An airplane flies 33 m/s due east while experiencing a tailwind
of unknown velocity due north. The resultant velocity is
determined to be 35.11 m/s northeast. What is the velocity of
the northern tailwind?
Explanation:
Use Pythagorean theorem.
v² = vₓ² + vᵧ²
(35.11 m/s)² = (33 m/s)² + vᵧ²
vᵧ = 12 m/s
The velocity of the northern tailwind is 12 m/s.
To find the velocity of northern tailwind, the given values are,
Resultant velocity v = 35.11 m/s,
Velocity of plane vₓ = 33 m/s.
What is the resultant velocity?The resultant velocity of the plane is the sum of the velocities of the plane and the wind with the consideration of their directions. The sum of the vector forces on an object is equal to the scalar product of the object's mass and its acceleration vector.The plane heads east and the wind being a tailwind also heads north east. Hence, we add their values using Pythagorean theorem,Use Pythagorean theorem.
v² = vₓ² + vᵧ²
(35.11 m/s)² = (33 m/s)² + vᵧ²
vᵧ² = 35.11² - 33²
vᵧ² = 1232.71 - 1089
vᵧ = √143.71
vᵧ = 11.98 m/s
which can be vᵧ = 12 m/s
Hence, the velocity of the northern tailwind is vᵧ = 12 m/s.
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Two point charges +3 micro coulomb and +8 micro coulomb repel each other with a force of 40N . If a charge of -5 micro coulomb is added to each of them, then the force between them will become?
Answer:
1 N
Explanation:
Given that two point charges +3 micro coulomb and +8 micro coulomb repel each other with a force of 40N.
Let us first calculate the distance between the two point charges
F = (KQq)/r^2
Where K = 9.0 × 10^9Nm^2C^-2
40 = (9×10^9 × 3×10^-6 × 8×10^-6)/r^2
Make r^2 the subject of formula
r^2 = 0.216/40
r = sqrt (5.4^-3)
r = 0.0735 metres
If a charge of -5 micro coulomb is added to each of them, then the force between them will become?
Using the same formula again
F = ( KQq)/r^2
Where Q = 8 - 5 = +3 × 10^-6 C
q = 3 - 5 = - 2 × 10^-6 C
F = ( 9×10^9 × 3×10^-6 × 2×10^-6 )/5.4×10^-2
F = 0.054/0.054
F = 1 N
The force of attraction between the two point charges will be 1 N
A micrometer is used to measure the diameter of a length of copper wire. The zero error and scale reading are as shown.
A - what is the zero error of the micrometer?
B - what is the correct diameter wire?
A micrometer is used to measure the diameter of a length of copper wire. The zero error and scale reading are as shown.The correct answer should be the micrometer.
What is micrometer?The micrometer is an instrument that is capable of measuring the component of an object to very high precision. It is used to obtain accurate measurements in engineering.
In the case of the copper wire, the diameter of 0.3 mm was an approximation and a more accurate measure of the diameter would be obtained by using the micrometer.A micrometer is used to measure the diameter of a length of copper wire. The zero error and scale reading are as shown.The correct answer should be the micrometer.
Therefore, A micrometer is used to measure the diameter of a length of copper wire. The zero error and scale reading are as shown.The correct answer should be the micrometer.
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Which source of energy would you prefer for cooking and why?
Answer:
gas
Explanation:
because It is fast and easy
What is the volume of 27 g of aluminium?
Answer:10cm3
Explanation:Volume Al = (27g Al)/(2.70g/cm3 Al) = 10cm3 Al. So, 27g of Al has a volume of 10cm3. *
Answer:
Explanation:
as we know that
density=mass/volume
given mass of Al=27 g
density of Al=2.70g/cm^3
volume =mass/density
volume=27/2.70
volume=10 cm³
so 27 g of Al has volume of 10 cm³
A current of 5A flows round a circuit in 2 minutes. How much charge flows round
the circuit in this time?
Answer:
just multiply 2 time 5 a
Explanation:
why is unit of force called derived unit
Answer:
because these units are derived from combinations of two or more of the seven base units
If a fish experiences an a of 9.8m/s2 over a period of 1.84s, what was the 4v?
Answer:
It’s 18.0 m/s
Explanation:
Use acceleration formula then plug in 9.8 and 1.84s
What claim can you make about the relationship between energy and mass?
__________ is a severe condition that occurs from extreme exposure to the sun.
A. Heat stroke
B. Bulimia
C. Hypothermia
D. Sun burn
Answer:
Heat stroke
Explanation:
Which sentence describes Newton's second law?
O A. Two forces are unbalanced if they are unequal or they are not
acting in opposite directions.
O B. When the forces on an object are balanced, the object does not
move.
C. Larger net forces are required to accelerate objects that have
more mass.
D. The action force applied by one object to another is equal in
magnitude to the reaction force.
Answer: Larger net forces are required to accelerate objects that have more mass
Explanation:
A boy wants use his slingshot to shoot a water balloon into the air. His
slingshot has a spring constant of 60 N/m, and he pulls it back 1.5 m before
releasing the water balloon and launching it into the air. If air resistance can
be ignored and the water balloon has a mass of 0.5 kg, what is the
approximate maximum height that the water balloon can reach? (Recall that g
= 9.8 m/s2)
O A. 7.0 m
B. 4.6 m
C. 9.3 m
D. 13.8 m
Answer:
A. 70 m OS the correct one
The approximate maximum height that the water balloon can reach is 13.8 m, The correct option is D.
What is the conservation of energy?Conservation of energy is a fundamental principle in physics that states that energy cannot be created or destroyed, only transformed or transferred from one form to another. In other words, the total amount of energy in a closed system remains constant over time. This principle is based on the idea that energy is a fundamental property of the universe, and it is a key concept in many areas of science, including physics, chemistry, and engineering. The law of conservation of energy is used to analyze and understand a wide range of physical phenomena, from the behavior of subatomic particles to the workings of the entire universe.
Here in the Question,
The maximum height that the water balloon can reach can be found using conservation of energy. The initial potential energy stored in the slingshot is transformed into kinetic energy of the water balloon as it is launched into the air, and then into potential energy at the maximum height.
The initial potential energy of the slingshot is given by:
PE = (1/2)kx^2
where k is the spring constant (60 N/m) and x is the distance pulled back (1.5 m)
PE = (1/2)(60 N/m)(1.5 m)^2
PE = 67.5 J
At the maximum height, all of the initial potential energy is converted into potential energy due to gravity:
PE = mgh
where m is the mass of the water balloon (0.5 kg), g is the acceleration due to gravity (9.8 m/s^2), and h is the maximum height.
h = PE/(mg)
h = 67.5 J/(0.5 kg)(9.8 m/s^2)
h ≈ 13.8 m
Therefore, the approximate maximum height that the water balloon can reach is 13.8 m, which is option D.
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Can anyone help me please?
Answer: 2 PARAGRAPH ESSAY
Explanation:Flexibility and stretching: preventing sports injuries
Many may know about all the different types of sports around the world. Lots can leave serious injuries. All across the world more than 1.2 million people have been injured because of sports or maybe more than that. Most of the injuries have been kids. To prevent these injuries from happening. One thing is stretching if you don’t stretch your bones more than likely you are not into your flexibility and reflexus that for they are very weak. If there is not enough flexibility within your movement you are more than likely not able to stretch. It can help the growth within your bone as well. If you have growth in your bones then you will get less injuries. If you break a bone such as your leg or sprain there is a chance that you will have problems with that specific leg later on in life. To prevent these types of events from happening I say stretch before a sporting game. Stretching can help with the impact of your flexibility. For example, Olympic gymnasts are able to do lots of tricks because their bones have flexibility in their bones. That's not saying that they will not hurt themselves, it's just such a low risk because their bone grew strength and flexibility. Some people's bones can be very sensitive then others so it might be kind of hard for them to be flexible. Another way to help people with their bone flexibility is drinking milk. Milk helps grow your bones. This can help prevent sport injuries in many ways. Lots of people get hurt in football to be more specific because it's such a durable sport as in tough. If they drink a lot of protein and milk before a game maybe even Carbohydrates their bones will be ready for the game. Flexibility and stretching can go lots of ways when it has to do with your body. JUST STAY FIT
A rock is thrown straight upward with an initial velocity of 20 m/s where the downward acceleration due to gravity is -10 m/s^2. How long is the ball in the air before it returns to the thrower's hand?
Answer:
4 seconds
Explanation:
Given:
Δy = 0 m
v₀ = 20 m/s
a = -10 m/s²
Find: t
Δy = v₀ t + ½ at²
0 m = (20 m/s) t + ½ (-10 m/s²) t²
0 = 20t − 5t²
0 = 5t (4 − t)
t = 4
Is It true that if you drop a heavy object and a lighter object at the same time, they will both drop at the same time due to gravity?
Answer:
[tex]\huge\boxed{True.}[/tex]
Explanation:
This is true because gravity is independent of mass. Whether it's a heavy or a light object, when dropped, they both will hit the ground at the same time. The reason is that gravity does not depend on mass.
Hope this helped!
~AnonymousHelper1807What is the mass number of this atom?
Model Atom
w
A. 8
B. 16
C. 24
Answer:
C.24
Explanation:
ok...... ..........
A seal swims toward an inlet with a speed of 7.0 m/s as a current of 1.5 m/s
flows in the opposite direction. How long will it take the seal to swim
120. m?
Answer:
scees 3
Explanation:
fd4cesv 3sce3bd. s3 s3vd3 ze ze 4s d4 zr s3 d4
Sunspots are dark areas on the surface of the Sun. They mark strong magnetic fields, and more sunspots indicate that the Sun is more active and is releasing more energy. The following graph presents the average daily number of sunspots from 1900 through 1944. Each data point is the average for one month.
Notice the series of peaks and troughs in the graph. The time from one minimum (trough) to the next is called a Solar Cycle. Solar Cycles can be anywhere from 9 to 14 years long.
What can be predicted with the most certainty from this graph?
A.
The next minimum in the graph will be in 1953.
B.
The average daily number of sunspots will peak in 1949.
C.
The average daily number of sunspots in 1949 will be 80.
D.
The average daily number of sunspots will increase throughout 1945.
Answer:
D
Explanation:
study island. first answer is wrong
The average daily number of sunspots will increase throughout 1945. therefore the correct answer is option D.
What is a solar system?It is a system in which the sun's gravitational attraction causes all the planets and celestial bodies to revolve around it.
As specified in the issue statement On the surface of the Sun are spots known as sunspots. Increased sunspots imply that the Sun is more active and is producing more energy since they are a sign of strong magnetic fields.
The average daily number of sunspots from 1900 to 1944 is shown in the graph below. The average for each data point is for one month.
The graph's sequence of peaks and valleys should be noted. A solar cycle is the period of time from one minimum (trough) to the next. Solar cycles can last from nine to fourteen years.
Thus, The average daily number of sunspots will increase throughout 1945, therefore the correct answer is option D.
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1. What precaution should an acrobat athlete take to do skywalk?
2. Which car is more stable - an F1(formula one) car or a double decker - explain your answer why?
3. Describe how to measure center of mass of an irregular object.
Which of these objects could be falling with constant acceleration?
Answer:
1 and 2
Explanation:
If an object has constant acceleration, it's displacement at time t is:
Δx = v₀ t + ½ at²
For object 1:
0.44 = (0) (0.3) + ½ a (0.3)²
a = 9.78
3.14 = (0) (0.8) + ½ a (0.8)²
a = 9.81
So object 1's acceleration is approximately constant.
For object 2:
0.06 = (0) (0.3) + ½ a (0.3)²
a = 1.33
3.09 = (0) (2.1) + ½ a (2.1)²
a = 1.40
So object 2's acceleration is approximately constant.
For object 3:
0.44 = (0) (0.3) + ½ a (0.3)²
a = 9.78
3.09 = (0) (2.1) + ½ a (2.1)²
a = 1.40
So object 3's acceleration is not constant.
Which statement illustrates how engineering has influenced society?
A. Digital cameras require far less time to generate images than film cameras
do.
B. Digital cameras allow people to take more pictures and share them more
widely than film cameras did.
C. People want the cameras in their cell phones to be able to capture high-
resolution images
D. People expect that advances in imaging technology will keep up with their
needs for sharing pictures.
The statement illustrates how engineering has influenced society in that People want the cameras in their cell phones to be able to capture high-resolution images. Option C is corect.
What is a digital camera?A digital camera that creates pictures that can be saved on a computer and seen on a screen.
People want their mobile phone cameras to be able to take high-resolution pictures, which shows how engineering has affected society.
Statement B illustrates how engineering has influenced society.
Hence option C is correct.
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28.2 km equal how many meters
Answer:exactly 28200 meters
Explanation:
what is the volume of a mineral
Answer:
calculate the volume of each sample by subtracting the intial water volume from the volume after the sample was added . Record the volume of each sample on your chart in mililiters(ML).
Explanation:
Given a graph of volocity v . Time what does a horizontal line represent
Answer:
Acceleration
Explanation:
For example, if the acceleration is zero, then the velocity-time graph is a horizontal line (i.e., the slope is zero). If the acceleration is positive, then the line is an upward sloping line (i.e., the slope is positive).
what is the difference between a physical quantity and a unit
Answer: What is the difference of physical quanity and a unit?
Explanation: If you are working science or math problems, the answer to this question is that quantity is the amount or numerical value, while the unit is the measurement. For example, if a sample contains 453 grams, the quantity is 453 while the unit is grams.
hey can anyone help me out in dis pls!
Answer:
D
Explanation:
Answer:
B
Explanation:
increasing the waters temperature
see attached file below
Explanation:
The velocity vs time graph is linear from 0s to 2s, so the acceleration is constant.
1. Why are the speed values in the data table called "average" instead of "instantaneous"?
Answer:
The speeds are called average because they are a calculation of a course of distance divided by a duration of time.
Explanation: Instantaneous speed is when the speed is instant for instance when driving a car and if you would want to check how fast that you are moving you would instantly look at the speedometer that is what we call instantaneous speed
A young woman suffered from a severe injury to her pelvic cavity. What potential problem would her doctors be most likely concerned about? difficulty digesting food inability to produce oxygenated blood inability to breath normally difficulty having children
I'm Pretty Sure The Answer Is - Difficulty Digesting Food Inability
Hopr This Help's
Answer:
Difficulty having children
Explanation:
Just took the test.
Horizontal line on a position time graph indicate that the object is
The position- time graph of an object gives the velocity of the object. If the graph shows a horizontal line along the x axis, the object is stationary.
What is velocity?Velocity of an object is a physical quantity measuring the distance covered per unit time. It is a vector quantity and thus have a magnitude and direction. Velocity is thus, the ratio of change in distance to the change in time.
v = dx/dt.
A moving object is always associated with certain velocity. Which can be constant or changing. The plot of position v/s time gives the change in position with respect to time. Thus, velocity can be calculated from this.
If the position -time graph shows a horizontal line means there is no change in distance with time and the velocity of the object is zero. Thus, the object is stationary or at rest.
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