Lindsay is planning a flight from St. Catharines to Hamilton, which lies due west of St. Catharines. Her aircraft flies at a speed of 200 km/h in still air.A wind of 50.0 km/h is blowing from [W 608 N]. In what direction must sheaim the airplane to fly directly to Hamilton?

Answers

Answer 1

Answer:

Lindsay is planning a flight from St. Catherines to Hamilton, which lies due west of St. Catharines. Her aircraft flies at a speed of 200 km/h in still air. A wind of 50.0 km/h is blowing from [W 60.0� N]. In what direction must she aim the airplane to fly directly to Hamilton?

------------

It's a triangle problem.

The long side is the 200 km/hr, at an angle to be determined.

-----

1 side is 50 km/hr at an angle of -60 degs or 300 degs.

The 3rd side's length is not known, but it's at an angle of 180 degs (along the x-axis).

Answer 2

Lindsay has to fly this plane towards this direction [W 12.5° S] to get to Hamilton.

From this question, the plane is still up in the air.

We have wind blowing in [W 60° N ]

To solve the problem we have to make use of the sine rule

[tex]\frac{SinA}{a}=\frac{SinB}{b} =\frac{SinC}{c}[/tex]

We put the values in the equation, we have:

50/Sinθ = 200/sin60°

The next step is to cross multiply

50 x sin60° = 200Sinθ

50 x 0.8660 = 200sinθ

We make Sin θ the subject

Sine θ = 43.30/200

sine θ = 0.2165

we find the value of θ

θ = sine⁻¹(0.2165)

θ = 12.50

So Lindsay has to fly this plane towards this direction

[W 12.5° S]

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Related Questions

what is theory of relativity and why this theory made??????
I will give brainlist no google ans I will check
..​

Answers

Answer:

e=mc2 made to relate mass with energy . bcoz energy can neither b created nor b destroyed

Answer:

Leave it bro!!!.....

I have got members!!!

But if you want then come up from my id #LV89QRGCL

1. A pendulum is 0.25 m long. What is the frequency of its oscillations?
How do you solve this

Answers

Answer:

hi

Explanation:

hi

What is the voltage drop across the 10.0 Ω resistor?

Answers

Answer:

its 120 C

Explanation:

its 120 C

The voltage drop across the 10.0 Ω resistor is c)120V

What is voltage drop in a circuit ?

Voltage drop is the decrease of electrical potential along the path of a current flowing in an electrical circuit.

since , all three resistors 10Ω , 20 Ω and 30Ω are in series combination

this implies that voltage drop across each resistor will be same as the total voltage drop in the circuit because in parallel combination voltage remain same in the circuit buy current get divided in each branch  

hence , the voltage drop across the 10.0 Ω resistor = 120 V

  correct answer c) 120 V

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If 150 G of wood started Burning, and 30 G of wood ash was left behind, how many grams of CO2 to gas was released

Answers

Long question good luck:)

PLEASE

HELP!!!

Jacob and Matthew are pulling a 20 kg box filled with chocolate along the ground, while Savannah is trying to pull it back in the other direction. Jacob is pulling with 50 N, Matthew with 40 N, and Savannah is pulling with 60 N in a negative direction. Draw an FBD; it should have 5 forces on it. Find the net Force. Then calculate the acceleration of the box. Lastly, calculate the acceleration if Mathew decides to run for his life and stop pulling.

Answers

Explanation:

N/B: Please see attached a rough sketch of the free body diagram for your reference.

From the diagram, the weight W is acting downward and the resultant R is in the positive direction

Given data

mass m=20kg

Forces

Jacob is pulling with 50 N,

Matthew with 40 N, and

Savannah is pulling with 60 N in a negative direction

Required

The net force

Net force= 50+40-(60)

               =90-60

               =30N in the possitive direction(in Jacob and Mathew's direction)

we know that F=ma

a=F/m

a= 30/20

a=1.5m/s^2

if Mathew decides to run for his life and stop pulling the net force will be

Net force=50-60=-10N (in Savannah's direction)

a=F/m

a=10/20

a=0.5m/s^2

how much work is done by a person if he stand carrying a load of 50 kg at the height of 1 metre

Answers

Totalmassm=50+20=70
heighth=20×0.2=4m
workdone=mgh=70×10×4
=2800

Liam wants to determine if foam is a good insulator. He decides to connect wires to two ends of a battery and then connect one wire to each end of a foam cup. Which inquiry skill is Liam using?

Answers

Answer: liain is using lucid mode

Explanation:btw im from canida so sorry if its wrong

1
Assertion (A): Potential energy of a body depends upon height of the body from the surface of earth.
Reason (R): Potential energy and height of the body from ground are directly proportional to each
other (h«<r)
a) Both A and R are true and R is the correct explanation of A
[ ]
b) Both A and R true and R is not the correct explanation of A
c) A is true but Ris false
d) A is false but R is true
beha​

Answers

Answer:

a

Explanation:

it increases with increasing height

A ball is dropped from a height of 50 meters above the ground. What is its velocity the moment it hits the ground?

Answers

Answer:

The distance is 45m. (s)

Acceleration is 9.8 m/s^2 (acceleration due to gravity). (a)

We have to find the time (t)

By the 3rd equation of motion,

s = ut + 1/2 at^2 (here u is the initial velocity of the ball)

Since the initial velocity was 0 m/s, the formula becomes s = 1/2 at^2.

(substituting the values in the formula)

45 = 1/2 x 9.8 x t^2

45 = 9.8/2 x t^2

45 = 4.9 x t^2 (9.8/2 = 4.9)

(divide 4.9 on both sides)

45/4.9 = 4.9 x t^2 / 4.9

9.1836 = t^2

3.030 = t

So it takes approximately 3 seconds for the ball to reach the surface of the earth (neglecting air resistance). You can try the same with 50 m .

The velocity of the ball the moment it hits the ground is equal to 31.3 m/s.

What is the equation of motion?

Equation of motion has established a relation between the velocity of the body and acceleration of the body when the body is moving with uniform acceleration along a straight line. The distance traveled in a specific time has expressed a set of equations termed equations of motion.

The first equation of motion can be expressed as follows:

v = u + at

The second equation of motion can be expressed as follows:

S= ut + (1/2)at²

Where u is the initial velocity of a body, v is the final velocity, S is the distance, a is the acceleration and t is the time.

Given, the distance traveled by the ball, S = 50 m

and, the initial velocity of the ball, u = 0 as ball is at rest initially.

From the second equation of motion, find the value of 't':

50 = (0) t + (1/2)× (9.8) ×(t²)

t = 3.19 sec

Now from the first equation of motion, find the value of the final velocity of the ball:

v = (0) + (9.8) (3.19)

v = 31.3 m/s

Therefore, the ball hits the ground with a velocity of 31/3 m/s.

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Calculate the lateral displacement of a ray of light incident at an angle of 30o on a parallel – sided block of glass of thickness 40.0 mm and refractive index 1.6.

Answers

The lateral displacement is I don’t know tbh I think 16.8

If
you
increased one mass 2 times and another
mass by 4 times how would the force of gravity
between them change?

Answers

Answer:

A factor of 2*4 = 8

Explanation:

F_g = (G*m1*m2)/r^2  

where m1 and m2 are the two masses, G is Newton's gravitational constant, and r is the distance between the center of mass of the two objects.

So, if you double m1 and quadruple m2:

m1' = 2*m1

m2' = 4*m2

Then F_g' = (G*m1'*m2')/r^2 = (G*2*m1*4*m2)/r^2 = 8*(G*m1*m2)/r^2 = 8*F_g

What is the net force (including direction and magnitude) acting on the object on the above left?

Answers

Answer:

Explanation:

the net force on the right left is 25 N and is directed upward

the net force on the left one is zero because 200N force act upward and 200N force act downward so both cancel each other and net force is zero

i hope this will help you

The net force on the right left is 25 N and is directed upward.

The net force on the left one is zero because 200 N force act upward and 200 N force act downward so both cancel each other and net force is zero.

What is force?

A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.

By looking at both figure we get idea of net force after calculation,

The net force on the right left is 25 N and is directed upward.

The net force on the left one is zero because 200 N force act upward and 200 N force act downward so both cancel each other and net force is zero.

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Hi, I don't really know I just guessed.

Answers

Answer:

direction

Explanation:

4. Density is a property of all matter.
True
False
Neither true or false due to lack of information

Answers

Pretty sure it’s true

You place a drop of blue food coloring in a cup of cold water and another drop of food coloring in a cup of hot water. Which observation is correct and why? A The food coloring in the hot water will spread more slowly than in the cold water because water molecules move more slowly when hot. B The food coloring in the hot water will spread more quickly than in the cold water because water molecules move more quickly when hot. C The food coloring in the cold water will spread more quickly than in the hot water because water molecules move more quickly when cold. D The food coloring in the cold water will spread at the same rate at the food coloring in the hot water because water molecules at any temperature move at the same rate.

Answers

Answer:

B food coloring will move quicker in hot water because the molecules move faster when they are hot

Explanation:

SCIENCE! aaaaand my physics text book

Option B is correct:  The food coloring in the hot water will spread more quickly than in the cold water because water molecules move more quickly when hot since they have more kinetic energy.

Kinetic energy of the molecules:

According to the question, we place a drop of blue food coloring in a cup of cold water and another drop of food coloring in a cup of hot water and then observe the spreading of the blue color in both the cups.

Option B will be correct because the kinetic energy of the molecules of a gas or a liquid is directly proportional to the absolute temperature of the gas or the liquid.

High kinetic energy means that the molecules will have higher velocity, which will make it easier for any solvent to dissolve in water since it will spread faster.  

So the cup which has water at a higher temperature will have a faster spread of the food coloring.

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Calculate Vector component in Y if the hypotenuse is 32 and angle is 45

Answers

Answer:

The correct option is;

c. 22.6

Explanation:

The given parameters are;

The hypotenuse of the vector = 32

The angle of the vector = 45°

Therefore, the vector component in the y-axis is given as follows;

[tex]v_y = v \times sin(\theta)[/tex]

Substituting the values from the question gives;

[tex]v_y = 32 \times sin(45^{\circ}) \approx 22.6[/tex]

The vector component in the y-axis, [tex]v_y[/tex], is approximately 22.6.

Which two elements have similar properties and 8 electrons in their outermost shells?
A. Chlorine and bromine
B. Calcium and strontium
C. Nitrogen and phosphorus
D. Argon and krypton
** THE ANSWER IS D **

Answers

Answer:

D

Explanation:

their octet is complete they don't react with any thing

Argon and krypton have similar properties, and they have a complete octet, which means that they do not react with anyone. Hence, option D is correct.

What are inert gases?

The phrase "inert gas" is a bit misleading because, in some circumstances, these gases can really be reactive. As a result, these gases are typically referred to as noble gases in the context of chemistry and materials science.

The term "noble" has historically been used in chemistry (and earlier in alchemy) to characterize the resistance of some metals to chemical reaction, and the term "noble gas" denotes the same resistance.

Helium (He)Neon (Ne)Argon (Ar)Krypton (Kr)Xenon (Xe)Radon (Rn)

These are the inert gases which are mentioned in the periodic table.

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A storage tank contains a liquid at depth y where y=0 when the tank is half full. liquid is withdrawn at a constant flow rate q to meet demands. the contents are resupplied at a sinusoidal rate 3qsin2(t). the equation can be written for this system as the

Answers

Answer:

y(t) = [tex]\frac{3Q}{2A} ( t - 1/2 sin2t ) - \frac{Q}{A} t + C[/tex]

Explanation:

Given data :

storage tank contains a liquid at depth ; Y

when tank is half full ;  y = 0

flow rate = q

sinusoidal rate = 3Q [tex]sin^{2} (t)[/tex]

Determine how the equation can be written for this system

solution is attached below

note ; from the question it can be seen that the surface area ( A )  is constant

State two effects of a force when applied on a body.​

Answers

Answer:

A force acting on an object may cause the object to change shape, to start moving, to stop moving, to accelerate or decelerate. When two objects interact with each other they exert a force on each other, the forces are equal in size but opposite in direction.

Explanation:

Please mark me as the brainliest answer

Applying force can change shape, stop movement, to start moving, to accelerate and to decelerate.


When two objects interact with each other they exert a force on each other, the forced are equal in size but opposite in direction

Calculate the pressure exerted by the elephant (24000 Newtons) on the ground, assuming that
the total area of its feet is 0.8 m2.​

Answers

Answer:

3000 Pa

Explanation:

The pressure exerted by the elephant can be found by using the formula

[tex]p = \frac{f}{a} \\ [/tex]

f is the force

a is the area

From the question we have

[tex]p = \frac{2400}{0.8} \\ [/tex]

We have the final answer as

3000 Pa

Hope this helps you

An electric heater is rated 1000watts. If a current of 5A pass through the heater, find the value of its resistance.​

Answers

Answer: R=40 Ω

Explanation: [tex]P=I^{2} R[/tex]

R=1000/ (25)=40

Please help me out if you want brainliest !!!!! ASAP easy

Answers

Answer:

Road A = 8 meters Wet

Road B = 2 meters Muddy

Road C = 12 meters Dry

Explanation:

In a container of negligible mass, 0.0400 kg of steam at 100∘C100 ∘ C and atmospheric pressure is added to 0.200 kg of water at 50.0∘C50.0 ∘ C.
(a) If no heat is lost to the surroundings, what is the final temperature of the system?
(b) At the final temperature, how many kilograms are there of steam and how many of liquid water?

Answers

A - 100 C°
B - 0.0214 kg and 0.219 kg

Hope this helped out! Have a nice day :)

If no heat is lost to the surroundings, the final temperature of the system is 100 C°,  At the final temperature, 0.0214 kg and 0.219 kg kilograms are there of steam and how many of liquid water

What is heat ?

heat can be defined as the form of energy that is spontaneously transferred from one object to another object as the differences in temperatures is otherwise called as heat transfer.

The Heat transfer occurs  upto the  equilibrium point of an object has been reached.

Internal Energy is the total amount of energy of all the molecules of a body is the internal energy within the object.

Specific Heat or heat capacity, is   the amount of energy required to produce a unit change in its temperature.

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Which boat experience the most force? *

Answers

Answer:

not sure u dont show anything??

Explanation:

Answer:

no idea

Explanation:

A textbook is pushed across a desk. It experiences what type of force ​

Answers

Answer:

kinetic friction force

Explanation:

Usain Bolt ran 100 m in 9.58 s, reaching a final speed of 12.43 m/s. What was his acceleration?

Answers

Answer:

1.3m/s²

Explanation:

Given parameters:

Distance  = 100m

Time taken  = 9.58s

Final speed  = 12.43m/s

Unknown:

Acceleration = ?

Solution:

Acceleration is the rate of change of velocity with time; to solve this problem, we apply one of the motion equation;

   v  = u + at

v is the final speed

u is the initial speed

a is the acceleration

t is the time

 u  = 0m/s

Insert the parameters and solve;

      12.43  = 0 + a x 9.58

     12.43  = 9.58a

       a  = [tex]\frac{12.43}{9.58}[/tex]   = 1.3m/s²

Question 1) For resonance to occur, the object must experience a frequency equal to its what?


natural frequency


period


wavelength


amplitude

Question 2) What variable affects the natural frequency of an organ pipe?


pipe width


pipe length


pipe area


pipe use

Question 3) Resonance in air columns is used in which of these musical instruments?


violin


trumpet


drums


guitar

Question 4) Which term describes the number of crests that pass a point in a given amount of time?


wave speed


frequency


wavelength


period

Queston 5) Which of the following is the human ear able to detect?


dog whistle


sonar


ultrasound


musical note

Answers

Explanation:

Note that resonance can only occur when the natural frequency is greater than the damping rate, multiplied by the square root of 2. If the damping is too large, then resonance cannot occur.

The asteroid, Ida, has a small moon, Dactyl, that orbits at a speed of 5.66 m/s in an orbit of radius 90, 000m . What is Ida's mass?

Answers

Answer:

4.3 x 10^16 kg

Explanation:

M = rv^2/G =[90,000 x 5.66^2] / [6.67 x 10^-11]

M = 43,226,446,776,611,694 = 4.3 x 10^16 kg - Ida's mass.

Answer:

Explanation:

the person on top of me was correct 4.3 10^16 i have it in my notes from when i was in school :) so they are right

Need help solving this question.

Answers

Answer:

See the answers below.

Explanation:

to solve this problem we must make a free body diagram, with the forces acting on the metal rod.

i)

The center of gravity of the rod is concentrated in half the distance, that is, from the end of the bar to the center there is 40 [cm]. This can be seen in the attached free body diagram.

We have only two equilibrium equations, a summation of forces on the Y-axis equal to zero, and a summation of moments on any point equal to zero.

For the summation of forces we will take the forces upwards as positive and the negative forces downwards.

ΣF = 0

[tex]-15+T-W=0\\T-W=15[/tex]

Now we perform a sum of moments equal to zero around the point of attachment of the string with the metal bar. Let's take as a positive the moment of the force that rotates the metal bar counterclockwise.

ii) In the free body diagram we can see that the force acts at 18 [cm] of the string.

ΣM = 0

[tex](15*9) - (18*W) = 0\\135 = 18*W\\W = 7.5 [N][/tex]

can you please help me?

Answers

Answer:

Iron, You're Welcome :)

Answer:

iron

Explanation:

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