a plane is headed due east at 600 mph with winds blowing at 85 ohm in the direction s 59 calculate final ?
Answers
The airplane flies at a final speed of 604.8 miles per hour while angled 2.98 degrees east of north.
We must apply vector addition to get the aircraft's flight's final speed. The speed of the aircraft can be seen as a vector with an axis going due east and a magnitude of 600 miles per hour. A vector having a magnitude of 85 miles per hour at an angle of 59 degrees west of north can be used to depict the wind's speed.
We determine that the ultimate velocity is 604.8 miles per hour with a direction of 2.98 degrees east of north using the Pythagorean theorem and trigonometry.
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Complete question - An airplane is traveling due east with a speed of 600 miles per hour. The wind blows at 85 miles per hour at an angle of 59 degrees. Determine the final speed of the airplane's flight.
the plane's final speed is approximately 650.6 mph in the direction 6.5° south of east
Hi! To calculate the final speed and direction of the plane, we need to consider both its eastward speed and the impact of the wind. Here are the given terms:
- Plane speed: 600 mph due east
- Wind speed: 85 mph at S59°E
First, let's break down the wind speed into its eastward (x) and southward (y) components using trigonometry:
- Eastward (x) component: 85 * cos(59°) ≈ 44.1 mph
- Southward (y) component: 85 * sin(59°) ≈ 73.3 mph
Now, we can find the plane's resultant speed in both directions:
- Resultant eastward speed: 600 mph (plane) + 44.1 mph (wind) = 644.1 mph
- Resultant southward speed: 0 mph (plane) + 73.3 mph (wind) = 73.3 mph
Finally, to find the final speed and direction, we can use the Pythagorean theorem and the arctangent function:
- Final speed: sqrt(644.1^2 + 73.3^2) ≈ 650.6 mph
- Final direction: arctan(73.3/644.1) ≈ 6.5° south of east
So, the plane's final speed is approximately 650.6 mph in the direction 6.5° south of east.
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Related Questions
Why do scientists try to replicate and
duplicate a discovery?
Answers
Answer:
Replication is vital to science. It helps make science a self-correcting system. Any time a result is surprising, researchers will try to replicate it, to see if the phenomenon is dependable or just a fluke
Explanation:
A stone falls with an acceleration of 10.0 m/s?. Calculate its speed after falling for 3.5s.
Answers
Answer:
See below
Explanation:
v = a t = 3.5 s * 10 m/s^2 = 35 m/s
The pace at which an object's velocity changes is known as acceleration. where an is the acceleration, v is the object's ultimate velocity, u is its starting velocity, and t is the amount of time that has passed. The speed after falling for 3.5 s is 35 m/s.
v = u + at is the first equation of motion. Here, v denotes the end speed, u is the starting speed, a is the acceleration, and t is the passage of time. The first equation of motion is provided by the velocity-time relation, which may be used to calculate acceleration.
Here taking the initial velocity as zero, then the expression is:
v = at
v = 10.0 m /s² × 3.5 s
v = 35 m/s
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A train is accelerating at a rate of 2.0 m/s/s. If it accelerates at this rate for 30
seconds, what is the change of velocity? *
Answers
Answer:
60m/s
Explanation:
Given parameters:
Acceleration = 2m/s²
Time = 30s
Unknown:
Change in velocity = ?
Solution:
Acceleration is the rate of change of velocity with time.
Mathematically;
Acceleration = \(\frac{Change in velocity }{Time }\)
Now,
Change in velocity = Acceleration x time
So,
input the parameters and solve;
Change in velocity = 2 x 30 = 60m/s
A soccer ball is kicked horizontally off a 24.0 meter high hill and lands a distance of 33.0 meters from the edge of the hill. Determine the initial horizontal velocity of the soccer ball.
Answers
Answer:
ten minutes fakfdxjjnox
Answer:
Question:
A soccer ball is kicked horizontally off a
22.0
meter high hill and lands a distance of
35.0
meters from the edge of the hill. Determine the initial horizontal velocity of the soccer ball.
