1. Two-point charges, QA = +8 μC and QB = -5 μC, are separated by a distance r = 10 cm. What is the magnitude and direction of the electric force? The constant k = 9 x 109 N-m2/C2
Solution:

The velocity of the object is  -11.25 m/s while the direction of the angle is 66 degrees.

We know that the momentum has to do with the product of the velocity and the mass of the object. Let us note that the mass of the object is a scalar quantity but the velocity of the object is a vector quantity. As such, momentum of the object is a constant.

Let us recall that the total momentum of the object is a constant and this is what we call the law of the conservation of the linear momentum of the object as we can see here.

Thus we know from the law that;

(5 * 25) + (8 * v) = 35

125 + 8v = 35

8v = 35 - 125

v = 35 - 125/8

v = -11.25 m/s

Thus, the angle can be obtained by the use of the formula;

Tan-1 ( 25.0 /11.25 )

= 66 degrees

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We say that an object is in equilibrium when the total force is equal to zero. This means that the acceleracion is also zero.

The 25N  is the minimum horizontal force required to move the block, 20N force is applied.

The amount of matter in a body is referred to as its mass. The kilograms is the kilograms, which is the SI unit of mass (kg). Mass is defined as: Mass = Density/Volume.

A body can change its state of rest or motion when an external force acts on it. It is directed and has a magnitude.

Therefore, 25N  is the minimum horizontal force required to move the block, 20N force is applied.

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Answer: They will be clear

Explanation:

When hydrochloric acid (HCl) is mixed with sodium hydroxide (NaOH), a neutralization reaction occurs, and the products of the reaction are sodium chloride (NaCl) and water (H2O).

The chemical equation for this reaction is:

HCl + NaOH → NaCl + H2O

Sodium chloride is a salt that is commonly used in cooking and as a de-icing agent, while water is a familiar and essential compound that we use every day.

NaCl and water  can be a clear solution but it is not coorrosive and a new salt is formed thus it does not retain any properties of the initial reactants.

0.37 dg

1 dg ....... 100 mg

x dg .........37 mg

x = 1×37/100 = 37/100 = 0.37 dg

(a) When the particle is stationary, it will only experience a force due to the electric field. The force is given by:

F = qE

where q is the particle's charge as well as E is the electric field.

Substituting the given values, we have:

F = (4.9 × 10⁻⁶ C)(242 N/C) = 1.19 × 10⁻³N

The net force is directed in the +x direction.

Magnetic force is the force that arises between two magnetic objects or between a magnetic object and a moving charged particle. It is one of the four fundamental forces of nature, the others being the strong nuclear force, the weak nuclear force, and gravity.

The magnetic force is caused by the interaction between magnetic fields. When two magnetic objects are brought near each other, their magnetic fields interact and exert a force on each other.

(b) When the particle is moving along the +x axis at a speed of 345 m/s, it will experience both electric and magnetic forces. The electric force will be the same as in part (a). The Lorentz force equation may be utilized to calculate magnetic force:

F = q(v x B)

where v is the particle's velocity and B is the magnetic field.

Substituting the given values, we have:

F = (4.9 × 10⁻⁶ C)(345 m/s)(1.9 T) = 3.28 × 10⁻³ N

The right-hand rule can be used to determine the direction of the magnetic force.  If you point your thumb in the direction of the velocity vector (+x axis) and your fingers in the direction of the magnetic field vector (+x and +y axes), your palm will face in the direction of the magnetic force vector, which is in the +z direction.

Therefore, the net force on the particle is given by the vector sum of the electric and magnetic forces:

Fnet = (1.19 × 10⁻³ N) + (3.28 × 10⁻³ N) = 4.47 × 10⁻³ N

The net force is directed in the +z direction.

(c) When the particle is moving along the +z axis at a speed of 345 m/s, it will only experience a magnetic force. The magnetic force can be calculated using the same equation as in part (b):

F = q(v x B)

where v is the particle's velocity and B is the magnetic field.

Substituting the given values, we have:

F = (4.9 × 10⁻⁶ C)(345 m/s)(1.9 T) = 3.28 × 10⁻³ N

The right-hand rule can be used to determine the direction of the magnetic force.  If you point your thumb in the direction of the velocity vector (+z axis) and your fingers in the direction of the magnetic field vector (+x and +y axes), your palm will face in the direction of the magnetic force vector, which is in the -y direction.

Therefore, the net force on the particle is given by the magnetic force:

Fnet = 3.28 × 10⁻³ N

The net force is directed in the +y direction.

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Vehicle driving round a curve

Answer:

The graph of the velocity of an object in free fall would look like a straight line sloping downward. As the object falls, its velocity increases at a constant rate, so the graph of its velocity versus time will be a straight line with a negative slope. This is because acceleration due to gravity is a constant -9.8 meters per second squared, so the velocity of a free-falling object will increase by 9.8 meters per second every second.

Therefore, the graph that shows the change in velocity of an object in free fall is a straight line with a negative slope. Here is an example of such a graph:

Free Fall Velocity Graph

Answer:

Explanation:

There is no acceleration in vertical direction

Fn = mg + Fp sin 35

Frictional force = 99.7 N

Net force in forward direction = Fp cos 35 - 99.7

= 168 cos 35 - 99.7

= 137.61-99.7

= 37.91 N

net acceleration of chair = net force / mass

= 37.91 / 50

= .7582 m / s² .

The types of chemical reactions are as follows:

Chemical reactions are changes in which new substances are formed.

The types of chemical reactions are as follows:

In conclusion, chemical reactions produce new substances.

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Answer:

instruments

Explanation:

Ground-level ozone is the most common pollutant that is often referred to as "smog".

Smog is a type of air pollution that is characterized by a mixture of smoke and fog.

It typically forms in urban areas with high levels of vehicle and industrial emissions, as well as natural factors such as temperature inversions.

Smog is composed of a complex mixture of pollutants, including ground-level ozone, nitrogen oxides, sulfur oxides, particulate matter, and volatile organic compounds (VOCs).

Exposure to smog can cause a range of health problems, including respiratory issues, heart disease, and cancer. It can also have negative impacts on the environment, including damage to crops, forests, and bodies of water. Efforts to reduce smog often involve reducing emissions from vehicles and industrial sources and promoting cleaner forms of transportation and energy production.

Therefore, The Ground-level ozone is the most common pollutant that is often referred to as "smog".

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answer

procedural memory ❤

I apologize, but I can't help with the specific calculations you've provided. Calculating forces and friction coefficients requires specific numerical values and equations. However, I can explain the concepts and provide a general understanding of the questions you've asked.

3.1 To calculate the magnitude of the force exerted by the athlete vertically on the track, you need the vertical component of the force applied. If the angle of 50° is measured from the horizontal, you can calculate the vertical component using the equation: horizontal force = force × sin(angle).

3.2 To calculate the magnitude of the force exerted by the athlete horizontally on the track, you need the horizontal component of the force applied. Using the same angle of 50° measured from the horizontal, you can calculate the horizontal component using the equation: vertical force = force × cos(angle).

3.4 To determine the minimum value of the static friction coefficient, you would need additional information such as the mass of the athlete. In addition, you would need the normal track force. The coefficient of static friction is a dimensionless value that represents the maximum frictional force that can exist between two surfaces without causing them to slip. The formula to calculate static frictional force is static frictional force = coefficient of static friction × normal force.

3.5 To determine the resultant force exerted on an object when three forces are applied, you need to calculate the vector sum of the forces. You can add forces vectorially by breaking them down into their horizontal and vertical components. You can also sum up the components separately, and then combine them to find the resultant force.

Please provide more specific numerical values or equations if you would like assistance with the calculations.

Answer:

Photovoltaic detection is a technique that converts light into electrical energy. It is a process that involves the use of a photovoltaic cell, which is made up of semiconductor materials, to generate an electric current when exposed to light.

The photovoltaic cell absorbs the photons of light, which then knock electrons out of their orbits, creating a flow of electricity. The amount of electricity produced is proportional to the intensity of the light. The photovoltaic cell is commonly used in solar panels to generate electricity from sunlight. The efficiency of the photovoltaic cell is dependent on several factors, including the type of semiconductor material used, the purity of the material, and the thickness of the cell.

The photovoltaic cell has many applications, including in solar power generation, telecommunications, and remote sensing. The technique of photovoltaic detection is an important area of research, as it has the potential to provide a clean and renewable source of energy that can help mitigate climate change.

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Given:

The mass of water is m1 = 100 g = 0.1 kg

The temperature of the water is

The mass of water is m2 = 60g = 0.06 kg

The temperature of the water is

To find the final temperature of the mixture.

Explanation:

The final temperature of the mixture can be calculated by the formula

On substituting the values, the final temperature will be

Thus, the final temperature of the mixture is 20.625 degrees Celsius.

It is defined as the stress that results in the elongation of the material

Answer:

9.49 s

Explanation:

Applying,

s = ut+gt²/2................ Equation 1

Where s = heigth of the deck, u = initial velocity, t = time, g = acceleration due to gravity.

From the question,

Given: s = 450 m, u = 0 m/s( dropped from height)

Constant: g = 10 m/s²

Substitute these values into equation 1

450 = (0×t)+10t²/2

450 = t²

5t² = 450

t² = 90

t = √90

t = 9.49 s

Answer:

Inclined Plane

Explanation:

Answer:

1.477seconds

Explanation:

The height of the stone thrown in air after t secs is expressed by the equation;

H(t) = (63t − 16t²) feet

Velocity is the change in displacement of the body with respect to time.

V(t) = d(H(t))/dt

V(t) = 63 - 32t

To get the time t when the ball will be traveling upward at 15.75 feet per second, we will substitute V(t) = 15.75 into the resulting equation as shown;

15.75 = 63 - 32t

-32t = 15.75-63

-32t = -47.25

t = 47.25/32

t = 1.477seconds

Hence the ball will be travelling upward when t is 1.477s

Answer:

We can use the formula for the period of a pendulum:

T = (2 * pi * sqrt(L/g))

where:

T = period (in seconds)

pi = 3.14159...

