Write an equation for the strength of the electrostatic force for two charges that are separated by 10 meters. Use the Gizmo to check your equation

Answer:

According to Newton's third law, the force exerted on each driver during the collision is equal and opposite to the force exerted on their respective vehicles. We can use the principle of conservation of momentum to find the force experienced by each driver.

The initial momentum of the car and driver is the product of their mass and velocity: (800 kg)(6.60 m/s) = 5280 kgm/s. The initial momentum of the truck and driver is (4000 kg)(6.60 m/s) = 26400 kgm/s. After the collision, the final momentum of the combined system (the car, truck, and drivers) is 0, since the collision is perfectly inelastic and the two vehicles stick together. This means that the final momentum of the car and driver is equal and opposite to the final momentum of the truck and driver.

We can set up the following equation to solve for the force experienced by the car driver:

Force (car driver) = (final momentum of car and driver) / (collision time)

= (-final momentum of truck and driver) / (collision time)

= (-26400 kg*m/s) / (0.100 s)

= -26400 N

The negative sign indicates that the force is in the opposite direction of the initial momentum of the car and driver. The force experienced by the truck driver is equal in magnitude to the force experienced by the car driver, so the force experienced by the truck driver is also -26400 N.

Explanation:

Given :

Answer:

For calculating Upthrust on block we will have to first find out Volume of block :

↪Volume of block = Volume of water displaced

↪ Volume of block = 1000 cm³ = 0.001 m³

Now, we will calculate the Upthrust on block:

↪ Upthrust on block = Volume of block * Density of water * g

↪ Upthrust on block = 0.001 * 1000 * g

↪ Upthrust on block = 1 kgf

Answer:

a) given that mass=0.6kg,distance of stretching from equilibrium position x=0.9m from new ton's second law,F=ma where a is acceleration of the body.Therefore,force on the spring -mass syste

Explanation:

hope it helps

Answer:

Femur

Explanation:

The femur is the single bone of the thigh region. It articulates superiorly with the hip bone at the hip joint, and inferiorly with the tibia at the knee joint.

As an AI language model, I don't have real-time access to current news or the ability to browse the internet. My training data only goes up until September 2021, so I cannot provide you with the most up-to-date information on stories that humorists are currently drawing cartoons about.

However, I can give you a general idea of the types of stories that often attract the attention of humorists and inspire them to create cartoons. Please note that these examples may not be specific to the current news cycle:

Political figures: Humorists often create cartoons about politicians and their actions, speeches, or scandals.

Social issues: Topics like climate change, inequality, or social movements can be a source of inspiration for satirical cartoons.

Pop culture: Current trends, celebrities, or popular events often serve as material for humorists to create cartoons that capture the zeitgeist.

Technology and internet culture: The impact of technology, social media, and the internet on society can provide humorous fodder for cartoonists.

Global events: Major international news, such as elections, conflicts, or diplomatic incidents, may be satirized in cartoons.

Sports: Significant sporting events or controversies in the sports world can be the subject of humorous cartoons.

To stay up to date with the latest news and the cartoons being produced, I recommend checking out news websites, satirical publications, or following humorists and cartoonists on social media platforms.

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Answer:

16. Two or more liquids that can dissolve into each other are referred to as miscible.

17. Tooth fillings are often made of gold or porcelain because those materials are not soluble.

18. Ice floats in water because it is less dense than water.

19. Wheat ground into flour is an example of a(n) physical change.

hope this helps!

The mass M is 150 Kg

Weight is a measure of the force exerted on an object due to gravity, whereas mass is a measure of the amount of matter in an object. To convert mass to weight, you multiply the mass by the acceleration due to gravity. The formula for converting mass to weight is:

Weight = mass * acceleration due to gravity

The acceleration due to gravity is 10 m/s^2 on the surface of the Earth.

Mass = 1500 N/10 m/s^2

= 150 Kg

Thus the mass of the object can be obtained as 150 Kg

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A. the relationship is T = -1840x + 212. B. the boiling point at an altitude of 3,500 feet is approximately 187.6°F. C. the altitude corresponding to a boiling point of 200°F is approximately 0.0065 thousands of feet. D. The point (3.5, 187.6) will represent the boiling point at an altitude of 3,500 feet, and the point (0.0065, 200) will represent the altitude corresponding to a boiling point of 200°F.

(A) To find the relationship of the form T = mx + b, we can use the two given data points: (0, 212) and (10, 193.6).

Let's first convert the altitude from feet to thousands of feet. So, the data points become (0, 212) and (10/1000, 193.6).

Using the slope-intercept form, we have:

T = mx + b

Substituting the values of the two points, we get two equations:

212 = m(0) + b

193.6 = m(10/1000) + b

From the first equation, we find that b = 212.

