1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Studentka2010 [4]
2 years ago
10

Lindsay is planning a flight from St. Catherines to Hamilton, which lies due west of St. Catharines.

Physics
1 answer:
Schach [20]2 years ago
3 0

Lindsay should fly the plane in the direction [W 12.5° S] to get Hamilton.

Using Sine rule to solve this question

Sine rule => SinA/a = SinB/b = SinC/c = constant

The magnitude of wind is 50 with an angle of 60 degrees.

The magnitude of plane is 200 and the angle at which it should fly is unknown and should be θ.

One side is 50 km/hr at an angle of 60 degrees.

sin 60°/200 = sin θ / 50

50 × sin 60° = 200 × sin θ

√3/2 = 4 × sin θ

√3/8 = sin θ

sin θ = 0.2165

θ = sin⁻¹(0.2165)

θ = 12.5°

So Lindsay have to fly the plane in the direction of [W 12.5° S].

Learn more about Sine Rule here:

brainly.com/question/27174058

#SPJ10

You might be interested in
you have two solid substances that look the same. What measurements would you take and which tests would you preform to determin
musickatia [10]
To see how much they weigh
7 0
3 years ago
A 1000 kg satellite and a 2000 kg satellite follow exactly the same orbit around the earth. What is the ratio F1/F2 of the gravi
Tamiku [17]

Answer:

the <em>ratio F1/F2 = 1/2</em>

the <em>ratio a1/a2 = 1</em>

Explanation:

The force that both satellites experience is:

F1 = G M_e m1 / r²       and

F2 = G M_e m2 / r²

where

  • m1 is the mass of satellite 1
  • m2 is the mass of satellite 2
  • r is the orbital radius
  • M_e is the mass of Earth

Therefore,

F1/F2 = [G M_e m1 / r²] / [G M_e m2 / r²]

F1/F2 = [G M_e m1 / r²] × [r² / G M_e m2]

F1/F2 = m1/m2

F1/F2 = 1000/2000

<em>F1/F2 = 1/2</em>

The other force that the two satellites experience is the centripetal force. Therefore,

F1c = m1 v² / r    and

F2c = m2 v² / r

where

  • m1 is the mass of satellite 1
  • m2 is the mass of satellite 2
  • v is the orbital velocity
  • r is the orbital velocity

Thus,

a1 = v² / r ⇒ v² = r a1    and

a2 = v² / r ⇒ v² = r a2

Therefore,

F1c = m1 a1 r / r = m1 a1

F2c = m2 a2 r / r = m2 a2

In order for the satellites to stay in orbit, the gravitational force must equal the centripetal force. Thus,

F1 = F1c

G M_e m1 / r² = m1 a1

a1 = G M_e / r²

also

a2 = G M_e / r²

Thus,

a1/a2 = [G M_e / r²] / [G M_e / r²]

<em>a1/a2 = 1</em>

4 0
3 years ago
Three resistors, 6.0-W, 9.0-W, 15-W, are connected in parallel in a circuit. What is the equivalent resistance of this combinati
ycow [4]

Answer:

2.9Ω

Explanation:

Resistors are said to be in parallel when they are arranged side by side such that their corresponding ends are joined together at two common junctions. The combined resistance in such arrangement of resistors is given by;

1/Req= 1/R1 + 1/R2 + 1/R3 .........+ 1/Rn

Where;

Req refers to the equivalent resistance and R1, R2, R3 .......Rn refers to resistance of individual resistors connected in parallel.

Note that;

R1= 6.0Ω

R2 = 9.0Ω

R3= 15.0 Ω

Therefore;

1/Req = 1/6 + 1/9 + 1/15

1/Req= 0.167 + 0.11 + 0.067

1/Req= 0.344

Req= (0.344)^-1

Req= 2.9Ω

3 0
3 years ago
An electron is accelerqated in the uniform field betwen two parallel charged oplates. The separation of the plates is 1.20 cm
marysya [2.9K]

Answer:

The speed of electron is 8.7\times10^{6}\ m/s

Explanation:

Given that,

Separation of the plate = 1.20 cm

Suppose the field is E=1.80\times10^{4}\ N/C.

If the electron is accelerated from rest near the negative plate and passes through a tiny hole in the positive plate.

What the speed does it leave the hole?

We need to calculate the acceleration

Using formula of electric force

F = qE

ma=qE

a=\dfrac{qE}{m}

We need to calculate the speed of electron

Using equation of motion

v^2=u^2+2as

v^2=2as

Put the value of acceleration in the formula

v^2=2\times\dfrac{qE}{m}\times s

Put the value into the formula

v^2=2\times\dfrac{1.6\times10^{-19}\times1.80\times10^{4}\times1.20\times10^{-2}}{9.11\times10^{-31}}

v=\sqrt{2\times\dfrac{1.6\times10^{-19}\times1.80\times10^{4}\times1.20\times10^{-2}}{9.11\times10^{-31}}}

v=8.7\times10^{6}\ m/s

Hence, The speed of electron is 8.7\times10^{6}\ m/s

7 0
3 years ago
Visible light waves do not diffract as well as radio waves because?​
Ivenika [448]
They have more energy than radio waves.
8 0
3 years ago
Read 2 more answers
Other questions:
  • A 70 kg man is standing on the earth.<br> a. what is his mass?<br> b. what is his weight?
    6·1 answer
  • a shopper pushes a cart 40.0m south down one aisle and then turns 90.0 degrees and moves 15.0m. He then makes another 90.0 degre
    6·1 answer
  • I need to know the answer to the question
    12·1 answer
  • What is acceleration due to gravity constant
    6·1 answer
  • Moustapha Jones drops a penny down a well to wish for good grades on his upcoming physics test. He times the penny's drop and he
    5·1 answer
  • A light string is wrapped around the edge of the smaller disk, and a 1.50-kg block, suspended from the free end of the string. i
    5·2 answers
  • A 12.2-m-radius Ferris wheel rotates once each 28 s. (a) What is its angular speed (in radians per second)?(b) What is the linea
    5·1 answer
  • What is the first step for both loading and unloading a firearm?
    11·1 answer
  • The specific heat of iron is 0.45j/gk. The amount of heat needed to raise the temperature of the 12 g of iron by exactly 15k?
    5·1 answer
  • What is non examples of enlarged
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!