The direct variation equation is I = kh and it will take 42.1 hours for the restaurant to earn Php 1,000,000.
The direct variation equation has the form y = kx, where k is the constant proportionality. It is a linear equation with two variables.
In an 8-hour period, Jollibee takes in Php 190000.
The direct variation equation is given as y = kx, where y is directly proportional to x.
Hours worked (h) directly affect income (I), where k is the variational constant.
Therefore,
I = k × h
190000 = k × (8)
k = 23750 / 190000
Now, when the restaurant earns Php 1,000,000.
Therefore, using the direct variation equation:
Income = variable constant × number of hours
I = k × h
1,000,000 = (23750) × h
h = 1,000,000 / 23750
h = 42.1 hours
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a particle undergoes three successive displacements in a plane, as follows: , 4.00 m southwest; then , 5.00 m east; and finally , 6.00 m in a direction 60.0° north of east. choose a coordinate system with the y axis pointing north and the x axis pointing east. what are (a) the x component and (b) the y component of ? what are (c) the x component and (d) the y component of ? what are (e) the x component and (f) the y component of ? next, consider the net displacement of the particle for the three successive displacements. what are (g) the x component, (h) the y component, (i) the magnitude, and (j) the direction of the net displacement? if the particle is to return directly to the starting point, (k) how far and (l) in what direction should it move?
let east is the positive x direction
north is the positive y direction
for the net displacement
d = 4 * (- cos(45) i - j * sin(45)) + 5 i + 6 * (cos(60) i + j * sin(60))
d = 5.17 i + 2.37 j
for the return vector
d = - 5.17 i - 2.37 j
d = sqrt(5.17^2 + 2.37^2) at arctan(2.37/5.17) degree south of west
d = 5.69 m at 24.6 degree south of west
the return vector is 5.69 m at 24.6 degree south of west
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In your own words, explain the similarities and differences between velocity and acceleration?
The rate of change of displacement is known as velocity. The rate at which velocity changes is called acceleration. Due to the fact that it includes both magnitude and direction, velocity is a vector quantity. Acceleration is likewise a vector quantity as it is only the rate of change of velocity.
Speed serves as the baseline for both velocities and acceleration measurements. Speed is a scalar quantity that measures the amount of distance traveled over a period of time. Acceleration and velocity are both vector quantities, which means they both employ magnitudes and a designated direction. The rate of motion of an object is measured by both speed and velocity. The fact that speed is a scalar quantity, nevertheless, means that it can be quantified.
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A cannonball is fired at an angle of 18.2° above the horizontal at a velocity of 74.3 m/s. What are the horizontal and vertical components of the velocity of the cannonball?
ANSWER: 70.6m/s horizontal 23.2m/s vertical
1. The horizontal component of the velocity is 70.6 m/s
2. The vertical component of the velocity is 23.2 m/s
Data obtained from the questionFrom the question given, the following data were obtained:
Initial velocity (u) = 74.3 m/sAngle of projection (θ) = 18.2°Horizontal component =?Vertical component =?1. How to determine the horizontal component of the velocity Initial velocity (u) = 74.3 m/sAngle of projection (θ) = 18.2°Horizontal component =?Horizontal component = u × Cosθ
Horizontal component = 74.3 × Cos18.2
Horizontal component = 70.6 m/s
2. How to determine the vertical component of the velocity Initial velocity (u) = 74.3 m/sAngle of projection (θ) = 18.2°Vertical component =?Vertical component = u × Sineθ
Vertical component = 74.3 × Sine18.2
Vertical component = 23.2 m/s
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in a thundercloud there may be electric charges of 39.0 c near the top of the cloud and -39.0 c near the bottom of the cloud. these charges are separated by 1.50 km. what is the electric force on the top charge?
The electric force on the top charge is -9.1158 x [tex]10^{5}[/tex]N.
CalculationThe electric force is given by
F=[tex]k_{e}[/tex][tex]\frac{q_{1}q_{2} }{(r_{12})^2 }[/tex] = (8.99 x [tex]10^{9}[/tex] N.[tex]m^{2}/C^{2}[/tex]) [tex]\frac{(+39C)(-39C)}{(1500m)^2}[/tex]
=-9.1158 x [tex]10^{5}[/tex]N
= 9.1158 x [tex]10^{5}[/tex]N downward
What is Coulombs law?The Coulomb’s inverse-square law, that is sometimes known as Coulomb’s law, is a kind of experimental physical principle that measures the force exerted between two electrically charged particles that are considered stationary.