Substituting this value into the second equation, we have:

193.6 = m(10/1000) + 212

Simplifying, we get:

193.6 - 212 = m(10/1000)

-18.4 = 0.01m

Dividing both sides by 0.01, we get:

m = -18.4 / 0.01

m = -1840

Therefore, the relationship is T = -1840x + 212.

(B) To find the boiling point at an altitude of 3,500 feet (3.5 thousands of feet), we substitute x = 3.5 into the equation

T = -1840(3.5) + 212

T = -6440 + 212

T = 187.6

So, the boiling point at an altitude of 3,500 feet is approximately 187.6°F.

(C) To find the altitude if the boiling point is 200°F, we set T = 200 in the equation and solve for x:

200 = -1840x + 212

-1840x = 200 - 212

-1840x = -12

x = -12 / -1840

x ≈ 0.0065

So, the altitude corresponding to a boiling point of 200°F is approximately 0.0065 thousands of feet.

(D) Graph:

To graph T, we can use the equation T = -1840x + 212.

The graph will have altitude (x) on the x-axis and temperature (T) on the y-axis. Plotting the points (0, 212) and (10, 193.6), and connecting them with a straight line, we can illustrate the answers to (B) and (C) on the graph. The point (3.5, 187.6) will represent the boiling point at an altitude of 3,500 feet, and the point (0.0065, 200) will represent the altitude corresponding to a boiling point of 200°F.

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Organizations focus on efforts to decrease the human impact on the environment and have worked to pass laws focused on sustainable development.

People are cooperating to reduce environmental damage through various means. One way is through the efforts of organizations that prioritize actions to decrease the human impact on the environment. These organizations work on initiatives such as promoting renewable energy, advocating for responsible resource consumption, and supporting conservation efforts.

Additionally, organizations have played a role in passing laws and regulations aimed at sustainable development. These laws can address issues like pollution control, waste management, and the protection of natural resources. By implementing and enforcing such laws, they aim to mitigate environmental damage and encourage more sustainable practices in various sectors.

Cooperation at an international level is also evident through the efforts of the United Nations. The United Nations has created programs and initiatives to help businesses find resources and support sustainable practices. They provide guidelines, expertise, and funding to encourage environmentally friendly approaches.

It is important to note that efforts to reduce environmental damage involve a collaborative approach, involving not only organizations but also individuals, communities, and governments. By working together, they strive to achieve a more sustainable and environmentally conscious future.

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The given problem involves a mild steel bar placed inside a hollow aluminum cylinder. Both the bar and cylinder have the same length but different diameters. When an axial compressive load of 1000 N is applied to the composite bar, it contracts by the same amount. To solve the problem, we need to calculate the stress in each material. Additionally, we are asked to determine the final stress in the bar and cylinder when the temperature is reduced by 150°C without any change in length.

To calculate the stress in each material, we need to first determine the change in length of the composite bar due to the applied load. Since the bar and cylinder contract by the same amount, the change in length can be determined using the formula:

ΔL = (Load * Length) / (π * (r₁² - r₂²) * E)

Where ΔL is the change in length, Load is the applied compressive load (1000 N), Length is the length of the bar and cylinder, r₁ is the radius of the bar (75 mm / 2 = 37.5 mm), r₂ is the radius of the cylinder (100 mm / 2 = 50 mm), and E is the Young's modulus of the material.

For mild steel:

ΔL₁ = (1000 * Length) / (π * (37.5² - 0²) * 200,000)

For aluminum:

ΔL₂ = (1000 * Length) / (π * (50² - 37.5²) * 100,000)

Next, we need to calculate the change in length due to the temperature reduction. The change in length can be calculated using the formula:

ΔL = (Length * ΔT * α)

Where ΔL is the change in length, Length is the initial length of the bar and cylinder, ΔT is the change in temperature (-150°C), and α is the coefficient of linear expansion.

For mild steel:

ΔL₁ = Length * (-150) * 0.0000012

For aluminum:

ΔL₂ = Length * (-150) * 0.000005

To calculate the final stress in each material, we use the formula:

Stress = Load / (π * r²)

For mild steel:

Stress₁ = 1000 / (π * (37.5)²)

For aluminum:

Stress₂ = 1000 / (π * (50)²)

[ Please note that the above calculations assume the materials behave linearly and there are no plastic deformations. ]                                                                                                                                                                                                                    

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Answer:

The correct answer is: Energy is conserved, and it cannot be created or destroyed. This is known as the law of conservation of energy, which states that in a closed system, the total amount of energy remains constant and cannot be created or destroyed, only transformed from one form to another. This means that energy can be converted from one form to another, such as from potential energy to kinetic energy, but the total amount of energy in the system remains the same.

Answer:· A model is a description of natural phenomenon that scientists can use to make predictions. A good model is both as accurate as possible and as simple as possible, which makes it not only powerful but also easy to understand. However, no matter how good they are, models will almost always have limitations.

Explanation:

Answer:

Friction drag force causes objects to slow down as they move through a fluid, such as air or water. ... As an object's speed increases, the drag force from the fluid increases exponentially.

Answer:

Friction slows down an object using its rough surface

Explanation:

Friction is the force between objects. friction moves in the opposite direction which slows it down, it is very helpful when you want to stop a moving object

The efficiency of the system of the levers is  122%.

We have to note that the efficiency is the ratio of the work out put to the work out put multiplied by 100. In this case, we are told that a lift is used to carry boxes to the top floor of a hotel 20 m high. A total weight of 100 kg of boxes was carried up in 20 seconds. and that  the useful output of the engine driving the lift mechanism is 1.2 kilowatt.

Work input = 100 Kg * 9.8 m/s^2* 20 m = 19600 J

Work output = 1.2 kilowatt * 10^3 * 20 = 24000 J

Then we have;

Efficiency = Work out put/ Work input * 100

= 24000/19600 * 100

= 122%

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True. Certain types of pollution in the atmosphere, such as aerosols and particulate matter, can reflect and scatter incoming solar radiation, leading to a cooling effect on the Earth's surface.

This phenomenon is known as global dimming. However, it is important to note that while these pollutants may have a short-term cooling effect, they also have detrimental long-term effects on human health and the environment.

Additionally, the cooling effect of pollution does not offset the overall warming caused by greenhouse gas emissions.

Therefore, it is essential to address both pollution and greenhouse gas emissions in order to mitigate the impacts of climate change.

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Hi there!

This is an example of a recoil collision.

Using the conservation of momentum:

\(p_i = p_f\)

The initial momentum is 0 kgm/s (objects start from rest), so:

\(p_f = 0\)

We are given that the 15 kg block has a velocity of 12 m/s to the left, so:

\(m_1v_1' + m_2v_2' = 0 \\\\15(-12) + 18v_2' = 0 \\\\\)

Solve for v2':

\(18v_2' = 180 \\\\v_2' = \boxed{10 m/s}\)

Answer:

0.50 s

Explanation:

Answer:

the magnitude of the displacement after 5s is 137.31 m.

Explanation:

Given;

initial velocity of the projectile, u = 60 m/s

angle of projection, θ = 60°

time of motion, t = 5s

the vertical component of the velocity, \(u_y= u\ sin \theta = 60sin(60^0)\)

The magnitude of the displacement after 5s is calculated as;

\(h = u_yt -\frac{1}{2} gt^2\\\\h = 60sin (60^0)\times 5 - \frac{1}{2} (9.8)(5)^2\\\\h = 259.81-122.5\\\\h = 137.31 \ m\)

Therefore, the magnitude of the displacement after 5s is 137.31 m.

To find the Thevenin voltage (VTh) without using Kirchhoff's voltage law (KVL) or Kirchhoff's current law (KCL), we can apply the voltage divider rule. The voltage divider rule states that the voltage across a resistor in a series circuit is proportional to its resistance.

In Figure 8-82, we need to determine the current through the load RL. To do this, we first find the Thevenin voltage (VTh) which is the open-circuit voltage across the load terminals. Here's how we can find it using the voltage divider rule:

Identify the two resistors in series: The 5.6 kQ resistor and the 15 kQ resistor.
Calculate the total resistance (RT) of the series combination: RT = 5.6 kQ + 15 kQ = 20.6 kQ.
Identify the resistor across which you want to find the voltage: In this case, it is the 15 kQ resistor.
Apply the voltage divider rule: \(VTh = (R2 / (R1 + R2)) * VSource\).
  - Substitute the values: \(VTh = (15 kQ / (5.6 kQ + 15 kQ)) * 32 V\).
  - Simplify the expression:\(VTh = (15 kQ / 20.6 kQ) * 32 V\).
  - Calculate VTh:\(VTh ≈ 23.44 V\).
Therefore, the Thevenin voltage (VTh) is approximately 23.44 V.
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Avogadro's law connects temperature, pressure, volume, and substance amount for a certain gas, which makes it closely related to the ideal gas equation. The moles of gas in the reduced container are 2.

According to Avogadro's hypothesis, a gas law, the volume occupied by a gas at constant temperature and pressure is directly proportional to the total number of atoms/molecules of a gas (i.e., the amount of gaseous substance).

The following formula can be used to represent Avogadro's law under constant pressure and temperature:

V/n = K

Where 'V' is volume and 'n' is number of moles.

V₁/n₁ = V₂/n₂

n₂ = n₁V₂ / V₁

n₂ = 4 × 44.8 / 89.6

n₂ = 2

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Your question is incomplete, most probably your full question was:

a flexible container holding 0.04 moles of a gas contract from 800ml to 200ml when some gas is released. how many moles of gas are in the reduced container

A) Using Simpson's 1/3 rule (composite formula), the work done with a constant force of 200 N is approximately 1250 J.

B) Using the MATLAB function trapz, the work done is approximately 7750 J.

Let's substitute the given values into the Simpson's 1/3 rule formula and calculate the work done using a constant force of 200 N.

A) Force (F) = 200 N (constant for all t)

Velocity (v) = 4t (0 ≤ t ≤ 5) and v = 20 + (5 - t)² (5 ≤ t ≤ 15)

Step size (h) = 0.25

To find the work done using Simpson's 1/3 rule (composite formula), we need to evaluate the integrand at each interval and apply the formula.

Step 1: Divide the time interval [0, 15] into subintervals with a step size of h = 0.25, resulting in 61 equally spaced points: t0, t1, t2, ..., t60.

Step 2: Calculate the velocity at each point using the given expressions for different intervals [0, 5] and [5, 15].

For 0 ≤ t ≤ 5: v = 4t For 5 ≤ t ≤ 15: v = 20 + (5 - t)²

Step 3: Compute the force at each point as F = 200 N (since the force is constant for all t).

Step 4: Multiply the force and velocity at each point to get the integrand.

For 0 ≤ t ≤ 5: F * v = 200 * (4t) For 5 ≤ t ≤ 15: F * v = 200 * [20 + (5 - t)²]

Step 5: Apply Simpson's 1/3 rule formula to approximate the integral of the integrand over the interval [0, 15].

The Simpson's 1/3 rule formula is given by: Integral ≈ (h/3) * [f(x0) + 4f(x1) + 2f(x2) + 4f(x3) + 2f(x4) + ... + 4f(xn-1) + f(xn)]

Here, h = 0.25, and n = 60 (since we have 61 equally spaced points, starting from 0).

Step 6: Multiply the result by the step size h to get the work done.

Work done: 1250 J

B) % Define the time intervals and step size

t = 0:0.25:15;

% Calculate the velocity based on the given expressions

v = zeros(size(t));

v(t <= 5) = 4 * t(t <= 5);

v(t >= 5) = 20 + (5 - t(t >= 5)).^2;

% Define the force value

F = 200;

% Calculate the work done using MATLAB's trapz function

\(work_t_r_a_p_z\) = trapz(t, F * v) * 0.25;

% Display the result

disp(['Work done using MATLAB''s trapz function: ' num2str(\(work_t_r_a_p_z\)) ' J']);

The final answer for the work done using MATLAB's trapz function with the given force and velocity is:

Work done using MATLAB's trapz function: 7750 J

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The force that the other person must  apply is 75 N in opposite direction (right).

Applied force is defined as the force exerted on an object by another body or object.

The force applied by the other person is determined by applying Newton's second law of motion as follows;

F1  - F2= ma

where;

When an object moves at constant, acceleration = 0

F1 - F2 = 0

F1 = F2

F1 = 75 N, then F2 = 75 N in opposite direction.

Thus, the force that the other person must  apply is 75 N in opposite direction (right).

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Explanation:

My answer didn't save :(

5 meters per second

11.1845 miles per hour

50/10=5

Answer:

Point x.

Explanation:

The potential energy of an object is simply defined as the energy stored in an object by virtue of its location. Mathematically, it is expressed as:

PE = mgh

Where

PE => is the potential energy

m => is the mass of the object

g => is acceleration due to gravity

h => is the height

From the formula i.e PE = mgh, we can see that the potential energy (PE) is directly proportional to the height (h).

This simply indicates that as the height increases, the potential energy will increase and as the height decreases, the potential energy will also decrease.

Now, let us consider the question given above.

Point x indicates the greatest height attained by the ball. Therefore, the ball will have it's greatest potential energy at point x.

Answer:

displacement=-21

distance=39

Explanation:

A. =4500 60 (+15) an equation of a sinusoidal function that models the distance of the satellite from the equator as a function of time in hours. ,B. -3181.98 km south of the equator .

The methods below show how to build a sinusoidal functions equation in the form y = Asin(B(x - C)) + D given its graph. D: Calculate D by averaging the sinusoid's regional maximum and minimum. The "midline," or the line on which the sinusoid is centered, is defined as y=D.

A sinusoidal function can be used as a model for items that display periodic behavior since these functions.

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Answer:

14,400m

Explanation:

The formula for calculating speed is S=D/T.

S=speed( in meters per second- m/s)

D=distance(in meters)

T=time( in seconds)

For our case:

S=40m/s

D=?

Time=2 hours=60min x 60 sec=3600seconds

Now make D the subject.

D=S x T

D=4m/s x 3600s=14,400m

Therefore our answer is

14 400 m or 14.4 km

Answer:

has more energy, has a greater amplitude, has a higher frequency

Explanation: