Suppose Alex is navigating using a compass. She starts walking at an angle of 60° north of east and walks a total of 100 m. How far north is she from the starting point? How far east?

Answers

Answer 1

Answer:

[tex]50\:\mathrm{m\: North}\\50\sqrt{3}\:\mathrm{m\: East}[/tex]

Explanation:

We can create a 30-60-90 triangle. The distance she walked is then the hypotenuse of the triangle, and using 30-60-90 triangle rules, we have the following:

The North leg is opposite to the [tex]30^{\circ}[/tex] angle. Therefore, if we call this distance [tex]y_N[/tex], we have the following:

[tex]\sin 30^{\circ}=\frac{y_N}{100},\\\frac{1}{2}=\frac{y_N}{100},\\y_N=\fbox{$50\:\mathrm{m}$}[/tex].

The East leg is opposite to the [tex]60^{\circ}\\[/tex] angle. If we call this distance [tex]x_E[/tex], we have:

[tex]\sin 60^{\circ}=\frac{x_E}{100},\\\frac{\sqrt{3}}{2}=\frac{x_E}{100},\\x_E=\fbox{$50\sqrt{3}\:\mathrm{m}$}[/tex].


Related Questions

Brian Berg of lowa built a house of cards 4.88 m tall. Suppose Berg throws a ball from ground level
with a velocity of 9.98 m/s straight up. What is the velocity of the ball as it first passes the top of
the card house?

Answers

Answer:

Vf = final velocity = 1.96 [m/s]

Explanation:

To solve this problem we must use the following equation of kinematics.

[tex]v_{f}^{2}=v_{o}^{2}-2*g*x[/tex]

where:

Vf = final velocity [m/s]

Vo = initial velocity = 9.98 [m/s]

g = gravity acceleration = 9.81 [m/s²]

x = vertical distance [m]

[tex]v_{f}^{2}=(9.98)^{2}-2*9.81*4.88\\v_{f}^{2} = 99.6-95.74\\v_{f}=\sqrt{3.8544}\\v_{f}=1.96[m/s][/tex]

Note: The negative sign of the gravity acceleration means that the gravity acceleration is pointing in the opposite direction of the movement.

800 joules of work were done with a force of 200 newtons. Over what
distance was the force applied?

20 m

40 m

4 m

2 m

Answers

Answer:

4m

Explanation:

800/200


1. What happens to the orbit of the planet if the mass of the sun changes?

Answers

Answer:

If the sun's mass were to double without pushing or pulling on the Earth, then the Earth's orbit will change to an ellipse which brings it out to our current radius but spends most of its time closer to the sun. The tides would probably get even stronger then, particularly when our orbit takes us closer to the sun.

Explanation:

Velocities of two bodies A and B are given in vectors notation as va =i+2j-3k and Vb=3i+2j-k what will be the relative velocity of b with respect to a?

Answers

Answer:

[tex]V_{B/A}=2i+2k[/tex]

Explanation:

The relative velocity can be calculated by means of the difference between vector B minus vector A.

[tex]V_{A}=i+2j-3k\\V_{B}=3i+2j-k\\V_{B}-V_{A}=(3-1)i + (2-2)j+(-1-(-3))k\\V_{B/A}=2i+2k[/tex]

A wheel of mass 50 kg has a radius of 0.4 m. It is making 480 rpm. What is the
torque necessary to bring it to rest in 40 seconds?
Solution:

Answers

Answer:

The torque necessary to bring the wheel to rest in 40 seconds is 10.4 N·m

Explanation:

The question is with regards to rotational motion

The rotary motion parameters are;

The mass of the wheel = 50 kg

The radius of the wheel = 0.4 m

The rate of rotation of the wheel = 480 rpm

The time in which the wheel is to be brought to rest = 40 s

The rotational rate of the wheel in rotation per second is given as follows;

480 r.p.m = 480 r.p.m × 1 minute/(60 seconds) = 8 revolution/second

1 revolution = 2·π radians

Therefore, we have the angular velocity, ω, given as follows;

ω = 2·π × 8 revolutions/second ≈ 50.3 rad/s

The angular acceleration, α, is given as follows;

[tex]\alpha = \dfrac{\Delta \omega}{\Delta t} = \dfrac{\omega _2 - \omega_1}{t_2 - t_1}[/tex]

Whereby the wheel is brought to rest from its initially constant rotational motion in 40 seconds, we have;

ω₁ ≈ 50.3 rad/s, ω₂ = 0 rad/s, and t₂ - t₁ = 40 seconds

Plugging in the values for the variables of the equation for the angular acceleration, "α", we get;

[tex]\alpha = \dfrac{0 - 50.3 \ rad/s}{40 \ s} \approx 1.3 \ rad/s^2[/tex]

The torque on the wheel, τ, is given as follows;

τ = m·r²·α

Where;

m = The mass of the object = 50 kg

r = The radius of the wheel = 0.4 m

α = The acceleration of the wheel ≈ 1.3 rad/s²

Therefore;

τ = 50 kg × (0.4 m)² × 1.3 rad/s² ≈ 10.4 N·m

The torque necessary to bring the wheel to rest in 40 seconds = τ ≈ 10.4 N·m.

Answer:

-10.048 N m

Explanation:

5
Select the correct answer.
Which statement best explains the relationship between electric force and the charges on two interacting objects?
СА.
Electrical force is directly proportional to the product of the charges on the two objects.
B.
Electrical force is inversely proportional to the product of the charges on the two objects.
Electrical force is inversely proportional to the product of the squares of the charges on the two objects.
D. Electrical force is directly proportional to the product of the squares of the charges on the two objects.

Answers

Answer:

Electrical force is directly proportional to the product of the charges on the two objects.

Explanation:

The electric force between two charges is given by :

[tex]F=\dfrac{kq_1q_2}{d^2}[/tex]

Where

k is electrostatic constant

q₁ and q₂ are charges

d is the distance between charges

It can be very clear that the electric force is directly proportional to the product of charges and inversely proportional to the square of the distance between them.

Hence, the correct option is (a) "Electrical force is directly proportional to the product of the charges on the two objects".

The Periodic Table Question 3 of 10 Based on the trend in valence electrons across periods for main-group elements, how many valence electrons does fluorine (F) have? O A. 4 B. 7 O C. 6 D. 5 SUBT​

Answers

Answer:

B. 7

Explanation:

Fluorine has 7 valence electrons in its orbitals.

The valence electrons are electrons in the outermost shell of an atom. Every element has a certain amount of valence electrons.

Fluorine belongs to the 7 - group on the periodic table. Every element in this group has 7 electrons in their outermost shell. The elements in the group are called halogens. Other elements in this group are fluorine, chlorine, bromine, iodine and astatine.

Answer:

7

Explanation:

Question 1 of 10
Which option is a potential environmental benefit of adopting a new
technology?
A. Expanded customer base
B. Improved product quality
C. Higher numbers of sales
D. Reduced emission of pollutants
SUBMIT

Answers

Answer:

Its obviously number D

Explanation:

When it comes to environmental benefit, Reducing emission of pollutants does the best job.

Reduced emission of pollutants is a potential environmental benefit of adopting a new technology.

What are pollutants?

The elements, molecules, and particles that contribute to pollution are known as pollutants; life can be injured by exposure to these substances, and their impacts on people and plants are widely documented.

There are several ways that pollutants can enter the environment, both naturally and through human activity.

Depending on the type of pollution, what happens to it once it is released into the air, soil, or water supply.

Therefore, Reduced emission of pollutants is a potential environmental benefit of adopting a new technology.

To learn more about pollutants, refer to the link:

https://brainly.com/question/28519286

#SPJ2

The density of a substance is 879.26 g/mL. What is the volume of 48 g of the substance?​

Answers

What is the volume of 48g

h m u i m he ll a b o r e d

Answers

Answer:

KITTEEENNSSSSS last one is what i got for critsmas KlikBot Hexagon Special Pack

Explanation:

which property of a conducting wire is utilised in making electric fuse ​

Answers

Answer:

property of low melting point

Explanation:

When too much current flows through the low resistance element of the fuse, the element melts and breaks the circuit

Determine the force required to accelerate a 2 kilogram ball to an
acceleration of 9.8 m/s2

Answers

Answer:

19.6 N

Explanation:

The force acting on an object given it's mass and acceleration can be found by using the formula

force = mass × acceleration

From the question we have

force = 2 × 9.8

We have the final answer as

19.6 N

Hope this helps you

what should be angle between force and displacement to get the maximum work​

Answers

Answer: The angle between force and displacement should be θ = 90° for minimum work. The angle between force and displacement should be θ = 0° for maximum work.

An object with a mass of 2.0 kg accelerates 2.0 m/s^2. What is the amount of force acting on the object?

Answers

Answer:

Explanation:

When the mass

m

is being accelerated with an acceleration of

a

,we can say the net force acting in the direction of acceleration is

F

=

m

a

here,it is given that only one force

F

was applied to cause this acceleration, and also given,

m

=

2

K

g

,

a

=

2

m

s

2

So,

F

=

2

2

=

4

N

Answer:

4N

Explanation:

given formula solution

m=2kg F=ma F=2kg×2m/s^2

a=2m/s^2 =4N

What does an electromaget do

Answers

Answer:

An electromagnet is a magnet that runs on electricity. Unlike a permanent magnet, the strength of an electromagnet can easily be changed by changing the amount of electric current that flows through it. The poles of an electromagnet can even be reversed by reversing the flow of electricity.

someone please help with this

Answers

Answer:

The new force is 2/3 of the original force

Explanation:

Coulomb's Law

The electrical force between two charged objects is directly proportional to the product of their charges and inversely proportional to the square of the distance between the two objects.

Written as a formula:

[tex]\displaystyle F=k\frac{q_1q_2}{d^2}[/tex]

Where:

[tex]k=9\cdot 10^9\ N.m^2/c^2[/tex]

q1, q2 = the objects' charge

d= The distance between the objects

Suppose the first charge is doubled (2q1) and the second charge is one-third of the original charge (q2/3). Now the force is:

[tex]\displaystyle F'=k\frac{2q_1*q_2/3}{d^2}[/tex]

Factoring out 2/3:

[tex]\displaystyle F'=\frac{2}{3}k\frac{q_1*q_2}{d^2}[/tex]

Substituting the original force:

[tex]F'=\frac{2}{3}F[/tex]

The new force is 2/3 of the original force

Putting the ball back into play by the offense is called a ____ ____

Answers

Answer:

Hand ball ?

Explanation:

Which two quantities can be expressed using the same units?
1.energy and force
2.impulse and force
3.momentum and energy
4.impulse and momentum

Answers

Answer: impulse and momentum

Explanation:

Impulse and momentum-  two quantities can be expressed using the same units. Hence, option (4) is correct.

What is impulse?

In physics, the term "impulse" is used to characterize or measure the impact of force operating gradually to alter an object's motion. It is often stated in Newton-seconds or kilograms per second and is denoted by the symbol J.

Because a body with momentum cannot be halted, it must be forced to move in the opposite direction for a predetermined amount of time. The harder it is to stop, the more momentum there is. Consequently, more force must be applied and more time must be spent to stop the body.

Mathematically,

impulse = force· time

= mass × acceleration × time

= mass × ( change in velocity/time) × time

= mass ×  change in  velocity

=  change in momentum.

Hence, both Impulse and momentum have same unit.

Learn more about impulse here:

https://brainly.com/question/16980676

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320 joules of work were done by a force of 80 newtons. Over what
distance was the force applied?

44m

80m

4m

40m

Answers

Answer:

[tex]4\:\mathrm{m}[/tex]

Explanation:

The formula for work is given as [tex]W=F\Delta x[/tex] where [tex]F[/tex] is force applied and [tex]\Delta x[/tex] is displacement.

Rearranging this equation, we have:

[tex]\Delta x=\frac{W}{F}[/tex].

Plugging in given values, we get:

[tex]\Delta x=\frac{W}{F}=\frac{320}{80}=\fbox{$4\:\mathrm{m}$}[/tex].

Answer:

The answer is 4m

Explanation:

hope this helps!

When can a high speed velocity cause damage?'

