An object traveling at constant speed v in a circle of radius R has an acceleration a = 5 m/s2. If both Rand v are doubled, what is the new acceleration?
40 m/s^2
10 m/s^2
5 m/s^2
2.5 m/s^2

Mugabe gained power by using political strategies, forming alliances, and exploiting his status as a liberation hero within ZANU-PF.

Robert Mugabe, the former president of Zimbabwe, was able to build power through a combination of political strategies and alliances. One key factor was his involvement in the liberation struggle against white minority rule in Rhodesia (now Zimbabwe).

Mugabe emerged as a prominent figure within the Zimbabwe African National Union (ZANU) party, which later merged with the Zimbabwe African People's Union (ZAPU) to form the Zimbabwe African National Union - Patriotic Front (ZANU-PF). Mugabe's role as a liberation hero and his ability to mobilize support among the majority black population of Zimbabwe gave him a strong power base.

Within ZANU-PF, Mugabe strategically positioned himself and gained influence by forming alliances and outmaneuvering rivals. He rose to become the party's leader and played a key role in negotiating the Lancaster House Agreement in 1979, which paved the way for Zimbabwe's independence in 1980. Mugabe became the country's first prime minister and later transformed the position into an executive presidency, consolidating his authority.

Mugabe maintained power through various means, including controlling key institutions such as the military, intelligence agencies, and the ruling party. He also utilized patronage networks, distributing resources and positions to loyal supporters within the party and government. Mugabe's policies, such as the controversial land reform program, further solidified his power base by appealing to nationalist sentiments and redistributing land from white farmers to black Zimbabweans.

However, Mugabe's consolidation of power was also marked by authoritarianism, human rights abuses, and a declining economy. His grip on power faced challenges over the years, including opposition movements, internal party factions, and economic crises. Ultimately, his rule came to an end in 2017 when he was ousted from power following a military intervention.

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Even though you did not take any measurements, (2m/s2, 3N) is another data point that would be fair to provide.

To determine if there is another reasonable data point that can be added, we can plot the force and acceleration data to see if there is a clear relationship between the two variables.

From the plot, we can find that there is a clear linear relationship between the force and acceleration data. We can also calculate the slope of the line using the formula:

slope = Δa / ΔF

where Δa is the change in acceleration and ΔF is the change in force. From the given data, we can use the first and last data points to calculate the slope:

slope = (1.8 m/\(s^2\) - 0.5 m/\(s^2\)) / (1 N - 0.25 N) = 3.6 m/\(s^2\)/N

Now, we can use the slope to predict the acceleration for another force value. For example, we can predict the acceleration for a force of 2 N:

a = slope * F = 3.6 m/\(s^2\)/N * 2 N = 7.2 m/\(s^2\)

Data point to add to the plot is (2 N, 7.2 m/\(s^2\))

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Answer:

chloroplast

Explanation:

Endosymbiosis theory explains the origin of chloroplast and mitochondria in the eukaryotic organisms.

When the pro-eukaryotes engulfed the blue-green algae or photosynthetic bacteria, these bacteria formed the symbiotic relationship with the pro-eukaryotes. These photosynthetic bacteria transformed into the chloroplast organelles of the eukaryotes which can capture the sunlight and use it in the synthesis of glucose molecules. These eukaryotic cells later formed the plant kingdom.

Answer:

by finding melting and boiling points

Explanation:

Answer:

Simple chemical tests can be used to identify the presence of various elements or classes of molecules (Tollen's test). ... Electron spin resonance (ESR): Also referred to as electron paramagnetic resonance (EPR), this method uses the spins of unpaired electrons in molecules to determine structure

The magnitude of the cyclist's acceleration is 20.83 m/s^2. The magnitude of the net force acting on the cyclist is 998.64 N.

A) Using the first equation, we can find the magnitude of the cyclist's acceleration:

a = v^2 / r = (25 m/s)^2 / 30 m = 20.83 m/s^2

B) Using the second equation, we can find the magnitude of the net force acting on the cyclist:

F_net = m * a = 48 kg * 20.83 m/s^2 = 998.64 N

Net force refers to the overall force acting on an object, taking into account the influence of all external forces. It is defined as the vector sum of all forces acting on an object. The net force determines the acceleration of the object, in accordance with Newton's second law of motion.

If the net force acting on an object is zero, the object will remain in a state of rest or move with constant velocity. If the net force is not zero, the object will accelerate in the direction of the net force. The acceleration of the object is directly proportional to the net force and inversely proportional to its mass.

The net force acting on an object can be calculated by adding up all the individual forces acting on it, taking into account their direction and magnitude. This allows us to understand and predict the motion of objects in various situations, from the movement of planets in space to the motion of a ball on a soccer field.

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The force constant of the spring is 200.696 N/m & The height the object achieves when the spring releases its energy is 2.5087 m

The spring constant is the force needed to stretch or compress a spring, divided by the compressive or expansive distance. It's used to determine stability or instability in the spring, and therefore the system it's intended for. we know,

F = kx

Therefore,

k = F/x

We also know that the force being exerted on the spring is equal to the mass of the object. Hence, F = mg = 5.13 * 9.8 N = 50.174 N and we know compression due to the mass is 0.25m. Therefore,

K = 50.174/0.25 N/m

K = 200.696 N/m

Therefore, The Spring Constant is 200.696 N/m

On release, the spring potential energy gets converted to kinetic energy. Hence, on release, the height attained by the object is given by:

h = \(1/2 kx^{2}\)

We know that k=200.696 N/m and x=0.25 m. Therefore the height is:

h = \(1/2 (200.696 N/m)(0.25 m)^{2}\)

h = 2.5087 m

Therefore, the force constant of the spring is 200.696 N/m & The height the object achieves when the spring releases its energy is 2.5087 m

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Given the data from the question, the heat gained by the water, the rate of energy transfer and the initial temperature of the iron are:

A. The energy gained by the water is 37656 J

B. The average rate of energy transfer from

the iron sphere to the water is 125.52 J/s (Watts)

C. The initial temperature of the iron

sphere is 65.4° C

Q = MCΔT

Q = 3000 × 4.184 × 3

Q = 37656 J

Power = energy / time

Power = 37656 / 300

Power = 125.52 J/s (Watts)

Q = CT

37656 = 576 × T

Divide both side by 576

T = 37656 / 576

T = 65.4° C

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The the distance between the asteroid and the earth's surface measured in the earth's radius is 1.82 R

What are the Asteroids:

here,

An asteroid experiences acceleration on earth's orbit which is 8.0 times smaller than it on the earth surface.

Free fall acceleration of Asteroid:

so,

g' = GM /(R + x)^2 ------1

g = GM / R^2

g' = 1/8 ( GM / R^2 ) -------1

where G is gravitational constant

M is mass of earth

R is earth's radius

comparing both equations 1 and 2

GM /(R + x)^2 =  1/8 ( GM / R^2 )

8 R^2 = (R + x)^2

2√2 * R = R + x

x = R (2√2 - 1)

x = 1.82*R

hence, The the distance between the asteroid and the earth's surface measured in the earth's radius is 1.82*R

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The atmosphere on Mars has a low air pressure and is mostly composed of carbon dioxide. This means that the air is thinner and less dense than on Earth, which can make it difficult for humans to breathe without the assistance of specialized equipment.

Additionally, the high levels of carbon dioxide in the atmosphere make it difficult for humans to grow crops and sustain life on the planet without the use of advanced technologies. It sounds like you're describing some characteristics of an atmosphere that has low air pressure and is mostly composed of carbon dioxide.

Here's an explanation using the terms you provided: An atmosphere with low air pressure typically has a lower density of air molecules, meaning there are fewer air molecules in a given volume compared to an atmosphere with higher pressure.

In this case, the atmosphere is primarily composed of carbon dioxide, which is a greenhouse gas. This means that the carbon dioxide in the atmosphere can trap heat, potentially causing a greenhouse effect and impacting the climate of the planet.

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Answer:

making it easier to perform a cost-benefit analysis of a decision.reducing the marginal benefits for a particular choice.

Explanation:

Answer: Making certain choices more beneficial than others.

Explanation: Just took test - Apx

no question please so what's the problem

Answer: the same number of decimal places as the least precise value.

Explanation:

Significant figures : The figures in a number which express the value -the magnitude of a quantity to a specific degree of accuracy is known as significant digits.

The rule apply for the addition and subtraction is :

The least precise number present after the decimal point determines the number of significant figures in the answer.

For example: 12.1 + 3.245 = 15.3  as the least precise number 12.1 has one decimal place.

Thus William should write the sum of these two numbers by using the same number of decimal places as the least precise value.

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The fraction of nitrogen molecules in the air that are moving at less than 300 m/s is likely to be very high, since this is well below the average speed of nitrogen molecules at room temperature. However, the exact fraction will depend on the specific temperature and pressure conditions.

At room temperature, the majority of nitrogen molecules in the air move at speeds less than 300 m/s. The average speed of nitrogen molecules in the air is around 500 m/s, but the speed distribution follows a bell-shaped curve, with a small fraction of molecules moving much faster and a small fraction moving much slower than the average.
The distribution of molecular speeds is determined by the Maxwell-Boltzmann distribution, which describes how the speeds of gas molecules are related to temperature. The distribution shows that at any given temperature, only a small fraction of molecules have speeds greater than a certain value.
For example, at room temperature (around 25°C or 298 K), only about 2.5% of nitrogen molecules in the air have speeds greater than 500 m/s, while the vast majority (over 97%) have speeds less than this value. Even fewer molecules (less than 0.1%) have speeds greater than 1000 m/s, which is much faster than the speed of sound in air.
Overall, the fraction of nitrogen molecules in the air that are moving at less than 300 m/s is likely to be very high, since this is well below the average speed of nitrogen molecules at room temperature. However, the exact fraction will depend on the specific temperature and pressure conditions.

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Answer:

Given,

speed(v)= 339m/s

frequency(f)=640Hz

Now,

we know,

speed(v)= frequency × wavelength

or, 339=640 ×wavelength

or, wavelength= 339/640

or, wavelength =0.5m.

Therefore, option (A ) is correct...

The choice on oil paint that is not used to describe its luminosity is b) stained.

On oil paint, these are used to describe its luminosity:

Stained glass is not used to describe the luminosity of oil paint. Stained glass is made by painting or firing powdered glass onto a surface. Oil paint, on the other hand, is made by mixing pigment with a drying oil. The drying oil allows the pigment to be applied in layers and to build up to create a rich, luminous color.

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The telescope needs to have a distance of 102.50 cm between the objective and eyepiece lenses to produce a final image that is very far from the observer, where vision is most relaxed.

The angular magnification of a telescope is given by the ratio of the focal lengths of the objective and eyepiece lenses. In this case, the focal length of the objective is 100 cm and the focal length of the eyepiece is 2.50 cm, so the angular magnification is:

Magnification = (focal length of objective) / (focal length of eyepiece)
Magnification = 100 cm / 2.50 cm
Magnification = 40

To produce a final image that is very far from the observer, the distance between the objective and eyepiece lenses needs to be equal to the sum of their focal lengths. This is because the telescope acts as a simple magnifying glass, where the final image is formed at infinity. Therefore, the distance between the objective and eyepiece lenses is:

Distance = (focal length of objective) + (focal length of eyepiece)
Distance = 100 cm + 2.50 cm
Distance = 102.50 cm

So, the telescope needs to have a distance of 102.50 cm between the objective and eyepiece lenses to produce a final image that is very far from the observer, where vision is most relaxed.

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Answer:

5

Explanation:

the charge 2 should be approximately -0.84 μC to cancel out the y-component of the electric field at point P.

The electric field at point P(0,4cm,0) due to charge 1 is given by:

E1 = kQ1 / r1^2

where k is the Coulomb constant, Q1 is the charge of the first particle, and r1 is the distance between the first particle and point P.

Similarly, the electric field at point P due to charge 2 is given by:

E2 = kQ2 / r2^2

where Q2 is the charge of the second particle, and r2 is the distance between the second particle and point P.

The total electric field at point P is the vector sum of E1 and E2:

E = E1 + E2

The y component of electric field can be calculated as:

The y-component of E1 can be calculated as:

Ey1 = E1 * sinθ1

where θ1 is the angle between the line connecting charge 1 to point P and the y-axis. Since the x-coordinate of charge 1 is 2 cm and the z-coordinate is 0, we have:

tanθ1 = y / x = 4 cm / 2 cm = 2

θ1 ≈ 63.4°

Therefore,

sinθ1 ≈ 0.89

Ey1 = E1 * sinθ1 = (kQ1 / r1^2) * sinθ1

Next, we calculate the y-component of E2. Since the y-coordinate of charge 2 is 0 and the x-coordinate is also 0, the angle between the line connecting charge 2 to point P and the y-axis is 90°. Therefore,

Ey2 = E2 * sinθ2 = (kQ2 / r2^2) * sin90° = (kQ2 / r2^2)

Now, we can write the expression for the total electric field at point P:

E = (kQ1 / r1^2) * sinθ1 + (kQ2 / r2^2)

For the total electric field to have no y-component, we need:

Ey = Ey1 + Ey2 = 0

Ey1 = -Ey2

(kQ1 / r1^2) * sinθ1 = -(kQ2 / r2^2)

Now we can solve for Q2:

Q2 = -(Q1 * r2^2 * sinθ1) / (r1^2)

We can plug in the given values to obtain:

Q2 = -(5 μC * (0.04 m)^2 * sin(63.4°)) / ((0.0226 m)^2) ≈ -0.84 μC

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When the radius is multiplied by x, acceleration changes by a factor of 1/x.

Acceleration is a measure of how quickly the velocity of an object changes over time. It is defined as the rate of change of velocity, and is usually expressed in units of meters per second squared (m/s^2).

The acceleration of an object moving in a circular path depends on its speed and the radius of the circle. Specifically, the acceleration of the object is given by the formula a = v^2/r, where v is the speed of the object and r is the radius of the circle.

If we multiply the radius by a factor of x, the acceleration of the object will change. To see how this happens, let's rewrite the formula for acceleration in terms of x. We have:

a = v^2/(rx)

Since v is constant, the acceleration is inversely proportional to the radius. This means that if we increase the radius by a factor of x, the acceleration will decrease by a factor of x^(-1), or 1/x. Similarly, if we decrease the radius by a factor of x, the acceleration will increase by a factor of x.

For example, let's say we have an object moving in a circular path with a radius of 2 meters and a speed of 10 m/s. The acceleration of the object is:

a = (10 m/s)^2 / 2 m = 50 m/s^2

If we multiply the radius by a factor of 3, the new radius is 6 meters, and the acceleration becomes:

a = (10 m/s)^2 / 6 m = 16.67 m/s^2

This is approximately one-third of the original acceleration. Similarly, if we divide the radius by a factor of 2, the new radius is 1 meter, and the acceleration becomes:

a = (10 m/s)^2 / 1 m = 100 m/s^2

This is twice the original acceleration.

In summary, the acceleration of an object moving in a circular path is inversely proportional to the radius of the circle. If we multiply the radius by a factor of x, the acceleration will change by a factor of 1/x.

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The correct answe is X-rays

The infrared waves have a frequency range of 10¹

Answer:

ocean currents

Explanation:

Answer:

ģgggyýyyyyfsedff namaste namaste namaste namaste namaste namaste namaste namaste namaste namaste namaste namaste namaste

Answer:

true

Explanation:

Answer:

Explanation:

The law of conservation of mass states that the mass of the elements at the beginning of the reaction(reactants) will equal the mass at the end of the reaction (product) .

In the chemical equation above,the total mass of the reactants is 80g(16+64) and the total mass of the products is also 80g(44+36).therefore the mass remained constant and that's how the equation represents the law of conservation of mass

Answer:

The correct answer is C.) C

Explanation:

I just did the test on edge and got it right

A car sits on a tall orange box with a shorter orange box in front if it. A short line from the car leads to line, which curves down to the shorter box, and line. Therefore, the correct option is option C.

Many of us do not pause to contemplate the importance of play in the lives of children, whether they are our own or the children of friends and relatives. We just take it for granted that kids spend their free time driving toy trucks about or pretending to be dragons (or both), and although it's amusing (certainly for them and occasionally for us), we don't give it much thought beyond that.

It's a great time to start playing with cars, dump trucks, and other vehicles. Not that they'll need much convincing: boys, in particular, appear to be captivated to anything that includes wheels long before their first birthday. which curves down to the shorter box, and line.

Therefore, the correct option is option C.

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The velocity of object 2 can be compared to object 1 by calculating the difference in their velocities.

The direction of their velocities can be determined by looking at the direction of their individual velocities relative to a fixed point. Since the velocities of both objects are in the same direction, you can say that both objects are travelling in the same direction relative to one another.

Speed is a measurement of how quickly an object changes its position. It is measured as the distance an object travels divided by the amount of time it takes to travel that distance.

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The time period of the wave is 0.5 seconds.

To find the answer, we have to know more about the time period.

                       \(T=\frac{t}{N} =\frac{0.5}{1}\)

where; t is the time taken to complete one oscillation(from A to H) and N is the number of patterns completed.

Thus, we can conclude that, The time period of the wave is 0.5 seconds.

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