I need help, worth 40 Points!
A plane flies due north (90° from east) with a velocity of 100 km/h for 3 hours. During this time, a steady wind blows southeast at 30 km/h at an angle of 315° from due east. After 3 hours, where will the plane’s position be relative to its starting point?
*Please try to fill the data table.
Answers
Answer:
thank you
Explanation:
Split up the two given velocity vectors into horizontal and vertical components.
Plane:
p = (100 km/h) (cos(90°) i + sin(90°) j ) = (100 km/h) j
Its direction is given, 90° relative to east.
Traveling for 3 hours with this velocity results in a displacement of
p * (3 h) = (300 km/h) (3h) j = (900 km) j
meaning that this velocity contributes to a north-facing displacement of 900 km.
Wind:
w = (30 km/h) (cos(315°) i + sin(315°) j ) ≈ (21.2 km/h) i + (-21.2 km/h) j
Its direction is also given, 315° relative to east.
After 3 h, this velocity contributes to a displacement of
w * (3h) ≈ (63.6 km) i + (-63.6 km) j
meaning if the plane had no velocity of its own but somehow stayed in the air, the wind would have pushed it about 63.6 km south and 63.6 km east, which translates to a net displacement of
√((63.6 km)² + (-63.6 km)²) = 90 km
due southeast.
Putting everything together, your table displacement table should read:
. | wind | plane
velocity | 30 | 100 ... km/h
direction | 90° | 315° ... relative to east
x | 63.6 | 0 ... km
y | -63.6 | 900 ... km
The resultant vector is the sum of these, r = p + w :
r ≈ (21.2 km/h) i + (78.8 km/h) j
After 3 h, the resultant displacement is
r * (3h) ≈ (63.6 km) i + (236.4 km) j
with magnitude
√((63.6 km)² + (236.4 km)²) ≈ 244.8 km
and direction θ such that
tan(θ) ≈ (236.4 km) / (63.6 km)
θ ≈ arctan(3.714) ≈ 74.9°
So the resultant table should read
xnet | 63.6 km
ynet | 236.4 km
magnitude | 244.8 km
theta | 74.9° relative to east
Related Questions
A 30 N net force on a skater produces an acceleration of 0.6 m/s2 . What is the mass of the skater?
Answers
30 N = 0.6 m/s^2 * M
M = 30 * 0.6 = 50
This sounds wrong-
The mass of the Skater is 50 Kg.
We have a skater who is under the influence of 30 Newton of force.
We have to determine the mass of skater.
State Newton's Second law of Motion ?Newton's second law of motion states that the rate of change of momentum is directly proportional to the force applied. Mathematically-
[tex]$F\;\alpha \; \frac{dp}{dt}[/tex]
According to the question, we have -
Force on Skater - 30 N
Acceleration Produced - 0.6 [tex]m/s^{2}[/tex]
We know -
F = ma
30 = m x 0.6
m = 30/0.6 = 50 Kg
Hence, the mass of the Skater is 50 Kg
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1. Some penguins are playing turtle hockey on the frictionless ice. Ramona the penguin hits the turtle
with a force of magnitude F, and the turtle experiences an acceleration of magnitude a (Fand a are of
unknown size). Francisco the penguin hits the same turtle with a force of magnitude three times
greater than Ramona's force (3F). What will the resulting acceleration of the turtle be? Answer in
terms of a. Support your answer with reasoning and reference to Newton's Second Law.
Answers
Answer:
a' = 3a
Explanation:
Newton's Second Law gives the magnitude of the unbalanced force applied to an object as follows:
F = ma
where,
F = Force Applied
m = Mass of Object
a = acceleration
FOR RAMONA'S PUSH:
F = F
m = m
a = a
Therefore,
F = ma
a = F/m ---------------- equation (1)
FOR FRANSICO'S PUSH:
F = 3F
m = m (mass of turtle will be same)
a = a'
Therefore,
3F = ma'
a' = 3F/m
using equation 1
a' = 3a
emotional symptoms that may occur in those with a schizophrenic Disorder generally include all of the following except ______ emotion.
A. Flat
B. Appropriate
C. No
D. Inappropriate
Answers
Answer:
B
Explanation:
edge 2020
The emotional symptoms that may occur in those with a Schizophrenic disorder generally include all of the following except appropriate emotion. Hence, option (B) is correct.
What is schizophrenic disorder?Schizophrenia is a persistent, severe mental illness that has an impact on a person's relationships with others as well as their thinking, acting, and emotional expression. Despite not being as prevalent as other severe mental illnesses, schizophrenia can be the most persistent and incapacitating.
Schizophrenia patients frequently struggle to function well in relationships, the workplace, and academic settings. They can appear to have lost their sense of reality, feel afraid and withdraw. This chronic illness cannot be cured, but it can be managed with the right care.
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1. If all four switches below are turned on, which light bulb will light up? (W is wood, S is silver, and Yis yarn.)
A.Circuit A
B. Circuit B
C. Circuit C
D. Circuit D
Answers
The correct option is option (c).
The bulb in the circuit C will glow up.
Complete circuit:We know that for the light bulb to glow up, there must be finite current flowing in the circuit through the bulb.
But, for the current to flow in the circuit, first, the circuit must be complete.
As we can see in the figure provided in the question, circuit A is not complete, whereas circuit B, C, and D are complete. So from here we can reject the circuit A.
Now, the circuit B contains wood, circuit C contains silver and circuit D contains yarn. Only silver is an electrical conductor.
Therefore, circuit C is complete and current will flow through the bulb and it will glow up.
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The diagram shows the forces acting on an object at an instant of time. Which of
the following statements about the forces is true? Select one answer.
Answers
Answer:
The correct option is;
The object is in horizontal equilibrium but NOT in vertical equilibrium
Explanation:
The given given forces in the force diagram are expressed in vector form as follows;
Topmost force = 2·i + 3·j
The horizontal force = 3·i
The force at the lower section = -5·i - 2·j
Adding the forces together to find the resultant force gives;
[tex]F_R[/tex] = 2·i + 3·j + 3·j + (-5·i - 2·j) = 5·i + 3·j - 5·i - 2·j = 0·i + j = j
[tex]F_R[/tex] = j
Therefore, the horizontal component of the forces are balanced as they cancel out and the object is said to be in horizontal equilibrium
However, the object has a net total resultant force component in the positive vertical direction, the object is not in vertical equilibrium.
A stone is thrown vertically upwards. It takes 2 seconds to reach it highest point the acceleration due to gravity is 10m/s. With what velocity must it be thrown ?
Answers
Answer:
The velocity the stone must be thrown with is 20 m/s.
Explanation:
Given;
time taken for the stone to reach it highest point, t = 2 s
acceleration due to gravity, g = 10 m/s²
The maximum height reached by the stone at the given time is calculated as;
[tex]h = \frac{1}{2}gt^2\\\\h = \frac{1}{2}*10*2^2\\\\h = 20 \ m[/tex]
Determine the initial of the stone;
v² = u² + 2gh
where;
v is the final velocity of the stone at maximum height = 0
u is the initial velocity of the stone = ?
0 = u² - 2(10 x 20)
0 = u² - 400
u² = 400
u = √400
u = 20 m/s
Therefore, the velocity the stone must be thrown with is 20 m/s.
A 860g block of titanium metal has a volume of 200 cm3 and the density of 4.3g/cm^3.
What would be the density of the block of titanium metal if the volume of the block was 500 cm3 and the mass of the
block was 2150g?
Answers
Answer:
4.3 g/ cm^3
Explanation:
Mass / Volume = density . so 2150/500= 4.3 g/cm^3
What happens to the kinetic energy of a hot drink when an ice cube is put into the drink?
Answers
Answer:
Heat is kinetic energy -- the higher the temperature of a substance, the faster and farther its molecules move.
Explanation:
... Conversely, when heat transfers from your beverage to the ice and the temperature of the liquid drops, the molecules in the beverage slow down. When those molecules slow down, their kinetic energy decreases.
A falling object is said to reach a constant velocity (terminal velocity)..
a. when there is no gravitational force acting on it.
b. when there is no air resistance acting on it.
c. when air resistance equals the acceleration of gravity on it.
d. when it stops falling.
Answers
Terminal velocity is the maximum velocity attainable by an object as it falls through a fluid (air is the most common example). It occurs when the sum of the drag force (Fd) and the buoyancy is equal to the downward force of gravity (FG) acting on the object.(Wikipedia)
If forces acting on an object are unbalanced, which factor may result from an unbalanced force? A.The net force is negative. B.There is zero net force. C.The forces cancel each other out. D.There is no change in motion.
Answers
Answer:
A. The net force is negative.Explanation:
just took the test :)
Answer:
#AExplanation:
Which of the following is NOT a way that a machine makes work easier to do?
A. Change the size of a force
B. Change the type of force
C. Change the direction of the force
D. Change distance a force acts
Answers
Answer:
c
Explanation:
ur changing the way it move not to make it easier
The direction of the force, has nothing to do with how the machine will work easier. The correct option is C
A machine is any devices that make work easier. An ideal machine takes in small effort to overcome large load.
Since work has to be done in a machine, and work is the product of force and perpendicular distance, for a machine to work easier, the work done will depend on size of the force applied, the type of force applied, and also, the magnitude of the distance involved.
The direction of the force, has nothing to do with how the machine will work easier. Therefore, the correct option is C
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A ball thrown vertically upward is caught by the thrower after 2.93 s. Find the initial velocity of the ball. The acceleration of gravity is 9.8 m/s 2 . Answer in units of m/s.
Answers
Answer:
The initial velocity of the ball is 28.714 m/s
Explanation:
Given;
time of flight of the ball, t = 2.93 s
acceleration due to gravity, g = 9.8 m/s²
initial velocity of the ball, u = ?
The initial velocity of the ball is given by;
v = u + (-g)t
where;
v is the final speed of the ball at the given time, = 0
g is negative because of upward motion
0 = u -gt
u = gt
u = (9.8 x 2.93)
u = 28.714 m/s
Therefore, the initial velocity of the ball is 28.714 m/s
Which example illustrates Newton's second law?
A. A wheelbarrow remains stationary when no one pushes on it.
B. More mass is added to a wheelbarrow, and a larger force is
required to move it.
C. A person pushes a wheelbarrow, causing it to move forward.
D. The force of a wheelbarrow on the ground is equal to the force of
the ground on the wheelbarrow.
Answers
Answer:B
Explanation:
Mass
More mass is added to a wheelbarrow, and a larger force is required to move it - illustrates Newton's second law.
What is force?An object's push or pull is seen as exerting a force. The interaction of the objects produces push and pull. You can also use words like stretch and squeeze to describe force.
The definition of force in physics is: The push or pull on a mass-containing item changes its velocity.
Newton’s second law of motion states that “Force is equal to the rate of change of momentum. For a constant mass, force equals mass times acceleration."
Hence more mass is added to a wheelbarrow, and a larger force is required to accelerate, i.e., move it.
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7. In what ways has science harmed us?
Answers
Answer: At several different levels, scientific awareness will enhance the quality of life, from the routine functioning of our daily lives to global issues. In energy, conservation, agriculture, health, transportation, communication, security, economics, recreation, and discovery, science informs public policy and personal decisions.
Explanation:
Hope This Helps! : )
Cual es la fuerza de empuje que recibe un cuerpo de forma cilíndrica que mide 0.3 m de radio y 8m de altura, el cual se sumerge en alcohol si su densidad es de 790 Km/m3 tomando en cuenta la gravedad de 9.8m/seg2
Answers
Responder:
Fb = 17,5 kN
Explicación:
La expresión de la fuerza de empuje
Fb = ρgV ---------- 1
dónde
Fb = fuerza de flotación
ρ = densidad del fluido
g = aceleración debida a la gravedad
V = volumen de fluido
Paso uno:
datos dados
radio del cilindro = 0,3 m
altura h = 8m
densidad = 790 kg / m ^ 3
g = 9,8 m / s ^ 2
El volumen del cilindro se expresa como
V = πr ^ 2h
V = 3,142 * 0,3 ^ 2 * 8
V = 3,142 * 0,09 * 8
V = 2,26
El volumen es 2.26m ^ 3, el volumen del cilindro es igual al volumen de alcohol disparado
La expresión de la fuerza de empuje es
Fb = ρgV
sustituyendo tenemos
Fb = 790 * 9,8 * 2,26
Fb = 17514,26N
Fb = 17,5 kN
El extremo de una cuerda se mueve de tal manera que las partículas de la cuerda emplean 0.25 segundos para producir una vibración. ¿Cuál es el periodo? Y ¿Cuál es la frecuencia de la vibración producida
Answers
Responder:
T = 0.25 segundos
f = 4 Hz
Explicación:
Paso uno:
datos dados
se nos dice que las partículas tardan 0,25 segundos en completar una vibración
por lo tanto, el período es de 0,25 segundos
¿Qué es un período de vibración?
Un período T es el tiempo necesario para que un ciclo completo de vibración pase por un punto determinado.
la expresión para el período se da a continuación.
T = 1 / f
¿Cuál es la frecuencia de vibración?
Básicamente, se refiere a la frecuencia con la que ocurren las vibraciones.
la frecuencia es una tasa, se expresa como la inversa del período
f = 1 / T
t = 1 / 0.25
f = 4 Hz
A block is given an initial velocity of 8.0 m/s up a frictionless 28° inclined plane. (a) What is its velocity when it reaches the top of the plane? (b) How far horizontally does it land after it leaves the plane?
Answers
Answer:
A.) 8 m/s
B.) 7.0 m
Explanation:
Given that a block is given an initial velocity of 8.0 m/s up a frictionless 28° inclined plane.
(a) What is its velocity when it reaches the top of the plane?
Since the plane is frictionless, the final velocity V will be the same as 8 m/s
The velocity will be 8 m/s as it reaches the top of the plane.
(b) How far horizontally does it land after it leaves the plane?
For frictionless plane,
a = gsinø
Acceleration a = 9.8sin28
Acceleration a = 4.6 m/s^2
Using the third equation of motion
V^2 = U^2 - 2as
Substitute the a and the U into the equation. Where V = 0
0 = 8^2 - 2 × 4.6 × S
9.2S = 64
S = 64/9.2
S = 6.956 m
S = 7.0 m
a car starts from rest and accelerates to a speed of 30 m/s in a time of 3 seconds. the average acceleration of the car is
Answers
Answer:
10m/s²
Explanation:
v=u+at
30=0+a(3)
∴a=10m/s²
Answer:
10m/s^2. Just curious, what kind of car is it? Is it a lamborghini
Explanation:
The Moon has a radius of 1.7 × 106 m and a mass of 7.3 × 1022 kg. Find the gravitational field on the surface of the Moon.
Answers
Answer:
10.7*[tex]10^{6}[/tex]
Explanation:
Cody’s car accelerates from 0m/s to 65 m/s northward in 25 seconds. What is the acceleration of the car?
Answers
Answer:
v=v(initial)+at
45=0+15a
a= 3m/sec²
Explanation:
edge 2020
A cannon is fired with an initial horizontal velocity of 20 m/s and initial vertical velocity of 25 m/s. After 3s in the air, the canon hits its target. How far away was the canon from its Target?
Answers
Answer:
140.16m
Explanation:
To get the distance the cannon is away from its target, we will apply the equation of motion;
S = ut + 1/2gt²
u is the resultant initial velocity
g is the acceleration due to gravity
t is the time taken.
Given
g = 9.8m/s²
t = 3s
u = √20²+25²
u = √400+625
u = √1025
u = 32.02m/s
Substitute the values into the formula and get the distance S;
S = 32.02(3)+ 1/2(9.8)3²
S = 96.06+44.1
S = 140.16m
Hence the cannon was 140.16m away from its target
Newton's first law of motion states than an object's motion will not change
unless?
Answers
Answer:
it is hit by an external force
Explanation:
. Which color has the shortest wavelength? *
2 points
a. Violet
b. Yellow
c. Blue
d. Red
Answers
Answer:
Violet
Explanation:
Occurring to Google red has the longest while violet has the shortest. Violet is the shortest at 380 nanometers.
Answer:
violet
Explanation:
Violet has the shortest light wavelength.
Please mark brainliest. Thanks!!!!
need this answer in 30 minutes, What volume of ice is created from 200 cm3 of water?
Answers
Answer:
i think about 218 cm3
Explanation:
water expands by about 9% when it freezes so 200* 1.09=218
\
Not sure if I'm correct though
A 100 Watt lightbulb uses 360000 Joules ever hour. How many lightbulbs could be powered for one hour by the energy from the Hiroshima bomb?
Answers
Answer:
200 million electric light bulbs.
Explanation:
First, we must calculate the power of the electric bulb, for this, we use the following equation that relates the energy as a function of time.
[tex]P=E/t[/tex]
where:
P = power [W] (units of watts)
E = energy = 360000 [J] (units of Joules)
t = time = 1 [h] = 3600 [s]
[tex]P = 360000/3600\\P= 100[W][/tex]
In 1 hour 1 electric lightbulb produces 100 [W], now we need to know the amount of energy produced by the Hiroshima bomb. A search made by the internet give us the data of 20 [GW] or [Gigawatts].
We need to remember that 1 Giga = 1 x10⁹
Energy Hiroshima explosion= 20*10⁹[W]
Amount = (20x10⁹)/100
Amount = 200 x10⁶ [bulbs]
That is, we would need an amount of 200 million electric light bulbs.
Examine the diagram of the cell cycle.
Which label identifies the step labeled W?
Anaphase: chromosomes thicken
Metaphase: chromosomes thicken
Anaphase: chromosomes are pulled apart
Metaphase: chromosomes are pulled apart
Answers
Answer:
Anaphase: chromosomes are pulled apart
Explanation:
Anaphase is a very rapid phase of meiosis and mitosis where sister chromatids (during mitosis or meiosis II) or homologous chromosomes (during meiosis I) separate and migrate to opposite poles of the cell. In the image, the diagram represents mitosis (thus separation of sister chromatids).
During this phase, following a specific signal, the sister chromatids separate abruptly. They are then "pulled" by the "microtubules" towards the pole to which they are attached. Chromatids migrate rapidly at a rate of about 1 μm / min. Anaphase is usually divided into two distinct phases.
Answer:
The answer is C
Explanation:
surface?
What is the mass of an object that experiences a gravitational force of 700 N near the Earth's surface
Answers
Answer:
70kg
Explanation:
Given parameters:
Gravitational force = 700N
Unknown:
Mass of the person = ?
Solution:
The weight is gravitational force on the person and can be expressed as;
W = mg
m is the mass
g is the acceleration due to gravity = 10m/s²
So;
700 = m x 10
m = 70kg
Un montañero de 65kg de masa ha ascendido a la cima del Everest, la montaña más alta del mundo de 8848m de altura sobre el nivel del mar. Calcula el trabajo que ha realizado para subir los últimos 500m
Answers
Answer:
El trabajo realizado para subir los últimos 500 metros es 318727,5 joules.
Explanation:
Por la definición de trabajo sabemos que el montañero debió contrarrestar trabajo causado por la gravedad terrestre. Si asumimos que el cambio de la altura es muy pequeño en comparación con el radio del planeta (6371 kilómetros vs. 0,5 kilómetros), entonces podemos considerar que la aceleración gravitacional es constante y la ecuación de trabajo ([tex]\Delta W[/tex]), medido en joules, que reducida a:
[tex]\Delta W = m\cdot g\cdot \Delta z[/tex] (1)
Donde:
[tex]m[/tex] - Masa del montañero, medido en kilogramos.
[tex]g[/tex] - Aceleración gravitacional, medida en metros por segundo al cuadrado.
[tex]\Delta z[/tex] - Distancia vertical de ascenso del montañero, medida en metros.
Si tenemos que [tex]m = 65\,kg[/tex], [tex]g = 9,807\,\frac{m}{s^{2}}[/tex] y [tex]\Delta z = 500\,m[/tex], entonces el trabajo realizado por el montañero para subir es:
[tex]\Delta W = (65\,kg)\cdot \left(9,807\,\frac{m}{s^{2}} \right)\cdot (500\,m)[/tex]
[tex]\Delta W = 318727,5\,J[/tex]
El trabajo realizado para subir los últimos 500 metros es 318727,5 joules.
15. Which element will donate electrons?
nitrogen
chlorine
aluminum
sulfur
Answers
Question 3 of 10
Why do electric charges that move through a magnetic field produce an
electric current?
A. The magnetic field exerts a force on only the negative charges in
the wire.
B. The magnetic field exerts a force on only the positive charges in
the wire.
C. The magnetic field pushes negative charges and positive charges
in the same direction.
D. The magnetic field pushes negative charges and positive charges
in opposite directions.
Answers
Answer: D
Explanation: a p e x :)
Answer:
B. The magnetic field pushes negative charges and positive charges in opposite directions.