The electric force between two charged objects at rest include electrostatic force and Coulomb force.
Coulomb listed the following characteristics of the electric force for charges in a resting state: Unlike charges attract each other whereas like charges repel one another.
As a result, a positive charge pulls a negative charge toward it whereas two negative charges repel one another. The line between the two charges is where the attraction or repulsion occurs.
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a honeybee leaves the hive and travels a total distance of 2 km before returning to the hive. what is the magnitude of the displacement vector of the bee? why?
The magnitude of the displacement vector of the bee will be 2 km. Because the distance between the endpoints is 2km.
What is displacement?A displacement is a vector in engineering and mechanics that has a length equal to the smallest distance between a point P's initial and final positions. It is a vector quantity. The SI unit of the displacement is the meter.
A honeybee leaves the hive and travels a total distance of 2 km before returning to the hive.
The bee's displacement vector will be 2 kilometers in length. Mostly due to the 2 kilometers between the terminals.
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You shoot a beam of 4. 5 ev light at a metal surface and notice that electrons are being released from the metal. What will happen if you then increase the intensity of the 4. 5 ev light?.
When we increase the intensity of incident light, the number of electrons ejected from the metal surface has increased energy. Thus, correct option is D.
What is Emission Energy?Electrons are emitted from the metal surface when it is exposed to light. This is called the photoelectric effect. Each metal has a certain threshold frequency of light at which an electron is emitted. Above this frequency, the electron is emitted and the extra energy is transferred to the electron.
On increasing the intensity of incident light, the kinetic energy of electrons increases several folds. This is because, energy of an electron is directly proportional to the intensity of incident light. Thus, D is the correct option.
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Your question is incomplete, probably the complete question/missing part is:
You shoot a beam of 4. 5 ev light at a metal surface and notice that electrons are being released from the metal. What will happen if you then increase the intensity of the 4. 5 ev light?
A. The metal will bend and warp.
B. Nothing, the energy of the light is the same.
C. More electrons would be released.
D. Photons would come off at higher speeds.
If the mass of a sliding block is tripled while a constant net force is applied, by how much does the acceleration change?.
The correct answer is rate of acceleration will be reduced by 3.
Newton's law states that the force acting on an object is inversely proportional to its rate of acceleration. This means that if an object's mass remains constant, its acceleration will fluctuate in accordance with its applied force, and vice versa.
A vector number called acceleration can be used to describe how quickly an object changes its velocity. If an object is constantly altering its velocity, it is still accelerating.
By Newton's law.
F=ma
The force is F.
m is the object's mass.
A represents acceleration.
The mass will triple if
a'=1/3×F/m
a'=a/3
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During which trial or trials is the magnitude of the average velocity the largest?
Speed is the time rate at which an object is moving along a path
Velocity is the rate of motion, speed, or action.
While Trial B and Trial D do not have the same average velocity, the only difference is the direction! The magnitudes are the same. Neither one is 'larger' than the other, and it is only because of how we chose our axes that Trial B has a positive average velocity while Trial D has a negative average velocity. In Trial C the object does not move, so it has an average velocity of zero. During Trial A the object has a positive average velocity but its magnitude is less than that in Trial B and Trial D.
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What height does a frictionless playground slide need so that a 35 kg child reaches the bottom at a speed of 4.7 m/s?
By conservation of energy, the height of the playground slide should be 108.241 meters.
We need to know about the conservation of energy to solve this problem. The energy can not be created or destroyed, the only way is to change to another form. It can be written as
Ei = Ef
where Ei is initial energy and Ef is the final energy
From the question above, we know that
m = 35 kg
v = 4.7 m/s
The playground slide is converting the potential energy from height to kinetic energy. Hence,
Ei = Ef
PE = KE
m . g . h = 1/2 . m . v²
h = 1/2 . g . v²
h = 1/2 . 9.8 . 4.7²
h = 108.241 meters
Hence, the height of playground slide should be 108.241 meters to reach 4.7 m/s of velocity at bottom.
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Solenoid is wound with 2000 turns per meter when the current is 5.2 a, what is the magnetic field within the solenoid?
The magnetic field within the solenoid is 0.013T
What is Solenoid ?An electromagnet known as a solenoid creates a regulated magnetic field using a helical coil of wire whose length is significantly higher than its diameter. When an electric current is sent through the coil, it may create a consistent magnetic field inside a defined region of space.
A solenoid operates by creating an electromagnetic field surrounding an armature, which is a moving core. The electromagnetic field causes the armature to move, and when it does, it opens and closes valves or switches, converting electrical energy into mechanical motion and force.
The magnetic field within the solenoid can be calculated by the expression given below.
Write the expression for magnetic field within the solenoid.
B = u₀nI
B = 4π * 10⁻⁷ * 2000 * 5.2
= 0.013 T
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You are traveling on an airplane. The velocity of the plane with respect to the air is 120 m/s due east. The velocity of the air with respect to the ground is 43 m/s at an angle of 30° west of due north.
1)What is the speed of the plane with respect to the ground?
The speed of the plane with respect to the ground will be 117.89 meters per second.
In this question, we need to determine the plane's relative speed to the ground because that will move east at 130 meters per second. The wind is blowing roughly in this direction at 30 meters per second and is at an angle of 30 degrees west of north.
Therefore, we need to identify the x and y components of the wind in order to compare these. We know that x will be equal to 30 times the cosine of our angle. Y will equal 30 times the sine of 60 degrees and we obtain a cosine of 60 degrees. Therefore, in this instance, 30 cosine of 60 will result in 15 and 30 sin of 60 will result in 15 square roots of 3 points.
Therefore, if we want to determine the magnitude of the plane with respect to the graph, we must combine our similar forces. To do this, we will need the square root of 130 for the plane, the minus sign because the wind is blowing in the opposite direction in this case, the x minus 15 square, the n plus our y component, 15 square root of 3 square, and the plane itself.
We now know that 3600 seconds equal 1 hour when translated to seconds. Therefore, we are aware that distance equals velocity multiplied by time. We should arrive at 24804 meters if we multiply our speed, which is 117.89 meters per second, by 3600 seconds.
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Object 1 is moving north at 10 mph and object 2 is also moving north at 5 mph. what is the velocity of object 1 relative to object 2?
The relative velocity of object 1 with respect to object 2 will be → +5 mph along the positive y - axis.
We have two objects moving in north direction.
We have to determine the relative velocity of object 1 relative to object 2.
What is Relative velocity?
The velocity of an object A relative to another object B is the velocity that object A would appear to have to an observer moving with B.
According to the question, we have -
The velocity of Object 1 = v(1) = [tex]10\;a_{y}[/tex] mph
The velocity of Object 2 = v(2) = [tex]5\;a_{y}[/tex] mph
Since the two objects 1 and 2 are moving in the same direction, therefore the velocity of object 1 relative to object 2 will be -
v(1)' = v(1) - v(2) = [tex]10\;a_{y}[/tex] - [tex]5\;a_{y}[/tex] = [tex]5\;a_{y}[/tex] mph
Hence, the relative velocity of object 1 with respect to object 2 will be → +5 mph along the positive y - axis.
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air temperature rises form a morning low of 42'f to an afternoon high of 70f. a. express these temperatures in r, k, and c.
The temperature can be converted by using the conversion relationship.
What is unit conversion?It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, and multiplication by a conversion factor.
It is given that:
Air temperature rises from a morning low of 42'f to an afternoon high of 70f.
The temperature of 42°F can be converted as:
Converting from F to C:
= (5/9)(42 - 32)
= 5.55°C
Converting from F to R:
= (42 + 459.670)
= 501.67°R
Converting from F to K:
= [5/9](42 - 32) + 273.70
= 278.705°K
The temperature of 70°F can be converted as:
Converting from F to C:
= (5/9)(70 - 32)
= 21.11°C
Converting from F to R:
= (70 + 459.670)
= 529.67°R
Converting from F to K:
= [5/9](70 - 32) + 273.70
= 294.261°K
Thus, the temperature can be converted by using the conversion relationship.
