The satellite orbits at a distance from the center of the moon. Which of the following is a correct expression for the time it takes the satellite to make one complete revolution around the moon?
A) T = 2π[tex]\sqrt \frac{R^3}{Gm}[/tex]
B) T = 2π[tex]\sqrt\frac{R^3}{GM}[/tex]
C) T = 2π[tex]\sqrt\frac{Gm}{R^3}[/tex]
D) T = 2π[tex]\sqrt\frac{GM}{R^3}[/tex]

A THR (Total Home Run) is a statistic that measures the total number of home runs a baseball player has hit during a season or career. It is calculated by adding up all of the home runs a player has hit in a season.

Statistic is a branch of mathematics which deals with the collection, analysis and interpretation of numerical data. It is used to help make inferences and decisions about a population by studying a sample of that population. It is a way to summarize the information and draw conclusions about the population based on the sample data. Statisticians use various techniques such as data mining, hypothesis testing and regression analysis to draw meaningful conclusions from the data.

To learn more about statistic

https://brainly.com/question/7992443

#SPJ9

The proper order of the net forces is A, B, and C in decreasing order of magnitude.

Let's consider the net electrostatic force that each charge experiences due to the other two charges:

Charge A experiences a force towards the right due to the repulsion with Charge B, and towards the left due to the attraction with Charge C. As both charges are of the same magnitude, these two forces cancel each other out, and there is no net force on Charge A.

Charge B experiences an attraction towards the left due to Charge A, and a repulsion towards the right due to Charge C. As both charges are of the same magnitude, these two forces cancel each other out, and there is no net force on Charge B.

Charge C experiences a force towards the left due to the attraction with Charge B, and towards the right due to the repulsion with Charge A. As both charges are of the same magnitude, these two forces cancel each other out, and there is no net force on Charge C.

Therefore, the correct ranking of the net forces in descending order of magnitude is: A, B, C.

To learn more about electrostatic force refer to:

brainly.com/question/9774180

#SPJ4

Answer:

13 cm

Explanation:

13 cm is the image distance

Answer:

(b) is false - a person on the moon would weight about 1/6 of the person's weight on earth - this is due to the smaller gravitational attraction of the person's mass even tho the mass is the same

The statement that is false is "b. weight is a constant no matter where you are located." Statements a, b and c are all true.

This is because weight is a measure of the force of gravity on an object, and the force of gravity varies depending on where you are located.

For example, an object will weigh less on the moon than it does on Earth because the force of gravity is weaker on the moon.

In contrast, mass is a measure of the amount of matter in an object and does not change depending on location.

Therefore, statements "a. weight depends on the force of gravity," "c. mass is a constant no matter where you are located," and "d. mass is the amount of matter in an object" are all true.

To know more about weight, refer here:

https://brainly.com/question/29438890#

#SPJ11

We are unable to directly determine the work performed by the engine because the distance over which the force acts is unknown.

This indicates that the effort expended to increase the car's speed will be equivalent to the change in kinetic energy of the vehicle. Thus, 30 kJ of effort must be performed.

The work W is equal to the force f times the distance d, or W = fd, to mathematically describe this idea.

To know more about work visit:-

https://brainly.com/question/18094932

#SPJ1

For the 4-volt, 0.5-watt lamp to receive the proper power, R1 should be 48 ohms.

To find the required resistance of R1, we need to use Ohm's law, which states that the current (I) flowing through a circuit is equal to the voltage (V) divided by the resistance (R), i.e., I = V/R.

First, we need to determine the current that the lamp requires. The power (P) of the lamp is given by P = IV, where I is the current flowing through it, and V is its voltage rating. We know that the power of the lamp is 0.5 watts and its voltage rating is 4 volts. Substituting these values, we get:

0.5 = I * 4

Solving for I, we get:

I = 0.5/4 = 0.125 amps

Now, we can use the current value to determine the resistance of R1 using Ohm's law. We know that the voltage drop across R1 is 6 volts (the total voltage of the battery minus the voltage of the lamp). Substituting the values of I and V into the formula, we get:

R1 = V/I = 6/0.125 = 48 ohms

Therefore, R1 should be 48 ohms to supply the correct current to the 4-volt, 0.5-watt lamp.

To learn more about circuit refer to:

brainly.com/question/12608491

#SPJ4

The wavelength of the wave is 2.4 m, the frequency of the wave is 0.6593 Hz, and the speed of the wave is 0.2637 m/s.

A transverse wave is observed to be moving along a lengthy rope

Distance between adjacent crests (wavelength) = λ = 2.4 m

Number of crests passing a point = 6

Time taken for these crests to pass = t = 9.1 s

We can use the formula:

Speed = Distance / Time

Speed of the wave (v) = λ / t

Frequency of the wave (f) = Number of crests / Time taken

So, substituting the given values, we get:

Speed of the wave (v) = λ / t

v = 2.4 m / 9.1 s

v = 0.2637 m/s

Frequency of the wave (f) = Number of crests / Time taken

f = 6 / 9.1 s

f = 0.6593 Hz

Learn more about transverse wave here

brainly.com/question/15819487

#SPJ4

The colors of the rainbow are red, orange, yellow, green, blue, indigo, and violet, thus B, R is really the correct sequence since B is BLACK, BLUE, BROWN, R is RED, and Y is their hue.

What letter comes first in number order for each color?

The mnemonic scheme ROYGBIV, whereby each character stands for the initial letter of both the primary colours, is the most effective approach to recall the rainbow's color sequence. As example, R stands for red, O for orange, Y for yellow, etc.

The color wheel depicts every hue that may be seen. It is the accepted method for perceiving and comprehending color schemes. The first color wheel was made by Sir Isaac Newton in 1666, and it was arranged in the order of the hues that can be seen in the spectrum of light that is visible (red, orange, yellow, green, blues, indigo, and violet).

To know more about light click here

brainly.com/question/9695421

#SPJ4

When two capacitors 22 μF and 64 μF are connected to a 100-V source, the energy stored in each capacitor is different depending on whether the capacitors are connected in parallel or in series. When connected in parallel, the energy stored in each capacitor is 0.0022 mJ and 0.0064 mJ respectively. When connected in series, the energy stored in each capacitor is also 0.0022 mJ and 0.0064 mJ respectively.  

To answer the question of finding the energy stored in two capacitors 22 μF and 64 μF when connected to a 100-V source, first we need to determine if the capacitors are connected in parallel or series. When two capacitors are connected in parallel, the total capacitance is the sum of the individual capacitances.

Therefore, for two capacitors 22 μF and 64 μF connected in parallel, the total capacitance is 86 μF. The energy stored in each capacitor can be found using the formula W = ½CV2, where C is the capacitance and V is the voltage. For the 22 μF capacitor, W22 = 0.5 * 22 * 10-6 * (100)2 = 0.0022 mJ. Similarly, for the 64 μF capacitor, W64 = 0.5 * 64 * 10-6 * (100)2 = 0.0064 mJ.

When two capacitors are connected in series, the total capacitance is the reciprocal of the sum of the reciprocals of the individual capacitances. Therefore, for two capacitors 22 μF and 64 μF connected in series, the total capacitance is 4.3 μF.

The energy stored in each capacitor can be found using the same formula W = ½CV2. For the 22 μF capacitor, W22 = 0.5 * 22 * 10-6 * (100)2 = 0.0022 mJ. Similarly, for the 64 μF capacitor, W64 = 0.5 * 64 * 10-6 * (100)2 = 0.0064 mJ.

Know more about capacitor here:

https://brainly.com/question/17176550

#SPJ11

The maximum angular speed of the turntable to avoid slipping is option (2), √(µg/x).

The maximum angular speed of the turntable can be found by equating the centrifugal force with the frictional force acting on the block.

At maximum angular speed, the centrifugal force acting on the block is given by F = mRω², where R = x is the distance of the block from the center and ω is the angular speed of the turntable.

The frictional force acting on the block is f = µN, where N is the normal force on the block.

At maximum angular speed, the normal force N is equal to the weight of the block, N = mg.

Equating the centrifugal force and the frictional force:

mRω² = µN

mRω² = µmg

ω² = µg/R

ω = √(µg/R)

Substituting R = x:

ω = √(µg/x)

Therefore, the maximum angular speed of the turntable so that the block does not slip is given by √(µg/x).

Learn more on angular speed here: https://brainly.com/question/6860269

#SPJ1

(a) The relative velocity of the second car with respect to the first car is -15 m/s.

(b) The relative velocity of the second car with respect to the first car is 95 m/s when they are moving in opposite directions.

When two objects are moving in the same direction, the relative velocity of the second object with respect to the first object is the difference between their velocities:

Relative velocity = Velocity of the second car - Velocity of the first car

Relative velocity = 40 m/s - 55 m/s

Relative velocity = -15 m/s

When the two cars are moving in opposite directions, the relative velocity of the second car with respect to the first car is the sum of their velocities:

Relative velocity = Velocity of the first car + Velocity of the second car

Relative velocity = 55 m/s + 40 m/s

Relative velocity = 95 m/s

Learn more about relative velocity here: https://brainly.com/question/17228388

#SPJ1

Answer:

The six steps of the scientific method include: 1) asking a question about something you observe, 2) doing background research to learn what is already known about the topic, 3) constructing a hypothesis, 4) experimenting to test the hypothesis, 5) analyzing the data from the experiment and drawing conclusions, and 6) communicating the results to others.

The kinetic energy before the collision is 358 J and the kinetic energy after the collision is 232 J.

KE_before = (1/2) * m1 * v1^2 + (1/2) * m2 * v2^2

KE_before = (1/2) * 8 * 4^2 + (1/2) * 3 * 14^2

= 64 + 294

= 358 J

m1 * v1 + m2 * v2 = m1 * v1' + m2 * v2'

Substituting the given values, we get:

8 * 4 + 3 * 14 = 8 * 2 + 3 * v2'

Solving for v2', we get:

v2' = (8 * 4 + 3 * 14 - 3 * v1') / 3

The negative sign indicates that the 3kg ball is moving in the opposite direction after the collision. We also know that the 8kg ball is moving away at 2m/s. Therefore,

v1' = 2 m/s

Substituting this value, we get:

v2' = (8 * 4 + 3 * 14 - 3 * 2) / 3

= 12 m/s

The kinetic energy after the collision is:

KE_after = (1/2) * m1 * v1'^2 + (1/2) * m2 * v2'^2

Substituting the given values, we get:

KE_after = (1/2) * 8 * 2^2 + (1/2) * 3 * 12^2

= 16 + 216

= 232 J

Kinetic energy is the energy an object possesses due to its motion. In physics, it is defined as the energy that an object possesses due to its motion, and it is dependent on the mass and velocity of the object. The formula for kinetic energy is KE = 1/2mv², where KE is the kinetic energy, m is the mass of the object, and v is the velocity of the object.

Kinetic energy is a scalar quantity, meaning that it has only magnitude and no direction. It is a fundamental concept in physics, and it is used to describe many phenomena, including the motion of particles, the motion of objects, and the conversion of energy between different forms. The kinetic energy of an object can be transformed into other forms of energy, such as potential energy or thermal energy, through various processes.

To learn more about Kinetic energy visit here:

brainly.com/question/26472013

#SPJ4

Answer:

Explanation:

The mechanical advantage (MA) of a pulley is defined as the ratio of the output force (the force exerted by the pulley system) to the input force (the force applied to the pulley system).

In this case, the input force is 20 N, and the output force (the force needed to lift the box) is 90 N. Therefore, the mechanical advantage of the pulley can be calculated as:

MA = output force / input force

MA = 90 N / 20 N

MA = 4.5

So the mechanical advantage of the pulley is 4.5. This means that for every 1 N of force applied to the pulley system, the pulley system can lift 4.5 N of weight.

The ratio of the output force to the input force is used to calculate the mechanical advantage of a pulley system. In this case, the Mechanical Advantage of the pulley used to lift a 90N box with 20N of force is 4.5.

The Mechanical Advantage (MA) of a machine is calculated by the ratio of output force (the force exerted by the machine) to the input force (the force applied on the machine). In this case, the output force is the weight of the box which is 90N, and the input force is the force required to lift the box which is 20N. Therefore, the mechanical advantage is calculated as MA = Output Force/Input Force = 90N/20N = 4.5. So, the Mechanical Advantage of the pulley system used to lift the box is 4.5.

https://brainly.com/question/32205849

#SPJ2

Its average separation from of the Sun is 6.1 AU, or (225/3)AU.

When the period (P) is written in years and the orbital radius (a) is represented in light years away (1 AU is the arithmetic mean between the Sun and the planet Earth), Kepler's Third Law states that P2 = a3. where P is measured in Earth years, an is measured in astronomical units, and M is the centre object's mass expressed in Sun-mass units.

As seen from it above Middle Latitudes, the Earth circles the Sun at an arithmetic mean of 149.60 million kilometres (92.96 million miles), anticlockwise. One axial tilt year, or 365.249 days, is needed to complete one orbit, during which duration Earth has travelled 940 million kilometres (584 million mi).

To know more about separation visit:

https://brainly.com/question/17177213

#SPJ1

The figure skater increases the speed of her spin to 10 revolutions per second by drawing her arms inside.

The speed of the skater's spin drops by a factor of two as she spreads her arms out in front of her, doubling the moment of inertia. She dramatically reduces her inertia moment while folding her wrists in, resulting in a considerable increase in rotational velocity.

When does a speedskater reach a point of inertia?

During skating, the skater's mass is measured in terms of how far it extends from the axis around the direction that he or herself is spinning. This is known as the inertia moment, or moment of inertia The magnitude of its moment of inertia increases with distance from the axis. The force required to halt a moving item is measured by momentum.  

To know more about direction click here

brainly.com/question/30098658

#SPJ4

The best description of Jodi's error is "The electrons move from areas of low to high electric potential." because the electrons actually move from areas of high to low electric potential. thus option 2 is the answer.

Jodi's error is in statement 2, which says that electrons move from areas of low to high electric potential. In reality, electrons move from areas of high to low electric potential. This is because electric potential represents the energy per unit charge, and electrons are negatively charged particles that naturally move from higher energy levels to lower ones. The direction of electron flow determines the direction of electric current, which is the flow of electric charge. The other statements on Jodi's list are generally correct, including the fact that voltage (or potential difference) is what drives current flow, and that current is measured in amperes.

However, it's important to note that the movement of electrons in a current is not always continuous, as they can be impeded by resistance, which causes them to lose energy and generate heat.

Learn more about electrons:

https://brainly.com/question/2845051

#SPJ4

The correct question Is:

Jodi made a list about electric current to help her study for a test.

1) Movement of electrons is continuous in a current.

2) Electrons move from areas of low to high electric potential.

3) Voltage causes current to flow.

4) Rate at which current flows are measured in amperes.

Which best describes Jodi’s error?

The movement of electrons is not always continuous.

Electrons move from areas of high to low electric potential.

Resistance causes current to flow.

The rate at which current flows is measured in ohms.

A cross-sectional area of the wire could conduct 2.00 C of charge in 400 seconds.

The amount of charge moving through a cross-section of a circuit in a certain amount of time is known as current. The ampere's definition is The ampere is the commonly used current unit in mathematics (abbreviated Amp or A).

We can use the formula: Q = I * t

Q stands for charge, I for current, and t for time. To solve for t, we obtain: t = Q / I

By entering the specified values, we obtain:

t = 2.00 C / 5.00 mA

To preserve consistent units, we must convert milliamperes (mA) to amperes (A). To accomplish this, divide by 1000., since 1 mA = 0.001 A.

Thus: t = 2.00 C / (5.00 mA / 1000)

Simplifying, we get:

t = 2.00 C / 0.005 A

t = 400 s

To know more about current visit:-

https://brainly.com/question/16418638

#SPJ1

The two masses have a ratio of mB/mA = IB/IA = 4. Mass A must be put at a distance of x = [mB R (2 + sqrt(3))] / 2 for IB to equal IA (mA - mB) are As a result, mass A must be positioned at a distance of x = [mB R (2 + (3))] / [mB R] for IB to equal IA (mA - mB).

The sum of each particle's product of mass and the square of its distance from the axis of rotation is what determines the moment of inertia. The moment of inertia formula is given as I = miri2.

The formula for the total moment of inertia about the axis of rotation is

I = IA + IB

If IB = 4IA, then:

I = IA + 4IA = 5IA

So, the ratio of the two masses is:

mB/ mA = IB/IA = 4

(b)Let x represent the separation between mass A and the rotational axis. Thus, mass A's moment of inertia is:

IA = mA x²

And with respect to the axis of rotation, the moment of inertia of mass B is:

IB = mB (R - x)²

If IB = IA, then:

mA x² = mB (R - x)²

Expanding the right-hand side and simplifying, we get:

mB x² - 2mB Rx + mB R² = mA x²

(mA - mB) x² + 2mB Rx - mB R² = 0

The solutions of this equation are:

x = [ -2mB R ± √((2mB R)² - 4(mA - mB)(-mB R²))] / 2(mA - mB)

Simplifying, we get:

x = [mB R (2 ± √(3))] / (mA - mB)

Since x must be positive, we take the solution with the plus sign:

x = [mB R (2 + √(3))] / (mA - mB)

To know more about inertia visit:-

https://brainly.com/question/3268780

#SPJ1

In accordance with Fleming's left-hand rule, the wire tends to travel perpendicular to the plane of the paper upward when the magnetic field is directed from N-pole to S-pole.

Curling your fingers and directing your right thumb in the direction of the wire's current will help you find it. Your fingers will curl in the same direction due to the magnetic field surrounding the wire.

Certain magnetic field characteristics Straight current-carrying conductor lines: Around the conductor, it creates concentric circles. It is situated in a plane parallel to conductor.

To know more about magnetic field visit:-

brainly.com/question/24397546

#SPJ1

The mass of the fish is 3 kg.

What is mass?

In physics, mass is a proportion of how much matter is in an item. It is typically estimated in kilograms (kg). Mass is a scalar amount, meaning it just has size and no course.

Mass is unique in relation to weight, which is the force applied to an item because of gravity. Mass is an inherent property of an item and doesn't rely upon its location or environment. Weight, then again, relies upon the gravitational force and can change depending on the location.

rotational equilibrium

(3.5 )(9.8)(L/2) + m(9.8)(L/4) - (5)(9.8)(L/2) = 0

34.3(L/2)+9.8m(L/4)- 49(L/2)=0

34.3(L/2)- 49(L/2)+9.8m(L/4)=0

-14.7(L/2)+9.8m(L/4)=0

-7.35L+2.45mL=0

2.45mL=7.35L

m=7.35L/2.45L

m = 3 kg.

thus mass of the fish is 3 kg.

Learn more about rotational equilibrium:

https://brainly.com/question/30263403

#SPJ4

Answer:

I think it's moving towards the reference point

Answer: They both will go out

Explanation:

Therefore, the components of vector M are approximately Mx = 3.98 and My = 3.02.

How to calculate vector of components ?

The vector M has a magnitude of 5.0 and a direction of 37.0° with respect to the x-axis, as seen in the attached figure.

The cosine of the angle between vector M and the x-axis can be used to determine the x-component of vector M:

Mx = 5.0 cos(37.0°) 3.98, where Mx = M cos(37.0°)

The sine of the angle between vector M and the x-axis can be used to calculate the y-component of vector M:

M sin(37.0°) = 5.0 sin(37.0°) 3.02; My = M sin(37.0°)

To know more about vector visit:-

https://brainly.com/question/30514420

#SPJ1

Answer:

The parallax method relies on measuring the apparent shift in position of a star against the background of more distant stars as the Earth orbits the Sun. The angle of this shift is called the parallax angle, and it can be used to calculate the distance to the star.

To determine the distance between the two stars in the problem, we need to use some trigonometry. Since the stars are 5 degrees apart in the night sky, we can use the formula:

distance = (angular separation / 2) x (1 / parallax)

Plugging in the values for the first star, we get:

distance1 = (5 / 2) x (1 / 0.11) = 22.7 light-years

And for the second star:

distance2 = (5 / 2) x (1 / 0.13) = 19.2 light-years

Now, we can use the Pythagorean theorem to find the distance between the two stars:

distance between stars = √(distance1^2 + distance2^2) = √(22.7^2 + 19.2^2) = 29.4 light-years

Therefore, the two stars are about 29.4 light-years apart from each other.

The bending of light as it passes from one medium to another is governed by Snell's law, which depends on the indices of refraction of the two media and the angle of incidence

The bending of light as it travels from one medium to another is described by Snell's law, which states that the ratio of the sines of the angles of incidence and refraction is equal to the ratio of the indices of refraction of the two media:

n1 sin(theta1) = n2 sin(theta2)

where n1 and n2 are the indices of refraction of the two media, theta1 is the angle of incidence (the angle between the incident ray and the normal to the interface between the two media), and theta2 is the angle of refraction (the angle between the refracted ray and the normal).

The index of refraction of a medium is a measure of how much the speed of light is reduced when it travels through that medium compared to its speed in a vacuum.

Learn more about Snell's law here

brainly.com/question/2273464

#SPJ4

Answer: 1234 is correct

hope that helps

Explanation:

Energy transfer is the movement of energy from one location to another. ... Energy transformation is when energy changes from one form to another – like in a hydroelectric dam that transforms the kinetic energy of water into electrical energy.

Energy transfer in physics refers to the movement of energy from one object or system to another. Energy can take various forms such as kinetic energy, potential energy, thermal energy, electromagnetic radiation, and chemical energy, among others. The transfer of energy can occur through different mechanisms such as work, heat, and radiation.

Work is the transfer of energy that occurs when a force acts on an object and causes it to move a certain distance. Heat transfer is the flow of energy from a hotter object to a cooler object, driven by a temperature difference between the two objects. Radiation is the transfer of energy in the form of electromagnetic waves or particles. Energy transfer is a fundamental concept in physics as it governs many natural phenomena such as heat flow, electrical power generation, and energy conversion in machines.

To learn more about Energy transfer  visit here:

brainly.com/question/8306722

#SPJ4

A simple machine is that a complex machine is made up of multiple simple machines that work together to perform a complex task.

One example of a complex machine is a car. A car is a complex machine because it consists of many simple machines that work together to perform a complex task. The simple machines in a car include the wheel and axle, pulleys, gears, levers, and inclined planes.

The engine in a car is a complex machine that converts the chemical energy of gasoline into the kinetic energy needed to move the car. The engine is made up of many simple machines, including pistons, cylinders, valves, and crankshafts. The transmission is another complex machine in a car that uses gears and levers to transfer power from the engine to the wheels.

Other components of a car, such as the steering system, brakes, and suspension, are also complex machines that use multiple simple machines to perform their functions.

What distinguishes a complex machine from a simple machine is that a complex machine is made up of multiple simple machines that work together to perform a complex task. In contrast, a simple machine performs a single task using only one or two basic mechanisms, such as the lever or the inclined plane.

for such more question on complex machine

https://brainly.com/question/28750066

#SPJ4

The speed of the particle at t = 0 s is 9.00 m/s. The position of the particle at t = 0 s is -16.00 m.

The position, velocity, and speed of the particle at the time t = 0 s can be determined by substituting t = 0 into the given expression for x(t) and taking the first and second derivatives of x(t) with respect to time.

(a) Position at t = 0 s:
x(t) = b + c(t - 2 s)
x(t = 0) = 2.00 m + 9.00 m/s(0 - 2 s)
x(t = 0) = 2.00 m - 18.00 m
x(t = 0) = -16.00 m

(b) Velocity at t = 0 s:
v(t) = dx/dt = c
v(t = 0) = 9.00 m/s
The velocity of the particle at t = 0 s is 9.00 m/s.

(c) Speed at t = 0 s:
The speed of the particle is the absolute value of the velocity, so:
v(t = 0) = |9.00 m/s| = 9.00 m/s

To learn more about Speed :

https://brainly.com/question/13943409

#SPJ11