From base camp, a park ranger drives 27 meters at 32 degrees East of North, then 40 meters at 58 degrees West of North, and finally 39 meters directly West in an attempt to rescue a lost hiker.

Answers

Answer 1

Answer:

R = 73.34 m,   θ = 37º North of West

Explanation:

In this exercise you are asked to find the distance traveled.

The best way to do this is with a Cartesian coordinate system, let's use a system where the x axis coincides with the West - East direction), to decompose the trajectories

First trajectory

distance d₁ = 27 m

Direction 32 East of North, this angle is measured from the vertical direction (y-axis)

           cos 32 = y₁ / d₁

           sin 32 = x₁ / d₁

           y₁ = d₁ cos 32

           x₁ = d₁ sin 32

           y₁ = 27 cos 32 = 22.90 m

           x₁ =  27 sin 32 = 14.31 m

second trajectories

distance d2 = 40 m

direction 58 West from North, the angle is measured with respect to the y axis, towards the negative side of the x axis

            cos 58 = y₂ / d₂

            sin 32 = x₂ / d₂

            y₂ = d₂ cos58

            x₂ = d₂ sin 58

            y₂ = 40 cos 58 = 21.20 m

            x₂ = 40 sin 58 = -33.92 m

The negative sign of the x coordinate is due to the fact that the displacement is towards the West (negative of the x axis)

third trajectory

distance d₃ = 39 m

West direction, negative part of x-axis

             x₃ = - 39 m

the total distance is

            = x₁ + x₂ + x₃

            X_{total}l = 14.30 - 33.92 -39

            X_{total}X_total = -58.6 m

           

            Y_{total} = y₁ + y₂

             Y_{total}= 22.90 + 21.20

             Y_{total} = 44.1 m

we give the result in the form of module and angle

we use the Pythagorean theorem

              R = [tex]\sqrt{X_{total}^2 + Y_{total}^2 }[/tex]

              R =\sqrt58.6^2 + 44.1^2 }

              R = 73.34 m

we use trigonometry

               tan θ =

               θ = tan⁻¹ \frac{  Y_{total} }{ X_{total} }

θ = tan⁻¹ \frac{ 44.1 }{ 58.6 } (44.1 / 58.6)

            θ = -37º

this angle is in the second quadrant, given in the form of cardinal coordinates is

              θ = 37º North of West


Related Questions

Sometimes, a crackling sound is heard while taking off a sweater during winters. Explain

Answers

Answer:

it is somewhat frozen

Explanation:

What is the mathematical relationship between height, mass, gravity, and gravitational potential energy?

Answers

The change in gravitational potential energy, ΔPEg, is ΔPEg = mgh, with h being the increase in height and g the acceleration due to gravity. The gravitational potential energy of an object near Earth's surface is due to its position in the mass-Earth system.

A boat travels 90 m in 10 seconds, what is its speed?
90 m/s
9 mi/hr
9 m/s
900 m/s

Answers

Answer:

it is 9m/s , hope it helps

Need help ASAP
Will mark BRAINLIST and thanks only for correct answers

1.Which property of AM frequencies allow them to travel over long distances?

-high amplitude
-high energy
-constant velocity
-long wavelength

2.what types of waves do cell phones use?
-radio waves
-gamma rays
-microwaves

Answers

The answer for 2 is most definitely radio waves

Suman with a mass of 45kg climbs in 3m heigh ladder in 10 seconds. Calculate her power. Plz help me​

Answers

Answer:

work done=fdcosø

f=mg=450N

d=+3m

ø=180

450×3×cos(180°) power=work done/

time taken

1350×-1 p=135watts

John slides down a hill at a 4 m height initially at rest. If all energy is conserved and friction is excluded, what is John's velocity at the bottom of the ramp?

Answers

The velocity at the bottom : v = 8.85 m/s

Further explanation

Given

height of the hill = 4 m

Required

The velocity at the bottom

Solution

The law of conservation energy :

ME₁=ME₂

(PE+KE)₁ = (PE+KE)₂

initially at rest⇒vo=0⇒KE₁=0

At the bottom⇒h=0⇒PE₂=0

So the equation becomes :

PE₁=KE₂

mgh=1/2.mv²

gh = 1/2v²

[tex]\tt v=\sqrt{2gh}[/tex]

v = √2x9.8x4

v = 8.85 m/s

If you have observed something about the world and want to


investigate it further, what are you seeking to do?


a Do background research


b Construct a hypothesis


C Ask a question


d Report the results

Answers

Answer: a

Explanation: :)

A 10 kg dog runs across the ground and jumps onto an ice-covered pond at 5 m/s. If the force of friction acting on the dog is 8 N, how far will the dog slide before coming to rest?

Answers

Answer:

15.625m

Explanation:

Using the equation of motion

v² = u²+2as

u and v are the initial and final velocities

a is the acceleration

s is the distance

Get the acceleration

According to Newton's second law;

F  = ma

8 = 10a

a = 8/10

a = 0.8m/s²

We are also given

v = 5m/s

u = 0m/s

Substitute into the formula above

v² = u²+2as

5² = 0²+2(0.8)s

25 = 1.6s

s = 25/1.6

s = 15.625m

Hence the dog will cover a distance of 15.625m before coming to rest

PLS ANSWER FAST THIS IS TIME TEST AND WILL GIVE BRANINLY!!!!


Answer using mass m= F divided by a

Also use kilograms {kg}


A tiny aeroplane accelerates at 35 m/ s2 with a force of 20 N. What is the mass of the aeroplane?

Answers

Answer:

0.57 kg

Explanation:

We are given that

Force, F=20 N

Acceleration ,a =[tex]35m/s^2[/tex]

We have to find the mass of Aero-plane.

To find the value of mass we will divide the force by acceleration.

We know that

Force, F=ma

Using the formula

[tex]20=m\times 35[/tex]

[tex]\frac{20}{35}=m[/tex]

[tex]m=0.57 kg[/tex]

Hence, the mass of the aero-plane=0.57 kg

Sound waves are a type of compression wave. In a compression wave, we have areas of compaction and also areas of rarefaction. In
the areas of compression, particles are pushed together and in areas of rarefaction, particle spread apart. Sound waves are different
from light waves in several ways and one is in the type of wave. Light waves are transverse waves that have crests or peaks and
troughs or dips. Which model best shows us a light or transverse wave with very high crests and very low troughs?

Answers

Answer: C

Explanation:

The model which represents best of transverse wave with very high crests and low troughs is the third graph. Hence, option C is correct.

What is Sound?

Sound is a physical perturbation from an equilibrium position that travels through an elastic medium of material. It is also possible to define sound solely subjectively, as that which is regarded by the ear, but this definition lacks clarity and is overly constrictive because it is useful to discuss sounds that are produced by devices other than the human ear, such as dog whistles and sonar hardware, which cannot be done here by the auditory system.

The characteristics of sound waves should be examined first in any study of sound. Transverse and longitudinal waves are the two fundamental forms of waves, and they differ by the direction wherein they move.

The first graph is uniform trough and crest, but the third one has higher crest but lower trough.

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An excited 92 kg football player celebrates a touchdown by carelessly running straight into the goalpost at 9.4 m/s. He bounces straight backward at 6.2 m/s. What was the change in velocity? What was the impulse of the player?

Answers

Answer:

i. 15.6 m/s

ii. I = 1.44 KNs

Explanation:

The impulse, I, on a body is the product of force applied on it and the time it acts.

i.e I = F x t

Impulse is sometimes expressed as the change in momentum of a body. It is measured in Ns.

i. mass, m, of the player = 92 kg

initial velocity of the player, u = 9.4 m/s

final velocity of the player, v = 6.2 m/s

Since he bounces back on hitting the pole, then the sign of initial and final velocities are of opposite sign.

So that,

change in velocity of the player = final velocity - initial velocity

                                          = 6.2 - (-9.4)

                                         = 6.2 + 9.4

                                         = 15.6 m/s

change in velocity of the player is 15.6 m/s

ii. Impulse, I = m(v - u)

                    = 92 x 15.6

                    = 1435.2

Impulse on the player is 1.44 KNs.

If a man with
with long-sighted eye want to
a' text book, what shoðld be the distance between
book and the lens? Give reason​

Answers

Lots of factors play a role. Firstly if he is presbyopic he won't be able to read without specs at normal reading distances. Many years ago a chap by the name of Donders published a table which shows a linear relationship between age and ability to focus. The ready made reader market relies on his findings to suggest the power you need for reading at different ages. Secondly if he is far sighted (needing correction at distance to see clearly) it will also influence his ability to see close. For example +3.00D distance Rx at an age of 40 years will be very different than the same prescription at age 20 years due to his ability to accommodate. My suggestion is to have comprehensive eye exam to find out what you need at the specific working distance (computer or laptop or book reading all have different reading distances).

simple machines are in a mousetrap

Answers

Answer:

A mousetrap makes use of a simple machine called a lever.

Explanation:

In a second-class lever the effort force is at the other end, with the load in the middle. In a third-class lever, the load is at the end and the effort force is between the fulcrum and the load. When you set the mousetrap, you are using a second-class lever. Sorry if I get this wrong. I am in 5th grade! ♥

A 100 gram sample of 90 degree water causes the temperature of 100 grams of cold water to rise when the two are mixed. If the starting temperature of the cold water was 30 degrees, what will be the final temperature of the water?

Answers

The final temperature of the water : 60°C

Further explanation

Given

100 g water

t = 90 °C and 30 °C

Required

The final temperature

Solution

Q in = Q out

Q cold water = Q warm water

100 x 4.184 x (90-t)=100 x 4.184 x (t-30)

418.4(90-t)=418.4(t-30)

37656-418.4t=418.4t-12552

50208=836.8t

t = 60°C

There is a current of 2.95 A in one of the copper wires for 60 seconds. Calculate the charge flow through the wire.

Answers

Answer:

177 coulomb

Explanation:

Given data

I=2.95A

T=60

The relationship between current I and quantity of charge Q.

Q=IT

Substitute

Q=2.95*60

Q=177 coulomb

Which process causes the transfer of energy by air currents within the Earth's atmosphere?

Answers

Answer:

Conduction, radiation and convection all play a role in moving heat between Earth's surface and the atmosphere. Since air is a poor conductor, most energy transfer by conduction occurs right near Earth's surface


5.Which graph above shows an object's acceleration? 1pt
6. Why did you choose that graph in question above (explain why)? 1pt

Answers

5. B shoes an objects acceleration

6. B is the answer because a position time graph shoes velocity; hence v=change in x/t

An object with a potential energy of 981 J is placed at a height of 2m. What is the mass of the object?

Answers

Answer:

the mass of object is 2000

If you use the same force to push a motorcycle as you would push a bike which one would have more acceleration and why explain using Newton's second law

Answers

Answer:

The bike would have more acceleration

Explanation:

Accourding to newtons first law a force is equal to its mass multiplied by its acceleration (f=ma) therefore an object with a higher mass compared to an object with a lower mass would experience less acceleration.

Eg.

F=50N

Motorbike M=200kg

F=ma

50=200 x a

50/200=a

0.25m/s/s =a

Bike M=35kg

F=ma

50=35 x a

50/35= a

1.43m/s/s=a

Answer:

the bike

Explanation:

it has less mass than the motorcycle so so it would have more acceleration

A force of 500N Is applied to a steel wire of goss_sectional area 0.2m2 the tensele stress is a. 2.5x10 1nm-2 b. 1 0x102nm-2 c. 2.5x103nw-3 d. 1.0x103nm-2

Answers

Answer:

the tensile stress of the steel wire is 2.5 x 10³ Nm⁻².

Explanation:

Given;

applied force, F = 5000 N

cross sectional area of the steel wire, A = 0.2 m²

The tensile stress of the steel wire, is calculated as;

[tex]\sigma = \frac{F}{A} \\\\\sigma = \frac{500}{0.2} \\\\\sigma = 2500 \ N/m^2\\\\\sigma = 2.5 \ \times \ 10^3 \ Nm^{-2}[/tex]

Therefore, the tensile stress of the steel wire is 2.5 x 10³ Nm⁻².

Click through the images and select the model that best shows how J.J. Thomson envisioned the atom.

Answers

Answer:

The first one with the big plus in the middle and negatively charged electrons around.

Explanation:

The first image with the plus sign in the middle and negatively charged electrons around it shows how J.J. Thomson envisioned the atom.

J.J. Thomson proposed the "plum pudding" model of the atom. This model suggested that atoms were composed of a positively charged "pudding" with negatively charged electrons embedded within it.

1. Thomson conducted experiments with cathode rays, which are streams of negatively charged particles emitted from cathodes in vacuum tubes. Through his experiments, Thomson discovered that cathode rays were composed of negatively charged particles, which he named electrons. Based on his observations, Thomson proposed the "plum pudding" model, also known as the "raisin bread" model.

According to this model, atoms were made up of a positively charged substance, like a pudding, with negatively charged electrons scattered throughout it, like raisins in bread. Thomson suggested that the positive charge was evenly distributed throughout the atom, creating a uniform positive charge in the "pudding." This model was a significant departure from the previous understanding of the atom as an indivisible, homogeneous sphere.

Thomson's plum pudding model provided an early depiction of atomic structure, showing that atoms were not indivisible but composed of smaller subatomic particles. However, later experiments, particularly those conducted by Ernest Rutherford, led to the discovery of the atomic nucleus, which necessitated the revision of Thomson's model.

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Explain how smoking damages the respiratory system and name two conditions that can develop when a person smokes. ribe the location and importance of cilia and mucus in the respiratory system.

Answers

Answer:

Smoking damages the respiratory system by irritating the trachea and larynx due to the toxic chemicals and by causing swelling and narrowing of the airways and excess mucus in the lung passages. Two conditions that can develop when a person smokes is breathlessness and reduced lung function.

Explanation:

Smoking causes damages to the respiratory system by narrowing the airways and filling an excess of mucus in the lungs. It is a bad habit that may cause emphysema and chronic bronchitis.

Cigarettes contain more than 500 chemical substances in addition to nicotine, an addictive substance found in tobacco.

Cilia are hair-like projections localized in the airways that act to eliminate mucus and foreign (potentially harmful) matter.

The toxic compounds contained in cigarettes can paralyze the cilia in the airways and destroy them.

Smoking may produce:

The irritation and inflammation of the components of the respiratory system (e.g., trachea, larynx, lungs, etc)BreathlessnessExcess of mucous secretion in the lungs.Irreversible damage in the small air sacs of the lungs.

In consequence, smoking is associated with chronic obstructive pulmonary diseases, including chronic bronchitis or emphysema.

In conclusion, smoking causes damages to the respiratory system by narrowing the airways and filling an excess of mucus in the lungs. It is a bad habit that may cause emphysema and chronic bronchitis.

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a car takes 4 hours to cover a distance if it takes at a speed of 40mph. what should be it's speed to cover the same distance in 1.5 hours

Answers

Answer:

Speed = 106.67mph

Explanation:

Let the first motion be A.

Given the following data;

Speed A = 40mph

Time A = 4 hours

To find the distance covered in A;

Distance = speed * time

Distance = 40 * 4

Distance = 160 miles.

To find the speed required to cover the above distance in 1.5 hours;

Speed = distance/time

Speed = 160/1.5

Speed = 106.67mph

Which examples best demonstrate likely tasks for Legal Services workers? Check all that apply.

Cisco inspects an office building to make sure it meets fire safety regulations.
Gina gathers information about a court case.
Saul oversees inmates at a correctional facility.
Hana interviews and advises a person who has been accused of a crime.
Pamela pursues and arrests a person suspected of a crime.
Dewayne creates the paperwork for a business contract.

Answers

Answer:

b. d. f.

Explanation:

Got it right on Edge

Answer:

2. Gina gathers information about a court case.

4. Hana interviews and advises a person who has been accused of a crime.

6. Dewayne creates the paperwork for a business contract.

Determine the momentum of a system that consists of two objects. One object, m1, has a mass of 6 kg and a velocity of 13 m/s towards the east and a second object, m2, has a mass of 14 kg and a velocity of 7 m/s in that same direction.

Answers

Momentum = (mass) x (velocity)

Momentum m₁  =  (6 kg) x (13 m/s east)  =  78 kg-m/s east

Momentum m₂  =  (14 kg) x (7 m/s east)  =  98 kg-m/s east

Since they're both in exactly the same direction you can simply addum up to get their total momentum.  It's 176 kg-m/s east .

The  momentum of a system that consists of two objects should be 176 kg m/s on east hand side.

Calculation of the momentum:

Since we know that

Momentum = (mass) x (velocity)

So,

Momentum m₁  =  (6 kg) x (13 m/s east)  =  78 kg-m/s east

Momentum m₂  =  (14 kg) x (7 m/s east)  =  98 kg-m/s east

Since they are on same direction so the total momentum should be

= 78 + 98

= 176 kg-m/s east

hence, The  momentum of a system that consists of two objects should be 176 kg m/s on east hand side.

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Complete play the table by writing the location orientation size and type of image formed by the lenses below.


Please help me guyss!! :(​

Answers

Answ

Explanation:

HOPE IT HELPS..

The image formed by the location of object is beyond 2F the image by convex lenses is between F and 2F and is inverted, smaller and and real image. If it is at 2F, the image is inverted with the same size and real.

What is a convex lens ?

A convex lens is a type of lens that is projected outwards and shows the real image of an object.  Whereas a concave lens is curved inwards and shows virtual image of objects.

The image formed at by the location of convex lenses beyond 2F is inverted, smaller and and real image. If it is at 2F, the image is inverted with the same size and real. If the lens is placed between F and 2F the image formed is beyond 2F and it will be inverted, enlarged and real.

If the object is at F , no image will be formed. If it at between F and the lens, then the image forms beyond 2 F which is upright, enlarged and virtual.

The object be at any position with respect to the focal length of lens, the image formed by a concave lens is between F and the lens and upright, small and virtual.

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Need help with physics.
Question: A 65 kg child riding a Ferris wheel has a tangential speed of 9.5 m/s. Find the magnitude of the centripetal force on the child if the distance from the child to the axis of the wheel is 20 m.

Answers

The centripetal force : F = 293.3125 N

Further explanation

Given

mass = 65 kg

v = 9.5 m/s

r = 20 m

Required

the centripetal force

Solution

Centripetal force is a force acting on objects that move in a circle in the direction toward the center of the circle  

[tex]\large {\boxed {\bold {F = \frac {mv ^ 2} {R}}}[/tex]

F = centripetal force, N  

m = mass, Kg  

v = linear velocity, m / s  

r = radius, m  

Input the value :

F = 65 x 9.5² / 20

F = 293.3125 N

Two identical conducting spheres are charged with a net charge of +5.0 q on the first sphere and a net charge of −8.0 q on the second sphere. The spheres are brought together, allowed to touch, and then separated. What is the net charge on each sphere now?

Answers

Answer:

The net charge on each sphere is -1.5 q

Explanation:

Conductors are materials that allow the electrons which are the carriers of the charges to move between them, and when two conductors come in contact, the available charge is shared by the two conductors and the resultant like charges will spread on the surface of the conductor due to the repellent effect between similar charges such that if the conductors are identical, the resultant charge becomes evenly shared by the conductors when they become separated again

The given parameters of the conducting spheres meant to touch are;

The net charge on the first sphere, Q₁ = +5.0 q

The net charge on the second sphere, Q₂ = -8.0 q

The net charge on each sphere after touching and then separated, 'Q', is given as follows;

[tex]Q = \dfrac{Q_1 + Q_2}{2}[/tex]

Therefore, by substituting the known values of the variables, we have;

[tex]Q = \dfrac{5 \ q+ (-8 \ q)}{2} = -\dfrac{3 \ q}{2} = -1.5 \ q[/tex]

The net charge on each sphere, Q = -1.5 q.

The net charge on each sphere after spheres are brought together, allowed to touch is -1.5 q

What is charge?

Conductors are materials that allow the electrons which are the carriers of the charges to move between them, and when two conductors come in contact, the available charge is shared by the two conductors and the resultant like charges will spread on the surface of the conductor due to the repellent effect between similar charges such that if the conductors are identical, the resultant charge becomes evenly shared by the conductors when they become separated again

The given parameters of the conducting spheres meant to touch are;

The net charge on the first sphere, Q₁ = +5.0 q

The net charge on the second sphere, Q₂ = -8.0 q

The net charge on each sphere after touching and then separated, 'Q', is given as follows;

[tex]Q=\dfrac{Q_1+Q_2}{2}[/tex]

Therefore, by substituting the known values of the variables, we have;

[tex]\dfrac{5q+(-8q)}{2}=-1.5q[/tex]

Hence the net charge on each sphere after spheres are brought together, allowed to touch is -1.5 q

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Hell it’s due soon??

Answers

Explanation:

don't know don't know don't know

Outward.................

A force of 20N acted on a ball thereby imparting an impulse of 70N's to the ball. For how long did the force act on the ball?

Answers

Answer:3.5 seconds

Explanation:

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