Ricardo and Jane are standing under a tree in the middle of a pasture. An argument ensues, and they walk away in different directions. Ricardo walks 28.0 m in a direction 60.0∘ west of north. Jane walks 12.0 m in a direction 30.0∘ south of west. They then stop and turn to face each oth
Answers
Answer:
a) 24.33 m of distance.
b) 34.55° east of the south.
Explanation:
The question is incomplete. The whole exercise is the following:
"Ricardo and Jane are standing under a tree in the middle of a pasture. An argument ensues, and they walk away in different directions. Ricardo walks 28.0 m in a direction 60.0° west of north. Jane walks 12.0 m in a direction 30.0° south of west. They then stop and turn to face each other.
(a) What is the distance between them?
(b) In what direction should Ricardo walk to go directly toward Jane?"
Now that we know what we need to do in this question, let's head for every part of the problem.
a) Distance between Ricardo and Jane
In this case, we need to analyze the given data:
Ricardo (which we will call R) is 28 m from the starting point at 60° west of north, and Jane (J) is 12 m at 30° south of west. So the distance between them, will be the point where they both stop and face each other. This point can be seen in the image attached (See picture).
Let's call the distance between them as "D", to get the distance of D, according to the picture will be:
D = J - R (1)
However, as they are facing in different angles and directions, we cannot do the difference of their values distance just like that. In order to do that, we need to calculate the components in the "x" and "y" axis of each vector. In that way, we can get the components of x and y of the Distance D, and then, the whole distance between them will be:
D = √Dx² + Dy² (2)
So, let's get the components of x and y of R and J.
For Ricardo (R):
Rx = R sin60° = 28 sin60° = -24.25 m
Ry = R cos60° = 28 cos60° = 14 m
The sign "-" it's because R it's on the second quadrant, therefore in x, we'll have to add the negative.
For Jane (J):
Jx = J cos30° = 12 cos30° = -10.39 m
Jy = J sin30° = 12 sin30° = -6 m
Again, the negative is added because J is on the third quadrant.
Now that we have the components, let's calculate vector D using expression (1):
Dx = -10.39 - (-24.25) = 13.86 m
Dy = -6 - 14 = -20 m
Now, using expression (2) we can finally know the distance between Jane And Ricardo:
D = √(-20)² + (13.86)²
D = 24.33 mThis is the distance between Jane and Ricardo.
b) Direction of Ricardo walking to Jane
In this case, we already have the components of x and y of the distance between them, so, to know the direction:
Tanα = Dy/Dx
α = tan⁻¹ (Dy/Dx)
Replacing the values we have:
α = tan⁻¹ (-20/13.86)
α = 55.45°
Which should south of east or:
β = 90 - 55.45
β = 34.55°Ricardo should walk 34.55° east of south
Hope this helps
Related Questions
Would you do more work moving 100 boxes weighing 12N for 1m or moving a 1000N box, 30cm? Support your answer.
Answers
Answer:
The second box
Explanation:
Work done is the force applied to move a body through a particular distance.
Work done = Force x distance
For the first box:
Weight = 12N
Distance = 1m
Work done = 12 x 1 = 12J
For the second box;
Weight = 1000N
Distance = 30cm = 0.3m
Work done = 1000 x 0.3 = 300J
The second box has a higher work done.
These types of electromagnetic waves are listed in order of decreasing
frequency: gamma rays, visible light, infrared, and radio. Which type has the
greatest energy?
A. Radio
B. Infrared
C. Visible light
D. Gamma rays
Answers
D. Gamma rays
Enjoy the rest of your day/night :)
What are atoms doing that cause fireworks to change colors
Answers
Answer:
Heating atoms causes electrons to move from their ground-energy level to a higher energy level. When the excited electrons move to a lower energy level, they emit light with a specific energy and characteristic color.
Explanation:
Look it up
A distinct chemical reaction leads to the varied colors we perceive. Below you may find a further explanation.
The colors of explosions generated through the usage of metal salts were indeed distinct from table salts as well as chemical 'salt' corresponds toward any metallic or non-metallic compound's atomic complex.Several of these chemicals generate strong burning colors, making them suitable for explosives materials.Learn more about atoms here:
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A ramp is used to lift a box into a truck. The distance it is lifted is 1.5m. The box has a mass of 5kg. What amount of work must be completed in order to lift the box?
Answers
Answer:
The work completed is 73.5 Joule
Explanation:
Mechanical Work
Mechanical work is the amount of energy transferred by a force that moves an object by a certain distance. It's a scalar quantity, with SI units of joules.
Being the force and the displacement the work is calculated as:
W=F.s
The box of m=5 kg is lifted by a distance of s=1.5 m. The force applied to lift the box is equal to the weight of the box, assuming it's lifted at a constant speed, thus:
F = mg = 5 * 9,8 = 49 N
The work is:
W = 49 N * 1.5 m
W = 73.5 J
The work completed is 73.5 Joule
A box is pulled along a floor by a force of 3.0 N. The friction acting on the box is 1.0 N, as shown. How much kinetic energy does the box gain in moving 2.0 m
Answers
Answer:
4 J
Explanation:
From the image attached, we can see 2 horizontal forces acting on the box albeit in opposite directions.
Now, the net force will be;
F_net = 3 - 1
F_net = 2 N
To move a distance of 2 metres, kinetic energy is;
K.E = Force × Distance = 2 × 2 = 4 J
How long does it take a earth to rotate on its axis?
Answers
Answer:
23 hours, 56 minutes about 24 hours
Explanation:
(Im sorry if this is wrong please correct me if so. Good Luck)
State Newton's first law of motion
Answers
Answer:
His first law states that every object will remain at rest or in uniform motion in a straight line unless compelled to change its state by the action of an external force. This is normally taken as the definition of inertia.
Explanation:
Answer:
It states that: If a body is at rest or moving at a constant speed in a straight line, it will remain at rest or keep moving in a straight line at constant speed unless it acted upon by a force
Explanation:
ill mark as brainliest if given the option
Answers
Answer:
[tex]36 g/cm^{3}[/tex]
Explanation:
In order to find the density, the problem says we need to find the volume first.
Since we know that the sample of gold is a perfect cube, we know that the side lengths will all be the same. Since all the side lengths will be 3, we can take that value and cube it to find the volume.
[tex]3^{3} = 27[/tex]
Now that we know the volume is 27 cm³, we can solve find the density.
[tex]Density = \frac{Mass}{Volume}[/tex]
[tex]Density = \frac{972g}{27cm^{3} } = 36 g/cm^{3}[/tex]
Therefore, the density of the sample is 36 g/cm³.
Sandra takes a class field trip to a geology museum. She sees an interesting sample of igneous rock. She wonders if the material in this rock sample could have come from a sedimentary rock formation at Earth’s surface millions of years ago. Is this possible? Can sedimentary rock change into igneous rock?
Answers
Answer:
Yes
Explanation:
It is possible for sedimentary rocks to be converted to igneous rocks. Under conditions of high temperature and pressure, sedimentary rocks can be broken down into igneous rock by melting this rock type.
When the rock is broken down, it forms melt which when cooled and solidifies will form igneous rocks.
Sedimentary rocks are formed from the breaking down of pre-existing rocks through the action of weathering, erosion and sediment transportation. Within a basin, the sediments are compacted and lithified.
When this is subjected to intense pressure and temperature, the rock hardens and might further break down to melt.
1. A car is slowing down at a constant rate from 40 m/s to come to a stop. The acceleration is - 5 m/s2. How
much time will pass before the car is at rest?
Answers
Answer:
Explanation:
A force of 50 N begins to move a block of wood weighing 100 N on a
rough horizontal surface. Find the coefficient of static friction
Answers
Answer:
0.5
Explanation:
From the question given above, the following data were obtained:
Force (F) = 50 N
Weight (W) = 100 N
Coefficient of static friction (μ) =.?
The coefficients of static friction (μ) is simply defined as the ratio of force (F) to the normal reaction (N). Mathematically, it can be expressed as:
μ = F / N
With the above formula, we can obtain the coefficient of static friction as follow:
Force (F) = 50 N
Weight (W) = 100 N
Coefficient of static friction (μ) =.?
μ = F / W
μ = 50 / 100
μ = 0.5
Thus, coefficient of static friction is 0.5
A speed boat travels 200 miles at a speed of 20 miles/hr. How much time will it take to
travel the 200 miles?
