Sometimes we will want to write vectors in terms of a coordinate grid. To show a vector points
horizontally (along the x-axis), place an x after the magnitude of the vector. To show a vector point
vertically (along the y-axis), place a y after the magnitude.
4) Using the notation above,
i. How would you write d1?
ii. How would you write d2?
iii. How would you write dtotal?
d1=(0,5)
d2=(5,5)
Answers
Answer:
III) \(d_{1}+ d_{2}=d_{t}\)
Explanation:
I) coordinate (0,5) is the head for \(d_{1}\) I will put the tail coordinate as (0,0) but it could be any other number in the x just not in the 5 with the the y being any other value.
II) coordinate (5,5) is the head for \(d_{2}\) the tail needs to be in the head of \(d_{1}\) being (0,5)
III) coordinates for \(d_{t}\) is connecting the tail from \(d_{1}\) and the head of \(d_{2}\) making it (0,0)\((tail)\) and (0,5)\((head)\) and is written as \(d_{1}+ d_{2}=d_{t}\)
(i) using coordinate grid notation to represent d₁, d₁ = 5y
(ii) using coordinate grid notation to represent d₂, d₂ = 5x + 5y
(ii) The sum of d₁ and d₂ is written as 5x + 10y
In order to show the horizontal direction of a vector, we will place x after the magnitude of the vector.
Also, to show the vertical direction of a vector, we will place a y after the magnitude of the vector.
(i) Using coordinate grid to represent d₁ = (0, 5)
\(d_1 = 0(x) + 5(y)\\\\d_1 = 5y\)
(ii) Using coordinate grid to represent d₂ = (5, 5)
\(d_2 = 5x + 5y\)
(iii) The total vector is written as;
\(d_1 + d_2 = 5y + (5x + 5y)\\\\d_1 + d_2 = 5y + 5x + 5y\\\\d_1 + d_2 = 5x + 10y\)
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Related Questions
The distance from Earth to the star Proxima Centauri is 4.01 × 10^13 kilometers. What is this distance in lightyears? One light year is equal to 9.46 × 10^12 kilometers.A. 0.424 light yearsB. 4.24 light yearsC. 42.4 light yearsD. 424 light years
Answers
Given:
The distance from the earth to Proxima Centauri is
\(d=\text{ 4.01}\times10^{13}\text{ km}\)Also,
\(1\text{ light year = 9.46 }\times10^{12}\text{ km}\)To find the distance between the earth and Proxima Centauri in light-years.
Explanation:
The distance from the Earth to the Proxima Centauri is
\(\begin{gathered} d=\frac{4.01\times10^{13}}{9.46\times10^{12}} \\ =\text{ 4.24 light years} \end{gathered}\)Thus, the correct option is B
what are the very small particles that make up matter
Answers
Hope this helps!!
Answer:
The very small particles that make up matter are I) Atoms
Matter - Anything that have mass and occupies space is called matter . it is made up of atoms and molecules
Atoms - The smallest part of matter is called atom.
Molecule - Group of atoms combine together to form a molecule.
More to know - Atom is made up of even smaller particles called neutron, proton and electron. Electron moves around nucleus ( nucleus is made up of neutron and proton) Different types of atom combine and form molecule ( Nitrogen dioxide No2 has 1 atom of nitrogen and 2 atoms of oxygen)Find the slope of each of the following lines.
5. Two points on the line are (1,1) and (5,9)
6. Two points on the line are (0,0) and (-3,6)
help asap..
Answers
Answer: 2, -2
Explanation:
5th answer: Slop= (9-1)÷(5-1) = 2
6th answer: Slop= (6-0)÷(-3-0) = -2
Need some help with some physics work. i dont want overdue homework.
1.which of the following best describes a scalar value?
a. a measurement in more than one dimension that involves a magnitude and direction
b.a measurement in a single dimension that involves more than one number
c. a measurement that easily scales from one dimension to another
d. a measurement in a single dimension that involves only one number.
2.which of the following is an accurate statement about vectors?
a. rotating a vector about an axis passing through the tip of the vector does not change the vector.
b. the magnitude of a vector can be zero even if one of its components is not zero.
c. if two vectors have unequal magnitudes it is possible that their vector sum is zero.
d. it is possible to add a scalar quantity to a vector
e. the magnitude of a vector may be positive even if all of its components are negative.
that all i need. any help is welcome. thanks in advance.
Answers
Answer:
1.) B
2.) E
Explanation:
A scalar quantity is the quantity in which we consider only it magnitude but not its direction.
1.) which of the following best describes a scalar value?
The best option is D and
The best answer is
d. a measurement in a single dimension that involves only one number
Also, Vector quantity is the quantity in which we consider both the magnitude and the direction.
2.) Which of the following is an accurate statement about vectors?
The best option is E
And the best answer is:
the magnitude of a vector may be positive even if all of its components are negative.
For instance, if two vectors are moving in a south and west direction, the resultant vector will still be positive.
Does The stretched string of an archer’s bow has kinetic energy in it.
Answers
Answer:
The ball has potential energy just like the Longbow has when it is stretched. The other aspect of energy that the bow portrays is kinetic energy. Kinetic energy is the energy of motion. When the string is released, the potential energy is converted to kinetic energy in movement of the arrow
Explanation:
Answer:
It has potential energy not kinetic
Explanation:
A force of 3 newtons moves a 10 kilogram mass horizontally a distance of 3 meters. The mass does not slow down or speed up as it moves. Which of the following must be true?
a) 9 joules of kinetic energy were produced
b) 9 joules of gravitational potential energy were produced
c) 9 joules of heat energy were produced
d) 9 joules of kinetic energy and heat were produced
Answers
Answer:
9 joules of heat energy was produced
Explanation: there is no acceleration therefore its not a kinetic energy
Energy= force × distance
= 3×3
=9
An rectangular tank 5 m long, 2 m wide, and 8 m high is filled to a depth of 5 m of water. Set up the integral that would compute the work needed to pump the water out of a spout located at the top of the tank. Use the location of the origin and the direction of the positive axis as specified in the different parts. Note: Do not input values for the constant p9
(A) The origin is at the top of the tank with with positive y-values going down pg dy
(B) The origin is at the bottom of the tank with positive y-values going up. pg dy
(C) The origin is at the water level of the tank with positive y-values going down. dy
Answers
Answer:
A) 300 P9
B) 275 P9
C) 225 P9
Explanation:
Given data:
Rectangular tank : 5m long , 2m long and 8 m high
filled to a depth of 5 meters
attached below is a detailed solution of the problems
A ) The work-done to move M through depth y to top
W = 300 P9
B) work-done in moving the mass from a height y above origin
W = 275 p9
C) work-done = 225 p9
Defination coulomb's law.
Answers
Answer:
a law stating that like charges repel and opposite charges attract, with a force proportional to the product of the charges and inversely proportional to the square of the distance between them.
If you pull with a constant force of 400n , how much mechanical work does it take to pull pinball launcher back 0.2meters
Answers
If you pull with a constant force of 400 N for 0.2 meters, then the work done will be equal to 80 J.
What is Work?In physics, the word "work" involves the measurement of energy transfer that takes place when an item is moved over a range by an externally applied, at least a portion of which is applied within the direction of the displacement.
The length of the path is multiplied by the element of a force acting all along the path to calculate work if the force is constant. The work W is theoretically equivalent towards the force f times the length d, or W = fd, to portray this concept.
As per the given information in the question,
Force, f = 400 N
Displacement, d = 0.2 meters
\(Work done(W)=Force(f)*Displacement(d)\)
W = 400 × 0.2
W = 80 J.
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What is sound waves
Answers
Sound waves are a type of mechanical wave that propagate through a medium, typically air but also other materials such as water or solids.
Characteristics of sound wavesFrequency: the frequency of a sound wave refers to the number of cycles or vibrations it completes per second and is measured in Hertz (Hz).
Amplitude: the amplitude of a sound wave refers to the maximum displacement or intensity of the wave from its equilibrium position. It represents the loudness or volume of the sound, with larger amplitudes corresponding to louder sounds and smaller amplitudes corresponding to softer sounds.
Wavelength: the wavelength of a sound wave is the distance between two consecutive points in the wave that are in phase, such as from one peak to the next or one trough to the next. It is inversely related to the frequency of the wave.
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A ball is thrown in the air so that its height h after t seconds is given by the function h(t) = -16t^2 + 144t. Find the number of seconds the ball is in the air when it reaches a height of 128 feet. After how many seconds will the ball hit the ground?
Answers
Answer:
a. 1 second
b. 9 seconds
Explanation:
Part A.
To find the time when the ball reaches the height of 128 ft, we put h(t) = 128 into our equation and get
\(128=-16t^2+144t\)We rearrange the above equation to write it in a more familiar form by subtracting 128 from both sides
\(-16t^2+144t-128=0\)The above equation is quadratic, and therefore, we can solve for t using the quadratic formula.
The quadratic formula gives
\(t=\frac{-144\pm\sqrt[]{114^2-4(-16)(-128)}}{2(-16)}\)which upon simplification gives us the following solutions.
\(\begin{gathered} t=1 \\ t=8 \end{gathered}\)Hence, 1 and 8 seconds after the throw, the ball is at a height of 128 ft.
Since we want the earliest time, from the two values of t we choose t = 1 as our relevant answer.
Part B.
When the ball hits the ground, its height above the ground is zero. Therefore, we put h= 0 into our formula and get
\(0=-16t^2+144t\)To solve for t, we first add 16t^2 to both sides and get
\(16t^2=144t\)dividing both sides by 16t gives
\(\frac{16t^2}{16t}=\frac{144t}{16t}\)\(\boxed{t=9.^{}}\)Hence, the ball hits the ground 9 seconds after the launch.
Earthquakes have two kinds of waves, P waves and S waves. These waves may someday help scientist develop an early warning system for earthquakes. The P wave (also known as the primary wave) is the first wave, and the S wave (secondary wave) travels after it. Scientists can find the location of an earthquakes epicenter by subtracting the time that elapses between the P and S waves. A convenient way to find the epicenter is to use a graph like the one shown here.
Suppose that scientists record a P wave on a seismic device at 10 minutes. An s wave reaches the device at 15 minutes (5 minutes later). What is the distance between the recording device and the epicenter of the earthquake? Use the graph to determine your answer.
Answers
Answer:
42
Explanation:
Multiply the difference by 8.4 to estimate the distance. ( kilometers )
P wave = 10
S wave = 15
Difference = 5
8.4 * 5 = 42
The initial wave (P wave) is less severe and moves faster, whereas the more damaging S wave moves slowly.
What is seismic waves?When an earthquake happens, it sends forth energy waves known as seismic waves. It's similar to the ripples that occur when a stone is thrown into water.
Here, There are two types of waves: P waves and S waves.
P waves travel faster and are formed first; they go in the exact opposite direction from where the earthquake occurs.
S waves, or secondary waves, on the other hand, are slower and travel in a perpendicular direction.
When these waves are generated in particular facilities, scientists can detect them.
The difference between time = 15 – 10 = 5
From the graph:
=8.4×5
= 42
Thus, the initial wave (P wave) is less severe and moves faster, whereas the more damaging S wave moves slowly.
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True or False?The sun is the only star in our solar system.
Answers
Given:
The sentence is 'The sun is the only star in our solar system.'
To find:
The sentence is true or false
Explanation:
The center of our solar system is the sun. Everything in our solar system revolves around it and it is the only star in our solar system.
Hence, the sentence is true.
Obtain the formula for the focal length of a lens in terms of object distance (u)
and magnification (m)
Answers
Answer:
m=image distance÷object distance
If a 8.1g ring is heated using 10.0 ), its temperature rises 21.7°C. Calculate the specific
heat capacity of the ring.
Answers
forces applied to the collision
Answers
Answer: I think this is the answer, In a collision, there is a force on both objects that causes an acceleration of both objects; the forces are equal in magnitude and opposite in direction. For collisions between equal-mass objects, each object experiences the same acceleration.
Explanation: I had a question similar to this, Hope this helps!
calculate Fe between two electrons and two protons respectively. the distance between charges is 5 x 10 exp-2 m
Answers
Given,
The distance between the charges is r=5×10⁻² m
From Coulomb's law, the force between two charges is given by,
\(F_e=\frac{kq_1q_2}{r^2}\)Where k is the coulomb's constant, q₁ and q₂ are the charges.
The magnitude of the charge of proton and electron is q=1.6×10⁻¹⁹ C
Thus the force between the two electrons and two protons is,
\(\begin{gathered} F_e=\frac{9\times10^{-9}\times1.6\times10^{-19}\times1.6\times10^{-19}}{(5\times10^{-2})^2} \\ =9.22\times10^{-26}\text{ N} \end{gathered}\)Thus the force between two electrons and two protons respectively is 9.22×10⁻²⁶ N
3. A car with a mass of 1600 kg has a kinetic energy of 125 000 J. How fast is it moving?
Answers
The car is moving at approximately 12.5 meters per second.
The kinetic energy (KE) of an object can be calculated using the formula:
KE = 1/2 * m * \(v^2\)
where
KE = kinetic energy,
m =Mass of the object, and
v = velocity.
In this case, we are given the mass (m) of the car as 1600 kg and the kinetic energy (KE) as 125,000 J. To find the velocity .
Substituting the values , we have:
125,000 J = 1/2 * 1600 kg *\(v^2\)
Now, we can solve for v by rearranging the equation:
\(v^2\) = (2 * 125,000 J) / 1600 kg
\(v^2\) = 156.25 \(m^2/s^2\)
Taking the square root, we find:
v = √156.25\(m^2/s^2\)
v ≈ 12.5 m/s
Therefore, the car is moving at approximately 12.5 meters per second.
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1. A hot air balloon weighing 30 N is tied to the ground by a string to prevent
from floating off the ground. The volume of the balloon is 20 m and the
density of air is 1.3 kgm ?. Find:
a. upthrust acting on the balloon. Take g = 10 ms 2.
b. force exerted by the rope on the balloon?
Answers
Answer:
a) FB = 260 [N]
b) FT = 230 [N]
Explanation:
In order to solve this problem we must use a static analysis, since Globe does not move. For a better understanding in solving this problem, a free body diagram with the forces acting on the globe is attached.
The buoyant force acts upward as it causes the balloon to tend to float, the weight of the balloon tends to lower the balloon and the downward tension force does not allow the balloon to float
The buoyant force is defined by the following equation:
FB = Ro*V*g
where:
FB = Buoyant force [N]
Ro = density of the air = 1.3 [kg/m^3]
V = volume of the balloon = 20 [m^3]
g = gravity acceleration = 10 [m/s^2]
FB = 1.3*20*10 = 260 [N]
Now we do a sum of forces equal to zero in the y-axis
FB - 30 - FT = 0
260 - 30 = FT
FT = 230 [N]
Sources of error could have come from friction that may result in energy losses during the collision, The gliders may not be perfectly elastic, which means that some energy may be lost during the collision
are these errors random or systematic errors?
Sources of error could have come from small amounts of friction, and glider 2 could have not been totally at rest. These errors are systematic errors.
Are these errors random or systematic?
Answers
Answer:
The first set of errors, which include friction and imperfect elasticity, are systematic errors because they arise from consistent factors that affect the measurements in a predictable way. These errors will be present in every trial of the experiment and will cause a consistent deviation from the true value.
The second set of errors, which include small amounts of friction and the initial velocity of glider 2, are also systematic errors because they arise from consistent factors that affect the measurements in a predictable way. These errors will also be present in every trial of the experiment and will cause a consistent deviation from the true value.
Explanation:
Given the functions f(x)=(1/x-3)+1 and g(x) = (1/1+4)+3
Which statement describes the transformation of the graph of function f onto the graph of function g?
O The graph shifts 2 units right and 7 units down.
O The graph shifts 7 units left and 2 units up.
O
e graph shifts 7 units right and 2 units down.
O The graph shifts 2 units left and 7 units up.
Answers
The statement that describes the transformation of the graph of function f onto the graph of function g is: The graph shifts 2 units right and 7 units down.
To determine the transformation of the graph of function f onto the graph of function g, we compare the two functions f(x) and g(x) and observe the changes in the equations.
The function f(x) = (1/x - 3) + 1 represents a reciprocal function that is shifted vertically 1 unit up and horizontally 3 units to the right. The reciprocal function is reflected about the line y = x.
The function g(x) = (1/(1 + 4)) + 3 simplifies to g(x) = 4 + 3 = 7, which is a constant function representing a horizontal line at y = 7.
By comparing the equations, we can see that the transformation from f(x) to g(x) involves the following changes:
The term 1/x in f(x) is replaced by the constant 1/(1 + 4) in g(x), resulting in a vertical shift of 7 units up.
The term -3 in f(x) is replaced by 3 in g(x), resulting in a vertical shift of 3 units up.
The +1 in f(x) is replaced by +3 in g(x), resulting in an additional vertical shift of 2 units up.
Therefore, the overall transformation is a shift of 2 units to the right and 7 units down.
Hence, the correct statement is: The graph shifts 2 units right and 7 units down.
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A person is standing on the very end of a 2 m long board that is level and balanced. The balance point is 0.20 m from the end the person is on. The board has a mass of 20 kg.a) What is the mass of the person?
Answers
Given data:
* The length of the board is L = 2 m.
* The distance of the person from the center of the board is d = 1 m.
* The distance of the balancing point from the person is x = 0.2 m.
* The mass of the board is m_1 = 20 kg.
Solution:
The diagrammatic representation of the given case is,
From the diagram, the beam is in a balanced state under the action of the weight of the person as well as the weight of the board.
Thus, the moment about the center of the gravity (taking anticlockwise as positive and clockwise as negative) is,
\(M=m_1\times(d-x)-m_2\times x_{}\)where m_2 is the mass of the person,
The net moment is zero, as the board is in a balanced state,
Substituting the known values,
\(\begin{gathered} 0=20\times(1-0.2)-m_2\times0.2 \\ 0=20\times0.8-m_2\times0.2 \\ 0.2m_2=16 \\ m_2=\frac{16}{0.2} \end{gathered}\)By simplifying,
\(m_2=80\text{ kg}\)Thus, the mass of the person is 80 kg.
A magnesium ion has a charge of +2 and an oxygen ion has a charge of –2. What is the chemical formula of the compound made of these ions? (correct answer gets brainliest)
A) Mg2O2
B) MgO
C) MgO2
D) Mg2O
Answers
the charges cancel out :)
Write a hypothesis about how the mass of the cylinder affects the temperature of the water. Use the "if . . . then . . . because . . .” format and be sure to answer the lesson question: "How is potential energy converted to thermal energy in a system?”
Answers
Hypothesis, If the mass of the cylinder increases, then the temperature of the water will also increase because an increase in mass leads to greater potential energy, which is converted to thermal energy in the system.
According to the principle of conservation of energy, energy cannot be created or destroyed but can be transformed from one form to another. In this case, potential energy from the mass of the cylinder can be converted into thermal energy in the system. When the cylinder is lifted and submerged in the water, it possesses gravitational potential energy due to its elevated position.
As the cylinder is released and descends into the water, this potential energy is converted into kinetic energy, causing the water molecules to move and collide with higher energy. These collisions generate heat and increase the overall temperature of the water. By increasing the mass of the cylinder, more potential energy is stored.
As a result, there is a greater amount of energy available to be converted into thermal energy when the cylinder is released into the water. Thus, the temperature of the water is expected to increase as the mass of the cylinder increases.
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What force pushes the plane upwards
Answers
Answer: The force that pushes a plane upwards is the lift generated by the wings as the plane moves through the air. The lift force is created by the difference in air pressure above and below the wings, which creates an upward force that opposes the weight of the plane.
Which part of a road vehicle must be tested to ensure that there is sufficient friction to stop the vehicle in an emergency?
Answers
The part of a road vehicle which must be tested to ensure that there is sufficient friction to stop the vehicle in an emergency is the tyre.
What is Friction?This is referred to as a force that resists the motion of one object against another when they roll or slide against each other.
When dealing with braking, the main factor is to have sufficient friction between the road surface and tyre to bring the vehicle to a standstill. If the tyres are wornout there won't be enough friction to make the vehicle stop during emergencies which is therefore the reason why it was chosen as the correct choice.
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Question 2: Start-Up
Now you will use another Tracker experiment to examine the displacement, velocity, and acceleration of a car in the x (horizontal) direction. To
begin your investigation, open the Tracker Car Start-up experiment.
Part A
Play () the video. At the end, rewind (H) and step forward (►) one frame ata time to observe the step-by-step changes in position. Based on
your observations, describe the car's displacement (distance and direction from the starting place) over time.
Answers
Answer:
The car starts moving in the positive direction at x = 0.2 seconds. Initially it moves very little, but it covers a greater distance with each time increment.
Explanation:
Answer: The car starts moving in the positive direction at x = 0.2 seconds. Initially it moves very little, but it covers a greater distance with each time increment.
Explanation: edmentum sample answer
A man pulls a refrigerator using 48 N of force. The refrigerator accelerates 0.35 m/s2. What is the mass of the refrigerator?
Answers
Answer:
Explanation:
Formula
F = m * a
Givens
F = 48 N
a = 0.35 m/s^2
m = ??
Solution
F = m * a Substitute the givens
48 = m * 0.35 Divide by 0.35
48 / 0.35 = m *0.35/0.35
137.1 kg = mass
5.5A Two similar dielectric ellipsoids are placed in an electric field as shown in Fig. P5.5. For which orientation is the depolarization factor larger? Give qualitative reasons. Fig. P5.5 (a) (b) E
Answers
In order to determine which orientation results in a larger depolarization factor for the similar dielectric ellipsoids placed in an electric field, we need to consider the shape and alignment of the ellipsoids with respect to the electric field.
The depolarization factor measures the reduction in the electric polarization of a material due to its shape and alignment in an electric field. It is influenced by the geometry of the material and how it interacts with the electric field.
Qualitatively, if the ellipsoids are aligned in such a way that their major axes are parallel to the electric field lines, the depolarization factor would be smaller. This is because the electric field would act along the long axis of the ellipsoid, resulting in less distortion of the polarized charges inside the material. The polarization would be more effectively aligned with the electric field, minimizing the depolarization effect.
On the other hand, if the ellipsoids are oriented such that their major axes are perpendicular or at an angle to the electric field lines, the depolarization factor would be larger. In this case, the electric field would act in a direction that is not aligned with the major axis of the ellipsoid, causing more distortion and misalignment of the polarized charges inside the material. This results in a larger depolarization effect.
Without a specific diagram or more information about the orientations shown in Figure P5.5, it is difficult to determine the exact orientation with the larger depolarization factor. However, based on the general understanding of the relationship between alignment and the depolarization effect, the orientation where the major axes of the ellipsoids are perpendicular or at an angle to the electric field lines is likely to result in a larger depolarization factor.
The power of a wave comes from the wave's ..
Answers
Answer:
waves energy i think
Explanation: