=
Given that A = 4 i +4, Which
of the following is incorrect?
1
O 3A = 34, i +34, i
=
0 -2A = 24 i-24, i
O - Ä - - Ai Ai
4 -

O KA = £4, i + XĄ, i

Answers

Answer 1

Answer:

dd4l

Explanation:

im so  sorry i need points


Related Questions

What is defined as a set of coordinates on a map grid? > ω

What is defined as a set of coordinates on a map grid? >

Answers

A set of coordinates on a map grid are called coordinate grid or grid squares.

The quadrants in which ordered pairings, or coordinates, are established typically have two or more intersecting lines. Coordinates are also used in maps.

Eastings and Northings, two types of grid lines, are what make up the grid squares you see on maps. Both Easting and Northing grid lines are numbered from west to east and from south to north, respectively. The vertical lines that separate the map's west and east halves are known as eastings.

GPS coordinates, which are frequently stated in alphanumeric characters, can be used to uniquely identify a specific geographic place on the planet. In this context, coordinates refer to the points where a grid system intersects. Typically, GPS coordinates are written as a combination of latitude and longitude.

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Four different vehicles are shown. Assume that all four vehicles are traveling at the same speed on a highway. Which is true about the kinetic energy of the vehicles?

A. The motorcycle has the most kinetic energy because it has the least mass.

B. All of the vehicles have the same kinetic energy because they are moving at the same speed.

C. The delivery van has the greatest kinetic energy because its mass is greater than that of the other
vehicles.

D. The delivery van has the greatest kinetic energy because it has the most tires in contact with the
pavement.

Four different vehicles are shown. Assume that all four vehicles are traveling at the same speed on a

Answers

Answer:

Option C. The delivery van has the greatest kinetic energy because its mass is greater than that of the other

vehicles.

Explanation:

Kinetic energy is the energy of an object in motion. Mathematically, it is expressed as:

K.E = ½mv²

Where:

K.E is the kinetic energy.

m is the mass of the object.

v is the velocity of the object.

From the formula above, we can say that:

Kinetic energy is directly proportional to the mass of the object and the square of the velocity of the object. This simply means that objects with higher mass will have a greater kinetic energy than objects will lighter mass even if their velocities are the same.

From the question given above, it is obvious that the delivery van has a greater mass than the rest object.

Therefore, the delivery van will have the greatest kinetic energy because its mass is greater than that of the other

vehicles.

What is the mass of a block of lead that is 30cm by 80cm by 60cm?

Answers

Calculating the mass of the block requires a bit of work. The formula for the volume of a rectangular solid is V = l*w*h, where V is the volume, l is the length, w is the width, and h is the height. Using the dimensions given, we can calculate the volume of the block as 30*80*60 = 144000 cubic centimeters.

The density of lead is approximately 11.34 grams per cubic centimeter. To calculate the mass of the block, we can use the formula m = V*d, where m is the mass, V is the volume, and d is the density. Plugging in the values we get m = 144000*11.34 = 1,634,400 grams or approximately 1.63 metric tons.

So, the mass of the block of lead is approximately 1.63 metric tons.

A car is traveling south at 8.77 m/s. It then begins a uniform acceleration until it reaches a velocity of 47.8 m/s over a period of 3.84s. What is the car's acceleration?

Please help !

Answers

Answer:

The acceleration of the car is 10.16m/s²

Explanation:

Given parameters:

  Initial velocity = 8.77m/s

   Final velocity = 47.8m/s

   Time duration  = 3.84s

Unknown:

Acceleration of the car = ?

Solution:

To find the acceleration, we must bear in mind that this physical quantity is the change in velocity with time;

     Acceleration  = \(\frac{V - U}{T}\)

V is the final velocity

U is the initial velocity

T is the time taken

  Input the parameters and solve for acceleration;

      Acceleration  = \(\frac{47.8 - 8.77}{3.84}\)   = 10.16m/s²

The acceleration of the car is 10.16m/s²

this is a Physical Education question

this is a Physical Education question

Answers

B. Because your thumb has it’s own pulse that you may feel.

A weather forecast shows that the humidity will increase to 100% in the next couple of days. How might this affect the weather?I need help best first question that is right will get brainlist

A The air pressure will decrease.
B The air temperature will increase.
C The moisture will cause more water to evaporate.
D The moisture will condense into precipitation.

Answers

Answer:

b

Explanation:

This affect the weather.Because the moisture will condense into precipitation. Option D is correct.

What is weather forecast ?

Weather forecasting is the use of science and technology to forecast atmospheric conditions for a specific area and time.

People have sought to forecast the weather informally, and systematically since the nineteenth century.

The humidity is expected to reach 100% in the following several days, according to the weather.As a result of the moisture condensing into precipitation.

Hence,option D is correct.

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you made $100,000 this year. you have $0 in adjustments, $11,500 in deductions and $7,300 in exemptions. What is your taxable increase?

Answers

The tax rate you will pay is displayed in tax brackets for each category of taxable income.

Thus, For instance, in 2022, the first $10,275 of your taxable income is subject to the lowest tax rate of 10% if you are single.

Up until the maximum amount of your taxable income, the following portion of your income is taxed at a rate of 12%.

As taxable income rises, the tax rate rises under the progressive tax system. Overall, this has the result that taxpayers with higher incomes often pay a greater rate of income tax than taxpayers with lower incomes.

Thus, The tax rate you will pay is displayed in tax brackets for each category of taxable income.

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Convert 50km/hr into m/s using dimensional analysis?

Answers

Answer:

Explanation:

1 km=1000 m

1 hour =60 min =60*60 sec=3600 sec

Now put 1000 m instead of km and 3600 sec instead of hour in the given expression.

=50 km/hour

=50*1000 m/3600 sec

=500 m/36 sec

=13.89 m/s

Answer:

= 13.89 m/s

Explanation:

     km     1000 m        1 hr

50 ----- x ----------  x ------------  

       hr        1 km      3600 secs

= 13.89 m/s

what exercises most beneficial for your overall health​

Answers

Answer:

Endurance, or aerobic

Strength, or resistance training

Balance

Flexibility

Explanation:

Answer:

Walking. Walking is simple, yet powerful. It can help you stay trim, improve cholesterol levels, strengthen bones, keep blood pressure in check, lift your mood, and lower your risk for a number of diseases (diabetes and heart disease, for example).

1. A ball is at rest on the top of a hill (see the figure).
At the top of the hill, the ball will have [the maximum value of its, no, the minimum value of its] gravitational potential energy and [no, the maximum value of its] kinetic energy. If the ball rolls down the hill then, its [gravitational potential energy, kinetic energy] is converted to [gravitational potential energy, kinetic energy] when it gets to the ground.

2. Get your stopwatch ready and prepare to drop the object from the height h you selected in the previous step. You should drop the object so its [bottom, top, middle] part is initially at the height h. The initial speed of the ball [zero, 9.8 m/s, 9.8 m/s^2, depends on the height h] You'll need to measure the time from when the ball leaves your hand to exactly when it hits the ground [ for the first time it bounces, after it bounces and then comes to rest, both the first time and then after it bounces; then average the two times]
.

1. A ball is at rest on the top of a hill (see the figure).At the top of the hill, the ball will have

Answers

1. At the top of the hill, the ball will have the maximum value of its gravitational potential energy and the minimum value of its kinetic energy. As the ball rolls down the hill, its gravitational potential energy is converted to kinetic energy when it gets to the ground.

2. When dropping the object, you should drop it so its top part is initially at the height h. The initial speed of the ball will be zero since it starts from rest. To measure the time it takes for the ball to hit the ground, you should start the stopwatch when the ball leaves your hand and stop it when the ball hits the ground for the first time. It is recommended to perform multiple trials and calculate the average time to minimize errors.

3. An object is positioned a distance of 5.1 m from a plane mirror. Determine the...
a. ... distance the image is located from the plane mirror.
b. ... distance the image is located from the object.

Answers

The image distance from the plane mirror is 5.1 m.

The object distance from the plane mirror, u = 5.1 m

a) We know that the magnification of a plane mirror is always unity. That means the magnification is always one.

The expression for magnification of a plane mirror is given by,

m = - u/v

Therefore, the image distance from the plane mirror,

v = u

v = 5.1 m

That means the image distance and object distance are the same in a plane mirror.

b) The object is positioned at 5.1 m distance in front of the plane mirror. so, the image will be formed at 5.1 m distance behind the plane mirror.

Therefore,

The distance between the image and the object = 5.1 + 5.1 = 10.2 m

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In a DC generator, the generated emf is directly proportional to the

Answers

In a DC generator, the generated electromotive force (emf) is directly proportional to the rotational speed of the generator's armature and the strength of the magnetic field within the generator.

This relationship is described by the equation for the generated emf in a DC generator:

Emf = Φ * N * A * Z / 60

Where:

Emf is the generated electromotive force (in volts),

Φ is the magnetic flux density (in Weber/meter^2\(meter^2\) or Tesla),

N is the number of turns in the armature winding,

A is the effective area of the armature coil (in square meters),

Z is the total number of armature conductors, and

60 is a constant representing the conversion from seconds to minutes.

From this equation, we can see that the generated emf is directly proportional to the magnetic flux density (Φ) and the product of the number of turns (N), effective area (A), and the total number of armature conductors (Z). This means that increasing any of these factors will result in a higher generated emf.

The magnetic flux density (Φ) can be increased by using stronger permanent magnets or increasing the strength of the field windings in the generator.

The number of turns (N) and the effective area (A) are design parameters and can be optimized for a specific generator. Increasing the number of turns or the effective area will result in a higher generated emf.

Similarly, the total number of armature conductors (Z) can be increased to enhance the generated emf.

By controlling and optimizing these factors, the generated emf in a DC generator can be increased, resulting in higher electrical output. However, it is important to note that there are practical limits to these factors based on the design and construction of the generator.

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A lost chicken is trying to cross the street. Its velocity v as a function of time t is given in the graph
below where rightwards is the positive velocity direction.
v (m/s)
5
4+
3
21
1-1
2
3
4
5
-2
-3
-4
-5
What is the chicken's displacement Ax from t = 2 sto 4's?

Answers

Answer:-7.5

Explanation:

i just did it

at divergent plate boundaries, iron-rich minerals will align themselves with the existing magnetic field when they cool from a magma. t/f

Answers

Answer:

True

Explanation:

8. Combine the ice and the room-temperature water. Stir the mixture until the thermometer stays at the
same temperature for at least 1 minute. This means the thermometer is at the same temperature as the
mixture.
9. Record the temperature.
10. Stir the ice-water mixture occasionally for another 5 minutes. Then, record its temperature.
Table B: Part 2 Observations
Initial temperature (in "C) of the room-temperature water
Initial temperature (in "C) of the warm water
Temperature (in "C) of mixed warm water and room-temperature water
Temperature (in "C) of mixed warm water and room-temperature water after 5 min
Temperature (in "C) of mixed warm water and room-temperature water after 10 min
Initial temperature (in "C) of the ice
Temperature (in °C) of mixed ice and room-temperature water
Temperature (in "C) of mixed ice and room-temperature water after 5 min
Physical Science page

8. Combine the ice and the room-temperature water. Stir the mixture until the thermometer stays at thesame

Answers

The answer for the experiment is obtained by the principle of Newton's law of cooling. The initial temperature of the Room is taken as 32°C.

The ice cubes are mixed with room-temperature water, the ice starts to melt and the water becomes cold. This is because the ice and water have two different temperatures and when they are mixed there is an exchange of heat is taken place. When the ice cubes mixed with water the room temperature is decreases from 32°C. After stirring the mixture because of the heat released, the temperature increases.

When the ice-water mixture is stirred, the heat energy is evolved which melts the ice in the mixture, and therefore the temperature increases gradually. And stirring of water for every 5 minutes leads ice cubes to melt completely to form water and the level of water increases in the final stage. This was given by Newton's law of cooling.

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Blue light with a wavelength of 4.57 E-7 m is used in Young's experiment with the slits separated by a distance of 2.42 E-4Y
m. The screen is located at a distance from the slits of 4.5 m. Calculate the distance on the screen between the central
bright fringe and the first bright fringe. Show all work for full credit.

Answers

The distance between the central bright fringe and the first bright fringe on the screen is approximately 8.52E-3 meters.

In Young's double-slit experiment, the distance between the central bright fringe (m = 0) and the first bright fringe (m = 1) can be calculated using the following formula:

y = (m * λ * L) / d

where:

y is the distance between the fringes on the screen,

m is the order of the fringe (0 for the central bright fringe, 1 for the first bright fringe),

λ is the wavelength of the light,

L is the distance from the slits to the screen, and

d is the distance between the slits.

Given the values:

λ = 4.57E-7 m (blue light wavelength)

d = 2.42E-4 m (distance between the slits)

L = 4.5 m (distance from the slits to the screen)

For the central bright fringe (m = 0), the distance (y) is:

y = (0 * 4.57E-7 m * 4.5 m) / 2.42E-4 m

y = 0

Therefore, the central bright fringe coincides with the point where the two beams of light overlap.

For the first bright fringe (m = 1), the distance (y) is:

y = (1 * 4.57E-7 m * 4.5 m) / 2.42E-4 m

y ≈ 8.52E-3 m

This calculation demonstrates how the interference pattern in Young's experiment is formed, with bright and dark fringes being produced based on the constructive and destructive interference of the light waves from the two slits. The distance between these fringes depends on the wavelength of light, the separation of the slits, and the distance between the slits and the screen.

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*Question*
I am a thing, when you get hold of me I will be with you while while am in my natural environment. But when you take me from my environment I will leave you after a while. What am I ?

Answers

Answer:

A breath

Explanation:

When you are in your natural environment, you naturally breathe in the air around you. But if you were to take a breath of air and hold it in your lungs, eventually you would have to exhale and the breath would leave you. Similarly, if you were to be taken out of your natural environment (such as being underwater or in space), you would not be able to breathe and would eventually die without a source of oxygen.

Which item is a piece of golf equipment that supports the ball so the player can strike it?
O fairway
O divot
O par
O tee

Answers

its a golf tee. so D

As an object moves, the distance it travels increases with time.

Agree
Disagree

Answers

Agree

Hope this helps

Answer: Agree

Explanation:

The idea is that it will be at a farther place at a later period.

physical properties for soap

Answers

Answer:

there are germs in your hand and soap has chemicals that kill germs

Answer:

dino nuggies

Explanation:

cause whynot

A cell of inter resistance of 0.5 ohm is connected to coil of resistance 4 ohm and 8 ohm joined in parallel.If there is current of 2A in 8 ohm,find the emf of the cell.​

Answers

A cell of inter resistance of 0.5 ohm is connected to coil of resistance 4 ohm and 8 ohm joined in parallel.If there is current of 2A in 8 ohm, the electromotive force (emf) of the cell is approximately 14.5 volts.

To find the emf of the cell, we can apply Ohm's Law and Kirchhoff's laws to analyze the circuit.

Given:

Resistance of the coil, R1 = 4 ohm

Resistance of the other resistor, R2 = 8 ohm

Current passing through the 8-ohm resistor, I = 2A

First, let's analyze the parallel combination of the 4-ohm and 8-ohm resistors.

The total resistance of two resistors in parallel can be calculated using the formula:

1/Rp = 1/R1 + 1/R2

Substituting the given values, we have:

1/Rp = 1/4 + 1/8

1/Rp = 2/8 + 1/8

1/Rp = 3/8

Rp = 8/3 ohm

Now, let's consider the total resistance in the circuit, which includes the internal resistance of the cell (0.5 ohm) and the parallel combination of the resistors (8/3 ohm).

R_total = R_internal + Rp

R_total = 0.5 + 8/3

R_total = 1.833 ohm

Now, we can find the emf of the cell using Ohm's Law:

emf = I * R_total

emf = 2 * 1.833

emf ≈ 3.667 volts

Therefore, the emf of the cell is approximately 3.667 volts.

However, it is worth noting that the given current of 2A passing through the 8-ohm resistor does not affect the emf calculation since the emf of the cell is independent of the current in the circuit.

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Part 2: Vertical Distance
1
do
2.942
d, = vertical distance
g = acceleration due to gravity (10m/s2)
t = time
How high was a brick dropped from if it falls in 2.5 seconds?
2.5 m
Ob
12.5 m
25 m
с
Od
31.25 m

Answers

Answer:

31.25m

Explanation:

Given parameters:

   Acceleration due to gravity  = 10m/s²

    Time of drop = 2.5s

Unknown

Height of drop  = ?

Solution:

To solve this problem, we must note that the brick was originally at rest. The appropriate motion equation to solve this is shown below;

          H  = ut + \(\frac{1}{2}\)gt²

H is the height

u is the initial velocity

g is the acceleration due to gravity

t is the time taken

          Input the parameters and solve;

      H = 0 +  \(\frac{1}{2}\) x 10 x 2.5²

     H = 31.25m

Compute, in centimeters and in meters, the height of a basketball player who is 6 ft 1 in. tall into cm and m

Answers

We will have that:

6ft 1in is:

\(6ft(\frac{12in}{1ft})+1in=73in\)

Then:

\(73in(\frac{2.54cm}{1in})=185.42cm\)

So, the solution is both meters and cm are respectively.

1.8542 m and 185.42 cm.

Explain hExplain why the coin is able to float on top of the water in this glass.ow viscosity is related to the flow and attraction between atoms in a liquid.

Answers

Answer:

The viscosity of a liquid is a measure of its resistance to flow. Water, gasoline, and other liquids that flow freely have a low viscosity. Honey, syrup, motor oil, and other liquids that do not flow freely, like those shown in Figure 1, have higher viscosities. We can measure viscosity by measuring the rate at which a metal ball falls through a liquid (the ball falls more slowly through a more viscous liquid) or by measuring the rate at which a liquid flows through a narrow tube (more viscous liquids flow more slowly).

Answer:

Surface tension is the result of water molecules pulling inward with a strong attractive force. This attractive force brings the molecules on the surface of the water close together and causes the surface of the water to be drawn toward the water molecules beneath the surface. Since there are no water molecules above the surface, there are uneven forces. This causes surface tension, allowing the coin to float on the water’s surface.

Explanation:

What is the angle θ between vectors A⃗ and B⃗ if A⃗ =4ı^−4ȷ^ and B⃗ =−5ı^+7ȷ^?

Answers

The characteristics of the scalar product allows to find the angle between the two vectors is:

The angle θ = 170º

The scalar product is the product between two vectors whose result is a scalar.

            A . B = |A|  |B| cos θ

Where A and B are the vectors, |A| and |B| are the modules of the vectors and θ at the angle between them.

The vector is given in Cartesian coordinates and the unit vectors in these coordinates are perpendicular.

            i.i = j.j = 1

            i.j = 0

            A . B = (4 i - 4j). * -5 i + 7j)

            A . B = - 4 5 - 4 7

            A. B = -48

We look for the modulus of each vector.

           |A| = \(\sqrt{x^2 +y^2 }\)

           |A| = \(\sqrt{4^2 + 4^2}\)  

           |A| = 4 √2

          |B| = \(\sqrt{5^2 +7^2}\)

          |B| = 8.60

We substitute.

            -48 = 4√2  8.60  cos θ

            -48 = 48.66 cos θ

            θ = cos⁻¹   \(\frac{-48}{48.664}\)  

            θ = 170º

In conclusion using the dot product we can find the angle between the two vectors is:

the angle θ = 170º

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A gorilla drags a log across the jungle floor. The log begins at rest and accelerates at until the gorilla is moving at a fast lope. The coefficient of kinetic friction between the log and the mud and plants of the jungle is . Assume that friction and the gorillas pulling force remain constant the whole time. What frictional force acts on the log

Answers

Answer:

  fr = 245 N,  T = fr

Explanation:

We can solve this exercise using the equilibrium conditions, let's start by creating a reference system

where we call T the drag force of the gorilla, m the mass of the trunk and μ the coefficient of kinetic friction

Y axis  

           N- W =

           N = W = mg

X axis

          T - fr = 0

          T = fr

the expression for the friction force is

          fr = μ N

          fr = μ mg

we substitute

           T = μ m g

When analyzing these expressions we see that when the trunk reaches the maximum speed that the gorilla carries, the friction force is equal to the gorilla's tension

            fr = T

for a specific calculation we must assign values ​​to:

      μ = 0.25

      m = 100 kg

let's calculate

         T = 0.25 100 9.8

         T = 245 N

therefore for this case

         fr = 245 N

Three forces are sliding at 0.22 friction with 450kg mass, what is the acceleration?

Answers

To find the acceleration of the 450 kg mass acted upon by three forces with a coefficient of friction of 0.22, we need to first find the net force acting on the mass.

Let F1, F2, and F3 be the three forces acting on the mass. The net force is given by:

F_net = F1 + F2 + F3 - frictional force

where the frictional force is given by:

frictional force = coefficient of friction * normal force

The normal force is equal to the weight of the object, which is given by:

weight = mass * acceleration due to gravity

Substituting these values, we get:

frictional force = 0.22 * 450 kg * 9.81 m/s^2

frictional force ≈ 978.54 N

Therefore, the net force acting on the mass is:

F_net = F1 + F2 + F3 - 978.54 N

Since the mass is accelerating, the net force is equal to the mass times the acceleration, i.e.,

F_net = mass * acceleration

Therefore,

mass * acceleration = F1 + F2 + F3 - 978.54 N

Solving for the acceleration, we get:

acceleration = (F1 + F2 + F3 - 978.54 N) / mass

Without more information about the magnitudes and directions of the three forces, we cannot calculate the acceleration.

A car travels 90 km/h. How long does it take for the car to travel
400 km?
b. 1.5x103 s
C. 1.5x104 s
a. 4x104 s.
d. 1.6x104s

Answers

Answer:

4.44 hr

Explanation:

distance= rate*time

400km/(90 km/hr)=time

time=4.44 hr

03: Hook's law suggests that F is directly proportional to -x, how much true you have found this statement in your experiment? Explain any differences.​

Answers

Hooke's Law can be given as follows sometimes:

The restoring force of a spring is equal to the spring constant multiplied by the displacement from its normal position:

F = -kx

Where, F = Restoring force of a spring (Newtons, N)

k = Spring constant (N/m)

x = Displacement of the spring (m)

The negative sign relates to the direction of the applied force and by convention, the minus or negative sign is present in F = -kx. The restoring force F is directly proportional to the displacement (x), according to Hooke's law. When the spring is compressed, the displacement (x) is negative. It is zero when the spring is at its original length and positive when the spring is extended.

Practically, Hooke's Law is applicable only within a limited frame of reference, and through experimenting, this statement proves to be true. Because materials cannot be compressed beyond a certain size or expanded beyond a certain size without some permanent deformation or change of their original state.

The law only applies under some conditions such as a limited amount of force or deformation. Factually, many materials will noticeably deviate from Hooke's law even before those elastic limits are reached.

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Read each question carefully. Show all your work for each part of the question. The parts within the question may not have equal weight. A satellite of mass mis orbiting Earth in a stable circular orbit of radius R. The mass and radius of Earth are Mg and Rg , respectively. Express your answers to parts (a), (b), and (c) the following in terms of m, R, ME, Rg , and physical constants, as appropriate.
(a) Derive an expression for the speed of the satellite in its orbit.
(b) Derive an expression for the total mechanical energy of the satellite-Earth system in its orbit.
(c) Derive an expression for the period of the satelliteâs orbit.
(d) The satellite is replaced with a similar satellite that has twice the mass. The new satellite is placed into the same orbit as the original satellite. Is the new satelliteâs orbital speed greater than, less than, or equal to the original satelliteâs orbital speed?

Answers

A satellite of mass mis orbiting Earth in a stable circular orbit of radius R, (a) Speed of satellite is v = sqrt(G x Mg/R). (b) total mechanical energy is E = KE + PE. (c)  the period of the satellite as orbit is T = 2 x pi x sqrt(R^3 / (G x Mg)).

(a) The speed of the satellite in its orbit can be derived using Kepler's second law of planetary motion, which states that a planet or satellite's orbital speed is inversely proportional to the square root of the distance from the center of the planet or satellite to the center of the primary body. This can be expressed mathematically as:

v = sqrt(G x Mg / R)

where v is the orbital speed of the satellite, G is the gravitational constant, Mg is the mass of Earth, and R is the radius of the satellite's orbit.

(b) The total mechanical energy of the satellite-Earth system in its orbit can be calculated using the formula for kinetic energy and the formula for gravitational potential energy. The kinetic energy of the satellite is given by:-

= KE

= 1/2 x m x v^2

The satellite's gravitational P.E. determined by:

= PE

= -G x Mg x m / R

The total mechanical energy of the satellite-Earth system is the sum of the kinetic energy and gravitational potential energy, so:

= E

= KE + PE

= 1/2 x m x v^2 - G x Mg x m / R

(c) The period of the satellite's orbit is the time it takes for the satellite to complete one full orbit around Earth. This can be calculated using the formula:-

= T

= 2 x pi x sqrt (R^3 / (G x Mg))

where T is the period of the orbit, G is the gravitational constant, Mg is the mass of Earth, and R is the radius of the satellite's orbit.

(d) If the new satellite has twice the mass of the original satellite, then its kinetic energy will be four times greater, since KE is proportional to m. However, the gravitational potential energy of the new satellite will also be four times greater, since PE is proportional to m. Since the total mechanical energy of the satellite-Earth system is the sum of the kinetic and gravitational potential energy, the total mechanical energy of the new satellite-Earth system will be the same as the total mechanical energy of the original satellite-Earth system. Therefore, the new satellite's orbital speed will be the same as the original satellite's orbital speed.

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