Answers

Answer:

50 Mph.

Explanation:

According to the National Severe Storms Laboratory, winds can really begin to cause damage when they reach 50 mph. But here’s what happens before and after they reach that threshold, according to the Beaufort Wind Scale (showing estimated wind speeds): - at 19 to 24 mph, smaller trees begin to sway.

plz help asap
Which of the following techniques would be used to treat a disease based on the humoral theory?


perform a surgery

administer an enema

prescribe an antibiotic

administer a vaccine

The theory of plate tectonics explains the cause of which natural occurrence?


avalanches

floods

earthquakes

eruptions

Answers

Answer:

Given the body part: They would administer a vaccine Plate tectonics: It describes earthquakes


Obtain a pillow made of foam rubber. Press
down hard with your two hands on the surface
of the pillow. Then withdraw your hands
Describe what happened to its shape while you
pushed hard on the pillow and when you
withdrew your pushing. Repeat this activity on
a piece of rectangular block of wood and a
plasticine. Note the different effects.​

Answers

Answer: Only foam rubber is compressible material

Explanation:

The pillow is made up of foam rubber which can be compressed easily due to the soft compressible rubber with hands on application of pressure on the surface. The shape of pillow regain its original shape when the pressure is withdrawn from the pillow. If the same activity is performed on the piece of rectangular block of wood and plasticine. Then the rectangular block of wood cannot be compressed with hand as it is a solid body. Plasticine is a putty like material. It is a clay like material and it can be compressed with hand but when the pressure is withdrawn the plasticine does not regain its shape back.

Hi!! Does anyone know the answer!! :D

Answers

Answer:

C. Contour Farming

Answer C . contour farming

Can someone please help?

Answers

Answer:

B

Explanation:

Speed is distance divided by time.

Answer: B
Explanation: speed is distance divided by time

A Skydiver has a mass of 48kg, what is the force that she exerts as she is falling to the ground?

Answers

Answer:

470.4N

Explanation:

Given parameters:

Mass of the skydiver = 48kg

Unknown:

Force she exerts as she is falling to the ground  = ?

Solution:

The force she exerts while falling to the ground is her weight;

    Weight  = mass x acceleration due to gravity

Acceleration due to gravity  = 9.8m/s²  

  Weight  = 48 x 9.8  = 470.4N

PLEASE HELP!!!
Which two conditions would result in the weakest electric force between objects?

Answers

Answer:

B

Explanation:

objects are conductors with unbalanced charges

Answer:

D & A

Explanation:

If the magnification produced by a lens has a negative value, the image will be
A) virtual and inverted
B) virtual and erect
C) real and erect
D) real and inverted

Answers

Answer:

I think it's B, not quite sure tho.

I believe the answer is A. Virtual and inverted.

A student pulls a block across the desk in physics class. He applies 14N of
tension in the string, but friction holds the box back with 4N. His partner
measures the acceleration of the box across the desk to be 2m/s2. What
must the mass of the box be?
100 Pointsss hellppp

Answers

can you please show a picture

When the Sun is directly overhead, a
hawk dives toward the ground at a speed of
3.31 m/s.
If the direction of his motion is at an angle
of 35° below the horizontal, calculate the
speed of his shadow along the ground.
Answer in units of m/s.

Answers

Answer:

2.71 m/s

Explanation:

Apply the formula for cosine of an angle where;

The hypotenuse is the speed the hawk dives towards the ground : 3.31 m/s

The angle of direction of motion from the horizontal is : 35°

Speed of the shadow along the ground will be, A ;

Cosine 35° = A / 3.31

A= 3.31 cosine 35°

A= 2.71 m/s

Which identifies the energy transformations that take place in Anna’s body as this process takes place?

Mechanical energy is converted to kinetic energy, which is then converted to potential energy.
Chemical energy is converted to thermal energy and electrical energy.
Electrical energy is converted to chemical energy and thermal energy.
Mechanical energy is converted to potential energy which is then converted to kinetic energy.

Answers

Answer:

Chemical energy is converted to thermal energy and electrical energy.

Explanation:

Answer:

Which identifies the energy transformations that take place in Anna’s body as this process takes place?

Mechanical energy is converted to kinetic energy, which is then converted to potential energy.

*******Chemical energy is converted to thermal energy and electrical energy. *******CORRECT*******

Electrical energy is converted to chemical energy and thermal energy.

Mechanical energy is converted to potential energy which is then converted to kinetic energy.

Explanation:

Feb 2021 Edge 100% test

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