Compute the size of the charge necessary for two spheres separated by 1m to be attached with the force of 1N. How many electrons is this charge?

The distance between the two objects is reduced in half, that will be the changed force of attraction between them is option (E) 2.5 newtons.

According to Newton's law of universal gravitation, the force of attraction between two objects is inversely proportional to the square of the distance between them.

If the distance between Object A and Object B is reduced to half, the force of attraction will increase by a factor of 2² = 4. This means that the new force of attraction will be one-fourth of the original force.

Given that the original force of attraction is 5 newtons, the changed force of attraction between Object A and Object B, when the distance is reduced in half, will be 5 newtons / 4 = 1.25 newtons, which can be rounded to 2.5 newtons.The correct answer is option e.

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Answer:

a

Explanation:

Two forces f1=(8i+3j)N and f2=(4i+6j) are acting on 5kg object then  the magnitude of the resultant force is 15 N and the direction of the resultant force is approximately 36.87 degrees from the positive x-axis.

The acceleration of the object in the x-component (\(a_x\)) is 2.4  \(m/s^{2}\), and the acceleration in the y-component (\(a_y\)) is 1.8  \(m/s^{2}\).

The magnitude of the acceleration of the object is 3  \(m/s^{2}\).

To find the magnitude and direction of the resultant force, we need to add the two given forces together.

Given:

f1 = (8i + 3j) N

f2 = (4i + 6j) N

To find the resultant force (\(F_res\)), we simply add the corresponding components:

\(F_res\) = f1 + f2

= (8i + 3j) + (4i + 6j)

= (8 + 4)i + (3 + 6)j

= 12i + 9j

The magnitude of the resultant force (\(|F_res|\)) can be found using the Pythagorean theorem:

\(|F_res|\)= \(\sqrt{(12^2) + (9^2)}\)

= \(\sqrt{144 + 81}\)

= \(\sqrt{225}\)

= 15 N

So, the magnitude of the resultant force is 15 N.

To find the direction of the resultant force, we can use trigonometry. The direction can be represented by the angle θ between the positive x-axis and the resultant force vector. We can calculate θ using the inverse tangent function:

θ = arctan(9/12)

= arctan(3/4)

≈ 36.87 degrees

Therefore, the direction of the resultant force is approximately 36.87 degrees from the positive x-axis.

Now let's calculate the acceleration of the object in the x and y components. We know that force (F) is related to acceleration (a) through Newton's second law:

F = ma

For the x-component:

\(F_x\)= 12 N

m = 5 kg

Using  \(F_x\)= \(ma_x\), we can solve for \(a_x\):

12 N = 5 kg * \(a_x\)

\(a_x\)= 12 N / 5 kg

\(a_x\) = 2.4 \(m/s^{2}\)

For the y-component:

\(F_y\) = 9 N

m = 5 kg

Using \(F_y\) = \(ma_y\), we can solve for \(a_y\):

9 N = 5 kg * \(a_y\)

\(a_y\) = 9 N / 5 kg

\(a_y\)= 1.8  \(m/s^{2}\)

So, the acceleration of the object in the x-component (\(a_x\)) is 2.4  \(m/s^{2}\), and the acceleration in the y-component (\(a_y\)) is 1.8  \(m/s^{2}\).

To find the magnitude of the acceleration (|a|), we can use the Pythagorean theorem:

|a| = \(\sqrt{(a_x^2) + (a_y^2)}\)

= \(\sqrt{(2.4^2) + (1.8^2}\)

= \(\sqrt{5.76 + 3.24}\)

= \(\sqrt{9}\)

= 3  \(m/s^{2}\)

Therefore, the magnitude of the acceleration of the object is 3  \(m/s^{2}\)

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Answer:

I know one answer is an observer on earth sees a lunar eclipse

Answer:An observer on the Moon sees a solar eclipse. and An observer on Earth sees a lunar eclipse.

Explanation:from the moon the sun is completly if not just mostly invisible(solar eclipse) and from earth the moon would be in lunar eclipse from the earth blocking the sun.

The magnetic dipole moment of the current loop is  0.025 Am².

The magnetic torque on the loop is 2.5 x 10⁻⁴  Nm.

The magnetic dipole moment of an object, is the measure of the object's tendency to align with a magnetic field.

Mathematically, magnetic dipole moment is given as;

μ = NIA

where;

μ = (1) x (25 A) x (0.001 m²)

μ = 0.025 Am²

The magnetic torque on the loop is calculated as follows;

τ = μB

where;

B = √(0.002² + 0.006² + 0.008²)

B = 0.01 T

τ = μB

τ =  0.025 Am² x 0.01 T

τ = 2.5 x 10⁻⁴  Nm

Thus, the magnetic dipole moment of the current loop is determined from the current and area of the loop while the magnetic torque on the loop is determined from the magnetic dipole moment.

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Answer:

2.57 seconds  (rounded to 2.6 Seconds)

Step-by-step explanation:

Great question, it is always good to ask away and get rid of any doubts that you may be having.

Before we can solve this question we need to create a formula that calculates the final speed. The formula will be the following,

Where:

Vf is the final Velocity

Vi is the initial velocity

A is the acceleration

t is the time in seconds

Now that we have the formula we can plug in the values given to us in the question and solve for the amount of time (t).

Finally, we can see that it would take the cyclist 2.57 seconds (approximately) to reach a speed of 18 m/s

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

Required the moment of inertia of the merry go round.

a. I = 12 MR2 is the formula for the merry-go-moment round's of inertia.

I = ½ * 231 * (1.3 * 1.3)

I = 195.195 kgm2

b. The boy's angular speed is specified as = v/R = 2.5/1.3 = 1.92 rad/s.

c. I' = I + mR2 is the formula for the merry-go-moment round's of inertia following the boy's jump on it.

I’ = 195.195 + 48 * (1.3 * 1.3)

I’ = 276.315 kg/m2

The conservation of angular momentum principle determines the merry-go-angular round's speed. As a result, I (0) + m R = 'I' and = (48 * 1.92* 1.3) / 276.315 = 0.433 rad/s

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Explanation:

Given:

Diameter = 200 m

Radius, r = 200/2 = 100 m

Time taken, t = 30 seconds

Formula to be used:

Distance traveled, = circumference of circle = 2πr

Answer:

Putting all the values, we get

Distance traveled = 2πr

So, the distance traveled by Raju is 628.57 m.

Now, magnitude of the displacement,

At the end of 30 seconds, Raju will come to starting position or initial position, so displacement is zero.

For the following are four electrical components:

a. For components A and B, both of which obey Ohm's law, the current-voltage characteristics would be a straight line passing through the origin. The slope of the line for component B would be steeper than that of component A, indicating higher resistance.

b. The shape of the characteristic for component C, the filament lamp, can be explained by its construction. A filament lamp consists of a filament made of a resistive material, typically tungsten, which heats up and emits light when an electric current passes through it.

c. The component chosen for D, which does not obey Ohm's law, could be a diode. A diode is a two-terminal electronic component that allows the current to flow in only one direction.

For the following are four electrical components:

a. Sketches of current-voltage characteristics:

For components A and B, both of which obey Ohm's law, the current-voltage characteristics would be a straight line passing through the origin. The slope of the line for component B would be steeper than that of component A, indicating higher resistance.

  Current (I)

     ^

     |          B

     |         /

     |        /

     |       /

     |      /

     |     /

     |    /

     |   /

     |  /

     | /

     |/

     +------------------> Voltage (V)

     Current (I)

     ^

     |          A

     |         /

     |        /

     |       /

     |      /

     |     /

     |    /

     |   /

     |  /

     | /

     |/

     +------------------> Voltage (V)

For component C, a filament lamp, the current-voltage characteristic would be a curve that is not linear. It would exhibit a non-linear increase in current with increasing voltage. At lower voltages, the lamp would have low resistance, but as the voltage increases, the resistance of the filament also increases due to the phenomenon of thermal self-regulation. This leads to a slower increase in current at higher voltages.

For component D, a component that does not obey Ohm's law, the current-voltage characteristic could be any non-linear curve depending on the specific component chosen. Examples of components that do not obey Ohm's law include diodes and transistors.

b. The shape of the characteristic for component C, the filament lamp, can be explained by its construction. A filament lamp consists of a filament made of a resistive material, typically tungsten, which heats up and emits light when an electric current passes through it. As the voltage across the filament increases, the temperature of the filament increases as well, causing its resistance to increase. This increase in resistance results in a slower increase in current with increasing voltage, leading to the characteristic non-linear curve observed.

c. The component chosen for D, which does not obey Ohm's law, could be a diode. A diode is a two-terminal electronic component that allows the current to flow in only one direction. It exhibits a non-linear current-voltage characteristic where it conducts current only when the voltage is above a certain threshold, known as the forward voltage. Below this threshold, the diode has a high resistance and blocks current flow in the reverse direction. The characteristic curve of a diode would show negligible current flow until the forward voltage is reached, after which it exhibits a rapid increase in current with a relatively constant voltage.

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Answer:

be patent beacause sabar ka fal metha hota h

everyone knos it

We will have the following:

First, we remember that by the conservation of energy the following is true:

Now, this in terms of movement with respect to the angle given is:

So:

From this and the information provided we can see that:

And from the inertia of a rod we have that:

Now, we plug in this information and solve for the angular velocity:

So, the velocity of the tip of the rod as it passes the horizontal position is approximately 5 radians/s.