Answers
Answer:it will take 10 hours
Explanation: The way we get this answer is if the boat travels 200 miles at 20 mph that means that every 20 miles the boat traveled an hour would pass. Using this we can see that 20 fits into 200, 10 times, meaning that the time it would take to travel would be 10 hours.
The time it will take to travel 200 miles is 10 seconds
The calculation can be done as follows
= 200/20
= 10 seconds
Hence the amount of time it will take the speed boat to travel 200 miles is 10 seconds
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true or false
one ton is equal to 10 quintal
Answers
Answer:
True
Explanation:
1 ton = 10 quintals
EARS: Two ears (E) is dominant to one ear (e). Both parents are heterozygous.
Answers
Answer:
what's the question
Explanation:
I don't understand the question
1) A tourist accidentally drops a camera from a 50.0 m high bridge. What is the speed of the camera as it hits the water? *
2) Determine the total displacement of a car that is initially at 10 m/s but then accelerates at 2 m/s^2 for five seconds. *
3) A car travels down a long straight road at 20 km/h for 0.60 h. How far does the car travel during this interval? *
4) A skateboarder slides down a ramp starting from rest and moving to 10 m/s in 12 seconds. How far will the skater travel during this time interval?
5) A runner travels south along a straight path for 5.5 h with an average velocity of 1.75 km/h, then travels south for 7.5 h with an average velocity of 0.90 km/h. What is the hiker’s displacement for the total trip? *
6) A runner accelerates from rest for 3.2 seconds. If the runner travels 24.6m, what is the runner's acceleration? *
7) A car moving at 5 m/s accelerates at 0.2 m/s^2 for one minute. How fast is the car moving? *
Can someone please answer these questions for me :))
Answers
Question:
1) A tourist accidentally drops a camera from a 50.0 m high bridge. What is the speed of the camera as it hits the water? *
Answer:
28.0 m/s
The height has a
distance of 5
meters if it takes
2.5 seconds to
hit the ground
what is Gravity?
Answers
Answer:
2.6
Explanation:
7 times
Answer these questions correcty first who answers it all correct gets cash
Answers
Answer:
I am extremely sorry, but I cannot answer your questions, because there aren't any.
Explanation:
I don't see any questions, or else my eyes are not working properly.
The greater a wave's amplitude, the___ energy the wave carries.
A: less
B: neither of these
C: more
Answers
Answer:
C) more
Explanation:
because the amplitude of a wave is the maximum displacement of a particle from its rest position, thus, the more energy there is, the higher the particle is displaced
hope this helps, if not, please report it so that someone else can try it
The greater a wave's amplitude, the more energy the wave carries. The correct option is C.
What is amplitude?
Due to the fact that the amplitude of a wave represents the maximum displacement of a particle from its rest position, the higher the displacement of the particle, the more energy there is.
The maximum displacement or distance made by a point on a vibrating body or wave relative to its equilibrium location is known as the amplitude in physics.
The wave's deviation from its mean position is referred to as amplitude. It measures the vertical separation of the peak (also known as the crest or trough) from the mean position. The distance between the center line (or the still position) and the top or bottom of a wave's crest or trough is known as the amplitude.
Therefore, the correct option is C: more.
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#SPJ2
A 7.2 kg bowling ball is accelerated with a force of 112,5 N.
What is the acceleration of the bowling ball?
Answers
Answer:
15.625 m/s
Explanation:
112.5/7.2 = 15.625 m/s
1. Al descomponerse su vehículo una persona tira de su auto con la ayuda de una cuerda con una fuerza de 3500 N que forma un ángulo de 45° con la horizontal. Calcula las componentes horizontal y vertical de dicha fuerza
Answers
Responder:
Fy = 2474,8737
Fx = 2474,8737
Explicación:
Dado que :
Dado:
Fuerza, F = 3500 N
Ángulo formado con la horizontal, θ, = 45 °
Los componentes de una fuerza se pueden descomponer en componentes verticales y horizontales.
El componente vertical Fy; y
El componente horizontal Fx
Fy = Fuerza * sinθ
Fy = 3500 * sin45 °
Fy = 2474,8737
El componente horizontal:
Fx = Fuerza * cosθ
Fy = 3500 * cos45 °
Fy = 2474,8737
In which of the following would you find the highest population density?
Question 1 options:
A. In a region with little to no rainfall
B. Along the Amazon River
C. In the peak of the Andes Mountain
D. In the Atacama Desert
get the right answer and i will give you points
Answers
I would think B, along the Amazon River. This is because of the warm climate ad lots of rainfall.
What does the number of valence electrons an atom has have to do with whether the atom
will gain electrons or lose electrons?
Answers
Answer:
A valence number of 1 means that an alement will generally react to lose one electron to obtain a full outer shell.
Group two elements are assigned a valence number of 2. A valence number 2 means that a group two elements will generally react to lose two electrons to obtain a full outer shell.
Explanation:
Hope it helps
drop a paper a piece of thermocol and a piece of plastic from a height of 10 to 15 feet not the time for each object to hit the ground why does paper take more time than thermocol and thermocol more than the plastic piece make the paper to fell down in such a way that it should hit the ground before all of them and how does it happen
Answers
Answer:
Explanation:
According to Newton's law of gravitation , all objects should take same time to fall from same height , but it does not happen when we see a paper , a thermocol and a plastic paper to fall .
It happens due to air resistance . In case of paper , this is most pronounced , so it falls slowest . In case of plastic paper , the resistance is least so it falls fastest .
If we squeeze the piece of paper to make a lump so that it does not remain flat , it will fall the fastest , because in this case the air resistance on it becomes the least .
blank is a measure of the percentage of water vapor in the air in a particular area
a. temperature
b. dew
c.point
d. relative humidity
Answers
Answer:
Relative humidity is a measure of the percentage of water vapor in the air in a particular area
Answer: relative humidity
Explanation:
Time and velocity are both vectors T/F
Answers
A car accelerates from rest in a straight line. During the first 14s, the acceleration is uniform and the car reaches the speed of 25m/s. Calculate the acceleration of the car.
Answers
Answer:
25/14 ms-1
Explanation:
apply V=U+AT
If Steve throws a football 40 m and it travels for 3 seconds, what was the balls velocity?
Answers
Answer:
13.4 m/s^2
Explanation:
40 divided by 3 equals 13.3 repeating.
A force of 25 newtons east and a force of 25
newtons west act concurrently on a 5.0-kilogram
cart. What is the acceleration of the cart?
A. 0 m/s2
B. 0.20 m/s2 east
C. 1.0 m/s2 west
D. 5.0 m/s2 east
Answers
Answer:
0
Explanation:
the forces gets cancelled off. hence when applying F=Ma, F=0 therefore a=o
The acceleration of the cart is 0m/s². Option A is correct.
According to Newton's second law of motion:
[tex]\sum F=ma[/tex]
m is the mass of the object
a is the acceleration
If a force of 25 newtons east and a force of 25 newtons, then the sum of force is expressed as:
[tex]\sum F = 25 - 25 =0N[/tex]
Get the acceleration
[tex]a=\frac{\sum F}{m} \\a=\frac{0}{5} \\a=0m/s^2[/tex]
Hence the acceleration of the cart is 0m/s²
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What might a scientist who studies thermodynamics experiment with in order to better understand cold
Answers
Answer:
A scientist who studies thermodynamics might experiment with the instant ice packs where you have to pop a bag on the inside to create a chemical reaction to make it cold.
PLEASE HELP DUE TODAY!
How does the mass of a moving object affect the amount of kinetic energy it has? Describe the evidence you need to collect to test your prediction, and include a reason why you think this evidence is necessary.
Answers
Answer:
Since the Kinetic energy forumla is K=(1/2)mv^2 if you double the mass the kinetic energy of the object also doubles. for example if your object has a mass of 3 and a velocity of 2 then its K.E. equals 6, if you then double its mass the kinetic energy now equals 12. A good analogy would be something like a bowling ball, if you throw a 12 pound ball at the same speed as a 6 pound ball, the force from the 12 pound ball would be exactly double to the 6 pound ball.
Explanation:
man, english isnt my strong suit. you have all you need here to make a A level answer just fix grammar as needed. I cant imagine this is a high level physics class so in reality just make it so it would be plagirsm detected.
Also a side note this may help you in the future. if u double its velocity its K.E. actually quadruples since V is squared.
