We will find that his average velocity is 1.11 m/s north-wise.
How to get the average velocity?
We define average velocity as the quotient between the displacement and the time it takes to make that displacement.
We know that he starts at the point 0m, where this measures distance in the north direction.
Then he moves 1000 meters north, so the new position is 1000m.
Then he moves 200 meters south, so the new position is:
1000m - 200m = 800m.
The displacement is equal to the difference between the final position (800m) and the initial position (0m).
D = 800m - 0m = 800m.
And we know that it takes 12 minutes to walk that distance. Because we want the average velocity in meters per second, we write:
12 minutes = 12*(60 seconds) = 720s
Then the average velocity is just:
AV = (800m)/(720s) = 1.11 m/s
And the direction of this average velocity is north-wise.
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You put your book on the bus seat next to you. When the bus stops suddenly the book slides forward off the seat. Why?
A.) The book received a push from the seat hitting it.
B.) The force applied by the bus caused it to accelerate forward.
C.) The book's inertia carried it forward.
D.) The book could never slide forward to begin with.
Answer:
C) The book's inertia carried it forward.
When the bus stops suddenly, the book tends to remain in motion due to its inertia. The book was at rest on the seat of the bus, and when the bus stopped suddenly, the book continued moving forward with the same speed and direction it had before the bus stopped. As a result, the book slid off the seat and onto the floor.
You are designing an airplane propeller that is to turn at 2400 rpm (Fig. 9.13a). The forward airspeed of the plane is to be 75.0 m/s 75.0 m/s, and the speed of the propeller tips through the air must not exceed 270 m/s 270 m/s. (This is about 80% of the speed of sound in air. If the propeller tips moved faster, they would produce a lot of noise.) What is the maximum possible propeller radius?
Answer:
r = 1.07 m
Explanation:
The maximum radius of the propeller that can be allowed is given by the following formula:
\(v = r\omega\\\\r = \frac{v}{\omega}\)
where,
r = maximum possible radius of the propeller = ?
v = maximum possible linear speed of the propeller = 270 m/s
ω = angular speed of the propeller = (2400 rpm)(2π rad/1 rev)(1 min/60 s)
ω = 251.33 rad/s
Therefore,
\(r = \frac{270\ m/s}{251.33\ rad/s}\)
r = 1.07 m
Please help (science)
Plate Boundaries on Earth
Plate boundaries represent parts of the Earth where plates come in contact with one another. There are different ways in which these plates can move and interact. In this assignment, you will identify each type of plate movement and create an illustration to represent this.
Open the worksheet to get started. Use the criteria below to see what you should include in this assignment.
Row 1: Plate Boundary (Movement)
Write the type of plate boundary: convergent, divergent, transform.
Write the correct description for each in parentheses below the name: sliding, separating, or colliding.
Row 2: Diagram
Draw a diagram or illustration of the plate movement at the plate boundary. Include arrows to show whether the plates are colliding, separating, or dividing.
Row 3: Lithosphere (Created or Destroyed)
Identify whether the Earth's crust is created or destroyed at this type of plate boundary.
Row 4: Geologic Process
Give at least one example of the type of process or geological event that occurs on the Earth when the plates move in this manner.
Row 5: Real World Example
Give at least one example of a place on the planet where this type of plate movement is demonstrated along the plate boundary. Include both the location and name of the example.
Row 6: References
This assignment requires you to conduct formal research. When researching, make sure to use only valid and reliable resources; Wikipedia, blogs, and answer sites are not valid or reliable. References must be cited in APA format. Please provide your references in APA format in this column.
Here is a draft of the worksheet for the three main plate boundary types:
Plate Boundary (Movement) Convergent (Colliding)
Diagram
||
||
||
Lithosphere (Created or Destroyed)
Created
Geologic Process Mountain building
Real World Example
Himalayas (Along India-Eurasia plate boundary in Asia)
References
APA reference for research
Plate Boundary (Movement) Divergent (Separating)
Diagram
|||||
Lithosphere (Created or Destroyed)
Destroyed
Geologic Process
Volcanic eruptions and rift valleys
Real World Example
Mid-Atlantic Ridge (Between North America and Europe plates)
References
APA reference
Plate Boundary (Movement) Transform (Sliding)
Diagram
|||||||||
Lithosphere (Created or Destroyed)
Neither
Geologic Process
Earthquakes
Real World Example
San Andreas Fault (California, USA along Pacific-North America plates)
References
APA reference
Let A denote the event that the next request for assistance from a statistical software consultant relates to the SPSS package, and let B be the event that the next request is for help with SAS. Suppose that P(A) =. 30 and P(B) = .50...
According to the statement, on the assumption of requesting help from a statistical software consultant, the given case that P(A) + P(B) = 1 is not true, since A and B are not mutually exclusive events.
It is possible for the next request to be related to both SPSS and SAS, in which case it would be included in both A and B. Therefore, we cannot simply add their probabilities to get the total probability of either event.
B. P(A') represents the probability that the next request is NOT related to the SPSS package. We can find this by subtracting P(A) from 1, since the sum of the probabilities of an event and its complement is always equal to 1:
P(A') = 1 - P(A) = 1 - 0.30 = 0.70
Therefore, the probability that the next request is NOT related to SPSS is 0.70.
C. P(A ∪ B) represents the probability that the next request is related to either SPSS or SAS or both. We can find this by using the formula:
P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
Where P(A ∩ B) represents the probability that the next request is related to both SPSS and SAS. Since we don't have information about the probability of this intersection, we cannot calculate P(A ∪ B) exactly. However, we know that the probability of the intersection must be between 0 and the minimum of P(A) and P(B), which in this case is 0.30. Therefore, we can say:
0 ≤ P(A ∩ B) ≤ 0.30
and use this range to get a lower and upper bound for P(A ∪ B):
P(A ∪ B) = P(A) + P(B) - P(A ∩ B) ≤ 0.30 + 0.50 - 0 = 0.80
P(A ∪ B) = P(A) + P(B) - P(A ∩ B) ≥ 0.30 + 0.50 - 0.30 = 0.50
Therefore, the probability that the next request is related to either SPSS or SAS (or both) is between 0.50 and 0.80.
D. P(A' ∩ B') represents the probability that the next request is NOT related to either SPSS or SAS. We can find this using the formula:
P(A' ∩ B') = P((A ∪ B)')
Where (A ∪ B)' represents the complement of the event that the next request is related to either SPSS or SAS (or both). We can find (A ∪ B)' using the formula:
(A ∪ B)' = A' ∩ B'
Which represents the event that the next request is NOT related to either SPSS or SAS. Therefore:
P(A' ∩ B') = P((A ∪ B)') = 1 - P(A ∪ B)
From part c, we know that 0.50 ≤ P(A ∪ B) ≤ 0.80, so:
P(A' ∩ B') = 1 - P(A ∪ B) ≤ 1 - 0.50 = 0.50
P(A' ∩ B') = 1 - P(A ∪ B) ≥ 1 - 0.80 = 0.20
Therefore, the probability that the next request is NOT related to either SPSS or SAS is between 0.20 and 0.50.
Complete question:
Let A denote the event that the next request for assistance from a statistical software consultant relates to the SPSS package, and let B be the event that the next request is for help with SAS. Suppose that P(A) =. 30 and P(B) = .50.
a. Why is it not the case that P(A) + (B) = 1?
b. Calculate P(A ′).
c. Calculate P(A ∪B).
d. Calculate P(A′ ∩B′).
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In a local bar, a customer slides an empty beer mug down the counter for a refill. The height of the counter is 1.36 m. The mug slides off the counter and strikes the floor 1.00 m from the base of the counter.(a) With what velocity did the mug leave the counter?m/s(b) What was the direction of the mug's velocity just before it hit the floor?° (below the horizontal)
(a) Velocity with which the mug leaves the counter is approximately 5.02 m/s.
(b) The direction of velocity of mug just before it hits the floor is downwards, since mug is falling under influence of gravity.
What is velocity?Velocity is a quantity that designates how fast and also in what direction a certain point is moving.
(a) As we know, PE = m g h
\(\mathrm{PE = mgh }\)
\(\mathrm{= (m)(9.81 m/s^2)(1.36 m) }\)
= 13.4mJ
\(\mathrm{KE =\frac{1}{2} mv^2}\)
PE = KE
\(\mathrm{mgh = \frac{1}{2}mv^2}\)
\(\mathrm{v = \sqrt{2gh}}\)
\(\mathrm{v = \sqrt{2 \times 9.81 \times 1.36 m}}\)
v = 5.02 m/s
Therefore, the velocity with which the mug leaves the counter is approximately 5.02 m/s.
(b) The direction of the velocity of mug just before it hits the floor is downwards, since mug is falling under the influence of gravity. Velocity vector has a vertical component that points downwards and horizontal component that is parallel to counter.
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the distance between an object and its real image is 40 cm, if the magnification is 3, calculate the object and image distance if the focal length of the lens is 15 cm
The object distance of the lens is 10 cm and the image distance of the lens is 30 cm.
What is the image and object distance?The object and image distance formed by the lens is calculated by applying the following lens formula.
v + u = 40 ------- (1)
v/u = 3 ------------ (2)
v = 3u
Substitute v into equation (1);
3u + u = 40
4u = 40
u = 40/4
u = 10 cm
The image distance = 3u
= 3 x 10 cm
= 30 cm
Thus, the object distance is 10 cm and the image distance is 30 cm.
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Why are weathering, erosion and deposition a NECESSARY process in the rock cycle?
ANSWER THIS NOW PLEASE! AND YOU GET 225 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
YESS well it is partly nessary but it depends on the situation
Explanation:
Answer:
Weathering, erosion, and deposistion are necessary processes in the rock cycle because:
Explanation:
First, start with igneous rocks. magma erupts (Extrusive igneous rocks) or solidifies in the sub-surface of the earth (Intrusive igneous rock). when they are exposed Weathering and erosion occur which is a slow breakdown of rock through the wind, water, or other processes. The weathered pieces (sediments) move to other places by wind or water and get deposited someplace else. When there are enough sediments and there is overburden pressure on these sediments, they become a sedimentary rock. Due to overburden pressure, they become metamorphic rocks. now the thing to understand here is that when metamorphic rocks are exposed, they too undergo weathering and erosion and their pieces also become sedimentary rocks.
The speed of sound
Medium Air (0C) Air (20°C) Helium (0°C) Ethyl alcohol Water Human tissue (ultrasound Lead Aluminum Granite Diamond
Speed (m/s) 331 343 970 1170 1480 1540 1200 5100 6000 12.000
Oil explorers set off explosives to make loud sounds, then listen for the echoes from underground oil deposits. Geologists suspect that there is oil under 480-m-deep Lake Physics. It's known that Lake Physics is carved out of a granite basin. Explorers detect a weak echo 0.930 ss after exploding dynamite at the lake surface. Part A If it's really oil, how deep will they have to drill into the granite to reach it
Answer:
Explanation:
Let the required depth be d .
Sound will first travel trough 480 m deep lake . Then it will enter granite layer . Sound travelling through granite will reach oil level , get reflected and come back to the surface of lake as echo . Total time taken by sound to travel total distance is .93 s
Total distance = 2d + 2 x 480 m
= 2d + 960 m
speed of sound in granite is given as 6000 m / s and speed through water is 1480 m /s
total time taken
= 2d / 6000 + 960 / 1480 = .93
2d / 6000 + .6486 = .93
2d / 6000 = .2814
d= 844.2 m
Part A
Which factors affect the speed of ocean waves?
Two objects with masses of m1 = 3.70 kg and m2 = 5.70 kg are connected by a light string that passes over a frictionless pulley, as in the figure below. Answer parts a-c.
(a) The tension in the string is determined as 19.6 N.
(b) The acceleration of each object is 5.3 m/s².
(c) The distance each object will move in the first second if it started from rest is 2.65 m.
What is the tension in the string?(a) The tension in the string is the resultant weight of the masses and magnitude is calculated as follows;
T = ( 5.7 kg - 3.7 kg ) x 9.8 m/s²
T = 19.6 N
(b) The acceleration of each object is calculated as follows;
a = T / m
where;
m is the mass T is the tensiona = 19.6 N / 3.7 kg
a = 5.3 m/s²
(c) The distance each object will move in the first second if it started from rest is calculated as;
s = ut + ¹/₂at²
where;
u is the initial velocity = 0s = 0 + ¹/₂(5.3)(1²)
s = 2.65 m
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Water flows at a speed of 13 m/s through a pipe that has a diameter of 1.2 m. What is the
diameter of the smaller end of the pipe that the water comes out with a speed of 30 m/s?
The diameter of the smaller end of the pipe is approximately 0.78 meters.
To determine the diameter of the smaller end of the pipe, we can use the principle of conservation of mass. According to this principle, the mass flow rate of water should remain constant throughout the pipe.
The mass flow rate is given by the equation:
Mass flow rate = density of water * cross-sectional area * velocity
Since the density of the water remains constant, we can write:
Cross-sectional area1 * velocity1 = Cross-sectional area2 * velocity2
Given that the velocity1 is 13 m/s, the diameter1 is 1.2 m, and the velocity2 is 30 m/s, we can solve for the diameter2 using the equation:
(pi * (diameter1/2)^2) * velocity1 = (pi * (diameter2/2)^2) * velocity2
Simplifying the equation:
(1.2/2)^2 * 13 = (diameter2/2)^2 * 30
Calculating the equation:
(0.6)^2 * 13 = (diameter2/2)^2 * 30
0.36 * 13 = (diameter2/2)^2 * 30
4.68 = (diameter2/2)^2 * 30
Dividing both sides by 30:
0.156 = (diameter2/2)^2
Taking the square root of both sides:
0.39 = diameter2/2
Multiplying both sides by 2:
0.78 = diameter2
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Cs-124 has a half-life of 30.8 s
A) If we have 7.5 μg initially, how many Cs nuclei are present?
B) How many nuclei are present 2.6 min later?
A) There are 3.70 x 10¹⁶ Cs nuclei present initially and B) There are 2.27 x 10¹⁵ Cs nuclei present 2.6 min later.
A) To solve this problem, we can use the following equation,
\(N = N'2^{\frac{-t}{T_{1/2}}}\)), number of Cs nuclei present is N, initial number of Cs nuclei present is N', elapsed time is t, half-life of Cs-124 is T½. First, we need to convert the initial mass of Cs-124 to the number of nuclei present,
7.5 μg Cs-124(1g/10⁶μg)(6.022x10²³nuclei/1g)
= 4.52 x 10¹⁵ Cs-124 nuclei.
Using the equation above, we can find the number of Cs-124 nuclei present after 0 s,
\(N = 4.52 * 10^{15} * 2^{\frac{-0}{30.8}}}\)
= 4.52 x 10¹⁵ Cs-124 nuclei
Therefore, initially, there are 4.52 x 10¹⁵ Cs-124 nuclei present.
B) After 2.6 min (156 s), we can again use the same radioactivity equation to find the number of Cs-124 nuclei present,
\(N = 4.52 * 10^{15} * 2^{\frac{-156}{30.8}}}\)
N = 1.60 x 10¹⁴ Cs-124 nuclei
Therefore, 2.6 min later, there are 1.60 x 10¹⁴ Cs-124 nuclei present.
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which of the following can be used to organize large volumes of data into meaningful patterns and summaries?
Data mining can be used to organize large volumes of data into meaningful patterns and summaries.
Large data sets are sorted through in data mining in order to find patterns and relationships that may be used in data analysis to assist solve business challenges. Enterprises can forecast future trends and make more educated business decisions thanks to data mining techniques and technologies.
Data mining is a crucial component of data analytics as a whole and one of the fundamental fields in data science, which makes use of cutting-edge analytics methods to unearth valuable information in data sets. Data mining, at a more detailed level, is a step in the knowledge discovery in databases (KDD) procedure, a data science approach for obtaining, processing, and evaluating data. Although they are often used interchangeably, data mining and KDD are more frequently understood to be separate concepts.
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Find the electric field at a point midway between two charges of +40.0x10^-9C and +60.0x10^-9C separated by a distance of 30.0cm
The total electric field produced by the charges at the midpoint is
8 x 10³ N/C.
Amount of charge on the first particle, q₁ = 40 x 10⁻⁹C
Amount of charge on the second particle, q₂ = 60 x 10⁻⁹C
Distance between the charges, r = 30 cm = 0.3 m
The expression for the electric field due to the charges is given by,
E = 1/4πε₀ x q/r²
At the midpoint between the two charges, d = 0.15 m
So, the electric field produced by the charge q₁ at the midpoint is,
E₁ = 1/4πε₀ x q₁/d²
E₁ = 9 x 10⁹ x 40 x 10⁻⁹/(0.15)²
E₁ = 1.6 x 10⁴ N/C
So, the electric field produced by the charge q₂ at the midpoint is,
E₂ = 1/4πε₀ x q₂/d²
E₂ = 9 x 10⁹ x 60 x 10⁻⁹C/(0.15)²
E₂ = 2.4 x 10⁴ N/C
Therefore, the total electric field produced by the charges at the midpoint is,
E = E₂ - E₁
E = 2.4 x 10⁴- 1.6 x 10⁴
E = 8 x 10³ N/C
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Suppose that two objects attract each other with a gravitational force of 16 units. If the distance between the two objects is reduced by a factor of 5, then what is the new force of attraction between the two objects? *
Explanation:
Fgravity = G*(mass1*mass2)/D²
G is the gravitational constant throughout the universe.
D is the distance between both objects.
D is now reduced by a factor of 5, meaning Dnew = D/5 we get
Fgravitynew = G*(mass1*mass2)/(D/5)² =
= G*(mass1*mass2)/(D²/25) =
= 25* G*(mass1*mass2)/D² = 25* Fgravity
the new force of gravity/attraction is 25×16 = 400 units.
Please explain thoroughly and show work if needed! Thank youuu :) -If the period of a pendulum decreases from 8 seconds to 2 seconds, how will that affect the frequency of the pendulum?
Answer:
Physics
Explanation:
The period of a pendulum is the time it takes for the pendulum to complete one full oscillation, or swing back and forth. The frequency of a pendulum, on the other hand, is the number of oscillations it completes in one second. The frequency is calculated by taking the reciprocal of the period, or 1/period.
If the period of a pendulum decreases from 8 seconds to 2 seconds, it means that the pendulum is swinging back and forth more quickly, as it is taking less time to complete one full oscillation. To find the new frequency of the pendulum, we can use the formula:
frequency = 1 / period
Initially, when the period was 8 seconds, the frequency was:
frequency = 1 / 8 = 0.125 Hz
After the period decreased to 2 seconds, the new frequency can be calculated as:
frequency = 1 / 2 = 0.5 Hz
So, the frequency of the pendulum increases from 0.125 Hz to 0.5 Hz when the period decreases from 8 seconds to 2 seconds. This means that the pendulum is oscillating at a faster rate, completing more oscillations in one second.
A researcher investigated whether job applicants with popular (i.e. common) names are viewed more favorably than equally qualified applicants with less popular (i.e. uncommon) names. Participants in one group read resumes of job applicants with popular (i.e. common) names, while participants in the other group read the same resumes of the same job applicants but with unpopular (i.e. uncommon) names. The results showed that the differences in the evaluations of the applicants by the two groups were not significant at the .001 level
The researcher did not find strong evidence to support the idea that job applicants with popular names are viewed more favorably than equally qualified applicants with less popular names.
What factors plan an important role in the hiring process for a job?It sounds like the researcher conducted an experiment to investigate whether job applicants with popular names are viewed more favorably than equally qualified applicants with less popular names.
Based on the information provided, the researcher found that the differences in the evaluations of the applicants by the two groups were not significant at the .001 level.
The factors that play an important role in the hiring process for a job:
(1) Qualifications and experience: Employers typically look for candidates who possess the necessary qualifications and experience for the job. This includes education, training, certifications, and work experience.
(2) Skills and abilities: Employers also consider a candidate's skills and abilities related to the job. These may include technical, interpersonal, communication, and problem-solving skills.
(3) Personal characteristics: Personal characteristics, such as motivation, work ethic, and adaptability, can also play a role in the hiring process. Employers may look for candidates who demonstrate a positive attitude, a willingness to learn, and the ability to work well with others.
(4) Fit with company culture: Companies may also consider whether a candidate fits with their company culture, values, and mission. This can include factors such as teamwork, creativity, and innovation.
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5. On Earth, where is hydrogen not found?
• A. Mine
• B. Natural gas well
• C. Water
O D. Atmosphere
Answer:
Atmosphere
Explanation:
Hydrogen,
H
2
, is one of the lightest gases that can be found on Earth. The other gas is helium, and these two gases are both lighter than air, because they have a high degree of buoyancy.
This means that the air below it is pushing up with a greater force than the air above it is forcing it down.
PLEASE HELP AND SHOW WORK,THANK YOU!!
4) Suppose that two identical
mass planets are sitting
million miles apart. At that
distance the planets have a
gravitational force of 1,000,000 N.
If the planets are moved
to two million miles apart, what
is the new gravitational force
between them?
The new gravitational force between the two planets, when they are moved to two million miles apart, is 250,000 N
The gravitational force between two objects can be calculated using Newton's Law of Universal Gravitation, which states that the force is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers.
Given:
Initial distance between the planets = 1 million miles
Initial gravitational force = 1,000,000 N
Final distance between the planets = 2 million miles
To determine the new gravitational force, we need to compare the ratios of the distances and apply the inverse square law.
Let's denote the initial distance as d1, the initial gravitational force as F1, the final distance as d2, and the unknown final gravitational force as F2.
According to the inverse square law, the ratio of the gravitational forces is the square of the ratio of the distances:
(F2/F1) = (d1/d2)²
Substituting the given values:
(F2/1,000,000 N) = (1 million miles / 2 million miles)²
Simplifying:
(F2/1,000,000 N) = (1/2)²
(F2/1,000,000 N) = 1/4
F2 = (1/4) * 1,000,000 N
F2 = 250,000 N
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A 0.76 kg spike is hammered into a railroad
tie. The initial speed of the spike is equal to
4.8 m/s.
If the tie and spike together absorb 18.7
percent of the spike's initial kinetic energy
as internal energy, calculate the increase in
internal energy of the tie and spike.
Answer in units of J.
After considering the given data we come to the conclusion that the increase in the internal energy of the tie and spike is 16.322 J, under the condition that a given weight of 0.76 kg spike had been jamed into a railroad tie .
In order to evaluate the increase in internal energy of the tie and spike we have to apply the formula of kinetic energy which is
1/2 × mv²
Here,
m = mass
v = velocity
Staging the values in the formula
Kinetic energy of the spike = (1/2)× (0.76)×(4.8)²= 87.2064 J
Energy absorbed by the tie and spike = 87.2064 J × 0.187 = 16.322 J
Hence, the evaluate rise in internal energy of the tie and spike is 16.322 J.
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two particles with equal charge experiences a force of 12 nN where they are 30 cm apart. what is the magnitude of the charge on each particle
Considering the Coulomb's Law, the magnitude of the charge on each particle is 4.2426 C.
Definition of Coulomb's LawCoulomb's law or law of electrostatics is the relationship between the interactions of electric charges, that is, it explains the force experienced by two electric charges at rest.
This law says that the electric force with which two point charges at rest attract or repel each other is directly proportional to the product of the magnitude of both charges and inversely proportional to the square of the distance that separates them, expressed mathematically as:
\(F=k\frac{Qq}{d^{2} }\)
where:
F is the electrical force of attraction or repulsion. It is measured in Newtons (N).Q and q are the values of the two point charges. They are measured in Coulombs (C).d is the value of the distance that separates them. It is measured in meters (m).k is a constant of proportionality called the Coulomb's law constant. It depends on the medium in which the charges are located. Specifically for vacuum k is approximately 9×10⁹ \(\frac{Nm^{2} }{C^{2} }\).The force is attractive if the charges are of opposite sign and repulsive if they are of the same sign.
Magnitude of the charge on each particleIn this case, you know that:
F= 12 nN= 1.8×10⁻⁸ N (being 1 nN= 1×10⁻⁹ N)k= 9×10⁹ \(\frac{Nm^{2} }{C^{2} }\)Q= qd= 30 cm= 0.3 m (being 100 cm= 1 m)Replacing in the Coulomb's Law:
\(1.8x10^{-8} N=9x10^{9} \frac{Nm^{2} }{C^{2} }\frac{Qq}{(0.3 m)^{2} }\)
Being Q=q:
\(1.8x10^{-8} N=9x10^{9} \frac{Nm^{2} }{C^{2} }\frac{q^{2} }{(0.3 m)^{2} }\)
Solving:
1.8×10⁻⁸ N÷ 9×10⁹ \(\frac{Nm^{2} }{C^{2} }\)= q²÷ (0.3 m)²
2×10⁻¹⁸ C²/m²= q²÷ (0.3 m)²
2×10⁻¹⁸ C²/m²= q²÷ 0.09 m²
2×10⁻¹⁸ C²/m² ×0.09 m²= q²
1.8×10⁻¹⁹ C²= q²
√1.8×10⁻¹⁹ C²= q
4.2426 C= q= Q
Finally, each charge has a value of 4.2426 C.
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A Ring, a solid Cylinder and a solid sphere all having the same mass and the Same radius are held at the top of an inclined plane if the objects are roll without slipping and the (see the picture)between each object and the plane is 0.3 if they are released from an incloed plane at the same time which wal bee reach the bottom first?
Answer:
Since they all have the same mass and radius they all experience the same amount of torque.
Torque = moment of inertia * angular acceleration
The one with the smallest moment of inertia will experience the greatest angular acceleration and thus reach the bottom first.
I = M r^2 ring
I = 1/2 M r^2 cylinder
I = 2/5 M r^2 sphere
The sphere will reach the bottom first.
A rocket engine consumes 118kg of fuel per second
If the exhaust speed is 5000m/s , calculate the thrust in the rocket.please give your answers in kN
The thrust force that is acting on the rocket engine is obtained as 5782 kN.
What is the thrust?We know that the thrust is the force that is acting on an object that enables the object to be able to move higher. The thrust force can be applied to a rocket such that the rocket can be able to move higher and then pass through the air.
This implies that the thrust force is about the most important force when we want to be able to launch a rocket or when we are trying to move an aeronautical engine. In this case, we are asked to be able to obtain the thrust force as we can see from the parameters that have been given.
We now know that the thrust force can be obtained as; 118kg * 9.8 m/s^2 * 5000m/s = 5782 kN
There would be a thrust of 5782 kN working on the engine.
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In which part of a lab report would be the following sentence most likely occur? “Since the data showed that the
Answer:
most likely be included in the analysis section of a lab report
Explanation:
A soccer ball is kicked with an initial horizontal velocity of 11 m/s and an initial vertical velocity of 17 m/s.
1)what is the initial speed of the ball?20.25 m/s
2)what is the initial angle 0 of the ball with respect to the ground? 57.09 degrees
3)what is the maximum height the ball goes above the ground? 14.74m
I need help with 4,5 and 6
4)How far from where it was kicked will the ball land?
5) what is the speed of the ball 2.5 second after it was kicked?
6)how high above the ground is the ball 2.5 seconds after it is kicked?
The answers are 4. The distance from where the ball was kicked is 38.06 meters, 5. The speed of the ball 2.5 seconds after it was kicked is 13.82 m/s, and 6. The ball is 21.88 meters above the ground 2.5 seconds after it is kicked.
4) To calculate the distance from where the ball was kicked, we need to find the time it takes to reach the ground. We can use the fact that the vertical displacement of the ball is zero at the highest point. Using the formula vf = vi + at, the time it takes to reach maximum height is t = vf / g where g is the acceleration due to gravity which is -9.8 m/s² since it is downward and vf is the final velocity which is 0 because the ball comes to rest at the highest point. t = 17 / 9.8 = 1.73 s. This means the total time for the ball to hit the ground is 2 x 1.73 = 3.46 s. Using the formula for horizontal distance traveled d = vt, we get d = 11 x 3.46 = 38.06 m. So, the distance from where the ball was kicked will be 38.06 meters.5) To calculate the speed of the ball 2.5 seconds after it was kicked, we need to find the horizontal and vertical components of the velocity of the ball at 2.5 seconds. The horizontal component is constant, so it will still be 11 m/s. To find the vertical component, we use the formula vf = vi + at where vi is initial velocity, a is acceleration due to gravity which is -9.8 m/s² and t is the time which is 2.5 seconds. vf = 17 + (-9.8 x 2.5) = -7.5 m/s. Since the ball is moving downward, the velocity is negative. Therefore, the speed of the ball 2.5 seconds after it was kicked is sqrt(11² + (-7.5)²) = 13.82 m/s.6) To calculate how high above the ground is the ball 2.5 seconds after it is kicked, we use the formula for the displacement of an object in the vertical direction y = vi*t + (1/2)*a*t² where vi is initial velocity, a is acceleration due to gravity which is -9.8 m/s² and t is the time which is 2.5 seconds. y = 17*2.5 + (1/2)*(-9.8)*(2.5)² = 21.88 m. So, the ball is 21.88 m above the ground 2.5 seconds after it is kicked.For more questions on speed
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wholl do absolutley anything to get a really hard question answered whos a girl
Answer:
meeee
Explanation:
Answer:
Me
Explanation:
:)
Compared to the speed of light in a material medium, the speed of light in a vacuum is…….
Answer:
Explanation:
The speed in the medium is always slower than the speed in a vacuum.
A uniform electric field is directed upward and has a magnitude of 24 N/C. A charge of -6 C is placed in this
field.
The direction of the force on the charge placed in the electric field is upward.
True or False
The statement" The direction of the force on the charge placed in the electric field is upward" is false because the direction of the force on a negative charge (-6 C) placed in an upward-directed uniform electric field of magnitude 24 N/C would be downward.
The direction of the force on a charged particle placed in an electric field is determined by the charge of the particle and the direction of the electric field. In this case, a charge of -6 C is placed in an electric field directed upward with a magnitude of 24 N/C.
The force on a charged particle in an electric field can be calculated using the formula:
F = q * E
Where F is the force, q is the charge of the particle, and E is the electric field.
Since the charge q in this case is negative (-6 C) and the electric field E is directed upward, we can substitute the values into the formula:
F = (-6 C) * (24 N/C)
F = -144 N
The negative sign in the force value indicates that the force is in the opposite direction to the electric field. Therefore, the force on the charge placed in the electric field is downward, not upward.
The force on a negative charge is always opposite to the direction of the electric field. This is because negative charges experience an attractive force towards positive charges, and electric fields are directed from positive charges to negative charges.
Therefore, the statement "The direction of the force on the charge placed in the electric field is upward." is false.
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An electric motor takes 30 s to lift a box of mass 45 000g to a height of 1.7 m. Calculate the power of the electric motor.
Power P is the amount of energy E transferred or converted per unit time t, and is expression is:
P = E/t
The necessary energy to lift the box its the work of against the Gravity Force, and is given by:
E = mgh
Then the power is:
P = E/t
P = mgh/t
P = (45 kg)(9.8 m/s²)(1.7 m )/ 30
P = 24.99 W
P ≈ 25 WIf the fundamental frequency of this harmonic is 7 Hz, at which frequency is this created? (Just type the number, not the units) pic attached below
If the fundamental frequency of the harmonic is 7 Hz, the frequency at which it is created depends on the harmonic being referred to.
How do we explain?Frequency of harmonics
If the fundamental frequency of a harmonic is 7 Hz, then the frequency at which the harmonic is created depends on the harmonic series being used.
The frequency of the nth harmonic in a harmonic series is equal to n times the fundamental frequency. Therefore, the first five harmonics of a harmonic series with a fundamental frequency of 7 Hz would be:
First harmonic (fundamental): 7 Hz
Second harmonic: 2 x 7 Hz = 14 Hz
Third harmonic: 3 x 7 Hz = 21 Hz
Fourth harmonic: 4 x 7 Hz = 28 Hz
Fifth harmonic: 5 x 7 Hz = 35 Hz
So, the frequency at which the harmonic with a fundamental frequency of 7 Hz is created depends on which harmonic is being referred to.
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