Answer:

Explanation:

We shall apply Brewster's law to solve the problem . Let i be the angle of reflection required. According to this law ,

tan i = μ where i is angle of incidence , μ is refractive index of the medium .

Here i = ? , μ = 1.31

tani = 1.31

i = 53° approx .

At the angle of 53° incidence , the reflected ray will be completely polarised .

Answer:

Explanation:

You can calculate the total electric charge that passes through the conductor as \(q=It=(180\times 10^{-3})(5\times 60)= 54 C\). It means that the number of electron that passes through the conductor is:

\(n=\frac{q}{e}=\frac{54}{1.6\times 10^{-19}}=33.75\times 10^{19}\)

Light travels faster in air than in glass because air is an optically rarer medium.

The term speed of light refers to the speed with which light travels through diverse materials. We know that light travels faster in air than in glass owing the the difference in the nature and composition of the two materials.

Hence, the explanation of the student concerning the differences in angles does not account for the differences in the speed of light in materials. Light travels faster in air than in glass because air is an optically rarer medium.

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The block of mass m at point l is initially moving with velocity vı and collides with the block of mass n at point B.

Velocity is a vector quantity that measures the rate of change of an object's position. It is the speed of an object in a given direction. Velocity is expressed in units of length per unit time, such as miles per hour or kilometers per hour. Velocity can be determined by dividing the distance traveled by the time it took to travel that distance.

The collision is elastic, meaning that the total kinetic energy is conserved. The force of the spring between points B and C opposes the motion of the blocks and causes them to slow down as they move along the path l-C. The frictional force acts in the opposite direction of the motion and causes the blocks to slow down even more. Finally, when the blocks reach the end of the path l-C, the force of the spring is equal to the frictional force, and the blocks stop. The force constant of the spring is k, which is the amount of force required to stretch the spring a certain distance.

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In the study of personality, the Five-factor model includes different traits that underlie one’s basic tendencies.

The Five-factor model is a scientific theory that states traits of the personality of an individual are due to its biology and therefore they respond to adaptations, which are central in the biology field.

In conclusion, in the study of personality, the Five-factor model includes different traits that underlie one’s basic tendencies.

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Answer:

I = Δq / t

Explanation:

The quantity of electricity i.e charge is related to current and time according to the equation equation:

Q = It

Δq = It

Where:

Q => is the quantity of electricity i.e charge

I => is the current.

t => is the time.

Thus, we can rearrange the above expression to make 'I' the subject. This is illustrated below:

Δq = It

Divide both side by t

I = Δq / t

There are certainly significant challenges facing the US political system, and there is a need for reforms that can improve the functioning of government and promote public welfare. However, there is also an ongoing debate about the nature of these challenges and the best path forward to address them.

Critics of the US political system argue that several institutional failures have hindered the government's ability to address major public policy challenges. For example, some say that the US Congress has become increasingly dysfunctional. In contrast, others point to the role of money in politics, with the influence of wealthy donors and special interest groups limiting the ability of elected officials to act in the public interest.

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Answer:

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Answer:

Its resultant velocity will be 320 km/h.

Explanation:

The tail wind is called the wind that brings greater speed to an airplane, because it has the same direction as the airplane and, therefore, contributes a positive force to the force that the airplane's engines print on it.

Thus, a tailwind adds its speed to the speed of the plane, developing a resulting speed higher than that marked on the air transport speedometer.

In the case, given that the speed of the plane is 240 km / h and the tail wind is 80 km / h, the resulting speed will be 320 km / h.

Explanation:

The distance is the length of the path, or 400 m.

The displacement is the difference between the final position and the initial position.  Since the track is a circle and the end back where they started, the displacement is 0 m.

If a person runs around a 400 m track,then the distance covered by the person would be 400 meters, while the displacement covered by the person would be zero meters.

An object's position changes if it moves in relation to a reference frame, such as when a passenger moves to the back of an airplane or a professor moves to the right in relation to a whiteboard.

Displacement describes this shift in location.

As given in the problem If a person runs around a 400 m track, then we have to find the distance and the displacement covered by him,

The distance is 400 meters, which is how long the path is.

The distance between the end location and the starting position is known as displacement. The displacement is 0 m since the track is round and ends where it began.

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Answer:

greater than.

Explanation:

Answer:

1. S = d/t S = speed D = distance traveled T= time elapsed

Explanation:

i can answer more in a minute sorry!!

The uncertainty of the heavy object if the scale remains constant is 0.24 lbs.

The percent uncertainty in measuring the light weight object is calculated as follows;

\(= \frac{0.034}{11} \times 100\%\\\\= 0.309\%\)

The uncertainty of the heavy object if the scale remains constant is calculated as follows;

\(= \frac{0.309}{100} \times 78.0 \ lbs\\\\= 0.24 \ lbs\)

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The seven risk factors for heart attack are Age, Tobacco usage, high blood pressure, high cholesterol level, obesity, diabetes and metabolic syndrome.

Some other risk factors for heart attack are:

To prevent heart attack, one must,

Therefore, the seven risk factors for heart attack are Age, Tobacco usage, high blood pressure, high cholesterol level, obesity, diabetes and metabolic syndrome.

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The government can encourage the production of goods that create positive externalities by implementing policies and mechanisms such as subsidies, tax incentives, and regulations.

Positive externalities occur when the production or consumption of a good or service benefits society beyond the direct parties involved. These benefits can include improved public health, environmental sustainability, or increased social welfare. To encourage the production of goods with positive externalities, the government can take the following steps:

Subsidies: The government can provide financial support to producers of goods with positive externalities. Subsidies can offset production costs, making it more attractive for producers to supply these goods. By reducing the costs of production, subsidies can encourage higher output and more widespread availability of goods that benefit society.

Tax incentives: The government can offer tax incentives or tax breaks to businesses that produce goods with positive externalities. By reducing the tax burden on producers, it becomes economically advantageous for businesses to engage in activities that generate positive externalities. Tax incentives can stimulate investment, innovation, and production in areas that have positive spillover effects.

Regulations: The government can implement regulations and standards that require or promote the production of goods with positive externalities. For example, environmental regulations can encourage industries to adopt cleaner technologies and reduce pollution. By setting standards and enforcing regulations, the government can steer production towards goods that have positive impacts on society.

Public-Private Partnerships: The government can collaborate with private entities to promote the production of goods with positive externalities. Through partnerships, the government can provide resources, expertise, and incentives to businesses that are willing to produce goods that generate social benefits. This collaboration can help overcome barriers and create a conducive environment for the production of socially beneficial goods.

By employing these measures, the government can provide the necessary incentives and support for the production of goods that create positive externalities. These actions align the private interests of producers with the broader goals of societal welfare, fostering a more sustainable and socially responsible economy.

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The distance travelled by the car after the brake was applied is 125 m.

The distance travelled by the car is calculated by applying the following kinematic equation as shown below.

Mathematically, the distance travelled by the car at the given average speed is calculated as;

s = [ ( v + u ) / 2 ] t

where;

The distance travelled by the car is calculated as;

s = [ ( 0 + 25 m/s ) / 2 ] ( 10 s )

s = 125 m

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Answer:

\(F = -1.107*10^{-8} N\\|F| = 1.107*10^{-8} N\)

Explanation:

\(q_1 = 4.5 * 10^{-9} C\)

\(q_2 = -2.8 * 10^{-9} C\)

The distance separating the two charges, r = 3.2 m

According to Coulomb's law of electrostatic attraction, the electrostatic force between the two charges can be given by the formula:

\(F = \frac{kq_{1} q_{2} }{r^2}\)

Where \(k = 9.0 * 10^9 Nm^2/C^2\)

\(F = \frac{9*10^9 * 4.5*10^{-9} * (-2.8*10^{-9}}{3.2^2} \\F = \frac{-113.4*10^{-9}}{10.24}\\F = -11.07 *10^{-9}\\F = -1.107*10^{-8}N\)

Answer:

F = 1.1074 × \(10^{-8}\) N

Explanation:

An electrostatic force is either a force or attraction or repulsion between two charges. It can be determined by:

F = \(\frac{kq_{1}q_{2} }{r^{2} }\)

where: F is the force, k is a constant, \(q_{1}\) is the first charge, \(q_{2}\) is the second charge and r the distance between the charges.

Given that: k = 9 × \(10^{9}\) N\(m^{2}\)\(C^{-2}\), \(q_{1}\) = 4.5 × \(10^{-9}\)C, \(q_{2}\) = -2.8 × \(10^{-9}\)C and r = 3.2 m.

Then,

F = \(\frac{9*10^{9}*4.5*10^{-9}*2.8*10^{-9} }{3.2^{2} }\)

 = \(\frac{1.134*10^{-7} }{10.24}\)

 = 1.1074 × \(10^{-8}\)

The electrostatic force exerted is 1.1074 × \(10^{-8}\) N, and it is a force of attraction.

Answer:

\(force = mass \times acceleration \\ 1200 = 400 \times a \\ a = \frac{1200}{400} \\ a = 3 \: {ms}^{ - 2} \)