Projectile:
The projectile motion is a combination of uniform motion and uniform acceleration motion. When an object is thrown with a velocity (v) then, the horizontal component of the velocity (
v
h
) does not change with respect to time and therefore, the following relation holds valid for the horizontal motion:
S
p
e
e
d
=
S
p
e
e
d
T
i
m
e
The vertical component of the velocity (
v
v
) changes at the rate of
g
=
9.81
m
/
s
2
and therefore, the equations of motion are used to study the vertical motion of the object. These equations are customized for the vertical motion as:
v
=
u
+
g
t
s
=
u
t
+
0.5
g
t
2
v
2
−
u
2
=
2
g
s
For an object thrown with a horizontal velocity, the initial vertical component of the velocity will be zero. In that case, the vertical distance traveled by the object in time (t) will be,
s
=
0.5
g
t
2
⇒
t
=
√
2
s
g
Answer and Explanation:
Given:
Height of the hill,
H
=
22
m
The horizontal distance covered by the ball before it lands,
d
=
35
m
Calculating the time taken by the ball to hit the ground,
t
=
√
2
H
g
=
√
2
(
22
)
9.81
=
2.12
s
Calculating the initial horizontal velocity of the ball,
V
=
d
t
=
35
2.12
=
16.51
m
/
s
which is the answer.
Explanation:
How can a person best reduce the risk of sustaining permanent injuries?
- Wear protective clothing while sleeping at home.
- Secure a seat belt only when riding in the front seat.
- Wear a cracked bicycle helmet while riding a bicycle.
- Put away guns in a lockbox that is secure and in a discrete location.
Answers
Answer:
Put away guns in a lockbox that is secure and in a discrete location
Explanation: Took the test. Trust me ;)
Answer:
Put away guns in a lockbox that is secure and in a discrete location
Explanation: Just Trust Me
a particle with mass m initially at rest disintegrates into three daughter particles. if the three daughters are identical with a mass of m/5 each, and all move with the same speed, what can you say about their velocities? where does the kinetic energy come from in this process?
Answers
The speeds of three particle's daughters are the same, but their velocity should be at angle: 30⁰, 150⁰, and 270⁰ in order to produce zero total momentum. The kinetic energy after the disintegration comes from the law of conservation of momentum.
According to the law of conservation of momentum, the initial momentum and the final momentum of a system is constant.
Momentum is defined as:
P = m x v
where:
m = mass
v = velocity
In this case,
m x 0 = (m/3) . v1 + (m/3) . v2 + (m/3) . v3
The initial momentum is zero since the particle was at rest.
Hence, after disintegration, total momentum must be equal to zero too.
The speeds of three particle's daughters are the same, but their velocity should be at angle: 30⁰, 150⁰, and 270⁰ in order to produce zero total momentum.
We can write:
v1 = v ∠30⁰
v2 = v ∠150⁰
v3 = v ∠270⁰
x-components:
v1x = v cos 30⁰
v2x = v cos 150⁰ = - v cos 30⁰
v3x = 0 +
Total x-component of velocity = 0
y-components:
v1y = v sin 30⁰ = 1/2 v
v2y = v sin 150⁰ = 1/2 v
v3y = v sin 270⁰ = - v +
Total y-component of velocity = 0
Since the resultant of the velocities of its daughters are zero, the final momentum is zero.
The kinetic energy comes from the law of conservation of momentum.
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Determine the force required to move a block if the coefficient of static friction of one block and the floor is 0.35 and the coefficient of the static friction between 2 boxes is 0.25
Answers
Answer:
32.5
Explanation:
Choose the normal force acting between the object and the ground. Let's assume a normal force of 250 N .
Determine the friction coefficient. ...
Multiply these values by each other: (250 N) * 0.13 = 32.5 N .
You just found the force of friction!
5. A loaded tube of uniform cross-sectional area 2.0 cm² floats upright in water with 10.5 cm of its length immersed and then in a liquid L with 12.0 cm of its length immersed. If the density of water is 1.0 gcm³, the mass of the tube is A. 5.25 g B. 10.50 g C. 21.00 g D. 42.00 g
Answers
The mass of the loaded tube is 21 g.
option C.
What is the mass of the loaded tube?The mass of the loaded tube is calculated by applying the following formula as shown below.
mass = density x volume
The volume of the tube is calculated as follows;
V = 2 cm² x 10.5 cm
V = 21 cm³
The mass of the loaded tube is calculated as;
m = 21 cm³ x 1 g/cm³
m = 21 g
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suppose that a stream of fluid flows steadily through a horizontal pipe of varying cross-sectional diameter. neglecting viscosity, where is the fluid pressure greatest? _
Answers
In a steady flow of fluid through a horizontal pipe of varying cross-sectional diameter, neglecting viscosity, the fluid pressure is greatest where the cross-sectional diameter is smallest.
