Answer:
Explanation:
The magnitude of a vector is the length of the vector. The magnitude of the vector a is denoted as ∥a∥. See the introduction to vectors for more about the magnitude of a vector.
Formulas for the magnitude of vectors in two and three dimensions in terms of their coordinates are derived in this page. For a two-dimensional vector a=(a1,a2), the formula for its magnitude is
∥a∥=a21+a22‾‾‾‾‾‾‾√.
For a three-dimensional vector a=(a1,a2,a3), the formula for its magnitude is
∥a∥=a21+a22+a23‾‾‾‾‾‾‾‾‾‾‾‾√.
The formula for the magnitude of a vector can be generalized to arbitrary dimensions. For example, if a=(a1,a2,a3,a4) is a four-dimensional vector, the formula for its magnitude is
∥a∥=a21+a22+a23+a24‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√.
1.
A student pushes against a wall with 20 N of force and the wall does not move. In this situation, the
wall exerts -
A.
A.20 N of force in the same direction as the push.
B.20 N of force in the opposite direction of the push.
C.less than 20 N of force.
D.more than 20 N of force.
Answer:
B
Explanation:
This is a balanced force. In a balanced force, nothing happens.
Choose all the answers that apply.
Check all the statements that are correct.
An independent variable is the variable which is changed.
The dependent variable is the variable which is observed as a result of the change.
If data can be repeated, it cannot be trusted.
Experiments are usually published to communicate findings to the scientific community.
Disproving a hypothesis means it cannot be tested again.
Answer: An independent variable is the variable which is changed. Experiments are usually published to communicate findings to the scientific community.
Disproving a hypothesis means it cannot be tested again.
Explanation: i hoped that helped.
A tourist wishes to catch a train in 1.2 hours, which is 115 km away. If she spends the first half-hour going 90km/h, how fast will she need to go to get to station on time?
Answer:
100km/hr
Explanation:
From the problem statement we know that distance of the trip is 115km
Expected time for the trip = 1.2hrs
→ If she spends the first half-hour going 90km/hr,
Here time = 0.5hr
speed = 90km/hr
The distance covered;
Distance covered = Speed x time
Distance covered = 90 x 0.5 = 45km
→The remaining distance will be:
Total distance - distance covered
115km - 45km = 70km
→ The remaining time;
1.2hr - 0.5hr = 0.7hr
Speed = [tex]\frac{distance}{time}[/tex]
Insert the parameters and solve;
Speed = [tex]\frac{70}{0.7}[/tex] = 100km/hr
For the remaining lap, the tourist must travel at a rate of 100km/hr to catch up.
The diagram below shows the velocities of two runners.
11 m/s west
Runner 1
5 m/s east
Runner 2
From the frame of reference of runner 1, what is the velocity of runner 2?
O A. 5 m/s east
O B. 6 m/s east
C. 16 m/s west
O D. 16 m/s east
Answer : 16 m/s east
Explanation: Trust the process!!
From the frame of reference of runner 1, the velocity of runner 2 will be D) 16 m/s east
What is relative velocity ?
The relative velocity is defined as the velocity of an object with respect to another observer
When two bodies are moving in opposite directions , relative velocity get added and if bodies are moving in same direction , relative velocity will get subtracted .
From the frame of reference of runner 1, the velocity of runner 2 will be
v (relative) = v1 + v1
v1 = velocity of runner 1 = 11m/s west
v2 = velocity of runner 2 = 5m/s
v = 11 + 5 = 16 m/s
correct answer will be O D. 16 m/s east as runner 2 is running in east direction
learn more about relative velocity
https://brainly.com/question/12109673?referrer=searchResults
#SPJ2
In the human circulatory system, arteries carry blood away from the heart to different parts of the body. Veins carry blood from different parts of the body back to the heart. A scientist claims that the greater the amount of exercise a person performs, the greater the amount of oxygen (O2) the body uses. He records the oxygen concentration in the blood of people while they are riding an exercise bike. The graphs show the results of this investigation.
a. Identify at least two systems within the human body that work together during exercise.
b. Explain how the evidence from the data in the graphs supports or does not support the scientist’s claim.
Answer:
There are many different systems involved in when we exercise, the three main ones are the Respiratory system which is involved in breathing the circulatory system which is about circulation of blood around the body and finally the muscular system and finally the Muscular system which is about how we move.
Explanation:
If the data consistently do not support the hypothesis, then CLEARLY, the hypothesis is NOT a reasonable explanation of what you are investigating. The hypothesis is rejected, and we search for a new interpretation, an new hypothesis that supports the experimental data
Respiratory and circulatory systems are the two systems within the human body that work together during exercise.
How does the respiratory and circulatory systems work together during exercise?The respiratory system:
allows the exchange of gases intake of oxygen and exhalation of carbon-dioxide.oxygenation of blood at the lungs.The circulatory system:
transports deoxygenated blood to the lungs for oxygenation.delivers oxygenated blood to the appropriate tissue.Hence, during exercise more oxygen is used by the body.The claim by scientist is true?During exercise:
breathing rate increases from about 15 times per minute to roughly 40–60 times per minute.heart rate also rises, providing more oxygen to reach your muscles and allowing them to continue moving.To learn more about respiratory system, circulatory system, blood, exercise, and oxygen here,
https://brainly.com/question/13128077
#SPJ2
PLZ HELP ME
1. A stone is thrown horizontally from a cliff 30m high with an initial speed of 20m/s. How far from the cliff does the stone strike the ground?
2. A ball rolls off the edge of a table 1.44m above the floor and strikes the floor at a point 2m horizontally from the edge of the table.
A) What is the time the ball was in the air?
B) What is the initial velocity of the ball?
3. A golfer hits a ball and gives it an initial velocity of 40 m/s, at an angle of 30º above the horizontal.
A) How long does the ball stay in the air?
B) How far horizontally (the range) does the ball travel before hitting the ground?
Answer:
1. The stone will strike the ground 49.46 m from the base of the cliff
2. A) Approximately 0.542 seconds
B) Approximately 3.69 m/s
3. A) The time the ball spends in the air is approximately 4.0775 s
B) The horizontal range is approximately 141.25 m.
Explanation:
1. The time it takes the stone to land is given by the equation, t = √(h/(1/2 × g)
∴ t = √(30/(1/2 × 9.81)) ≈ 2.473 seconds
The horizontal distance covered by the stone in that time = 20 × 2.473 ≈ 49.46 m
The stone will strike the ground 49.46 m from the base of the cliff
2. A) The time the ball spends in the air = t = √(h/(1/2 × g)
∴ t = √(1.44/(1/2 × 9.81)) ≈ 0.542 seconds
B) The initial horizontal velocity, u = Horizontal distance/(Time) = 2/0.542 ≈ 3.69 m/s
The initial horizontal velocity ≈ 3.69 m/s
3. A) The time the ball spends in the air is given by the following equation;
t = 2 × u × sin(θ)/g = 2 × 40 × sin(30)/9.81 ≈ 4.0775 s
t ≈ 4.0775 s
B) The horizontal range, R, of the ball is given by the equation for the range of a projectile as follows;
[tex]Range, R = \dfrac{u^2 \times sin (2 \cdot \theta) }{g}[/tex]
Substituting the known values, gives;
[tex]Range, R = \dfrac{40^2 \times sin (2 \times 30^{\circ}) }{9.81} \approx 141.25 \ m[/tex]
The horizontal range ≈ 141.25 m.
What are greenhouse gases? Can you name any?
A 30 kg object has a frictional force of 60 N. It's coefficient of friction must be...?
A) 0.2
B) 2
C) .002
D) 20
mass = 30kg
frictional force = coefficient of friction * (mass * g)
g = 9.8 m/s^2
So:
60N = x * 294 N
x = 60 N / 294 N = 0,2
Which Box in the diagram above, should this picture go into?
Box A
ООО
O Box B
O Box C
Plzz answerr idk
Jen had an average speed of 2.5 m/s when hopping on one foot. If she hopped for 5.0 seconds, for what distance was she hopping?
Explanation:
distance
speed =_________
time
distance = speed × time
= 2.5 × 5.0
distance = 12.5 m
Explain how bar graphs can show comparisons between 2 topics.
Answer:
A bar chart is typically used for the comparison of informations obtained from a data collection by representing each value (information) with rectangular bars respectively.
Explanation:
A bar chart also known as a bar graph can be defined as the graphical representation of data (informations) by using vertical columns or rectangular bars. When a data set is observed, a bar chart can be used to graphically represent or record the total or overall amount of information contained therein. Generally, bar charts are used for the comparison of informations obtained from a data collection by representing each value (information) with rectangular bars respectively.
The bar graph has a x-axis and a y-axis used to represent the various categories of data collected.
In this scenario, the x-axis is used to denote the points earned by the teams while the y-axis is used to denote the seasons as seen in the image attached.
Hence, point scores by team (Team A, B and C) per seasons (2002, 2003, 2004 and 2005) can best be compared through the use of a bar chart (graph).
Answer:
Answer above is correct i only put this:
Explanation:
A bar chart is typically used for the comparison of informations obtained from a data collection by representing each value (information) with rectangular bars respectively.
the person is not able to see the far lying object clearly. which type of lens will the doctor prescribe him give reason?
Answer:
correction of farsightedness uses a converging lenses that compensates for the under convergence by the eye. the converging lens produces an image farther from the eye than the object so that farsighted can see it clearly.
Salmon often jump waterfalls to reach their breeding grounds. Starting downstream, 3.04 m away from a waterfall 0.585 m in height, at what minimum speed must a salmon jumping at an angle of 41.7 ◦ leave the water to continue upstream? The acceleration due to gravity is 9.81 m/s 2 . Answer in units of m/s.
Answer:
V₀ = 5.47 m/s
Explanation:
The jumping motion of the Salmon can be modelled as the projectile motion. So, we use the formula for the range of projectile motion here:
R = V₀² Sin 2θ/g
where,
R = Range of Projectile = 3.04 m
θ = Launch Angle = 41.7°
V₀ = Minimum Launch Speed = ?
g = 9.81 m/s²
Therefore,
3.04 m = V₀² [Sin2(41.7°)]/(9.81 m/s²)
V₀² = 3.04 m/(0.10126 s²/m)
V₀ = √30.02 m²/s²
V₀ = 5.47 m/s
Tyler drives 50km north. Tyler then drives back 30km south. What distance did he cover? What was his displacement?
Answer:
80 km is distance and 30km north is displacement
Explanation:
distance= 50+30=80km
displacement= 50-20=30
his displacement is 30km north
When Tyler drives 50 km north and then drives back 30 km south, we have:
1. The distance that he covers is 80 km.
2. Tylor's displacement is 20 km.
1. The distance is a scalar that is given by the sum of the kilometers traveled by Tyler as follows:
[tex] d = d_{1} + d_{2} = 50 km + 30 km = 80 km [/tex]
Hence, the distance traveled by Tyler was 80 km.
2. The displacement is a vector that depends on the direction of travel. Takin the north direction as positive we have:
[tex] x = x_{1} + x_{2} = 50 km + (-30 km) = 20 km [/tex]
Therefore, Tyler's displacement is 20 km.
You can find more about displacement and distance here: https://brainly.com/question/4307551?referrer=searchResults
I hope it helps you!
A rocket, initially at rest on the ground, accelerates straight upward from rest with constant (net) acceleration 53.9 m/s2 . The acceleration period lasts for time 6.00 s until the fuel is exhausted. After that, the rocket is in free fall.
Find the maximum height ymax reached by the rocket. Ignore air resistance and assume a constant free-fall acceleration equal to 9.80 m/s2 .
Answer:
maximum height reach by rockect =970.2metre
Explanation:
find acceleration of block and tension in strings if m1 =8kg m2= 4kg and take g=10m/s²
[tex]\sf{m_1}[/tex] = 8kg
[tex]\sf{m_2}[/tex] = 4kg
g = 10m/s²
[tex]\large\bold{\underline{\underline{To \: Find:-}}}[/tex]→Acceleration of block
→Tension in strings
[tex]\large\bold{\underline{\underline{Solution:-}}}[/tex]Let, the two equation will be ,
[tex]\leadsto[/tex] 8g - T = 8a ..... Equation no (1)
[tex]\leadsto[/tex] T - 4g = 4a ..... Equation no (2)
Putting the value of equation no (1) and (2) we get,
[tex]\implies[/tex] 4g = 12a
[tex]\implies[/tex] 4 × 10 = 12a
[tex]\implies[/tex] 40 = 12a
[tex]\implies[/tex] a = [tex]\sf\dfrac{\cancel{40}}{\cancel{12}}[/tex]
[tex]\dashrightarrow[/tex] a = [tex]\dfrac{10}{3}[/tex]
Again, we have to putting the value of a in the equation no (2) we get,
[tex]\implies[/tex] T - 4g = 4 × [tex]\dfrac{10}{3}[/tex]
[tex]\implies[/tex] T - 4 × 10 = 4 × [tex]\dfrac{10}{3}[/tex]
[tex]\implies[/tex] T - 40 = [tex]\dfrac{40}{3}[/tex]
[tex]\implies[/tex] T = [tex]\dfrac{40}{3}[/tex] + 40
[tex]\implies[/tex] T = [tex]\dfrac{40 + 120}{3}[/tex]
[tex]\dashrightarrow[/tex] T = [tex]\dfrac{160}{3}[/tex] N
[tex]\therefore[/tex] Acceleration of block = [tex]\dfrac{10}{3}[/tex] m/s².
And, Tension in strings = [tex]\dfrac{160}{3}[/tex] N
How much time will it take for a truck to travel 20 meters if it is traveling at 4 m/s?
Answer:
The answer is 5 sExplanation:
The time taken can be found by using the formula
[tex]t = \frac{d}{v} \\ [/tex]
d is the distance
v is the velocity
From the question we have
[tex]t = \frac{20}{4} \\ [/tex]
We have the final answer as
5 sHope this helps you
in the movie "gravity" - Why did the escape pod get stuck and pulled back?
Answer:
because nono gravity
Explanation:
no gravity
A fire is burning in a fireplace. Where is the radiation?
A. You touch warm bricks next to the fireplace
B. You can feel the heat from across the room
C. Heat is rising up from the chimney
400 N of load can be overcome by an effort of 50 N by using a lever. Calculate the mechanical advantage of the lever.
Answer:
load (l)=400N
Effort(E)=50N
mechanical advantage (MA)= load ÷Effort
(ma)=400÷50
(ma)=8
Explanation:
I copy pasted from the answer from the same question. Remember to first check if ur question is there
Ashley is flying a plane that has to reach a gradient of 360m/km in order to take off and not crash. Her goal is to travel from sea level to an elevation of 1000m at a distance of 2.8km. Calculate the gradient of Ashley’s flight and determine if she will crash!
Answer:
She is likely to crash because her flight gradient is lesser than the flight gradient required gradient to avoid crashing
Explanation:
The given parameters are;
The required gradient of the plane Ashley is flying needs to reach in order to take off and not crash = 360 m/km
The initial elevation of the plane Ashley is flying = Sea level = 0 m
The goal Ashley intends to make = Elevation of 1000 m at 2.8 km. distance
∴ Ashley's goal = Traveling from sea level to 1000 m at 2.8 km horizontal distance
We have;
The gradient = Rate of change of elevation/(Horizontal distance)
Therefore;
The gradient of Ashley's flight = (1000 - 0)/(2.8 - 0) = 357.143 m/km
The gradient of Ashley's flight ≈ 357.143 m/km which is lesser than the required 360 m/km in order to take off and not crash, therefore, she will crash.
1. In your own words explain what happens at a subduction zone. 2. In your own words explain what happens at a mid-ocean ridge. 3. At a subduction zone what causes magma to rise?
Answer:
1. The subduction zone serves as the meeting point for two tectonic plates.
2. At the Mid- Ocean ridge, decompression melting occurs.
3 What causes the magma to rise is the increase in pressure caused by collection of gases by the magma.
Explanation:
Subduction zone is define as a zone where tectonic plates ( an oceanic plate slides beneath a continental plate) meets and contributes to the rise of magma to the surface in geological sciences.
At the Mid - Oceanic ridge, decompression melting occurs. As mantle ascends beneath the mid-ocean ridge, less and less rock lies above it, so large pressure changes occur, which leads to melting. The melt is less dense than the solid, and rises to the surface to form the oceanic crust.
At the subduction zone the magma that is formed is usually made up of silica rich lava. Thick silica rich magma does not release the gasses very easily so they build up inside the magma chamber. As the gasses collect in the chamber, the pressure rises. It is possible for the pressure to rise so much that the chamber cannot contain the magma and it erupts explosively.
Plyometrics can help a person maintain cardiorespiratory fitness. Please select the best answer from the choices provided. T F
Answer: IT IS TRUE
Explanation:
Hope this helps
Plyometrics can help a person maintain cardiorespiratory fitness T
It is TRUE that plyometrics can help a person maintain cardiorespiratory fitness
PlyometricsPlyometrics is a type of exercise training that works with the principle of using speed and force of different movements to build muscle power.
Plyometrics include different types of exercises such as pushups, throwing, running, jumping, and kicking.
Learn more about plypmetrics:
https://brainly.com/question/1526420
A rock falls off a cliff that is 82 m high. How fast is the rock moving when it hits the ground?
Answer:
40.1m/s
Explanation:
This is a kinematics problem
x = 82m
a = -9.8m/s^2
v(initial) = 0
Find: v(final)
Using kinematics equation:
vf^2 = vi^2 + 2a(delta)x
vf^2 = 0 + 2*(-9.8)*(82)
vf = sqrt(1607.2) = 40.09m/s
The is traveling with a velocity of 40.1m/s when it hits the ground.
to calculatw the power produced by a force, the size of the force must be known. What else needs to be known to calculate the power
-- The distance the force moved through
-- How long the force lasted
The other thing we need to calculate the power is the "Velocity".
A quantity of labor or work done to be accomplished within a particular period of timeframe is determined as power. It is denoted by "P".According to the given query, we are talking about the relation between Power and Force. Along with simple instances where such an item is moved at continuous speed by a constant force.
The relation can be shown as:
→ [tex]P= Fv[/tex]
where,
P = PowerF = Forcev = VelocityThus the above is the right response.
Learn more about Power here:
https://brainly.com/question/11380506
A satellite was in two separate crashes. In both crashes, the satellite had the same mass. Engineers want to know about the speed and direction of the satellite after the crashes. Why would the crash affect the motion of the satellite, and which crash caused a greater change in motion for the satellite?
Answer & Explanation:
Crashing into the asteroid would cause the satellite to slow down, stop, or reverse direction, because it is a force in the opposite direction to the satellite's motion. Whichever crash was a stronger force would cause it to change motion more. It takes a stronger force to change the velocity of a more massive object.
How does changing the initial mass of the copper affect how much heat energy it has?
Answer:
Increasing the temperature of the copper made the final temperature increase and decreasing the temperature of the copper made the final temperature decrease. ... How does changing the initial mass of the copper affect how much heat energy it has? The more copper, the more heat energy.
Explanation:
Decreasing the temperature of the copper made the final temperature decrease. But the mass remains constant.
What is heat energy?Heat is energy that is transmitted from one body to another as a result of a temperature differential. When two bodies of different temperatures come into contact,
Thermal expansion is the tendency of matter to alter its form, area, volume, and density in response to a change in temperature.
Thermal expansion is caused by heating. The mass remains constant. The loudness rises. As a result, the density drops.
To learn more about heat energy refer to the link;
https://brainly.com/question/1495272
Scientists have invented the equipment to harness the power of lighting for energy use. True or false
hey pls help with this HDJSJDH im rlly bad at this kinda stuff :,) i'll mark the correct answer brainliest
Answer:
A. Cue, White Ball, Blue Ball
Explanation:
Visualize in which order things are being hit
43
Select the correct answer.
According to the law of reflection, what is the relationship between the angle of incidence and the angle of reflection?
OA. The angle of reflection is twice the angle of incidence.
OB.
The angle of reflection is half the angle of incidence.
OC. The angle of reflection is equal to the angle of incidence.
OD. The angle of reflection is independent of the angle of incidence.
ОЕ.
The angle of reflection is always perpendicular to the angle of reflection.
Reset
Next
Answer is c, they are equal:
Explanation: