Addition of vectors:
vector u
has a magnitude of 20 and a direction of 0º with respect to the horizontal, vector v has a magnitude of 40 and a direction of 60º with respect to the horizontal.
a) Find the magnitude and direction of the resultant to the nearest whole
number.
Vector Sum:
The resultant of two vectors is simply the vector sum of the vectors. There are a handful of ways to present the resultant factor; the notation that shows the vector magnitude and direction is called the polar vector notation. An example of a vector presented in polar vector notation is
a∠θ where a is the magnitude and θis the angle that the vector makes with the horizontal axis.
Answer and Explanation:
Let's first present the vectors in rectangular vector notation.
For the vector →u of magnitude 20 and direction 0∘ to the horizontal axis, the vector is →u=^i20.
For the vector →v
of magnitude 40 and direction 60∘ to the horizontal axis, the vector is →v=^i40cos60∘+^j40sin60∘.
The resultant vector →w is the vector sum of the vectors, i.e.
→w=→u+→v
=^i20+^i40cos60∘+^j40sin60∘
=^i(20+40cos60∘)+^j(40sin60∘)
=^i40+^j20√3
For a vector ^ix+^jy, the magnitude of the vector is √x2+y2 and the direction above the horizontal axis is θ=tan−1(yx).
Let's use the formulas:
|→w|∠θ=√(40)2+(20√3)2∠tan−1(20√340)≈52.9∠40.9∘
The magnitude of the vector is about 53 units in the direction 41-degrees above the horizontal axis.
The magnitude of the resultant vector would be 60 units, and its direction will be 0°.
To find the magnitude and direction of the resultant vector when adding vectors u and v, we can use vector addition formulas:
Magnitude of the Resultant Vector (R):
R = √(u^2 + v^2 + 2uv * cosθ)
where:
u = magnitude of vector u (20)
v = magnitude of vector v (40)
θ = angle between vectors u and v (60°)
Plugging in the values:
R = √(20^2 + 40^2 + 2 * 20 * 40 * cos(60°))
≈ √(400 + 1600 + 1600)
≈ √3600
= 60
Direction of the Resultant Vector (θR):
Use the Law of Cosines to find the angle θR between the resultant vector R and vector u:
cosθR = (v^2 + R^2 - u^2) / (2 * v * R)
Plugging in the values:
cosθR = (40^2 + 60^2 - 20^2) / (2 * 40 * 60)
= (1600 + 3600 - 400) / 4800
= 1
Since cos(0°) = 1, we have θR = 0°.
So, the magnitude of the resultant vector is 60 units, and its direction is 0°.
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A delivery truck travels 18 blocks north, 10 blocks east, and 16 blacks south What is the
distance traveled and displacement? Assume all blocks are the same length
Force Unit
Answer:
Traveled north = 18 blocks
Traveled east = 10 blocks
Traveled south = 16 blocks
So total distance = (18+10+16) blocks = 44 blocks
as north and south are opposite
so traveled displacement from up to down is = (18-16) blocks = 2 blocks
and starting to east distance is 10 blocks
so using pythagoras theorem the displacement
= [tex]\sqrt{10^{2}+2^{2} }[/tex] blocks
= [tex]\sqrt{104}[/tex] blocks
= [tex]2\sqrt{26}[/tex] blocks
= 10.198 blocks (approx.)
ANS: distance=44 blocks, displacement=10.198 blocks (approx.)
Explanation:
The photo shows a sea urchin embryo. A sea urchin is a multicellular organism. جام Which two processes occur as the sea urchin embryo grows? A. The embryo's cells grow larger in size. B. The amount of DNA in the embryo's body cells decreases. C. The total number of cells in the embryo's body decreases. D. The embryo's cells take in water and nutrients. SUBMIT
Answer:
d and a
Explanation:
The embryo's cells grow larger in size, and the embryo's cells take in water and nutrients. The correct options are A and D.
The two processes that occur when the sea urchin embryo matures, according to the information presented, are:
The embryo's cells grow in size: During the embryo's growth and development, individual cells divide and grow in size, contributing to the organism's total growth.
The embryo's cells actively take in water and nutrients from the surrounding environment: As the embryo grows, its cells actively take in water and nutrients from the surrounding environment to support metabolic processes and offer the essential resources for growth and development.
Thus, choices A and D represent the proper processes that occur while the sea urchin embryo develops.
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which type of energy is stored in chemical compounds and released in chemical reactions?
Answer:
potential
Explanation:
How many newtons does a 5-kg backpack weigh on Earth?
is my answer correct?,
“gains electric potential energy”
if not, what’s the correct one?
pls help
sometimes you just gotta take some risks in life. go with that answer
what is the acceleration caused by gravity on earth
Answer:
Explanation:
It's 9.8 m/s^2
explain why so much thermal energy is released in a chain reaction
Answer:
It is the chain reaction process that is used in reactors and nuclear weapons to generate a large number of fissions. In a reactor, the propagation of fissions takes place in a controlled manner, in a nuclear weapon in an uncontrolled, explosive manner.
The products of nuclear fission are usually accompanied by two to three secondary, free neutrons which can be absorbed later by other fissile nuclei. These absorptions in turn lead to further fissions, then to the production of other neutrons etc ..., a process commonly called chain reaction.
a matieral through which charges can flow through easily is known as what?
Answer:
the answer would be an electrical conductor
A force is applied to a 2.9 kg mass and pro-
duces 2.7 m/s?
acceleration.
What acceleration would be produced by
the same force applied to a 6.2 kg mass?
Answer in units of m/s?
Answer:
5.8 or 5.77
Explanation:
I'm not sure
Please help I’ll mark brainlyest
Answer:
10N right
Explanation:
The 10N of force acting down and up on the object cancel out.
The 15N of force pulling the force to the right is stronger than the 5N of force pulling the object left
15N - 5N = 10N
The magnitude and unit is 10N, and the direction is right
how often do industrial oxygen cylinders need to be tested
Answer:
5 years[tex][/tex]
what is lighting and lighting conductor
if an inelastic collision takes place, during the collision, what is conserved?
Answer:
An inelastic collision is a collision in which there is a loss of kinetic energy. While momentum of the system is conserved in an inelastic collision, kinetic energy is not.
a constant current flows in the conductor with a magnitude of 1.6 mA. Calculate the charge and number of electrons transferred through the straight cross-section of the conductor in 1 hour.
[tex]\\ \sf\longmapsto I=\dfrac{Q}{t}[/tex]
[tex]\\ \sf\longmapsto Q=It[/tex]
[tex]\\ \sf\longmapsto Q=0.0016(3600)[/tex]
[tex]\\ \sf\longmapsto Q=5.76C[/tex]
MY PAPER IS DUE IN AN HOUR!!!
Your challenge- Write a paper on how to build, construct, and engineer a faster roller coaster. You essay must contain 5 paragraphs minimum. Each paragraph must be 3 sentences minimum.
Potential energy, Kinetic energy, Thermal energy and friction, speed, velocity, and acceleration, and the law of conservation of energy must be the main ideas of your paragraphs
Answer:
Your kinetic energy is always proportional to the square of your speed,
no matter whether you're on a bicycle, a roller coaster, or a baby carriage.
The faster you're moving, the more kinetic energy you have.
Your potential energy doesn't depend on speed at all, only on height.
On a roller coaster, the minimum speeds are usually at the top of a hill
or a loop, so the potential energy would generally correspond to the
slowest speeds. But again, that's not because of the speed. It's because
of the height.
Explanation:
what is his angular displacement during a 1.0 s time interval?
Answer:
The angular velocity is: (2π radians) ⁄ (4.3 sec) = 1.461 rad/sec
The angular displacement is: (1.461 rad/sec)(1 sec) = 1.461 radians
Explanation:
can a tree live on another planet?
Answer:
It depends on the quality of the elements upon the planet. They require carbon dioxide and sun light to photosynthesize and perform aerobic respiration with other components. However, there are some current planets that consist plants upon their surface.
What is downward force that acts on an airplane in flight
Answer:
重力
Explanation:
这是正确的答案还是不是
I NEED THIS ANSWERED ASAP NO LINKS !!!
I need a answer that is 100% ACCURATE
Answer:
it increasees
Explanation:
its 100% acurate dont worry
When a person speaks, a sound intensity is generated that is 600 times greater than when the person whispers. What is the difference in decibels between the sound level when the person speaks compared to when she whispers
Answer:
Originally : Level = log I / I0
Currently: Level = 10 log I / I0
Level = 10 log 600 = 10 * 2.78 = 27.8
Note the term 1 bel = 10 decibels
The Sun being the largest body has the highest gravitational pull on all planets however planets do not collapse into the sun this is because of A.gravitational I'll of the Earth B. gravitational pull among the planets C. gravitational pull of Moon D. the balancing force
Answer:
A:gravitational of the earth
i need help with the second question
Answer:
c i think
Explanation:
Why do larger stars life a shortter life?