According to Bernoulli's principle, which applies to an ideal fluid flowing through a pipe, the pressure of the fluid is inversely proportional to the cross-sectional area. As the cross-sectional diameter of the pipe decreases, the area decreases, resulting in an increase in fluid pressure. Conversely, when the cross-sectional diameter increases, the area increases, leading to a decrease in fluid pressure.
Therefore, in a pipe with varying cross-sectional diameter, the fluid pressure is highest at the narrowest point or the region with the smallest cross-sectional area.
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a laser beam in air is incident on a liquid at an angle of 39.0 ∘ with respect to the normal. the laser beam's angle in the liquid is 27.0 ∘ .What is the liquid's index of refraction?
Answers
The liquid's index of refraction is 1.50 (approx.)
To solve this problem, we can use Snell's Law, which relates the angles and indices of refraction of a beam of light as it passes through different materials. The formula for Snell's Law is:
n1sinθ1 = n2sinθ2
where n1 and n2 are the indices of refraction of the two materials, and θ1 and θ2 are the angles of incidence and refraction, respectively.
In this case, we know that the angle of incidence of the laser beam in air is 39.0 degrees, and the angle of refraction in the liquid is 27.0 degrees. We also know that the index of refraction of air is approximately 1.00, since it is very close to a vacuum.
So we can plug in these values into Snell's Law and solve for the index of refraction of the liquid:
1.00 x sin(39.0) = n2 x sin(27.0)
n2 = 1.00 x sin(39.0) / sin(27.0)
n2 ≈ 1.50
Therefore, the liquid's index of refraction is approximately 1.50.
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Solve the science problem
Answers
A force F~ = Fx ˆı + Fy ˆ acts on a particle that
undergoes a displacement of ~s = sx ˆı + sy ˆ
where Fx = 10 N, Fy = −1 N, sx = 4 m, and
sy = 1 m.
Find the work done by the force on the
particle.
Answer in units of J.
Find the angle between F~ and ~s.
Answer in units of ◦
.
Answers
The work done by the force on the particle is 39J and the angle between F and s is 19.7 degree.
What is Force ?An item with mass is pulled or pushed which alters its velocity. A material that has the ability to change a body's rest or motion state is referred to as an external force. It possesses a magnitude and a direction.
Briefing:Force F = (Fx, Fy)
Displacement S = (Sx,Sy)
Fx=10N
Fy=-1N
Sx=4m
Sy=1m
F=(10,-1)N and S=(4,1)m
Work done is calculated by taking dot product of force and displacement vector:
W=F·S
W=10×4 + (-1)×1
W=40+(-1)=39J
W = 39 J
To find angle between F and s:
\(|F|=\sqrt{10^2+(-1)^2}\)
|F| = √101
|S| = √(4² + 1²)
|S| = √17
W = |F| |S| cosθ
39 = √101 √17 cosθ
θ = 19.7.
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Explain why using a ladder or plank will help to prevent damage to the
roof.
Answers
Answer:
it reduces pressure
Explanation:
use of ladder / plank makes the pressure applied to uniformly distributed to all part hence increase surface area
If, during the second analysis, the AED prompts
"no shock advised," you should:
Check the pad placement on the
person’s chest.
Reset the AED by turning it off for 10 seconds.
Resume CPR until the AED reanalyzes or you
find an obvious sign of life.
Unplug the connector from the machine.
Answers
If, during the second analysis, the AED prompts "no shock advised," you should resume CPR until the AED reanalyzes or you find an obvious sign of life.
Checking the pad placement on the person's chest and resetting the AED by turning it off for 10 seconds are not necessary in this scenario as the AED has already analyzed and determined that no shock is necessary. Unplugging the connector from the machine is also not a recommended action as it could cause further harm or delay in treatment. It is important to continue providing high-quality CPR until the AED advises otherwise or until professional medical help arrives. Allow the AED to reanalyze the person's heart rhythm as necessary, following any further prompts or instructions provided by the AED.
There is no need to reset the AED by turning it off for 10 seconds or to unplug the connector from the machine, as these actions are not part of the standard response when the AED advises "no shock."
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A simple pendulum on earth has a period of 6.0s. What is the appoximate period of this pendulum on the moon where the acceleration due to gravity is roughly 1/6 that of earth?
Answers
The approximate period of the pendulum on the moon would be approximately 3.27 seconds.
