Student 2 by
explaining the results of the experiment in a clear, concise paragraph.
Answers
Answer:
(a) The aspect of the upper string supporting the weight and the applied force
Student 1 is correct because the upper string is the source of support of the large weight and the force applied to the short string reacts at the support of the long string
(b) The aspect of Student's (2) reasoning that is correct is that the shorter piece of string will always break first, however, the statement is only true for sudden pull due to the increased force experienced by the shorter string from a more rapid change in momentum
(c) The aspect of Student 1's statement that is incorrect is the that the upper string will always break first
The aspect of Student 2's statement that is incorrect is the that the shorter piece of string will always break first
(d) A string will break when subject to a force equivalent to its breaking force. The force experienced by the string increases as the rate of pull (suddenness) increases and the suddenness increases inversely with the length of the string, as such the shorter lower string will break first from a sudden pull before the force of the pull is completely transmitted to the upper string. Whereby the lower string is slowly pulled, the force is evenly transmitted to the upper string which is then taking up the load of the weight and the applied force together and is likely to break first
Explanation: