i. The elasticity at point \( g \) is the measure of responsiveness or sensitivity of a quantity to changes in another variable at point \( g \).
ii. To determine the elasticity at point \( h \), we first need to establish what quantity we are referring to at point \( h \). Once we have identified the relevant quantity, we can then calculate its elasticity by measuring the responsiveness or sensitivity to changes in another variable at point \( h \).
i. To determine the elasticity at point \( g \), we need specific information about the variables and their relationship. Elasticity is typically calculated as the percentage change in one variable divided by the percentage change in another variable.
ii. Without additional information about the specific variables and their relationship at point \( h \), it is difficult to provide a precise answer. The concept of elasticity requires specific context and variables to be defined in order to calculate or describe it accurately.
To know more about elasticity visit:
https://brainly.com/question/30610639
#SPJ11
100 ml de una disolucion 0,5 M de sulfato de cobre II
Answer:
100 ml de una disolucion 05 M de sulfate de vivre
the intensity of a particular sound at a distance of 10 meters from the source is 0.00009 watts/m2. what is the intensity of the same sound if you are 30 meters away from the source?
The intensity of a sound decreases as the distance from the source increases.
This is because the energy from the sound wave spreads out over a larger area, resulting in a lower energy per unit area.
In this case, we can use the inverse square law to calculate the intensity at a distance of 30 meters. The inverse square law states that the intensity of a sound is inversely proportional to the square of the distance from the source.
Therefore, if the intensity at 10 meters is 0.00009 watts/m2, the intensity at 30 meters would be 0.00001 watts/m2.
This is because the distance from the source has increased by a factor of 3, so the intensity is reduced by a factor of 9 (3 squared).
To know more about sound visit:
https://brainly.com/question/29707602
#SPJ11
Twp bullets have masses of 3.0g and 6.0g, respectively. both are fired with a speed of 40.0m/s. which bullet has more kinetic energy? What is the ratio of their kinetic energies?
Formula: KE=1/2 x m x v^2
2. Convert 750 m/s to km/hr.
Answer:
2700
Explanation:
1m/s=3.6km/hr
5). A body of mass 75kg lying on a surface of
μ = 0.4 move in the direction of a horizontal force
of 300N applied to it.
a). Calculate the
i). friction force
ii). acceleration of the body
b). Explain the result in aii).
Explanation:
a) i) Calculation of the friction force:
The friction force can be determined using the equation:
friction force = coefficient of friction * normal force
The normal force is equal to the weight of the object, which can be calculated as:
normal force = mass * gravitational acceleration
where the gravitational acceleration is approximately 9.8 m/s².
normal force = 75 kg * 9.8 m/s² = 735 N
friction force = 0.4 * 735 N = 294 N
ii) Calculation of the acceleration of the body:
Now, we can calculate the acceleration using Newton's second law:
net force = mass * acceleration
Since the applied force and the friction force act in opposite directions, the net force can be calculated as:
net force = applied force - friction force
net force = 300 N - 294 N = 6 N
mass = 75 kg
6 N = 75 kg * acceleration
acceleration = 6 N / 75 kg = 0.08 m/s²
b) Explanation:
In part (a), we calculated the friction force to be 294 N and the acceleration of the body to be 0.08 m/s². The positive acceleration indicates that the body is moving in the direction of the applied force.
The friction force opposes the motion of the body and acts in the opposite direction to the applied force. In this case, the applied force of 300 N is greater than the friction force of 294 N. As a result, the net force acting on the body is 6 N in the direction of the applied force.
The small net force of 6 N, compared to the body's mass of 75 kg, results in a relatively low acceleration of 0.08 m/s². This indicates that the body will accelerate slowly in the direction of the applied force due to the presence of friction.
Overall, the friction force and the resulting acceleration of the body are determined by the coefficient of friction (μ) and the mass of the object. In this case, the body experiences a relatively high friction force, leading to a small acceleration.
Type i supernovae can be used to determine distances to galaxies much better than type ii supernovae.
a. True
b. False
Type I supernovae are substantially better than type II supernovae at measuring distances to galaxies. The distances between the stars in our Milky Way Galaxy are growing as the universe expands.