The period of a pendulum is directly proportional to the square root of the length of the pendulum and inversely proportional to the square root of the acceleration due to gravity. So, for a simple pendulum on Earth with a period of 6.0 seconds, we can calculate the length of the pendulum using the formula:
T = 2π√(L/g)
Where T is the period, L is the length of the pendulum, and g is the acceleration due to gravity. Solving for L, we get:
L = (T/2π)^2 * g
Substituting the values for T and g on Earth (6.0s and 9.8 m/s^2, respectively), we find that the length of the pendulum is approximately 1.46 meters.
To find the approximate period of the same pendulum on the moon, where the acceleration due to gravity is roughly 1/6 that of Earth (1.63 m/s^2), we can use the same formula and solve for T:
T = 2π√(L/g)
Substituting the length of the pendulum and the acceleration due to gravity on the moon, we get:
T = 2π√(1.46/1.63)
T ≈ 3.27 seconds
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if a boat is traveling a distance of 60 km at a speed of 13km/s how long will it take to reach its destination
Answers
Answer:
4.61
60/13=4.61 so that is your answer : )
help help help help help
Answers
Answer:
It is cold at saturn and far away
Explanation:
(choose )
Ramy covered a distance 3080 cm on foot. This distance is equivalent to.........
a) 0.03Km + 80cm
b) 0.3Km +8cm
c) 3Km + 8cm
d) 30Km + 80cm
Answers
Answer:
a) 0.03km + 80 cm is the right answer
if the brake pedal is spongy after brake system hydraulic repairs, you will need to bleed the brakes of any remaining trapped air in the system. group of answer choices true false
Answers
If the brake pedal is spongy after hydraulic repairs to the brake system, the brakes need to be bled. The air trapped in the system is true
If your brakes are soft or spongy, it's a good time to change or flush out your brake fluid. Flushing the brake fluid, commonly called brake bleeding, removes the air. (Brake bleeds use fluid to force air out of the brake system.) Over time, brake fluid absorbs water. The presence of air in the hydraulic system slows the system's instantaneous response, resulting in a slow actuator response and a "spongy feel". This is due to the compressibility of trapped air.
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Think about a situation at school where you or someone you know
has demonstrated grit. Describe the situation. Pls help me
Answers
Answer:
to have courage and show the strength of your character. ... A person with true grit has passion and perseverance. Goals are set and followed through.
Explanation:
for example: i had the passion and the courage to finish my school work and chores for i can go out with my friends and to get out of the house for a bit and have fun so i had the courage to finish chores from the house and do some schoolwork for i can finish ad hang out with some friends. so i had the strength to finish everything because i didn't want to be doing school work and chores any more so i had the passion to finish up quickly
wave speed is equal to: question 20 options: wave height divided by frequency. wave height divided by period. wavelength divided by fetch. wavelength divided by frequency. wavelength divided by period.
Answers
Wave speed is equal to wavelength divided by period. The wave height refers to the vertical distance between the crest (highest point) and trough (lowest point) of a wave.
The frequency refers to the number of waves that pass a certain point in a given amount of time. The wavelength is the distance between two consecutive crests or troughs of a wave. However, none of these terms are directly related to the calculation of wave speed, which is determined by dividing the wavelength by the period (the time it takes for one full wave cycle to pass a given point).
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The velocity of an object is it’s speed and __ of motion .
Answers
Answer:
direction should be the answer
On a day with complete cloud cover, what happens to the visible light headed toward Earth?
(a) The clouds reflect much of it back to space, though some still reaches the surface.
(b) It is absorbed by the clouds, which causes the clouds to heat up.
(c) It reaches the surface just as it does on a cloudless day.
Answers
On a day with complete cloud cover, the visible light headed toward Earth: The clouds reflect much of it back to space, though some still reaches the surface.
When the sun shines, the Earth's atmosphere scatters it in all directions. This is why certain sections of the Earth appear brighter than others during the day—the Sun's light has been reflected off of the ground and other objects. When the planet is completely clouded over, no light reaches Earth at all. The term "nowhere" refers to the fact that there is no such thing as a sunrise since there is no such thing as a dawn. On a cloudy day, visible light directed toward the earth is misdirected and darkened by the clouds. This is due to the fact that shorter wavelengths of visible light scatter more than longer wavelengths. Rayleigh scattering is the name given to this phenomena.
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Select the correct answer
Ballon A is either positively, negatively, or not
Balloon C is either positively, negatively, or not
The last question is either attractive or repulsive
Answers
Question 29 of 43
Which is true of infrared waves?
They have shorter wavelengths than X-rays.
They give off more energy than gamma rays.
Ο Ο Ο Ο
o They have longer wavelengths than ultraviolet waves.
They have higher frequencies than visible light waves
Answers
Infrared wave basically have shorter wavelengths than X-rays. The correct option is A.
What is infrared wave?A section of the electromagnetic radiation spectrum with wavelengths ranging from roughly 700 nanometers (nm) to one millimetre is known as infrared radiation (IR), or simply infrared (mm).
While shorter than radio waves, infrared waves are longer than visible light waves.
Infrared radiation has the ability to ease muscle tension and encourage local blood circulation.
Infrared radiation has been used in conventional medicine to treat conditions including autoimmune diseases and issues with wound healing in addition to relieving muscle pain and tension.
Infrared waves are shorter than radio waves but longer than visible light waves.
Thus, the correct option is A.
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what is the weight of a 45kg box
____ N
Answers
The weight of a \(45 kg\) box is \(441.45 N\).
Weight refers to the measure of the force exerted on an object due to the gravitational pull of the Earth.
Given the mass of the box is \(m=45 kg\).
The weight of an object (\(W\)) can be found by multiplying the mass of the object (\(m\)) by the acceleration due to gravity (\(g\)).
So, \(W=mg\).
It is known that acceleration due to gravity, \(g=9.81 m/s^2\).
Hence, the weight of the box, \(W=(45kg)\times (9.81 m/s^2)\).
\(\Rightarrow W=441.45 (kg\cdot m/s^2)\\\Rightarrow W=441.45 N\)
Therefore, the weight of the box is \(441.45 N\).
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How can you edit the light wave to increase the photosynthesis in the plant?
A) decrease the amplitude of the wavelength to increase the intensity
B) change the wavelength to the size of a bridge
C) increase the amplitude of the wavelength to increase the intensity
Answers
Answer: C) Increase the amplitude of the wavelenghth to increase the intensity.
Explanation:
calculate the phph of a solution containing an amphetamine concentration of 245 mg/l
Answers
The pH of a solution containing an amphetamine concentration of 245 mg/L needs additional information to be determined accurately.
Is it possible to calculate the pH solution with the given information?To calculate the pH of a solution, the concentration of hydrogen of hydrogen ions (H+) or hydroxide ions (OH-) is needed. The information provided in the question is the concentration of amphetamine, which does not directly indicate the pH. To determine the pH, additional data such as the concentration of acid or base present in the solution is required.
The pH scale measures the acidity or basicity of a solution based on the concentration of H+ ions. Without the necessary information, it is not possible to calculate the pH solely based on the amphetamine concentration.
The pH of a solution is a measure of its acidity or alkalinity. It is determined by the concentration of hydrogen ions (H+) or hydroxide ions (OH-) present in the solution. The pH scale ranges from 0 to 14, with values below 7 indicating acidity, values above 7 indicating alkalinity, and a pH of 7 representing neutrality.
To calculate the pH, the concentration of H+ or OH- ions must be known, as these ions directly influence the acidic or basic nature of the solution. In the case of the given question, the concentration of amphetamine does not provide the necessary information to calculate the pH.
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in what direction does the object accelerate when released with initial velocity upward?
Answers
When an object is released with an initial velocity upward, the direction of its acceleration is typically downward.
This is because the force of gravity, which acts on the object, pulls it in the opposite direction to its motion. According to Newton's second law of motion, the net force on an object is equal to its mass multiplied by its acceleration. In this case, the force of gravity acts as the net force, causing the object to accelerate downward.
The acceleration due to gravity is approximately 9.8 meters per second squared on Earth, and it acts downward towards the center of the planet. Therefore, when the object is released with an initial velocity upward, the gravitational force causes it to decelerate and eventually change direction, resulting in a downward acceleration. This downward acceleration opposes the initial upward velocity of the object until it eventually reaches its peak and starts to fall back down under the influence of gravity.
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A man on a scooter travels directly west for 50 meters, it took the man 45 seconds to reach his destination. What was his velocity?
Answers
Answer:
1.2 m/s
Explanation:
You must divide the distance by time in order to find velocity! 50/45. He was going 1.2 m/s!
Answer: 34
Explanation: