Calculate the period of a satellite orbiting the moon, 94 km above the moon's surface. ignore effects of the earth. the radius of the moon is 1740 km.

We are given that there are two capacitors:

4.20 uf

8.50 uf

A. In parallel

The equivalent capacitance of capacitors is similar to calculating that of a current, they are added when in parallel. Therefore the equivalent capacitance is:

equivalent capacitance = C1 + C2 + C3 + ...

equivalent capacitance = 4.20 uf + 8.50 uf

equivalent capacitance = 12.70 uf

B. In series

When the capacitors are placed in series, the formula for the equivalent capacitance is:

equivalent capacitance = 1 / (1/C1 + 1/C2 + 1/C3 + ...)

equivalent capacitance = 1 / (1/4.20 + 1/8.50)

equivalent capacitance = 2.81 uf

For capacitors in parallel, the equivalent capacitance is the sum of individual capacitances, so we get 12.70 µF. For capacitors in series, we calculate using the reciprocal formula and get approximately 2.79 µF.

To solve this problem, we need to know the formulas to calculate capacitance in a series and parallel circuit. For capacitors in parallel, the total equivalent capacitance (Ceq) is the sum of the capacitors, so Ceq = C1 + C2, where C1 and C2 are the capacitances of your individual capacitors. Here, C1 is 4.20 µF and C2 is 8.50 µF. So, Ceq = 4.20 µF + 8.50 µF which equals 12.70 µF.

For capacitors in a series connection, the total equivalent capacitance is calculated using the reciprocal formula: 1/Ceq = 1/C1 + 1/C2. So, 1/Ceq = 1/4.20 µF + 1/8.50 µF. Solving for Ceq gives us an equivalent capacitance of about 2.79 µF.

https://brainly.com/question/31871398

#SPJ6

The time they will be 1200 mi apart is [tex]\(12:00 PM + \frac{1200}{2S + 30}\)[/tex] hours.


Let's denote the speed of the slower plane as [tex]\(S\) (in mi/h)[/tex]. The faster plane, which is flying east, will have a speed of [tex]\(S + 30\) mi/h[/tex].

The relative speed between the two planes is the sum of their individual speeds:

[tex]\[ \text{Relative speed} = S + (S + 30) = 2S + 30 \, \text{mi/h} \][/tex]

Now, we know that the planes leave at noon, and we want to find the time it takes for them to be 1200 mi apart. Let t be the time in hours.

The distance traveled by the slower plane in t hours is [tex]\(S \cdot t\)[/tex], and the distance traveled by the faster plane is [tex]\((S + 30) \cdot t\)[/tex]. The sum of these distances is the total distance between the planes:

[tex]\[ S \cdot t + (S + 30) \cdot t = 1200 \][/tex]

Combine like terms:

[tex]\[ 2S \cdot t + 30 \cdot t = 1200 \][/tex]

Factor out t:

[tex]\[ t(2S + 30) = 1200 \][/tex]

Now, solve for t:

[tex]\[ t = \frac{1200}{2S + 30} \][/tex]

We know that when t is the time, it should be in hours, and we want to find at what time they will be 1200 mi apart. If they leave at noon, the time will be [tex]\(12:00 PM\) + \(t\) hours[/tex].

So, the time they will be 1200 mi apart is [tex]\(12:00 PM + \frac{1200}{2S + 30}\)[/tex] hours.

The density of water is 1.00 g/cm3, then in kilograms per centimeter cube unit, its density would be 1000 kg/m³.

It can be defined as the mass of any object or body per unit volume of the particular object or body. Generally, it is expressed as in gram per cm³ or kilogram per meter³.

As given in the problem we have to calculate the density of water in kilogram per centimeter cube,

1 cm³ = 1×10⁻⁶ m³

1 gram = 1×10⁻³ kg

The density of the water= mass of the water /volume of the water

                                 =1.00 g/cm3

                                 =1×10⁻³ kg /1×10⁻³ kg

                                 =1000 kg/m³

Thus, if the density of water is 1.00 g/cm3, then in kilograms per centimeter cube unit its density would be 1000 kg/m³.

Learn more about density from here,

brainly.com/question/15164682

#SPJ2

The answer is A 00.2

Answer:

False

Explanation:

The observers will detect different frequencies based whether the source is approaching them or receding from them. Based on the location of observer, the source may either approach the observer or recede from the observer.

If the source is receding

[tex]f_{observed}=f_{source}(\frac{v}{v+v_{source}} )[/tex]

if the source is approaching

[tex]f_{observed}=f_{source}(\frac{v}{v- v_{source}} )[/tex]

For example, consider a scenario where an ambulance moves from west to east.

There are two observers one located west of the ambulance and other located east of the ambulance The ambulance is receding from the west side observer and approaching the east side observer.

The observer west of the ambulance will hear lower pitch and the observer eat of the ambulance will hear higher pitch.

The part of the neuron that houses the nucleus and other cell parts is the cell body that is in Option c, as the cell body, also known as the soma, is a central part of a eukaryotic cell.

The cell body includes the nucleus and other organelles like the mitochondria, endoplasmic reticulum, Golgi apparatus, and cytoplasm. The cell body is the main site for the metabolic and biochemical processes of the cell, and it is responsible for maintaining the integrity of the cell and regulating its activities. In the case of neurons, the cell body also contains the genetic information of the neuron in the form of DNA, which is used to synthesize the proteins and other molecules needed for the growth, repair, and maintenance of the neuron.

Hence, the part of the neuron that houses the nucleus and other cell parts is the cell body that is in Option c.

Learn more about the cell body here.

https://brainly.com/question/16932346

#SPJ7

49d

This case is about uniformly accelerated motion.

Given:

The initial speed was v takes distance d to stop after the brakes are applied.

Question:

What is the stopping distance if the car is initially traveling at speed 7.0v?

Assume that the acceleration due to the braking is the same in both cases. Express your answer using two significant figures.

The Process:

The list of variables to be considered is as follows.

The formula we follow for this problem are as follows:

[tex]\boxed{ \ v^2 = u^2 + 2ad \ }[/tex]

Step-1

We substitute v as the initial speed, distance of d, and zero for final speed into the formula.

[tex]\boxed{ \ 0 = v^2 + 2ad \ }[/tex]

[tex]\boxed{ \ v^2 = -2ad \ }[/tex]

Both sides are divided by -2d, we get [tex]\boxed{ \ a = \Big( -\frac{v^2}{2d} \Big) \ . . . \ (Equation-1) \ }[/tex]

Step-2

We substitute 7.0v as the initial speed, zero for final speed, and Equation-1 into the formula.

[tex]\boxed{ \ 0 = (7.0v)^2 + 2 \Big( -\frac{v^2}{2d} \Big)d' \ }[/tex]

Here d' is the stopping distance that we want to look for.

[tex]\boxed{ \ 2 \Big( \frac{v^2}{2d} \Big)d' = (7.0v)^2 \ }[/tex]

We crossed out 2 in above and below.

[tex]\boxed{ \ \Big( \frac{v^2}{d} \Big)d' = 49.0v^2 \ }[/tex]

We multiply both sides by d.

[tex]\boxed{ \ v^2 d' = 49.0v^2 d \ }[/tex]

We crossed out v^2 on both sides.

[tex]\boxed{\boxed{ \ d' = 49.0d \ }}[/tex]

Hence, by using two significant figures, the stopping distance if the car is initially traveling at speed 7.0v is 49d.

Keywords: a car traveling at speed v, takes distance d to stop after the brakes are applied, the stopping distance, if the car is initially traveling at speed 7.0v, the acceleration due to the braking is the same, two significant figures.

The stopping distance when a car is initially traveling at speed 7.0v is (7.0v^2)/d.

To determine the stopping distance when a car is initially traveling at speed 7.0v, we can use the fact that the acceleration due to braking is the same in both cases. Since the distance it takes to stop at speed v is d, we can set up a proportion: v/d = 7.0v/x, where x represents the stopping distance when the car is initially traveling at speed 7.0v. We can solve for x by cross multiplying and then dividing: x = (7.0v^2)/d. Therefore, the stopping distance when the car is initially traveling at speed 7.0v is (7.0v^2)/d.

https://brainly.com/question/33440464

#SPJ3

Final answer:

The linear velocity of a tooth at the edge of the 14 inch diameter blade on a typical table saw can be calculated by converting the blade's rotational speed from revolutions per minute to radians per second and using the formula for linear velocity. The calculated value will give the speed of the tooth in miles per hour.

Explanation:

To calculate the linear velocity of a tooth at the edge of the blade, we need to first convert the blade's rotational speed from revolutions per minute to radians per second. We can do this by multiplying the revolutions per minute (rpm) by 2π (since there are 2π radians in one revolution) and dividing by 60 (to convert minutes to seconds). So, the angular velocity of the blade is:

ω = (3300 rpm) x (2π rad/rev) / (60 s/min)

Next, we can use the formula for linear velocity to find the speed of a point on the edge of the blade. The formula is:

v = ω x r

where v is the linear velocity, ω is the angular velocity, and r is the radius. In this case, the blade has a diameter of 14 inches, so the radius is half of that, which is 7 inches or 0.5833 feet. Converting this to miles, we get:

r = 0.5833 ft x (1 mile/5280 ft)

Finally, we can substitute the values into the formula:

v = (3300 rpm) x (2π rad/rev) / (60 s/min) x 0.5833 ft x (1 mile/5280 ft)

Calculating this equation gives the linear velocity of a tooth at the edge of the blade.

Answer:

range and angle of launch

Explanation:

Let the horizontal component of velocity be VCosθ = Vx and the vertical component of velocity is VSinθ = Vy.

Here , θ be the angle of projection.

So, if we divide the VSinθ by VCosθ, we get the value of Tanθ, i.e., we get the value of angle of launch.

Now we know that the formula fr the range is given by

[tex]R = \frac{V^{2}\times Sin2\Theta }{g}[/tex]

We can write it as

[tex]R = \frac{V^{2}\times 2\times Sin\Theta \times Cos\Theta }{g}[/tex]

Again we rewrite as

[tex]R = \frac{2\times Vx\times Vy}{g}[/tex]

It shows that the range also depends on the horizontal and vertical component of velocity.

Final answer:

The object's velocity remains constant as it covers the same distance each second, implying that the acceleration is zero (0 m/s^2). So the correct option is A.

Explanation:

The question relates to constant velocity and acceleration and to identifying the acceleration of an object moving 10 meters each second for three seconds. Since the object travels the same distance in each second, it means that its velocity remains constant. Therefore, the rate of change of velocity, which is acceleration, is zero. The correct answer to the question is A) 0 m/s2. To understand this, consider the definition of acceleration: a change in velocity over some time. Since there is no change in velocity here (the object keeps moving at a constant rate), there is no acceleration.

Answer:

Heat is most closely related to THERMAL ENERGY.

Explanation:

As we know that heat is a dynamic nature of energy in which heat will flow from high temperature to low temperature.

As we know that thermal energy is the energy due to the kinetic energy of all molecules of the given system

This thermal energy is exchanged from one system to other system only due to the temperature gradient.

So here heat always flows from high temperature system to low temperature system.

So here correct answer would be

Heat is most closely related to THERMAL ENERGY.

The landing speed of the airplane is 1.5 m/s.

The question is asking for the landing speed of an airplane given its landing time and the distance traveled on the airstrip. To find the landing speed, we can use the formula:

Speed = Distance / Time

Plugging in the values given:

Using the formula:

Landing Speed = 45 m/s / 30 s = 1.5 m/s

Therefore, the landing speed of the airplane is 1.5 m/s.

https://brainly.com/question/33602393

#SPJ12

The question pertains to the deceleration of an airplane after it lands, specifically calculating the final velocity given an initial velocity and a constant deceleration over a certain time span.

The student's question is related to the deceleration of an airplane after landing. An airplane that lands with an initial velocity of 70.0 m/s, and then decelerates at 1.50 m/s2 for 40.0 s, will have a final velocity that can be calculated using the following formula: final velocity = initial velocity + (acceleration × time). Here, the acceleration is negative because it is opposite the direction of motion (deceleration).

In the example given, if an airplane lands with a velocity of 70.0 m/s and decelerates at 1.50 m/s2, the final velocity after 40 seconds can be found by:

Final Velocity = 70.0 m/s - (1.50 m/s2 × 40.0 s) = 70.0 m/s - 60.0 m/s = 10.0 m/s. The plane would slow down to 10.0 m/s before heading to the terminal.

One student uses a flask held up at eye level to measure liquids for the experiment.

The second student measuring the liquids for the experiment while the flask is on the table will probably cause the largest amount of inaccuracy, hence option C is the right response.

Scientific claims are statements made in science based on an experiment.

As given in the problem statement One student uses a flask held up at eye level to measure liquids for the experiment.

The other student measuring the experiment's liquids while the flask is on the table is most likely to introduce the highest amount of mistakes.

Thus, therefore the correct answer is option C.

To learn more about the scientific claims here, refer to the link;

brainly.com/question/11088441

#SPJ2

The maximum height reached by the arrow shot vertically at 60 meters per second is 183.67 meters. Upon returning to the ground, the arrow's velocity will be -60 meters per second.

The student is dealing with a problem that involves projectile motion, a topic within physics. To calculate the maximum height the arrow reached when shot vertically into the sky at a velocity of 60 meters per second, we use the kinematic equation that ignores air resistance:

Maximum height (h) = (v^2) / (2g)

where v is the initial velocity and g is the acceleration due to gravity (9.8 m/s^2). Substituting the given values:

h = (60^2) / (2*9.8) = 3600 / 19.6 = 183.67 meters

The maximum height reached by the arrow is 183.67 meters. When the arrow hits the ground, the velocity will be the same as the initial velocity in magnitude but in the opposite direction, so the velocity of the arrow when it hits the ground is -60 meters per second (the negative sign indicates the direction is downward).

the correct answer is A  *LOWER*

Answer:

8.5 m/s

Explanation:

The acceleration of the car is the ratio of its change in velocity to the change in time. The acceleration of the car is  6 m/s².

Acceleration of a moving body is the rate of change in its velocity. Acceleration is a vector quantity and is characterised by a magnitude and direction. The change in magnitude or direction or both in velocity results in an acceleration of for the body.

Acceleration is the ratio  of the change in a velocity to the change in time. Hence the expression relating the time, velocity and acceleration is given by,

a = U - V/ t0 - T

Where, u be the initial velocity and v is final velocity. T0 is initial time and T be the final time .

Given that the car is starts from rest. Hence initial time and velocity is zero. The final velocity is 42 m/s and time is 7 seconds.

Then, acceleration = velocity / time

                          =  42 m/s / 7 s = 6 m/s².

Therefore, the acceleration of the car is  6 m/s².

To find more on acceleration, refer here:

https://brainly.com/question/3046924

#SPJ5

1. Some wooden rulers do not start with 0 at the edge, but have it set on a few millimeters because the cut of the woof alters the length of the first measures. Moreover, some objects are difficult to be aligned on the ruler, thus, in order to remove this difficulty, some wooden rulers do not start with 0 at the edge.

2. The micrometer has been badly bent which means that it will not measure properly and will not be perfectly parallel with the surface to be measured. This distortion will  change its precision. The device should be parallel with the surface to be measured in order to maintain its accuracy.

3. No, the parallax will not affect the precision of a measurement that we take as precision  is the closeness of the readings and the readings are already precise, thus taking the reading with the same parallax won't impair the precision but decreases the accuracy.

4. Length of box=18.1 cm, width= 19.2 cm and height=20.3 cm, then the a.volume=length×width×height

=[tex]18.1{\times}19.2{\times}20.3[/tex]

=[tex]7050cm^{3}[/tex]

b. The reading of the length is precise to 0.1 centimeters, while the volume's reading is precise to 10 cm³.

c. The stack of 12 of the boxes has height=[tex]12{\times}19.3[/tex]

=[tex]232cm[/tex]

d.The measure of one box is precise to 0.1 cm, while the measurement of the combined boxes is precise to 1 cm.

Answer:

The statement is true. The vestibulo-ocular reflex ensures stable vision by moving the eyes in the opposite direction of the head.

Explanation:

The vestibulo-ocular reflex is a reflection of ocular movement that stabilizes the image in the retina during the movement of the head, producing an eye movement in the opposite direction to the movement of the head, conserving the image in the center of the visual field. For example, when the head moves to the right, the eyes move to the left, and vice versa. As there are slight movements of the head at all times, the RVO is very important to stabilize the vision: patients who have damaged RVO find it difficult to read printed media, because they can not stabilize the eyes during small tremors of the head.

Most known extrasolar planets resemble Earth, with a significant number also resembling what we call "super Earths", or planets with two to ten times the mass of Earth. Our solar system may be unusual, with many systems potentially hosting Earth-like planets closer to their respective stars.

The student asks which planet most known extrasolar planets most resemble. Based on the available data from missions like Kepler, it is clear that the majority of these extrasolar planets or exoplanets most closely resemble Earth. Analyses of the data show that small planets, like the terrestrial ones in our system, are much more common than giant ones. Also relatively common are the so-called "super Earths", which are planets with two to ten times the mass of our planet. In this respect, it is important to note that our solar system may actually be unusual in the organization and types of its planets, and that a large number of planetary systems in our galaxy could potentially host Earth-like planets closer to their star.

https://brainly.com/question/32889401

#SPJ12