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which of the following best explains why mars' and venus' surface temperatures vary, despite both planets having atmospheres that contain mostly carbon dioxide?
The best explains why mars' and venus' surface temperatures vary, despite both planets having atmospheres that contain mostly carbon dioxide because
Venus has a dense atmosphere that prevents heat from the surface from escaping. Mars's thin atmosphere is unable to hold a lot of heat. Red sand and rocks on Mars' surface reflect heat.
High mountains cover Venus' surface, absorbing heat.
when Venus first fashioned, it maximum probable contained more nitrogen, oxygen, or even water than the early Earth did. The planet had a runaway greenhouse effect, which heated it up and caused its surface water to turn into steam and gas.This became followed by using the absence of a magnetic subject, which both never absolutely evolved or shut down. This intended that the solar wind, which splits water into oxygen and hydrogen, had no way to guard the environment.Venus also lacks plate tectonics, so carbon dioxide is not trapped in rocks that sink again into the hot mantle. those lighter additives were stripped away through sun radiation, giving them sufficient electricity to get away into space, leaving simply the heavier carbon dioxide in the back of.Find out more information about carbon dioxide.
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Question 2 (1 point)
A football is punted and flies upward at 19.6 m/s. It is in the air for
Blank 1:
seconds before it lands. (report a whole number)
Answer:
Statement of the given problem,
A ball is thrown vertically upwards at 19.6 m/s. For its complete trip (up and back down to the starting position), what is its average speed?
Let H & T denote the maximum height (in m) of the given ball & the time (in s) required for it to reach there.
Hence from above data we get following kinematic relations,
T = [19.6 m/s - 0 m/s)]/(9.8 m/s^2) [9.8 m/s^2 = gravitational acceleration (assumed)]
or T = 2 (s)
H = (19.6 m/s)*(2 s) - (1/2)*(9.8 m/s^2)*(2 s)^2
or H = 19.6 (m)
Therefore,
assuming vertically upward & downward motions are identical with respect to time & distance covered by the given ball,
the required average speed of the ball during its travel up and back down to the starting position
= (total travel-distance)/(total travel-time)
= 2*(19.6 m)/[2*(2 s)]
= 9.8 m/s [Ans]
How did the photoelectric effect lead einstein to propose that light is quantized?
The correct answer is Einstein proposed that light must be made up of packets to explain the photoelectric effect (particles). The frequency of a light packet affects how much energy it contains. Whether or not a single photon has enough energy to knock an electron loose determines whether or not a metal will emit electrons.
The kinetic energy of the electrons is precisely proportional to intensity because, according to wave theory, the energy of electromagnetic waves is uniformly distributed over the wavefront and solely depends on the intensity of the input light beam. However, it was discovered through experimentation that the kinetic energy is unrelated to the brightness of the incident light.
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a jogger runs along a straight and level road for a distance of 8.0 km and then runs back to her starting point. the time for this roundtrip is 2.0 h. which one of the following is true and why?
Her average speed is 8.0 km/h, and her average velocity is 0 km/h. The
average velocity of the jogger is zero since net displacement is zero.
What is velocity?Velocity is the directional speed of a thing moving as an indication of its speed of progress prepared as seen from a particular edge of reference and as assessed by a particular standard of time (for instance 60 km/h toward the north). Speed is a urgent thought in kinematics, the piece of dated mechanics that portrays the development of bodies. Velocity is a genuine vector sum; both significance and heading are supposed to describe it. The scalar through and through worth (degree) of speed is called speed, being a perceptive decided unit whose sum is assessed in the SI (decimal norm) as meters each second (m/s or m⋅s−1). If there is a change of speed, heading or both, the thing should go through a speed increment.
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The average birth weight of a new born baby is 7 pounds. However, this weight can vary as much as 4.5 pounds. What is an absolute value inequality to describe this situation?
An absolute value inequality to describe this situation will be
| 2.5 ≤ W ≤ 11.5 |
What is Absolute Value ?An absolute value can be a value of any variable which will always be non - negative value.
Given that an average birth weight of a new born baby is 7 pounds. However, this weight can vary as much as 4.5 pounds. This means the weight can be
7 + 4.5 = 11.5
or
7 - 4.5 = 2.5
If W = average birth weight of a new born baby which is 7 pounds
Therefore, an absolute value inequality to describe this situation will be
| 2.5 ≤ W ≤ 11.5 |
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A human-operated spaceship reaches the moon in 3 days. the moon is about 386,400 km from earth. mars, our closest planetary neighbor, is, at its closest, about 140 times farther away from us than the moon if mars stays in place. assuming a very simple model of the solar system, about how long would it take that same spaceship to reach mars?
That identical spaceship takes around a year to get to mars.
The Earth's axial wobble is stabilized by the Moon, the biggest and brightest object in our night sky, leading to a typically stable climate. As a result, Earth is a more hospitable planet. Moreover, it produces tides, which result in a rhythm that has guided mankind for a very long time. The following calculation must be performed to determine how long it will take the same spacecraft to reach Mars given that Mars is 140 times further away from Earth than the Moon and that a spacecraft can traverse the 386,400 kilometers between the Earth and the Moon in 3 days:
140 x 3 = 420 days
This spaceship will travel from Earth to Mars in just about one year and two months, assuming a year has 365 days.
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2. A car acquires a velocity of 32 m/s by accelerating at 4.0 m/s²
for 5.0 s. What was its initial velocity?
Answer:
v = a t = 4 m/s^2 * 5 s = 20 m/s
It can increase its speed by 20 m/s
Using V = V0 + a t
V0 (initial speed) had to be 12 m/s
Suppose you mix an unknown clear liquid with water and the added liquid mixes completely with the water so that no layers are visible. what is most likely true about the unknown liquid?
polar liquid is most likely true about the unknown liquid.
What exactly are polar liquids?However, in polar liquids, the uneven charge distribution in the liquid's molecules means that the attractive and repulsive forces do not balance out, and the liquid deflects when exposed to an electric field.Polar Molecule Examples
Water is a polar molecule (H2O)Because oxygen atoms have a higher electronegativity than other atoms in the molecule, they attract electrons, making ethanol polar. Ammonia (NH3) is polar.SO2 (sulfur dioxide) is polar.H2S (hydrogen sulfide) is polar.Water (H2O), like hydrogen fluoride (HF), is a polar covalent molecule. When you look at a diagram of water you can see that the two hydrogen atoms are not evenly distributed around the oxygen atom.To learn more about polar liquids refer to
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Cooper communicates with brand using radio waves of wavelength 300 m. what is the frequency of this wave?
The frequency of electromagnetic waves is 10⁶ Hz or 1 MHz.
We need to know about electromagnetic waves to solve this problem. Electromagnetic waves can propagate without media. The speed of electromagnetic in vacuum media is equal to the speed of light. Hence, the wavelength and frequency can be determined as
c = λ . f
where c is the speed of light (3 x 10⁸ m/s), λ is wavelength and f is frequency.
From the question above, we know that
λ = 300 m
By substituting the given parameter, we can calculate the frequency of radiowaves
c = λ . f
f = c / λ
f = 3 x 10⁸ / 300
f = 10⁶ Hz
f = 1 MHz
Hence, the frequency of radiowaves is 10⁶ Hz or 1 MHz.
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As a projectile moves along its trajectory, check all of the following that are true statements.
Question 8 options:
1) As the projectile moves down, its vertical velocity is positive.
2) As the projectile moves up, its acceleration increases.
3)As the projectile moves down, its acceleration remains constant.
4) As the projectile moves up, its vertical velocity remains constant.
5) As the projectile moves up, its vertical velocity decreases.
6) As the projectile moves down, its vertical velocity increases.
7) As the projectile moves down, its vertical velocity decreases.
8) As the projectile moves up, its acceleration remains constant.
9) As the projectile moves down, its vertical velocity is negative.
10) As the projectile moves down, its vertical velocity remains constant.
11) As the projectile moves up, its vertical velocity is negative.
12) As the projectile moves up, its vertical velocity is positive.
13) As the projectile moves up, its vertical velocity increases.
14) As the projectile moves down, its horizontal velocity remains constant.
15) Acceleration changes as the projectile moves.
16) As the projectile moves down, its acceleration decreases.
17) As the projectile moves up, its horizontal velocity remains constant.
As the projectile moves down, its vertical velocity is positive.
As the projectile moves down, its acceleration remains constant.
As the projectile moves up, its vertical velocity decreases.
As the projectile moves down, its vertical velocity increases.
As the projectile moves up, its acceleration remains constant.
As the projectile moves up, its vertical velocity is negative.
As the projectile moves down, its horizontal velocity remains constant.
As the projectile moves up, its horizontal velocity remains constant.
What is projectile motion?
A projectile is any object thrown into space upon which the only acting force is gravity. The primary force acting on a projectile is gravity.
In a projectile motion, acceleration is always constant and acts vertically downward. Also velocity changes during a projectile motion.
The true statements about projectile motion in the given options include;
As the projectile moves down, its vertical velocity is positive.As the projectile moves down, its acceleration remains constant.As the projectile moves up, its vertical velocity decreases.As the projectile moves down, its vertical velocity increases.As the projectile moves up, its acceleration remains constant. As the projectile moves up, its vertical velocity is negative.As the projectile moves down, its horizontal velocity remains constant.As the projectile moves up, its horizontal velocity remains constant.Learn more about projectile motion here: https://brainly.com/question/24216590
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In what net direction will water diffuse (by osmosis) when the following solutions are brought into contact with each other on different sides of a semipermeable membrane?
When the following solutions are brought into touch with one another on various sides of a semipermeable membrane, the net direction that water would diffuse (via osmosis) is that Water travels through osmosis from low solute concentration areas to high solute concentration areas.
What is osmosis?Osmosis is the naturally occurring diffusion or passage of water or other solvents over a semipermeable membrane (one that prevents the passage of solutes, or dissolved compounds).
German plant physiologist Wilhelm Pfeffer began a systematic study of the crucial biological process in 1877.
What elements determine the net rate and direction of osmosis?Both the pressure gradient and the concentration gradient affect the net direction and rate of osmosis.
What three forms of osmosis are there?Hypertonic, isotonic, and hypotonic are the three osmotic states.
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Jose is measuring the size of a box he will be using in a coming experiment. He measures the dimensions of the box as 1.1m x 0.250m x 0.73m. Using the correct number of significant figures, what is the volume of this box?
Answer: 0.20075
Explanation:
for a rigid body with particles, let the particle positions in the world space be 1, 2, … , , and the masses of the particles be 1, 2, … , . compute the center of mass of the rigid body in the world space.
The center of mass of the rigid body in the world space will be given below.
[tex]\rm x_{cm} = \dfrac{m_1x_1 + m_2x_2 + ... }{m_1 + m_2 + ... }\\\\\\\rm y_{cm} = \dfrac{m_1y_1 + m_2y_2 + ... }{m_1 + m_2 + ...}\\\\\\\rm z_{cm} = \dfrac{m_1z_1 + m_2z_2 + ... }{m_1 + m_2 + ... }[/tex]
What is the center of mass?The unique location where the graded relation of the scattered mass adds to zero is known as the center of mass in physics. Here is where a load may indeed be exerted to produce a moving object without also producing an angular acceleration.
The center of mass is given as,
[tex]\rm x_{cm} = \dfrac{m_1x_1 + m_2x_2 + ...... + m_nx_n}{m_1 + m_2 + .... + m_n}\\\\\\\rm y_{cm} = \dfrac{m_1y_1 + m_2y_2 + ...... + m_ny_n}{m_1 + m_2 + .... + m_n}\\\\\\\rm z_{cm} = \dfrac{m_1z_1 + m_2z_2 + ...... + m_nz_n}{m_1 + m_2 + .... + m_n}[/tex]
For a rigid body with particles, let the particle positions in the world space be 1, 2, … and the masses of the particles be 1, 2, ….
Then the center of mass will be
[tex]\rm x_{cm} = \dfrac{m_1x_1 + m_2x_2 + ... }{m_1 + m_2 + ... }\\\\\\\rm y_{cm} = \dfrac{m_1y_1 + m_2y_2 + ... }{m_1 + m_2 + ...}\\\\\\\rm z_{cm} = \dfrac{m_1z_1 + m_2z_2 + ... }{m_1 + m_2 + ... }[/tex]
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Two cars, A and B start out 300 meters apart. Car A travels due east toward car B at 30 meters per second. Car B travels due west toward car B at 20 meters per second. How long does it take before the two cars meet?
By using one as a frame of reference, we will see that 6 seconds elapse before the two cars meet.
The correct option is B.
What are the various types of frames of reference?A frame of reference is a clearly defined coordinate system that is used to represent a body's motion or state of rest. Reference frames can be divided into two categories: inertial or non-accelerating frames and non-inertial or accelerating frames.
Briefing:This moves at 30 m/s, then we will see that car A does not move, while car B moves with a speed of:
S = 20m/s + 30m/s = 50m/s
The two cars are moving in opposing directions, therefore the velocities are summed (So car A sees that car B comes faster than it actually does).
We just need to determine how long it will take automobile B to drive 300 metres at 50 m/s now that we are in this frame of reference.
Distance/speed = time
distance = 300m
speed = 50m/s.
(300m)/( 50 m/s) = 6s
This means that 6 seconds elapse before the two cars meet.
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The complete question is -
Two cars, A and B start out 300 meters apart. Car A travels due east toward car B at 30 meters per second. Car B travels due west toward car B at 20 meters per second. How long does it take before the two cars meet?
A- 15s
B- 6s
C- 10s
D- 5s
How many fundamental charges make up the value of the enclosed charge? (answer in billions)
[tex]{\color{Blue} N=3.47\ billions}[/tex]
The electric flux through green spherical surface is[tex]\rightarrow \Phi=62.8\ N\ m^{2}\ C^{-1}[/tex]
Permittivity of free space is [tex]\rightarrow \epsilon_{0}=8.85\times10^{-12}\ F\ m^{-1}[/tex]
Fundamental unit charge value is [tex]\rightarrow q=1.602\times10^{-19}\ C[/tex]
According to Gauss's law, electric flux is directly proportional to the enclosed charge [tex]Q_{enc}[/tex] inside spherical surface, which is given as:
[tex]\therefore \Phi=\frac{Q_{enc}}{\epsilon_{0}}[/tex]
[tex]\therefore Q_{enc}=\Phi \epsilon_{0}[/tex]
[tex]\therefore Q_{enc}=62.8 \times8.85\times10^{-12}[/tex]
[tex]\therefore Q_{enc}=555.75\times10^{-12}\ C[/tex]
therefore, total enclosed charge inside spherical surface is [tex]Q_{enc}=555.75\times10^{-12}\ C.[/tex]
Since charge is quantized, number of fundamental charges N is given as:
[tex]Nq=Q_{enc}[/tex]
[tex]\therefore N=\frac{Q_{enc}}{q}[/tex]
[tex]\therefore N=\frac{555.76\times10^{-12}}{1.602\times10^{-19}}[/tex]
[tex]{\color{Blue} \therefore N=3.47\times10^{9}}[/tex]
[tex]{\color{Blue} \therefore N=3.47\ billions}[/tex]
Therefore, [tex]{\color{Blue} N=3.47\ billions}[/tex] fundamental charges make up the value of the enclosed charge.
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What is the solution to this equation?
X+ 14 = -6
• A. x = -8
• B. x = -20
• C. x=8
• D. x= 20
Answer: It is B
Explanation:
1. x + 14 = -6
2. x + 14 -14 = -6 -14
3. x = -20
4. So, x = -20
Construction workers are building a new skyscraper in a major
city. A crane operator is using a crane to lift a heavy box of
supplies (with a mass of 568 kg) to the top of the building
when the cord suddenly snaps!
The box of supplies free-falls to the ground from a height of
138 m.
How many seconds does it take for the supplies to crash into
the ground below?
Answer:
The time taken for the box of supplies to crash into the ground below is 3.75 s
Data obtained from the questionFrom the question given above, the following data were obtained:
Mass (m) of box supplies = 568 KgHeight (h) = 138 mAcceleration due to gravity (g) = 9.8 m/s²Time (t) =? How to determine the time taken fall to the groundThe time taken for the box of supplies to fall to the ground can be obtained as follow:
h = ½gt²
138 = ½ × 9.8 × t²
138 = 4.9 × t²
Divide both side by 4.9
t² = 138 / 4.9
Take the square root of both side
t = √(138 / 4.9)
t = 3.75 s
Thus, it will take the box of supplies 3.75 s to crash into the ground.
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