Why is the sun so much bigger & brighter than the other stars in the sky?

Apply hooke's law

\(\\ \rm\rightarrowtail F=kx\)

\(\\ \rm\rightarrowtail 1176=k(0.0075)\)

\(\\ \rm\rightarrowtail k=156800N/m\)

#b

We need mass again

\(\\ \rm\rightarrowtail F=kx\)

\(\\ \rm\rightarrowtail mg=kx\)

\(\\ \rm\rightarrowtail 9.8m=156800(0.0048)\)

\(\\ \rm\rightarrowtail 9.8m=752.64\)

\(\\ \rm\rightarrowtail m=76.8kg\)

(a) The frequency of its rotation 0.25 Hz.

(b) The velocity is 1.57 m/s.

(c) The acceleration is 2.44 m/s².

The frequency of an object's rotation is the number of complete rotations it makes in a given amount of time.

frequency (f) = 1/period (T)

In this case, the period of the object's rotation is 4.0 seconds, so the frequency is:

f = 1/T = 1/4.0

f  = 0.25 Hz

The velocity of an object rotating in a circle can be calculated using the formula:

velocity (v) = 2πfr

where;

v = 2π x 1 x 0.25

v =  1.57 m/s

The acceleration is calculated as;

a = v² / r

a = (1.57²) / 1.0

a = 2.44 m/s²

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Answer:

the correct one is 3

Explanation:

The magnetic force is described by the expression

         F = q v x B

The bold indicate vectors, q is the charge, v the velocity and B the magnetic induction

This expression can be written in scalar form

        F = q v B sin θ

where θ is the angle between velocity and induction.

The direction of the force is perpendicular to the vectors.

When revising this expression the force depends on the electric charge, the speed of the particle and the induction of the magnetic field

therefore, checking the possible answers, the correct one is 3

Answer: Limiting reactant

Explanation:

The limiting reactant is a reactant will get completely consumed up in the reaction. This reactant being in low concentration will lead to the formation of limited amount of product.

In the given situation, since the butter cakes are required to be 3 sticks for making 3 cakes but only 2 cakes are available thus the butter stick is the limiting reactant.

Answer:

v_f = -7.5 m / s

Explanation:

Let's analyze this exercise a little, two forces that act on a body for different time intervals are indicated, each force creates an impulse and since this is a vector quantity we must add in the form of vectors. The net momentum is

we assume that the direction to the right is positive

             I = I₁ + I₂

             I = F₁ Δt₁ - F₂ Δt₂

             I = 3  1.5 - 4  3

             I = -7.5   N s

now let's use the relationship between momentum and momentum, suppose the object starts from rest (vo = 0)

             I = Δp

             I = m (v_f - v₀)

             v_f = I / m

              v_f = -7.5 / m

to finish the calculation we must assume a mass m = 1 kg

              v_f = -7.5 m / s

the negative sign in the body is moving to the left

To construct an open rectangular box with maximum volume, the dimensions should be such that the length, width, and height are equal.

To find the dimensions that result in a box of maximum volume, we need to consider the relationship between the dimensions and the volume of the box. Let's assume the length of the box is L, the width is W, and the height is H. Since the box is open, it does not have a top surface.

The volume of a rectangular box is given by the formula V = L * W * H. However, in this case, we have a constraint that the material used to construct the box has a fixed amount, so the total surface area of the box must be constant. The surface area of an open rectangular box is given by A = 2LW + LH + WH.

To find the dimensions that maximize the volume, we need to find the critical points of the volume function. By applying the constraint of constant surface area, we can express one of the dimensions in terms of the other two using the surface area formula. Substituting this expression into the volume formula, we obtain a function that depends on two variables. Taking the derivative of this function and setting it to zero, we can solve for the critical points.

By solving the equations, we find that the dimensions resulting in a box of maximum volume are when the length, width, and height are all equal. In other words, the box is a cube. This is because a cube maximizes the volume within the given constraints, as any deviation from equal dimensions would result in a smaller volume.

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Answer:

r = 2.55 m

Explanation:

Given that,

First charge, q₁ = 32.2 μC

Second charge, q₂ = + 12.3 μC

The force between charges, F = 0.544 N

We need to find the distance between charges. The force between two charges is given by the formula as follows :

\(F=k\dfrac{q_1q_2}{r^2}\\\\r=\sqrt{\dfrac{kq_1q_2}{F}} \\\\r=\sqrt{\dfrac{9\times 10^9\times 32.2\times 10^{-6}\times 12.3\times 10^{-6}}{0.544}} \\\\r=2.55\ m\)

So, the charges are 2.55 m apart.

Answer:

2.55

Explanation:

Right on Acellus

Give the other guy brainliest

You can only give brainliest if 2 people answer

Answer:

Any object moving in a circle (or along a circular path) experiences a centripetal force. That is, there is some physical force pushing or pulling the object towards the center of the circle. This is the centripetal force requirement.

Explanation:

The time taken for the coffee to cool from 93°C to 73°C is approximately 36.1 minutes.

The cooling law is given by:

$$\frac{dQ}{dt}=-k(T-T_0)$$

where Q is the heat in the object, t is the time taken, T is the temperature of the object at time t, T0 is the temperature of the environment and k is a constant known as the cooling constant.

We need to find the time it takes for the coffee to reach a drinking temperature of 73°C given that its initial temperature is 93°C.

Therefore, we need to find the time it takes for the coffee to cool down from 93°C to 73°C when placed in a room temperature of 18°C.

Let’s assume that the heat energy that is lost by the coffee is equal to the heat energy gained by the environment. We can express this as:

dQ = - dQ where dQ is the heat energy gained by the environment.

We can substitute dQ with C(T-T0) where C is the specific heat capacity of the object.

We can rearrange the equation as follows:

$$-\frac{dQ}{dt}=k(T-T_0)$$

$$-\frac{d}{dt}C(T-T_0)=k(T-T_0)$$

$$\frac{d}{dt}T=-k(T-T_0)$$

The differential equation above can be solved using separation of variables as follows:

$$\frac{d}{dt}\ln(T-T_0)=-k$$

$$\ln(T-T_0)=-kt+c_1$$

$$T-T_0=e^{-kt+c_1}$$

$$T=T_0+Ce^{-kt}$$

where C = e^(c1).

We can now use the values given to find the specific value of C which is the temperature difference when t=0, that is, the temperature difference between the initial temperature of the coffee and the room temperature.

$$T=T_0+Ce^{-kt}$$

$$73=18+C\cdot e^{-0.09t}$$

$$55=C\cdot e^{-0.09t}$$

$$C=55e^{0.09t}$$

$$T=18+55e^{0.09t}$$

We can now solve for the value of t when T=93 as follows:

$$93=18+55e^{0.09t}$$

$$e^{0.09t}=\frac{93-18}{55}$$

$$e^{0.09t}=1.3636$$

$$t=\frac{\ln(1.3636)}{0.09}$$

Using a calculator, we can find that the time taken for the coffee to cool from 93°C to 73°C is approximately 36.1 minutes.

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Blood travels throughout the body as follows:

Circulation is the continuous movement of blood throughout the body by the circulatory system. It consists of the heart, blood vessels (arteries, veins, and capillaries), and blood. The heart acts as a pump, sending oxygen-rich blood through the arteries to the body's cells, and then returning oxygen-depleted blood through the veins back to the heart.

The exchange of oxygen, nutrients, and waste products between the blood and cells occurs through the capillaries. This continuous flow of blood helps to maintain the body's functions and overall health.

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For a hash table, open addressing is the collision-resolving strategy with which it is possible to have a load factor of λ = 2.5.

Explanation:

What is a hash table?

A hash table is a data structure that maps keys to values. It can be thought of as a dictionary or a map. In a hash table, the keys are unique, and they are used to access the corresponding values. The hash function takes the key as input and generates a hash code. The hash code is used to compute the index of the corresponding value in the array.

There are several collision-resolving strategies for hash tables, including chaining and open addressing. Chaining involves creating a linked list for each slot in the array. If two keys hash to the same index, they are added to the same linked list. Open addressing involves finding an empty slot in the array by probing. There are several ways to probe, including linear probing and quadratic probing. Linear probing involves incrementing the index by 1 until an empty slot is found. Quadratic probing involves incrementing the index by a quadratic function until an empty slot is found.

Calculating load factor:

The load factor of a hash table is the number of elements stored in the table divided by the number of slots. It is a measure of how full the table is. A high load factor means that the table is almost full, and it is more likely that collisions will occur. A low load factor means that the table is relatively empty, and it is less likely that collisions will occur. The ideal load factor depends on the specific application.

In conclusion, for a hash table, open addressing is the collision-resolving strategy with which it is possible to have a load factor of λ = 2.5.

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Answer:

because it helps data to be meaningful

Explanation:

I took a test and and got 100%

No, the sun cannot explain global warming. Global warming is a phenomenon in which the temperature of the Earth's surface and atmosphere is rising continuously due to human activities such as deforestation, burning of fossil fuels, and industrialization.

This increase in temperature cannot be explained only by an increase in solar radiation.There are several factors which contribute to global warming, including greenhouse gases such as carbon dioxide, methane, and water vapor. These gases trap heat in the Earth's atmosphere, which causes the planet's temperature to rise. The sun's radiation does contribute to global warming, but it is not the main cause.

i) To calculate the increase in solar radiation that would cause the Earth to warm up by 1 K, we can use the following formula:ΔS = ΔT / αWhere ΔS is the increase in solar constant, ΔT is the increase in temperature, and α is the Earth's albedo (reflectivity).α = 0.30 is the standard value used for the Earth's albedo.ΔS = ΔT / αΔS = 1 K / 0.30ΔS = 3.33 W/m2So, to explain the increase in temperature of 1 K over the last hundred years, the solar constant would need to increase by 3.33 W/m2.

ii) The observed fluctuation of the solar constant over the past 400 years has been around 0.1% to 0.2%. This is much smaller than the 3.33 W/m2 required to explain the increase in temperature of 1 K over the last hundred years. Therefore, it is unlikely that the sun is the main cause of global warming.

The sun cannot explain global warming. While the sun's radiation does contribute to global warming, it is not the main cause. The main cause of global warming is human activities, particularly the burning of fossil fuels, which release large amounts of greenhouse gases into the atmosphere.

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The friction force on the filing cabinet is 235.2N, which is greater than the force that Bob is exerting on it, resulting in the cabinet not moving.

The magnitude of the friction force on the filing cabinet can be determined using the formula for static friction, which is Fs = usFn, where Fs is the force of static friction, us is the coefficient of static friction, and Fn is the normal force. In this case, the normal force is equal to the weight of the filing cabinet, which is 30kg multiplied by the acceleration due to gravity (\(9.8m/s^2\)), giving a value of 294N. Therefore, the force of static friction is Fs = 0.80 x 294N, which is equal to 235.2N. Since the filing cabinet is not moving, the force of static friction must be equal in magnitude to the force that Bob is exerting on it, which is 200N.

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The term cell is incorrect because, the average voltage of a cell is 3.40 V and as already mentioned in question, the volt of source is 18 V, so cell couldn't be the appropriate word, actually the source is battery.

Now, the source is most likely related to cell because a battery which is the source here, is made up of a "group of cell".

The student notices that the electronic balance has a zero error, so it shows mass readings that are all slightly too small. This means that the density value is incorrect and slightly too small. The correct option is B.

The density is the ratio of the mass and the volume of the object. It is denoted by ρ.

ρ = mass/Volume = m/V

The student notices that the electronic balance has a zero error, so it shows mass readings that are all slightly too small.

As mass is directly proportional to density. The density will also be slight small when mass reading are all slightly small.

Thus, the correct option is B.

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Answer:

Example Item Description of potential-kinetic energy conversion

Example Book The book had potential energy when it was on the table. Then as the book fell off the table, it was in motion and had kinetic energy.

1 ball The ball had potential energy because it was in one place. Then it rolled off the counter and it was kinetic energy.

2 Paper airplane  The airplane was sitting on the table in had potential energy until I picked it up and threw it which made it kinetic energy.  

3 Chips  Chips were in the closet sitting on the shelf which is potential energy and one fell of the shelf which made it kinetic energy.

4 Clock  I put my clock on the wall which is potential energy and then a few days later it fell off which is kinetic energy.

5 water I had water sitting in a cup which is potential energy the I grabbed it and spilled which makes the water kinetic energy.

Explanation:

The speed of the  Toyota Corolla would have  been 143.9 mph.

The acceleration of the F-15 can be calculated as follows:

Acceleration = Velocity Change / Time = (Take-off Speed) / Time

where;

Take-off Speed = √(2dg /t²)

Take-off Speed = √(2 x  (270 ft)  x 32.2 ft/s² / (2 s)²)

T  = √(17496) = 131.6 ft/s

Acceleration = Velocity Change / Time

= (131.6 ft/s) / (2 s) = 65.8 ft/s²

We can use the same acceleration to launch the Toyota Corolla, and calculate its final velocity:

Final Velocity = Initial Velocity + Acceleration x Time

where;

Final Velocity = 0 + (65.8 ft/s²) * (2 s) = 131.6 ft/s

Finally, we can convert the velocity from feet per second to miles per hour:

Velocity (mph) = Velocity (ft/s) x (1 hour/3600 s) x (5280 ft/mile)

= 131.6 ft/s x  (1 hour/3600 s)  x (5280 ft/mile)

= 143.9 mph

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Answer:

rubber/silicone

Explanation: rubber and silicone are found in wire coverings to block the copper wires from contacting other organisms, therefore rubber and silicone is most resistant.

The magnitude of the force on the wire is 1.9 × 10⁻⁴ N. The direction of the current is 50° south of the west. 1.9×10 N⁻⁴, out of the Earth's surface is the correct option.

Length of the horizontal wire, L = 3.0 m

Current flowing through the wire, I = 6.0 A

Earth's magnetic field, B = 0.14 × 10⁻⁴ T

Angle made by the current direction with due west = 50° south of westForce on a current-carrying wire due to the Earth's magnetic field is given by the formula:

F = BILsinθ, where

L is the length of the wire, I is the current flowing through it, B is the magnetic field strength at that location and θ is the angle between the current direction and the magnetic field direction

Magnitude of the force on the wire is

F = BILsinθF = (0.14 × 10⁻⁴ T) × (6.0 A) × (3.0 m) × sin 50°F = 1.9 × 10⁻⁴ N

Earth's magnetic field is due north, the direction of the force on the wire is out of the Earth's surface. Therefore, the correct option is 1.9×10 N⁻⁴, out of the Earth's surface.

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Part 1: The number of pathways in a circuit determines the possible routes for electric current to flow.

There are maximum of five pathways in this circuit, depending on its complexity and the arrangement of components.

Part 2: Determining whether the circuit is series or parallel requires more information.

In a series circuit, components are connected in a single path, and the current flows through each component sequentially.

If the circuit has only one pathway (zero or one pathway), it suggests a series circuit.

However, if the circuit has multiple pathways (two or more pathways), it indicates a parallel circuit.

To conclusively determine the circuit's nature, we need to analyze the circuit diagram or obtain additional details regarding the component connections and their interactions.

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Answer:

\(d=2.77\cdot 10^6\ Km\)

Explanation:

Speed

The speed is calculated as the ratio of the distance d by the time t:

\(\displaystyle v=\frac{d}{t}\)

If we need to calculate the distance, the equation is solved for d:

d=v*t

The speed of light is

\(v=3\cdot 10^5\ Km/s\)

It takes t=9.221 seconds for light reflected from the moon Vega to reach planet Xartan.

We can calculate the average distance the light traveled:

\(d=3\cdot 10^5\ Km/s*9.221\)

\(d=2,766,300\ Km\)

Or, in scientific notation:

\(\mathbf{d=2.77\cdot 10^6\ Km}\)

Table G is a representation of y, or the distance Pamela rode riding bike in x minutes. Pamela's average speed is the rate at which she moves consistently. Average speed is calculated as total distance minus total

The total distance traveled must be divided by the total amount of time it took to complete that distance in order to determine average speed. Speed refers to a thing's rate of movement at a particular moment. The term  Average speed describes the speed that a journey will typically go at.

Understanding average speed will help you better comprehend the pace of a travel. On a travel, the speed could occasionally change. Finding the average speed then becomes crucial to getting an idea of how quickly the route will be finished.

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The final speed of a 3.7 kg object that is applied a force by an apparatus for a distance of 9 meters is 3.65 m/s.

To find the final speed of the object, we need to apply Newton's second law of motion and use the work-energy principle. The work done on an object is equal to the change in its kinetic energy.

Given that:

Mass of the object (m) = 3.7 kg

Distance traveled (x) = 9 m

Force function (F(x)) = Bx' + bx - c, where B = 1, b = 2, and c = 4

First, let's find the net force acting on the object:

The net force (F_net) is equal to the derivative of the force function with respect to distance (F(x')):

F_net = Bx' + bx - c

Now, using Newton's second law of motion, we know that F_net = ma, where a is the acceleration of the object. Since the object is initially at rest, the acceleration is the derivative of the velocity (v').

F_net = ma = m(v')

Substituting the values we have:

Bx' + bx - c = m(v')

Next, let's integrate both sides of the equation with respect to distance (x) to find the velocity (v):

∫(Bx' + bx - c) dx = ∫(m(v')) dx

Integrating Bx' with respect to x gives: Bx

Integrating bx with respect to x gives: (b/2)x²

Integrating -c with respect to x gives: -cx

Integrating m(v') with respect to x gives: mv

Putting it all together, we have:

Bx + (b/2)x² - cx = mv

Now, we can solve for v by rearranging the equation:

mv = Bx + (b/2)x² - cx

Dividing both sides by m:

v = (Bx + (b/2)x² - cx) / m

Substituting the given values:

v = (1 × 9 + (2/2) × 9² - 4 × 9) / 3.7

Simplifying:

v = (9 + (1/2) × 81 - 36) / 3.7

v = (9 + 40.5 - 36) / 3.7

v = 13.5 / 3.7

v = 3.65 m/s

Therefore, the final speed of the object is approximately 3.65 m/s.

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The time taken for the spider crawling at 630 ft/hr to travel through the 15 ft wide room is 42 hours

From the formula of speed, we can obtain a formula for calculating time as illustrated below:

Speed = Distance / time

Cross multiply

Speed × time = Distance

Divide both sides by speed

Time = Distance / speed

Using the above formula, we can obtain the time taken from the spider to travel through the room. Details as follow:

Time = Distance / speed

Time = 630 / 15

Time = 42 hours

From the calculation made above, we can conclude that the time taken is 42 hours

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When you decrease the distance to the nut, the lever arm also decreases. Hence the correct option is "It decreases".

This is because the lever arm is the perpendicular distance between the axis of rotation and the line of action of the force. In this case, the axis of rotation is the nut and the force is applied at a point closer to the nut. As the distance between the force and the nut decreases, the lever arm also decreases.

This relationship between distance and lever arm is important in understanding how levers work. A longer lever arm allows for greater torque or rotational force to be applied with the same amount of force. Conversely, a shorter lever arm requires more force to generate the same amount of torque. By decreasing the distance to the nut, you are effectively shortening the lever arm and therefore reducing the torque that can be applied.

Understanding the relationship between distance and lever arm can be useful in a variety of contexts, such as in engineering, physics, and even sports. It can help in designing more efficient machines or in understanding how to optimize physical movements for maximum performance.

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Explanation:

Hey there!!!

As sound is a mechanical wave,it requires the medium to propagate. The most common waves are:

Hope it helps..

1. The x component of the force is 4.4 N

2. The y component of the force is 3.5 N

The following data were obtained from the question:

1. How to determine the x component

x component = FCosθ

x component = 5.6 × Cos 39

x component = 4.4 N

2. How to determine the y component

y component = FSineθ

y component = 5.6 × Sine 39

y component = 3.5 N

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