Two planets A and B, where B has twice the mass of A, orbit the Sun in circular orbits. The radius of the circular orbit of planet B is two times the radius of the circular orbit of planet A. What Is the ratio of the orbital period of planet B to that of planet A? T_B/T_A = 2 T_B/T_A = Squareroot 1/8 T_B/T_A = Squareroot 2 T_B/T_A = 1 T_B/T_A = 1/2 T_B/T_A = Squareroot 8 T_B/T_A = 1/8 T_B/T_A = 1/4

Taking into account the Newton's second law, acceleration depends on position and net force (option D).

Acceleration in a body occurs when a force acts on a body. There are two factors that influence the acceleration of an object: the net force acting on it and the mass of the body.

Newton's second law states that this force will change the speed of an object because the speed and / or direction will change. These changes in velocity are called acceleration.

So, Newton's second law defines the relationship between force and acceleration mathematically. This law says that the acceleration of an object is directly proportional to the sum of all the forces acting on it and inversely proportional to the mass of the object.

Mathematically, Newton's second law is expressed as:

F= m×a

where:

In summary, the acceleration of an object depends directly upon the net force acting upon the object, and inversely upon the mass of the object. (option D)

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The magnitude of the force exerted on the 0.02 C point charge in a 400 N/C electric field is 8 N. It is important to note that the force is a vector quantity, meaning it has both magnitude and direction. In this case, the direction of the force would depend on the polarity of the charge and the direction of the electric field.

The magnitude of the force exerted on a point charge in an electric field can be determined using the formula:

F = q * E

Where: F is the force exerted on the charge, q is the magnitude of the charge, and E is the magnitude of the electric field.

In this case, the magnitude of the electric field is given as 400 N/C, and the magnitude of the point charge is 0.02 C.

Substituting these values into the formula, we get:

F = (0.02 C) * (400 N/C)

Calculating this, we find:

F = 8 N

Therefore, the magnitude of the force exerted on the 0.02 C point charge in a 400 N/C electric field is 8 N. It is important to note that the force is a vector quantity, meaning it has both magnitude and direction. In this case, the direction of the force would depend on the polarity of the charge and the direction of the electric field.

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a. The 95% confidence interval for the population proportion is approximately 0.249 to 0.917.

b. It is also plausible that the success rate is higher than half the population.

a. To construct a 95% confidence interval for the population proportion, we can use the formula:

CI = p' ± Z * √((p'(1-p'))/n),

Where p' is the sample proportion (success rate), Z is the Z-score corresponding to the desired confidence level (95% in this case), and n is the sample size.

Given that the drug treatment was successful for 7 out of 12 women, the sample proportion is p' = 7/12 = 0.583.

To determine the Z-score for a 95% confidence level, we need to look up the critical value from the standard normal distribution. For a two-tailed test, the Z-score for a 95% confidence level is approximately 1.96.

Substituting the values into the formula, we have:

CI = 0.583 ± 1.96 * √((0.583(1-0.583))/12).

Calculating the expression within the square root:

√((0.583(1-0.583))/12) ≈ 0.170.

Substituting this value into the formula:

CI = 0.583 ± 1.96 * 0.170.

Calculating the lower and upper bounds of the confidence interval:

Lower bound = 0.583 - (1.96 * 0.170) ≈ 0.249,

Upper bound = 0.583 + (1.96 * 0.170) ≈ 0.917.

Therefore, the 95% confidence interval for the population proportion is approximately 0.249 to 0.917.

b. To determine if it is plausible that the drug treatment is successful for only half the population (p = 0.5), we can check if the value 0.5 falls within the 95% confidence interval. In this case, since the lower bound of the confidence interval (0.249) is less than 0.5, it is plausible that the success rate is lower than half the population. However, since the upper bound of the confidence interval (0.917) is greater than 0.5, it is also plausible that the success rate is higher than half the population. The 95% confidence interval indicates that the true population proportion could lie anywhere between 0.249 and 0.917, so we cannot definitively conclude that the success rate is exactly half the population.

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Answer:

These layers are the troposphere, the stratosphere, the mesosphere and the thermosphere.

A further region, beginning about 500 km above the Earth's surface, is called the exosphere.