What purposes do Type I supernovae serve?Given that they all have the same luminosity, Type Ia supernovae are helpful tools for studying the structure of the cosmos. One can gauge the universe's expansion pace and how that rate changes over time by analyzing the apparent brightness of these objects.
What is created by a Type 2 supernova?A Type II Supernova produces a supernova remnant as well as neutron stars or black holes, as discussed below. A supernova remnant's bulk and energy are dispersed.
Learn more about galaxy here:
https://brainly.com/question/2905713
#SPJ4
I need help. which interaction does not take place due to field forces
A. interaction between protons and electrons
B. interaction between a ball and flight in the earth below it
C. interaction between Mars and the sun
D. interaction between a pen and paper while you write
Answer:
Explanation:
Answer D. Interaction between a pen and paper while you write
Answer:
D. interaction between a pen and paper while you write
Explanation:
plato
A student is watching a video in order to understand how convection in the mantle of the Earth occurs. The video shows rock rising and sinking to make convection currents in the mantle. Which process is responsible for causing rock to rise? A. Rock is heated. B. Rock rapidly cools off. C. Rock increases in density. D. Rock undergoes intense pressure.
Answer:
A
Explanation:
Because of the convectional currents
The brakes on a car do 110,095J of work as they apply an average force of 8,450N. How far in meters does the car continue before stopping
13.02 meters
Explanation
the work done by the brakes makes the car stops, so the change in energy equals the work done
hence
\(\text{work}=\Delta Ek=\frac{1}{2}mv^2\)also, the work done by a force is given by
\(\text{work}=\text{ force}\cdot dis\tan ce\)then, let
\(\begin{gathered} \text{work}=\text{ 110095 J} \\ \text{Force}=8450\text{ N} \end{gathered}\)replace
\(\begin{gathered} \text{work}=\text{ force}\cdot dis\tan ce \\ 110095\text{ J=8450 N}\cdot distnace \\ \text{divide both sides by 8450 N} \\ \frac{110095\text{ J}}{\text{8450 N}}\text{=}\frac{\text{8450 N}\cdot}{\text{8450 N}}distance \\ 13.02m=\text{distance} \end{gathered}\)therefore, the answer is
13.02 meters
I hope this helps you
Astronomers can now report that active star formation was going on at a time when the universe was only 20% as old as it is today. When astronomers make such a statement, how can they know what was happening inside galaxies way back then
Answer:
First, as you may know, the light travels at a given velocity.
In vaccum, this velocity is c = 3x10^8 m/s.
And we know that:
distance = velocity*time
Now, if some object (like a star ) is really far away, the light that comes from that star may take years to reach the Earth.
This means that the images that the astronomers see today, actually happened years and years ago (So the night sky is like a picture of the "past" of the universe)
Also, for example, if an astronomer sees some particular thing, he can apply a model (a "simplification" of some phenomena that is used to simplify it an explain it) and with the model, the scientist can infer the information of the given thing some time before it was seen.
The astronomers could know what was happening inside galaxies way back then by the fact that;
they examine the spectra of galaxies (or the overall colors of galaxies) with the highest redshifts they can find
Astronomers Measure the wavelength of the light that is stretched, so the light is seen as 'shifted' towards the red part of the spectrum by using spectroscopy. This measure is also called redshift.
This invokes a ray of light through a triangular prism that splits the light into various components known as spectrum.
The way the astronomers could use this concept to know what was happening in the galaxies before is by examining the spectra of galaxies that have the highest redshifts.
Read more at; https://brainly.com/question/15995216
Bill is standing on the top of a 60 m tall building. He throws a ball downward with the speed of 15 m/s. At the same time Jennifer, who is standing on the ground, throws a second ball upward with the same speed. (a) How high above the ground will the two balls meet? (b) What are their velocities? (c) Which ball does hit the ground first? Explain. (d) Plot velocity and position versus time graphs for the two balls.
Bill and Jennifer throw a ball at the same speed of 15 m/s from two different heights. The height where the two balls meet is around 71.51068 m. The velocity for Bill's ball and for Jennifer's ball is -4.012 m/s.
(a) To determine how high above the ground the two balls will meet, we can find the time it takes for each ball to reach its highest point and then calculate the total distance traveled by each ball.
For Bill's ball:
Using the equation for vertical displacement, we can calculate the time it takes for the ball to reach its highest point:
y = y₀ + v₀t - (1/2)gt²
0 = 60 + 15t - (1/2)(9.8)t²
Solving this quadratic equation, we find t ≈ 1.94 seconds.
Substituting this time back into the equation for vertical displacement, we can determine the height above the ground where the balls meet:
y = 60 + 15(1.94) - (1/2)(9.8)(1.94)²
with 15(1.94) = 29.1
(1/2)(9.8)(3.7636) = 17.58932
Substituting these values back into the expression for y:
y = 60 + 29.1 - 17.58932
y = 60 + 29.1 - 17.58932
= 89.1 - 17.58932
= 71.51068
Therefore, the height above the ground where the two balls meet is approximately 71.51068 meters.
For Jennifer's ball:
Since Jennifer throws the ball upward with the same initial speed, the time it takes for the ball to reach its highest point is also approximately 1.94 seconds. Therefore, the height above the ground where the balls meet is the same.
(b) The velocities of the balls at the point of meeting can be found using the equation:
v = v₀ - gt
For Bill's ball:
v = 15 - 9.8(1.94)
9.8 * 1.94 = 19.012
v = 15 - 19.012
v = 15 - 19.012
= -4.012 m/s (negative sign indicates the upward direction)
Therefore, the velocity of the ball thrown by Bill at the point of meeting is approximately -4.012 m/s
For Jennifer's ball:
v = -15 - 9.8(1.94)
v = -4.2 m/s
(c) To determine which ball hits the ground first, we need to compare their total flight times. Since the height above the ground where the balls meet is the same, the ball thrown by Jennifer will take longer to reach the ground because it has to cover the additional distance from the meeting point to the ground.
d) The graph in image below shows that initially, the ball is at the top of the 60-meter building. As time progresses, the ball moves downward, crossing the meeting point, and continues to fall towards the ground.
Learn more about vertical displacement here:
https://brainly.com/question/3333112
#SPJ11
A wave travels at 18 m/s and has a wavelength of 3 meters. What is the frequency of the wave?
Answer:
0.1667Hz
Explanation:
by explanation frequency is given by 1/time
after carrying out the calculation of time we can easily get frequency.
time=speed/distance
=18/3
=6s
but frequency=1/time
hence=1/6
=0.1667hertz
I need the question of this page filled with steps...... I'm confused
i) The velocity of the particle at 17 sec is 17m/s.
ii) The total distance travelled is 190 m.
iii) The total displacement is -10m.
What is the difference between distance and displacement?Distance is the length of any path connecting any two places. As measured along the shortest path between any two points, displacement is the direct distance between them.
The direction is ignored when calculating distance. The direction is accounted for in the displacement calculation.
Since it solely depends on magnitude and not direction, distance is a scalar number. Since displacement varies on both magnitude and direction, it is a vector quantity.
Distance provides specific directions that must be taken when moving from one location to another. Displacement only provides a partial description of the route because it pertains to the quickest way.
Velocity of particle = Slope of the object =Δ \(\frac{y}{x}\)
Velocity = \(\frac{95-10}{20-15}\) = 17m/s
To know more about Displacement, visit:
https://brainly.com/question/11934397
#SPJ1
Need help please????????!!!!!!!!!!
Answer:
Your education back ground
which type of rock do you think will erode more quickly and why
Which one of the following values is the smallest possible amount of free charge that has been discovered? A. 1.6 X 10-19 coulombs B. 6.63 x 10-34 coulombs C. 1.38 x 10-23 coulombs D. 5.34 x 10-20 coulombs E. 8.85 x 10-12 coulombs
Among the answer choices provided, correct option is (A) which means smallest charge is \(1.6 * 10^(-19)\) coulombs.
Charge is a fundamental property of matter and is quantized, which means it can only exist in discrete amounts, rather than being continuous. The smallest unit of charge is the charge of an electron, which has a magnitude of \(1.602 * 10^(-19)\) coulombs. This value is given in option (A).
Option (B) \(6.63 * 10^(-34)\) coulombs is not a valid value for charge since it is in the range of Planck's constant, which is a fundamental constant in quantum mechanics.
Option (C) \(1.38 * 10^(-23)\) coulombs is the value of the Boltzmann constant, which is related to the average kinetic energy of particles in a gas.
Option (D) \(5.34 * 10^(-20)\) coulombs and option
(E) \(8.85 * 10^(-12)\)coulombs are not valid values for the smallest unit of charge, as they are not within the range of any known physical constant or value.
Learn more about charge here:
https://brainly.com/question/14713274
#SPJ4
Consider a wire made of copper with conductivity 6.0 × 107 Ω-1m-1, which has a circular cross-section of radius 0.79 mm. In a particular circuit, this wire carries a current of 4.5 A.
a. What is the electric field, in volts per meter, inside this wire? b. If we replace this wire with a gold one of the same size, with conductivity 4.1 × 107 Ω-1m-1, what will the electric field in the wire be?
The cross-sectional area of a circle is given by:
A = π * r^2
A = π * (0.79 × 10^-3 m)^2 = 4.91 × 10^-7 m^2
σ = 6.0 × 10^7 Ω^-1m^-1
I = 4.5 A
Therefore,
E = 4.5 A / (6.0 × 10^7 Ω^-1m^-1 * 4.91 × 10^-7 m^2) = 1.84 × 10^-2 V/m
If we replace this wire with a gold one of the same size, with a conductivity of 4.1 × 107 Ω-1m-1, what will the electric field in the wire be?If we replace the copper wire with a gold wire of the same size, the electric field inside the wire will change.
σ = 4.1 × 10^7 Ω^-1m^-1
E = 4.5 A / (4.1 × 10^7 Ω^-1m^-1 * 4.91 × 10^-7 m^2) = 2.17 × 10^-2 V/m
Therefore, the electric field in the gold wire will be higher than in the copper wire.
Why is the gold wire's electric field higher than the copper wire?The conductivity of gold (4.1 × 10^7 Ω^-1m^-1) is lower than that of copper (6.0 × 10^7 Ω^-1m^-1). Therefore, to maintain the same current of 4.5 A, the electric field inside the gold wire must be higher than that in the copper wire. This means more energy is required to maintain the same current in the gold wire.
To learn more about conductivity, visit here:
https://brainly.com/question/15085692
#SPJ1
How many excess electrons must be distributed uniformly within the volume of an isolated plastic sphere 26.0 cm in diameter to produce an electric field of 1440 N/C just outside the surface of the sphere
a metaphor for generosity and joy and joy and joy and joy organised a large wedding guests had to choose their meal from beef chicken tikka and a kind young women in the streets of St
The number of excess electrons needed to be distributed uniformly in the sphere to produce the given electric field is 1.69*10^(10).
What is an electric field?
The electric force exerted on a unit charge is called the electric field.
For a sphere of uniform charge density, the magnitude of the electric field on its surface is given by,
E=k*q/r^2
where E is the magnitude of the electric field, k is the coulomb's constant which has a value of 9*10^9 N m^(2) C^(-2), and q is the total charge of the sphere, and r is the radius of the sphere.
The radius of the sphere is half of the diameter. Given the diameter of the sphere is 26.0 m, the radius of the sphere r=26.0/2 cm or r=13.0 cm.
It is given that E=1440 N/C, r=13.0 cm, and the value of k is 9*10^9 N m^(2) C^(-2). Substitute these values in the formula of the electric field and solve it to get the value of the total charge on the sphere.
Note: 1 cm = 0.01 m.
1440 (N/C)= (9*10^9 N m^(2) C^(-2))*q/( 13 cm)^2
1440 (N/C)= (9*10^9 N m^(2) C^(-2))*q/( 13*0.01 m)^2
1440 ( N/C)= (532.54*10^(9) N C^(-2))*q
q=1440/(532.54*10^(9)) C
q=2.704*10^(-9) C
Since the charge is quantized, the total charge inside the sphere is the integral multiple of an elementary charge. In the given case, the value of that elementary charge is 1.6*10^(-19) C. The total charge is then given by,
q=ne
where q is the total charge, n is the number of elementary charges and e is the value of the elementary charge.
The value of q is 2.704*10^(-9) C and the value of e is 1.6*10^(-19) C.
Substitute these values in the formula of total charge and solve it to get the number of elementary charges.
2.704*10^(-9) C =n*1.6*10^(-19) C
n=2.704*10^(-9)/ 1.6*10^(-19)
n=1.69*10^(10)
Learn more about the electric field here:
https://brainly.com/question/14632877
#SPJ4
What is 3,278,000 as scientific notation?
Consider the following circuit where vs = 8.2 v find the thevenin equivalent voltage with respect to terminals a and b
To find the Thevenin equivalent voltage with respect to terminals a and b in the given circuit, follow these steps:
1. Disconnect any sources (in this case, the 8.2V source) from the circuit.
2. Calculate the equivalent resistance between terminals a and b. This can be done using various methods such as series and parallel combinations of resistors.
3. Reconnect the sources, and measure the voltage across the terminals a and b. This voltage will be the Thevenin equivalent voltage.
Without a diagram or specific information about the circuit, it is not possible to provide an exact calculation. However, I can guide you through the general process. If you provide more details or a circuit diagram, I can provide a more specific answer.
Learn more about Thevenin equivalent voltage
https://brainly.com/question/31989329
#SPJ11
A 0.675 kg mass is attached to a
spring of spring constant 72.4 N/m,
pulled, and released. What is the
period of the resulting oscillation?
(Unit = s)
Answer:
T= 0.6 secExplanation:
This problem bothers on the simple harmonic motion of a loaded spring
Given data
mass attached, m= 0-.675 kg
spring constant, k= 72.4 N/m
the period of oscillation can be solved for using the formula bellow
\(T= 2\pi \sqrt{\frac{m}{k} }\)
Substituting the given data into the expression above we have
\(T= 2*3.142\sqrt{\frac{0.675}{72.4} }\\T= 6.284*\sqrt{0.0093 }\\T= 0.6\)
T= 0.6 sec
Answer:
0.607
Explanation:
Trust me
explain how potential and kinetic energy are at play when we talk about Newton's second law of motion
Potential and kinetic energy are at play when we talk about Newton's second law of motion through the various positions in relation to the bodies involved.
What is Newton's second law of motion?This law states that force is equal to the rate of change of momentum and is denoted as F = mv where m is mass and v is velocity.
Potential energy is the energy is possessed by a body by virtue of its position while kinetic energy is possessed by a body by virtue of its motion. Both forms of energy are influenced by forces and are equal to the total momentum.
Read more about Newton's second law of motion here https://brainly.com/question/2009830
#SPJ1
Blocks a (mass 8.00 kg ) and b (mass 15.00 kg , to the right of a) move on a frictionless, horizontal surface. initially, block b is moving to the left at 0.500 m/s and block a is moving to the right at 2.00 m/s. the blocks are equipped with ideal spring bumpers. the collision is headon, so all motion before and after it is along a straight line. let x be the direction of the initial motion of a.
After the collision, block A will be moving to the left at 1.56 m/s and block B will be moving to the left at 0.50 m/s. In this type of collision, the momentum of the system is conserved.
We can use the law of conservation of momentum to determine the velocities of the blocks after the collision. The total momentum of the system before the collision is the momentum of block A plus the momentum of block B, and the total momentum after the collision must also be the same.
The momentum of each block before the collision is given by the mass of the block multiplied by its velocity
p_A = m_A * v_A = 8.00 kg * 2.00 m/s = 16.00 kg m/s (to the right)
p_B = m_B * v_B = 15.00 kg * -0.500 m/s = -7.50 kg m/s (to the left)
p_initial = p_A + p_B = 16.00 kg m/s + (-7.50 kg m/s) = 8.50 kg m/s (to the right)
After the collision, we can use the law of conservation of momentum to find the final velocities of the blocks.
p_final = p_A' + p_B' = m_A * v_A' + m_B * v_B' = 8.00 kg * v_A' + 15.00 kg * v_B' = 8.00 kg * v_A' - 7.50 kg m/s
we know that p_final = p_initial = 8.50 kg m/s, so we can set the two equations equal to each other.
8.50 kg m/s = 8.00 kg * v_A' - 7.50 kg m/s
so
v_A' = (8.50 kg m/s + 7.50 kg m/s) / 8.00 kg = 1.56 m/s (to the left)
and
v_B' = -0.500 m/s (to the left)
Therefore, after the collision, block A will be moving to the left at 1.56 m/s and block B will be moving to the left at 0.50 m/s. In this type of collision, the momentum of the system is conserved, and both blocks reverse their directions of motion.
Learn more about Collision here:
https://brainly.com/question/13138178
#SPJ4
Carbon dioxide undergoes a phase change called sublimation, how does a single molecule of carbon dioxide change as a result of this process in terms of its energy and physical characteristics? a. There is a physical change from a gas to a liquid; energy is released into the environment reducing the molecular movement. b. There is a physical change from the solid state to a gas state where energy between the molecules increases. c. There is a chemical change between the carbona nd oxygen resulting int he formation of oxygen gas which has more energy d. There is a chemical change as the carbon dioxide is transferred from a liquid to a solid reducing the amount of energy
The correct answer is(b). There is a physical change from the solid state to a gas state where energy between the molecules increases.
What is the process of sublimation in carbon dioxide?During sublimation, carbon dioxide transitions directly from the solid state (dry ice) to the gas state without passing through the liquid phase. In this process, individual molecules of carbon dioxide gain energy from the surroundings, leading to an increase in their kinetic energy and molecular movement.
As a result, the carbon dioxide molecules separate from each other and form a gas. This phase change is considered a physical change rather than a chemical change since the chemical composition of carbon dioxide remains the same throughout the process.
Therefore, the sublimation of carbon dioxide results in a physical change where the molecules transition from the solid state to the gas state, gaining energy and increasing their molecular movement.
Learn more about sublimation
brainly.com/question/15057312
#SPJ11
After rubbing the hair on your head with a balloon, you determine there are 2.4 x 1018 electrons on your head. What is the charge, in coulombs (C), of your head?
Answer:
q = 0.384 C
Explanation:
The total charge present at the head can be easily found out by multiplying the charge on a single electron with the total number of electrons present on the head:
\(q = ne\)
where,
q = total charge on head = ?
n = total no. of electrons on the head = 2.4 x 10¹⁸
e = charge on 1 electron = 1.6 x 10⁻¹⁹ C
Therefore,
\(q = (2.4\ x\ 10^{18})(1.6\ x\ 10^{-19}\ C)\)
q = 0.384 C
At noon a female corpse was found partially submerged
A 100 pound sack of potatoes falls from an airplane. As the velocity of the falling sack increases, so does the air resistance on it. When the air resistance equals 100 pounds, the acceleration of the sack will be:
a. 9.8 m/s2.
b. 9.8 m/s. c. zero.
d. infinite.
When the air resistance equals 100 pounds, the acceleration of the sack will be: zero.
So, the correct answer is C.
How to calculate the accelerationWhen a 100-pound sack of potatoes falls from an airplane, it experiences gravitational force and air resistance.
The gravitational force acts downward, while air resistance acts upward.
As the velocity of the falling sack increases, the air resistance also increases. When the air resistance equals 100 pounds, it balances the gravitational force acting on the sack.
At this point, the net force acting on the sack is zero (100 pounds - 100 pounds = 0), as the air resistance and gravitational force cancel each other out.
According to Newton's second law of motion, F = ma, when the net force (F) is zero, the acceleration (a) is also zero.
Therefore, the correct answer is c. zero.
Learn more about air resistance at
https://brainly.com/question/14780808
#SPJ11
Calculate the force of gravity on a 55 kg person on the surface of the earth.
Answer:
550N
Explanation:
Force=Mass ×Acceleration
= 55kg×10m/s²
=550N
please help
Using only the analytical method find the Resultant Vector R-A-B-C-D given the following vectors: A = 7 cm at 35⁰ B = 8 cm at 120° Ĉ= 2.5 cm at 240⁰ D = 2 cm at 320⁰
The resultant
vector
R-A-B-C-D is approximately 2.3638 cm at an angle of arctan(Ry/Rx): ≈ 8.5157 cm
To find the
resultant
vector R-A-B-C-D using the analytical method, we need to calculate the x and y
components
of each vector and then sum them up.
Let's start with vector A:
A = 7 cm at 35°
The x component of A can be calculated using the formula:
Ax = A * cos(θ)
Ax = 7 cm * cos(35°)
Ax = 7 cm * 0.8192
Ax ≈ 5.7344 cm
The y component of A can be calculated using the formula:
Ay = A * sin(θ)
Ay = 7 cm * sin(35°)
Ay = 7 cm * 0.5736
Ay ≈ 4.0152 cm
Next, let's move on to vector B:
B = 8 cm at 120°
The x component of B can be calculated using the formula:
Bx = B * cos(θ)
Bx = 8 cm * cos(120°)
Bx = 8 cm * (-0.5)
Bx = -4 cm
The y component of B can be calculated using the formula:
By = B * sin(θ)
By = 8 cm * sin(120°)
By = 8 cm * 0.8660
By ≈ 6.928 cm
Now, let's calculate the vector Ĉ:
Ĉ = 2.5 cm at 240°
The x component of Ĉ can be calculated using the formula:
Ĉx = Ĉ * cos(θ)
Ĉx = 2.5 cm * cos(240°)
Ĉx = 2.5 cm * (-0.5)
Ĉx = -1.25 cm
The y component of Ĉ can be calculated using the formula:
Ĉy = Ĉ * sin(θ)
Ĉy = 2.5 cm * sin(240°)
Ĉy = 2.5 cm * (-0.8660)
Ĉy ≈ -2.165 cm
Lastly, let's calculate the vector D:
D = 2 cm at 320°
The x component of D can be calculated using the formula:
Dx = D * cos(θ)
Dx = 2 cm * cos(320°)
Dx = 2 cm * 0.9397
Dx ≈ 1.8794 cm
The y component of D can be calculated using the formula:
Dy = D * sin(θ)
Dy = 2 cm * sin(320°)
Dy = 2 cm * (-0.3420)
Dy ≈ -0.684 cm
By the
analytical
method:
Now we can sum up the x and y components of all the vectors:
Rx = Ax + Bx + Ĉx + Dx
Rx = 5.7344 cm + (-4 cm) + (-1.25 cm) + 1.8794 cm
Rx ≈ 2.3638 cm
Ry = Ay + By + Ĉy + Dy
Ry = 4.0152 cm + 6.928 cm + (-2.165 cm) + (-0.684 cm)
Ry ≈ 8.0942 cm
Therefore, the resultant vector R-A-B-C-D is approximately 2.3638 cm at an
angle
of arctan(Ry/Rx):
R = sqrt(Rx^2 + Ry^2)
R = sqrt((2.3638 cm)^2 + (8.0942 cm)^2)
R ≈ 8.5157 cm
θ = arctan(Ry/Rx)
To know more about
vector
visit:
https://brainly.com/question/27854247
#SPJ11
Hey guys I have been seeing this question going up and I have the same one so I was wondering if someone else knows the answer? Thanks, Brainiest if correct!
Which one of these pair of graphs represent the same motion?
Answer: B is DEFINITELY the answer no doubt about it!