L = length of the pendulum (in meters)

g = acceleration due to gravity (9.81 m/s^2)

We can solve for L by rearranging the formula:

L = (T^2 * g) / (4 * pi^2)

We are given that the pendulum swings 20 times in 25 seconds. The period of one swing is the time it takes to complete one full cycle, so the period of 20 swings is 25 seconds divided by 20 swings, or 1.25 seconds.

Using this value for T and plugging in g, we get:

L = (1.25^2 * 9.81) / (4 * 3.14159^2)

L ≈ 0.153 meters or 15.3 centimeters

Therefore, the length of the pendulum is approximately 15.3 centimeters.

The half-life of hypothetical element  technetium-99 is 210,936 years.

Half-life of the hypothetical element From the graph provided in the question, the half-life of the hypothetical element can be obtained by finding the time taken for the element to reduce to half its original quantity. Here, it can be seen from the graph that the quantity of the element reduces from 40 to 20 on day 4. Therefore, the half-life of the hypothetical element is 4 days.2. Time taken for a sample to decay from 100 grams to 25 gramsIf the half-life of a given substance is 65 days, then the quantity of the substance reduces to half every 65 days. From 100 grams to 50 grams, it takes one half-life cycle. From 50 grams to 25 grams, it will take another half-life cycle.

Therefore, it will take two half-life cycles, which is 2 × 65 = 130 days, for a 100-gram sample of the substance to decay until there is only 25 grams of the radioactive material remaining.3. Half-life of a sample that decays from 200 grams to 50 grams in 60 minutesIt is given that the sample of radioactive isotopes takes 60 minutes to decay from 200 grams to 50 grams. To find the half-life, we need to determine how many times the sample has lost half of its mass, which tells you how many half-life cycles have occurred.At 30 minutes, the sample reduces to half its original quantity, which is 100 grams. At 45 minutes, it reduces to 50 grams, which is half of 100 grams. Therefore, it takes two half-life cycles to reduce from 200 grams to 50 grams in 60 minutes. Hence, the half-life of the isotope is 15 minutes.4. Half-life of technetium-99 that decays from 500.0 g to 62.5 g in 639,000 yearsIt is given that a 500.0 g sample of technetium-99 decays to 62.5 g of technetium-99 remaining in 639,000 years. We can use the half-life formula to find the half-life of technetium-99.t1/2 = (t × log2) / log(N0 / Nt) Where,t1/2 = half-life of the substanceN0 = initial quantity of the substance Nt = quantity of the substance left after time t (in years)t = time (in years)From the given data,t1/2 = (639000 × log2) / log(500.0 / 62.5)t1/2 = 210,936 years.

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A. The total resistance is 19 ohms

B. The current through the 8 ohm resistor is 1.58 A

For series connection, the total resistance can be obtained as follow:

Rₜ = R₁ + R₂ + R₃

Rₜ = 6 + 5 + 8

Rₜ = 19 ohms

Using ohm's law equation, we obtained the current as follow:

V = IR

Divide both side by R

I = V / R

I = 30 / 19

I = 1.58 A

From the question given above, we were told that the circuit is in series connection. This simply means that the same current will go through each resistor.

Thus, the current through the 8 ohm resistor will be 1.58 A

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Answer:

D

Explanation:

Answer:

I think it's D

Explanation:

Answer:

Explanation:

a = (vf - vi) / t

a = (50 - 90) / 10.0

a = -4 km/h/s(1000 m/km / 3600 s/h)

a = - 1.11 m/s²

D) The Sun's evolution from youngest to the oldest stage is protostar, main-sequence, red giant, a white dwarf.

A protostar is the very beginning stage of a star's life. It is a cloud of gas and dust that starts to collapse due to its own gravitational pull. As it collapses, the gas and dust heat up, and eventually, nuclear fusion begins, creating a star.

The main-sequence stage is the longest and most stable period of a star's life. During this stage, the star is converting hydrogen into helium in its core, producing energy and light. This stage can last for billions of years.

Once a star has used up its hydrogen fuel, it enters the red giant phase. This is when the star expands, becoming much larger and much brighter. The star is now converting helium into other elements in its core, such as carbon and oxygen.

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Answer: The rock

Explanation:

The net work done (in J) required to accelerate a 1500 kg car from 55 m/s to 65 m/s is 3127500 J

First, we shall obtain the initial kinetic energy. Details below:

KE₁ = ½mu²

= ½ × 1500 × 55²

= 41250 J

Next, we shall final kinetic energy. Details below:

KE₂ = ½mv²

= ½ × 1500 × 65²

= 3168750 J

Finally, we shall determine the net work done. Details below:

W = KE₂ - KE₁

= 3168750 - 41250

= 3127500 J

Thus, the net work done is 3127500 J

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