Explanation:

Hope this helps you. Have a nice day. Please mark as brainliest. It helps a lot.^_^

Answer:

its A

Explanation:

Just took the exam

Answer:

a

Explanation:

Answer:

yes

Explanation: Work is done when there is movement. Therefore it was work was being done.

8.25749 x 10¹⁷ protons and 5.26 x 10¹⁴ electrons; the charge on this object is 0.4791  coulombs

To determine the charge on an object given the number of protons and electrons, we need to consider the elementary charge of a single proton and electron and their respective quantities.

The elementary charge, denoted as "e," is the fundamental unit of electric charge and is approximately equal to 1.602 x 10⁻¹⁹ coulombs.

Given that the number of protons is 8.25749 x 10¹⁷ and the number of electrons is 5.26 x 10¹⁴, we can calculate the total charge on the object.

Charge on protons = (Number of protons) * (Charge of a proton)

= (8.25749 x 10¹⁷) * (1.602 x 10⁻¹⁹ C)

Charge on electrons = (Number of electrons) * (Charge of an electron)

= (5.26 x 10¹⁴) * (-1.602 x 10⁻¹⁹ C) (Note: electrons have a negative charge)

Total charge = Charge on protons + Charge on electrons

Performing the calculations, we have:

Charge on protons = (8.25749 x 10¹⁷) * (1.602 x 10⁻¹⁹ C) ≈ 1.3227 C

Charge on electrons = (5.26 x 10¹⁴) * (-1.602 x 10⁻¹⁹ C) ≈ -0.8436 C

Total charge = 1.3227 C + (-0.8436 C) ≈ 0.4791 C

Therefore, the charge on this object is approximately 0.4791 coulombs.

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Answer:

Explanation:

The force acting on an object given it's mass and acceleration can be found by using the formula

force = mass × acceleration

From the question we have

force = 18 × 1.62

We have the final answer as

Hope this helps you

The direction of the courts in recent years has been towards expanding and strengthening the rights of the accused, while also ensuring that justice is served and the rights of victims are protected.

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Answer:

2.89 hours

Explanation:

given :

Vo = 72 km/h

Vt = 90 km/h

S = 234 km

find : the time taken (t) = ?

solution :

2.a.s = Vt² - Vo²

2.a.(234) = 90²- 72²

468.a = 8100 - 5184

= 2916

a = 2916/468 = 6.23 km/h²

so,

t = (Vt-Vo) /a

= (90-72)/ 6.23

= 18/ 6.23

= 2.89 hours

We are given the following information about an inelastic collision.

Mass of 1st object = 4 kg

Mass of 2nd object = 10 kg

Initial velocity of 1st object = 25 m/s

Final velocity of both objects = 14 m/s

Initial velocity of 2nd object = ?

In an inelastic collision, the momentum is conserved but the kinetic energy is not conserved.

Recall that the total momentum is conserved and given by

Let us substitute the given values and solve for initial velocity of the body (u2)

Therefore, the initial velocity of the body of mass 10 kg is 9.6 m/s

Answer:

Rusting of iron is slow in desert area because rusting happens when iron articles react with atmospheric oxygen and moisture and produced a substance called rust. in desert areas there is less moisture in air as compared to coastal area therefore rusting is slow.

Answer:

Relative; curved; gravity.

Explanation:

According to Einstein, space and time are relative and are parts of a whole universe that has four dimensions. Masses in the universe curved space-time, and the resulting shape of space-time cause gravity.

The above theory is known as the General Relativity or General Theory of Relativity and it was published in 1915 by Albert Einstein.

Basically, it states that universe curved space-time is directly proportional to the energy and momentum of matter and radiation that is present. Thus, gravity is the universe curved space-time caused by massive objects.

Answer:

Complete the passage to describe one of the features of Einstein’s general theory of relativity.

According to Einstein, space and time are  

relative

and are parts of a whole universe that has four dimensions. Masses in the universe  

curve

space-time, and the resulting shape of space-time causes  

gravity

correct on Edge2021

The y-component of the vector if the vector is 14.4 m long and  points in a 133 degree  direction is 9.92m

A vector force is defined as a vector quantity having both magnitude and direction.

If the magnitude of a vector is 14.4m long points in a 133-degree direction, then the y-component of the vector force will be expressed as:

\(v_y = vsin \theta\)

Given the following parameters

\(v = 14.4m\\\theta = 133-90=43^0\)

Substitute the given parameters into the expression

\(v_y=14.4 sin 43^0\\v_y=9.82m\)

Hence the y-component of the vector if the vector is 14.4 m long and  points in a 133 degree  direction is 9.92m

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Answer:

10.5

Explanation:

The equation for the y-component is Asin(theta) so the equation for this problem would be 14.4sin(133) which equals 10.5314933. We round this equation down to 10.5 and that is your answer.

Answer:

100

Explanation:

cause power equal to work over time

Answer:

true

Explanation:

we do not fully use the metric system

True is the answer

:)))

Answer: true

Explanation:

Answer:

check explanation

Explanation:

Whenever we talk about velocity ,it means that we r telling them the speed of the object+the direction of the motion of object but here direction isn't mentioned. That's the fault in the statement

The gain in translational kinetic energy of the cylinder when it has rolled 5m down the incline of the plane is approximately 345.6 J.

Given data:

Diameter, d = 0.20 mRadius,

r = 0.10 mMass of cylinder,

m = 12 kgInclined angle, θ = 37°

Distance traveled by cylinder, s = 5m

We know that work done by the gravitational force is the change in potential energy.

W=Fhsinθ... (1)

The kinetic energy of rolling objects is equal to its rotational kinetic energy plus its translational kinetic energy.

K = 1/2Iω² + 1/2mv²... (2)

The moment of inertia of a solid cylinder I=mr²/2.

Using conservation of energy principle:

Gain in translational kinetic energy of the cylinder is equal to the loss in potential energy.

Thus,

½mv²=mgH-mgSins....(3)

When the cylinder rolls without slipping, its velocity is equal to its angular velocity multiplied by its radius

v=ωr

Therefore, the rotational kinetic energy can be expressed as

1/2Iω²=1/2mr²ω²/2.... (4)

Using equations (1), (2), (3), and (4),

we can find the gain in translational kinetic energy of the cylinder while it rolls 5m down the incline of the plane.

K=1/2mv²=1/2m(v=ωr)²=1/2mr²ω²/2=1/2Iω²=1/2(12)(0.10)²(2/2)=0.12J... (5)

Potential energy, P=mgh=mgSins=12(9.8)(5)sin37°=294.2 J... (6)

So, using equations (5) and (6), we can get the gain in translational kinetic energy of the cylinder to be approximately:

K = 294.2 J – 0.12 J = 294.08 J

Therefore, the gain in translational kinetic energy of the cylinder when it has rolled 5 m down the incline of the plane is approximately 345.6 J.

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The carbon isotope was cobined with the proton to produce the nitrogen isotope hence it is a fusion reaction.

The term nuclear fusion refers to a kind of reaction in which two nuclei fuse together to give rise to a single nuclei with the evolution of energy.

We can see that the carbon isotope was cobined with the proton to produce the nitrogen isotope hence it is a fusion reaction.

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Answer:

A. Nuclear fusion

Explanation:

got it right, trust

Answer:

Population 1 indicates growth while Population 2 indicates a declining population

Explanation:

Here, using the given rate of change of the population, we want to determine which of the two is growing and which is declining

From the rate of change of both, we can determine this. Looking at the differential equation for the first one, we can see that it is of positive value. Looking at the differential equation for the second one. we can see it is of negative value

While a positive change rate indicates growth, a negative change rate will indicate otherwise

Hence, we can conclude that the one with a negative rate change will indicate a declining population

To measure the strength of magnetic fields in sunspots, you should observe the Sun using a solar telescope, utilize the Zeeman effect, record the spectral lines, and calculate the magnetic field strength based on the splitting of the spectral lines.

To measure the strength of magnetic fields in sunspots, you can follow these steps:

1. Observe the Sun using a solar telescope: First, you need to observe the Sun and locate the sunspots. A solar telescope equipped with filters to block harmful radiation is essential for this task.

2. Utilize the Zeeman effect: The Zeeman effect is a phenomenon where spectral lines split into multiple components under the influence of a magnetic field. This effect is crucial for determining the strength of magnetic fields in sunspots.

3. Record the spectral lines: Use a spectrometer to record the spectral lines of the light emitted from the sunspots. This will help you analyze the Zeeman effect and, in turn, the strength of the magnetic fields.

4. Calculate the magnetic field strength: Analyze the split spectral lines and their separation to calculate the strength of the magnetic field. The larger the splitting, the stronger the magnetic field.

In summary, to measure the strength of magnetic fields in sunspots, you should observe the Sun using a solar telescope, utilize the Zeeman effect, record the spectral lines, and calculate the magnetic field strength based on the splitting of the spectral lines.

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Answer:

It will be 1/9 of its previous value

Explanation:

Weight = mass x gravity

Gravity = GM / r²     (G is the constant)

Since the new radius is three times r, we plug in 3r:

New gravity = \(\frac{GM}{(3r)^{2} }\)

Since the new gravity is 1/9th of the original gravity, the new weight is 1/9th the original weight.

The correct answer is c) -9.80 m/s² in the y-axis. Since, the gravitational acceleration acts downward, it is considered negative, so the correct answer is -9.80 m/s² in the y-axis.

A projectile is an object that is thrown, launched, or otherwise propelled through the air, and its motion can be analyzed using the principles of classical mechanics. When a projectile moves, it experiences acceleration due to gravity, which acts only in the vertical direction (y-axis). This acceleration is called gravitational acceleration and has a standard value of 9.80 m/s² near the Earth's surface. The acceleration in the x-axis (horizontal direction) for a projectile is typically 0 m/s², as there is no force acting on the projectile horizontally once it is in motion (ignoring air resistance). Therefore, the projectile's horizontal velocity remains constant during its flight.

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Baring pneumothorax, this pressure is always lower than atmospheric pressure (that is, negative pressure) is called intrapleural pressure.

Intrapleural pressure refers to the pressure within the pleural cavity, which is the space between the lungs and the chest wall. Under normal conditions, the intrapleural pressure is maintained at a level lower than atmospheric pressure. This negative pressure is crucial for maintaining lung inflation and facilitating the process of breathing.

The negative intrapleural pressure is generated by the opposing forces acting on the lungs and chest wall. The elastic recoil of the lungs tends to collapse them inward, while the elastic recoil of the chest wall tends to expand it outward. These opposing forces create a negative pressure in the pleural cavity, which keeps the lungs expanded and allows for efficient gas exchange during respiration.

The negative intrapleural pressure is essential for maintaining the integrity of the lungs and promoting their optimal function. However, in the case of pneumothorax, air enters the pleural cavity, equalizing the pressure with atmospheric pressure and leading to a loss of the negative pressure. This can result in lung collapse and difficulty in breathing.

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The equivalent resistance between points A and B in the diagram is 22 Ω

We shall begin by obtaining the equivalent resistance in parallel (i,e the three 6 Ω resistor). Details below:

1/Rₜ = 1/R₁ + 1/R₂ + 1/R₃

1/Rₜ = 1/6 + 1/6 + 1/6

1/Rₜ = 3/6

1/Rₜ = 1/2

Rₜ = 2 Ω

Finally, we shall determine the equivalent resistance between A and B (i.e series arrangement). Details below:

R = R₁ + R₂ + R₃ + R₄ + R₅ + R₆ + R₇ + R₈ + R₉ + R₁₀ + R₁₁

R = 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2

R = 22Ω

Thus, we can conclude that the equivalent resistance is 22 Ω

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Pressure equals force divided by area.

P=F/A

The equation above shows that pressure is directly proportional to force, but inversely proportional to area. At a constant area, pressure increases as the magnitude of the force applied also increases.

for example;

A heavy sofa exerts more pressure on the floor compared to an empty box in the same area.

Pressure increases as the area decreases.

A finger exerts more pressure by pressing on the skin compared to the pressure exerted by a needle attached to a syringe. A finger may cause slight depression on the skin when pressed, but may not inflict pain at all.

however, when the same force is applied to a needle, the pressure produced is large enough to hurt the skin.

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Answer: The greater the area, the smaller the pressure applied and the smaller the area, the greater the pressure applied

Explanation: As one applies a certain force to a body of a large area, the pressure applied will be little and a force applied to a body of a small area, the pressure applied will be greater for pressure will tend to be greater if applied to a body of small area and therefore the force applied will create a strong pressure