Answer:
A star's life expectancy depends on its mass. Generally, the more massive the star, the faster it burns up its fuel supply, and the shorter its life. ... A star with a mass like the Sun, on the other hand, can continue fusing hydrogen for about 10 billion years.
Explain this phase diagram by relating what you know about temperature, states of matter and
pressure.
Answer:
See explanation
Explanation:
The vertical axis corresponds to the pressure of a substance, while the horizontal axis corresponds to the temperature. The solid is the substance which contains particles of strong intermolecular force and compaction, typically ionic at a certain temperature, the liquid is the substance which contains relatively compact molecules, however lacks a particular arrangement. The gaseous substance is caused by particles with weak intermolecular forces, causing particle movement and collision with no arrangement whatsoever. The triple point as shown in the diagram, is the phrase on a diagram where each substance: solid, liquid and gas coexist. The critical point is the phase at which the/a substance is indistinguishable between liquid and gaseous states. A substance or elements state is highly dependent on its environment and it’s temperature, of which ultimately affects its kinetic energy within its particles. This is what the graph portrays and represents.
Hopefully I have aided you, and I apologize for the relatively late response.
NEED HELP!!! IF YOU ANSWER ALL QUESTIONS I WILL GIVE YOU BRAINEST!!!!! 15 POINTS!!!!
1. How does Newton’s second law of physics apply to lifting weights?
A.
Lifting weights requires the proper form and net force.
B.
Without force or motion, the weights are an unbalanced force.
C.
It requires more force to move weights, and this builds muscles.
D.
Weights are an immovable object, and the force is provided by muscles.
2. Why would oxygen levels make a difference in athletic performance?
A.
Muscles need oxygen to function well.
B.
It is just one biometric that is studied.
C.
Oxygen is important for everyone, not just athletes.
D.
Athletes require less oxygen than those who are less active.
3. Which is an example of the study of physics and the human body?
A.
determining the optimum resting heart rate
B.
testing the impact of a car crash on the body
C.
calculating how to beat an existing sports record
D.
training warehouse workers on how to properly move boxes
4. The laws of motion do NOT apply to the human body.
A.
True
B.
False
PLEASE NO LINKS
Answer:
1 is A
2 is A
3 is B
4 is B
Explanation:
number three is a dead giveaway
Question pictured below
pls answer the question I will make you as brainiest
Answer:
Answer in the drawing. Please mark me brainliest
A golf ball resting on a tee is hit, and its velocity changes from 0m/s to 50 m/s traveling down the fairway in 5 seconds. What was the golf ball's acceleration?
Answer:
Explanation:
55m/s
NEED HELP!!! IF YOU ANSWER ALL QUESTIONS I WILL GIVE YOU BRAINEST!!!!! 15 POINTS!!!!
1. Alana wants to add some eccentric exercise to her routine. She has heard that pull ups are good, but she does not have a lot of upper body strength and thinks that is going to be too challenging. She wonders if she can start by just hanging on at the top with her chin above the bar and holding that pose to get the benefits. What is the BEST response to Alana?
A.
Any activity that works the arms is eccentric exercise.
B.
That might build strength, but it is not eccentric exercise.
C.
She will get all of the benefits because grasping the bar key.
D.
She needs to do something else as pull-ups are not eccentric exercise.
2. Trina has a family history of thyroid issues, and it has caused many of her family members to gain weight, which is a common side effect. She is worried that she may develop thyroid problems one day but does not think that exercise will help since it is a gland, not a muscle. She thinks that this means that it cannot be targeted and strengthened. What is the BEST response to Trina?
A.
Isometric exercises strengthen the thyroid gland.
B.
If a condition runs in her family, she will get it no matter what.
C.
There is very little that she can do to improve the health of her thyroid.
D.
It cannot be specifically targeted, but exercise will help it function better.
3. Amari has been exercising regularly and she is really starting to feel the benefits. Overall, she has more energy and just feels better about herself. She has started volunteering for things that she otherwise would have been too shy to do. Could this newfound confidence be a result of her good habits?
A.
Yes, she looks better, so she feels better.
B.
Yes, she is producing more testosterone.
C.
No, she has probably just matured a little.
D.
No, exercise does not have psychological effects.
PLEASE NO LINKS
Answer:
1.A
2 .B
3 A
Explanation:
1.A eccentric excercises works the arms
2.B- if a condition runs in her family there are possibilities that she'll get it because it runs in the genes of her family
Paula has walked in a straight line, 30.5° north of west, for 1650 meters. How far south and east should she walks to return to her original location
