Plz help!
A person walks the path shown
below. The total trip consists of
four straight-line paths. At the end of the walk, what is the person's
resultant displacement measured from the starting point?
Answers
The analytical method for the sum of vectors allows to find the result for the sum of the vectors is:
The resulting vector has a modulus of R = 239.99 m and an angle of θ= 212.8º
The displacement is a vector quantity, therefore vector algebra must be used to perform the addition of vectors, in general there are two methods:
Graphic. In this case, the origin of a vector is placed at the tip of the previous one and the resulting vector goes from the origin of the first vector to the tip of the last, this method is not very precise. Analytical. In this method the vectors are decomposed into a coordinate system, the sum of the components is performed and the resulting vector is built, this method is very expensive.
Indicate in the graph a Cartesian coordinate system, let alone the West - East axis coincide with the x axis. Let's use trigonometry to decompose the vectors.
Vector A.
Aₓ = 100.0 m
Vector B.
B_y = -300.0 m
The negative sign indicates that it goes in the negative direction of the y-axis
Vector C.
We use trigonometry.
The angle measured from the positive side of the x-axis counterclockwise is
θ = 180 + 30 = 210
sin 210 = [tex]\frac{C_y}{C}[/tex]
cos 210 = [tex]\frac{C_x}{C}[/tex]
C_y = C sin 210
Cₓ = C cos 210
C_y = 150.0 sin 210 = -75.0 m
Cₓ = 150.0 cos 210 = -129.9 m
Vector D.
The angle from the positive side of the x-axis counterclockwise.
θ = 180-60 = 120º
sin 120 = [tex]\frac{D_y}{D}[/tex]
cos 120 = [tex]\frac{D_x}{D}[/tex]
D_y = D sin 120
Dₓ = D cos 120
D_y = 200.0 sin 120 = 173.2 m
Dₓ = 200.0 cos 120 = -100.0 m
we add the component with algebraic sum.
x = Aₓ + Cₓ + Dₓ
y = B_y + C_y + D_y
x = 100 - 129.9 -100 = -129.9 m
y = -300 - 75.0 + 173.2 = -201.8 m
We construct the resulting vector.
We use the Pythagorean theorem for the Modulus.
[tex]R+ \sqrt{x^2 +y^2}[/tex]
R = [tex]\sqrt{129.9^2 + 201.8^2 }[/tex]
R = 239.99 m
We use trigonometry for the angle.
tan θ = [tex]\frac{y}{x}[/tex]
θ = [tex]tan^{-1} \frac{y}{x}[/tex]
θ = [tex]tan^{-1} \frac{201.8}{129.9}[/tex]tan-1 (201.8 / 129.9)
θ = 57.2º
Since the two coordinates are negative, this angle is in the third quadrant; to measure it from the positive side of the x-axis.
θ = 270 - θ'
θ = 270 - 57.2
θ = 212.8º
In conclusion using the analytical method for the sum of vectors we can find the result for the sum of the vectors is:
The resulting vector has a modulus of R = 239.99 m and an angle of θ= 212.8º
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Related Questions
How to do this question plz
Answers
Answer:
Let L be the length of the wire.
N λ = M L where N is the number of wavelengths λ. Also, M and are integers and L is the length of the wire
There must be nodes at the ends of the wire and anti-nodes at the points of zero displacement - λ/2, λ, 3λ/ 2, etc.
The simplest would be 2 λ = L or L = λ / 2
In such a situation one would have
N-A-N or node-antinode-node
There is a 180 degree phase change upon reflection of the wave creating the standing wave
The distance between nodes or anti-nodes must be λ/2 and there must be nodes at the ends of the wire
Objects 1 and 2 attract each other with a gravitational force
of 18.0 units. If the mass of Object 1 is doubled mass of object 2 is tripled AND the
distance separating Objects 1 and 2 is halved, then the gravitational force will be
new gravitational force will be
units.
Answers
The new gravitational force of the two objects will be 432 N.
The given parameters:
Force between object 1 and object 2, F = 18 NLet the mass of object 1 = m1Let the mass of object 2 = m2Let the distance between the two object = rThe gravitational force between the two objects is calculated by applying Newton's law of universal gravitation;
[tex]F = \frac{Gm_1m_2}{r^2} \\\\G = \frac{Fr^2}{m_1m_2}\\\\G = \frac{Gm_1m_2}{r^2} \\\\G = \frac{18r^2}{m_1m_2}[/tex]
when the mass of the object 1 = 2m1mass of the object 2 = 3m2distance between the two object = ¹/₂r[tex]\frac{18r^2}{m_1 m_2 } = \frac{F_2(\frac{1}{2}r)^2 }{2m_1 \times 3m_2} \\\\\frac{18r^2}{m_1 m_2 } = \frac{F_2 \times r^2}{4 \times 2m_1 \times 3m_2} \\\\\frac{18r^2\times 4 \times 2m_1 \times 3m_2}{m_1 m_2\times r^2 } = F_2\\\\432 \ N = F_2[/tex]
Thus, the new gravitational force of the two objects will be 432 N.
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A student claims that the total momentum of a system of objects is conserved when there is no net force on the system.
To test the claim, the student uses a cue ball (white) and rolls it into an eight ball (black). When the balls collide, the cue
ball comes to a complete stop and the eight ball begins to move. The mass of the cue ball is 0.17 kg, and the mass of
the eight ball is 0.16 kg. A radar is used to measure the speed of the cue ball immediately before it comes in contact
with the eight ball, and another radar is used to measure the speed of the eight-ball immediately after the point of
contact. The cue ball approaches the eight ball at a speed of 4.00 m/s. After contact, the eight ball moves away from the
cue ball at a speed of 4.25 m/s. The scenario is shown in the picture.
Answers
The total momentum of the system is conserved and the momentum did not change.
The given parameters:
Mass of the white ball, m₁ = 0.17 kgMass of the black ball, m₂ = 0.16 kgInitial velocity of the white ball, u₁ = 4 m/sFinal velocity of the black ball, v₂ = 4.25 m/sThe initial momentum of the system is calculated as follows;
[tex]P_i = m_1 u_1 + m_2 u_2\\\\P_i = 0.17 \times 4 \ + \ 0.16(0)\\\\P_i = 0.68 \ kg m/s[/tex]
The final momentum of the system is calculated as follows;
[tex]P_f = m_1 v_1 + m_2 v_2 \\\\P_f = 0.17 (0) \ + 0.16(4.25)\\\\P_f = 0.68 \ kg m/s[/tex]
Thus, the total momentum of the system is conserved and the momentum did not change.
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what is q if 28.6 g of water is heated from 22.0°c to 78.3°c? the specific heat of water is 4.184 j/g·°c.
Answers
Answer:
6736 J
Explanation:
Knowing that Q = cmΔT:
Q = 4.184 J/(g·°C) · 28.6g · (78.3 °C - 22.0 °C) = 6736 J.
Use the drop-down menus to complete each statement. Is the process of charging an object without touching it. Is the process of charging a sphere by touching it with a charged rod.
Answers
The process of charging an object without touching it is called induction charging.
The process of charging a sphere by touching it with a charged rod is called charging by conduction..
When an uncharged object brings into the contact of the charged object but not touching the object directly, the uncharged object gets charged. This process of charging is called Induction Charging.
When an uncharged object brings in to the contact of the charged object by touching it directly, the uncharged object gets charged, This process of charging is called Conduction Charging.
When a charged rod touches the metal sphere, sphere gets same charged as the rod. The process of charging a sphere by touching it with a charged rod. is called conduction charging.
For more details about the conduction and induction charging, follow the link given below.
https://brainly.com/question/13599143.
Answer:
induction and conduction or 3,2 or c and b
Explanation:
edge 2022
Pravat exerts a force of 30 N to lift a bag of groceries 0. 5 m. How much work did Pravat do on the bag? Note : Work = Force x Distance 0 J 15 J 30 J 60 J.
Answers
Answer:
15 JExplanation:
The work done by an object can be found by using the formula
workdone = force × distance
From the question we have
workdone = 30 × 0.5 = 15
We have the final answer as
15 JHope this helps you
The amount of work done by Pravat if he exerts a force of 30 N to lift a bag of groceries 0.5m is 15J.
WORK DONE:The work done by a body can be calculated by multiplying the force exerted by the distance moved. That is;
Work done = force (F) × distance (m)
According to this question, Pravat exerts a force of 30N to lift a bag of groceries 0.5 m. The work done is calculated as follows:
Work done = 30N × 0.5m
Work done = 15J
Therefore, the amount of work done by Pravat if he exerts a force of 30 N to lift a bag of groceries 0.5m is 15J.
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How is the independent variable affected by the dependent variable
Answers
Answer:
A dependent variable is a variable that is tested in an experiment. An independent variable is that can be modified. Depending on what you are testing, the dependent variable will change accordingly to the dependent variable.
- I'm reading this back and it doesn't make much sense, if you want me to reword this I can
What force is responsible for how magma flows and rocks stack up on top of one another?
Question 6 options:
Electroweak and Strong
Nuclear
Electromagnetic
Gravitational
Answers
Gravitational force is responsible for how magma flows and rocks stack up on top of one another.
Gravitational force is the force hat attracts all objects to the center of the earth. The force of gravity accounts for the fact that when an object is thrown up, it falls back to the earth.The force that is responsible for how magma flows and rocks stack up on top of one another is the gravitational force.Hence, it is the gravitational force that is responsible for how magma flows and rocks stack up on top of one another.
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nitrogen dioxide is a major component of smog which type of chemical reaction creates this product?
a. synthesis reaction
b. replacement reactions
c. combustion reactions
d. decomposition reaction
Answers
Answer:
A.synrhesis reaction
#carryonlearning
an airplane flies with a constant speed of 620 miles per hour. how far can it travel in 3 1/2 hours?
Answers
Answer:
hi there !
1 hour -------> 620 miles
3 1/2 ---------> ?
the number of miles the airplane travels in 3 1/2 hours
= 3 1/2 × 620 = "2170" miles
How do you un rewrap something?
Answers
Please please help
Matter is made up of particles which
are too small to see without the aid of
a microscope. What do scientists call
these particles?
A.bonds
B.mixtures
C.energy
D.atoms
Answers
Answer:
D
Explanation:
how to find change in kinetic energy with velocity
Answers
Answer:
We know that ΔK = Kf - Ki = 1/2 m Vf^2 - 1/2 m Vi^2 = 1/2m(Vf^2-Vi^2) = 1/2 m ΔV^2.
The mass remains the same, just calculate the difference of squared velocities and multiply it by half of the mass.
Define the following:
Potential energy
Kinetic energy
Mechanical energy
Chemical energy
Sound energy
Light energy
Nuclear energy
Answers
Potential energy: In physics, potential energy is the energy held by an object because of its position relative to other objects, stresses within itself, its electric charge, or other factors.
Kinetic energy: In physics, the kinetic energy of an object is the energy that it possesses due to its motion. It is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity. Having gained this energy during its acceleration, the body maintains this kinetic energy unless its speed changes.
Mechanical energy:
Chemical energy: chemical energy, Energy stored in the bonds of chemical compounds. Chemical energy may be released during a chemical reaction, often in the form of heat; such reactions are called exothermic. Reactions that require an input of heat to proceed may store some of that energy as chemical energy in newly formed bonds
Sound energy: In physics, sound energy is a form of energy that can be heard by living things. Only those waves that have a frequency of 16 Hz to 20 kHz are audible to humans. However, this range is an average and will slightly change from individual to individual.
Light energy: Light energy is a kind of kinetic energy with the ability to make types of light visible to human eyes. Light is defined as a form of electromagnetic radiation emitted by hot objects like lasers, bulbs, and the sun. Light contains photons which are minute packets of energy.
Nuclear energy: Nuclear power is the use of nuclear reactions to produce electricity. Nuclear power can be obtained from nuclear fission, nuclear decay and nuclear fusion reactions. Presently, the vast majority of electricity from nuclear power is produced by nuclear fission of uranium and plutonium in nuclear power plants
Answer
potential energy is the energy that is stored in an object due to its position relative to some zero position. An object possesses gravitational potential energy if it is positioned at a height above (or below) the zero height.
Kinetic energy is a form of energy that an object or a particle has by reason of its motion. ... Kinetic energy is a property of a moving object or particle and depends not only on its motion but also on its mass.
The energy of an object due to its motion or position; the sum of an object's kinetic energy and potential energy is called mechanical energy.
Energy stored in the bonds of chemical compounds. Chemical energy may be released during a chemical reaction, often in the form of heat; such reactions are called exothermic
Sound energy is defined as the movement of vibrations through matter. Sound energy is produced when an object vibrates, which results in noise. The sound vibrations cause waves of pressure that travel through a medium, such as air, water, wood, or metal.
Light energy is a kind of kinetic energy with the ability to make types of light visible to human eyes. Light is defined as a form of electromagnetic radiation emitted by hot objects like lasers, bulbs, and the sun. Light contains photons which are minute packets of energy.
Nuclear energy is energy in the nucleus (core) of an atom. ... It can be released from atoms in two ways: nuclear fusion and nuclear fission. In nuclear fusion, energy is released when atoms are combined or fused together to form a larger atom. This is how the sun produces energy.
A 3.1 kg carton's GPE was increasing by 7.8 J as it was lifted above the ground. How high was it lifted?
Answers
Answer:it was lifted
Explanation:
by me lifting it because i can life it very high
1. A ball rolls off a desk at a speed of 3.0 m/s, lands 0.40 seconds later, and lands 1.2 m away from the desk
b) how high is the desk
Answers
Answer:
0.784m
Explanation:
This is a projectile motion problem so we analyze the horizontal and vertical motions separately. Since the question is asking for the height of the desk, it shows we need to analyze the vertical motion.
what is the potential energy of a 2kg plant that is on a windowsill 1.3 m high?
what is the kinetic energy of a 7.26 kg bowling ball that is rolling at a speed of 2 m/s
an apple as 6 J of energy. the apple sits on a counter 3 m high. what is the mass of the apple/
Answers
Answer:
25.48
Explanation:
There can be multiple equal & opposite forces acting on a singular object?
True or False
Answers
Answer:
true
Explanation:
negative positive horizontal vertical gravity, friction and more
45. What is the wovelength of a 30. Hertz periodic
wave moving ol 60. meters per second?
a. 0.50m
c. m
b 20m
d 1800 m
Answers
The wavelength is 2m.
Hence, Option c) 2m is the correct answer
Given that;
Frequency; [tex]f = 30Hz[/tex]
Speed; [tex]v = 60m/s[/tex]
Wavelength; [tex]\lambda =\ ?[/tex]
using the expression for the relations between wavelength, frequency and speed of wave:
[tex]\lambda = \frac{v}{f}[/tex]
Where [tex]\lambda[/tex] is wavelength, f is frequency and v is speed.
We substitute our given values into the equation
[tex]\lambda = \frac{60m/s}{30Hz}\\\\\lambda = \frac{60m/s}{30s^{-1}}\\\\\lambda = 2m[/tex]
The wavelength is 2m.
Hence, Option c) 2m is the correct answer.
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The frequency of the moving wave is 30 Hz and if it is moving at the speed of 60 m/s then the wavelength will be equal to 2 m.
What is Wavelength?The distance between two identical locations (adjacent crests) in successive cycles is known as the wavelength, and it is used to describe waveform signals that are transmitted over wires or into space. Typically, in wireless systems, this length is specified in meters (m), centimeters (cm), or millimeters (mm).
The wavelength is more frequently described in nanometers (nm), which are units of 10⁻⁹ m, or angstroms, which are units of 10⁻¹⁰ m, for infrared (IR), visible light (UV), and gamma radiation.
As per the provided given data in the question,
Frequency, f = 30 Hz
Speed, v = 60 m/s
Then, the wavelength of the moving wave will be,
λ = v/f
= 60/30
λ = 2 meters.
Therefore, the wavelength will be 2 meters.
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What are the rest of the blanks?
Answers
The definition of energy is the ability to ___________.
(Hint: one word)
Answers
A wave has frequency of 50 Hz and a wavelength of 10 m. What is the speed of the wave?
I need the Formula,Known,Substitute & Solve Answer with Units
Answers
Answer:
This is the answer that I got.
Explanation:
Hope it is right.
A 100 g mass of tungsten at 100.0°C is placed in 200 g of water at 20.0°C. The
mixture reaches equilibrium at 21.6°C. Calculate the specific heat of tungsten
Answers
If you,
q= 100g x 4.186 j/g*degrees C * (21.6 degrees C- 20.0 degrees C) which equals to 1.6.
So q= 100g * 4.186 j/g*deg C * 1.6
The specific heat capacity of tungsten given the data from the question is 0.17 J/gºC
Data obtained from the questionMass of tungsten (M) = 100 g
Temperature of tungsten (T) = 100 °C
Mass of water (Mᵥᵥ) = 200 g
Temperature warm water (Tᵥᵥ) = 20 °C
Specific heat capacity of the water (Cᵥᵥ) = 4.184 J/gºC
Equilibrium temperature (Tₑ) = 21.6 °C
Specific heat capacity of tungsten (C) = ?
How to determine the specific heat capacity of tungstenHeat loss = Heat gain
MC(T – Tₑ) = MᵥᵥCᵥᵥ(Tₑ – Tᵥᵥ)
100 × C × (100 – 21.6) = 200 × 4.184(21.6 – 20)
100 × C × 78.4 = 1338.88
Divide both sides by 100 × 78.4
C = 1338.88 / (100 × 78.4 )
C = 0.17 J/gºC
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how to find acceleration with force and mass calculator
Answers
Answer:
[tex]{ \rm{F=ma}} \\ [/tex]
Explanation:
F is forceM is massa is accelerationAnswer:
Please thank, answer below
Explanation:
Acceleration = (Final velocity - starting velocity)/time
Or, Force = mass * accelartion, which can be rewritten to be Accelaration = Force/mass
if the speed of a car is increased by 50%, bywhat factor will its minimum braking distance be increased, assuming all else is the same?
Answers
When the speed of a car increases by a factor of 50%, the minimum braking distance will also be increased by a factor.
Braking distance will increase by a factor 2.25
Solution
From Newton's equation of motion, we can say that;
v² = u² + 2as
Where initial velocity is zero, we have;
v² = 2as
s = v²/2a
s is the distance and v is the final speed.
50% increase in speed means it has increased by a factor of 1.50
Hence we have
1.50²v² is directly proportional to the 1.50²d
Distance = 1.50²v² = 2.25d
Hence, breaking distance will increase by a factor 3.0625
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A crate slides down a ramp that makes a 20∘ angle with the ground. To keep the crate moving at a steady speed, Paige pushes back on it with a 68 N horizontal force.
Part A
How much work does Paige do on the crate as it slides 3.0 m down the ramp?
Answers
Answer:
the answer is 69.7687j
Explanation:
W =F sin Φ
a 25 kg cart has 125 kg*m/s of momentum, how fast is the car going
Answers
Answer:
5m/s
Explanation:
equation for momentum is mass times velocity
25 x 5 = 125
The smallest possible particle of complete matter is the atom. True or false?
true
false
Answers
Answer:
TRUE !!
Explanation:
An atom is the smallest particle of an element
Define the following:
Variable
Data
Control
Technology
Hypothesis
Physical Science
Experiments
Answers
Answer:
Variable- not consistent or having a fixed pattern; liable to change
Data- facts and statistics collected together for reference or analysis
Control- a group or individual used as a standard of comparison for checking the results of a survey or experiment
Technology- the application of scientific knowledge for practical purposes, especially in industry
Hypothesis- a supposition or proposed explanation made on the basis of limited evidence as a starting point for further investigation
Physical Science- the sciences concerned with the study of inanimate natural objects, including physics, chemistry, astronomy, and related subjects
Experiments- a scientific procedure to make a discovery, test a hypothesis, or demonstrate a known fact
Explanation:
Both igneous and sedimentary rock can become metamorphic rock if enough ________________ are applied.
Answers
I hope this helps.