Consider a particle travelling along the path given by c=(2sin(4t),2cos(4t),6). Here t denotes time. (a) Find the velocity and the speed of the particle. (b) Find the unit tangent vector T(t), the principal normal vector N(t) and the binormal vector B(t) at time t. (c) Find the curvature κ(t) and the torsion τ(t) at time t.

Average number of team members who reached their goal per day = 4.2

Number of team members that reached their goals on Monday = 5

Number of team members that reached their goals on Tuesday = 4

Number of team members that reached their goals on Wednesday = 2

Number of team members that reached their goals on Thursday = 7

Number of team members that reached their goals on Friday = 3

Total number of team members that reached their goals = 5 + 4 + 2 + 7 + 3

Total number of team members that reached their goals = 21

Average number of team members who reached their goal per day = 21/5

Average number of team members who reached their goal per day = 4.2

Answer:

Hey mate

Your answer will be 5 N Upwards.

I will explain this to you.

In the attachment we can see that there are two forces acting on the object from the same side. And we know that when force acts from the same direction. Then the total force

=> sum of all the forces in that particular direction.

I hope you got it :)

TheSarcasmic

Answer:

The gravitational potential energy of a squirrel is 53.312 J.

Explanation:

We have,

Mass of a squirrel is 0.68 kg

It is placed at a height of 8 m above the ground.

It is required to find the gravitational potential energy of a squirrel. It is possessed by an object due to its position. Its formula is given by :

\(E=mgh\\\\E=0.68\times 9.8\times 8\\\\E=53.312\ J\)

So, the gravitational potential energy of a squirrel is 53.312 J.

The increase in potential energy of his mother if her mass is 56.0 kg will be 6031.97 J.

The energy that an item has due to its location in a gravitational field is known as gravitational potential energy.

The potential energy increases by 3773 J

PE₂-PE₁=mg(h₂-h₁)

3773 J = 35.0 × 9.81 × (h₂-h₁)

(h₂-h₁) = 10.98

Case 2 ;

ΔPE =?

ΔPE=mg(h₂-h₁)

ΔPE=56.0 × 9.81 ×10.98

ΔPE=6031.97 J.

Hence, the increase in potential energy of his mother if her mass is 56.0 kg will be 6031.97 J.

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Answer:

Solids :A solid has a definite shape and volume because the molecules that make up the solid are packed closely together and move slowly. Solids are often crystalline; examples of crystalline solids include table salt, sugar, diamonds, and many other minerals. Solids are sometimes formed when liquids or gases are cooled; ice is an example of a cooled liquid which has become solid. Other examples of solids include wood, metal, and rock at room temperature.  Liquids : A liquid has a definite volume but takes the shape of its container. Examples of liquids include water and oil. Gases may liquefy when they cool, as is the case with water vapor. This occurs as the molecules in the gas slow down and lose energy. Solids may liquefy when they heat up; molten lava is an example of solid rock which has liquefied as a result of intense heat.  Gases : A gas has neither a definite volume nor a definite shape. Some gases can be seen and felt, while others are intangible for human beings. Examples of gases are air, oxygen, and helium. Earth's atmosphere is made up of gases including nitrogen, oxygen, and carbon dioxide.  Plasma: Plasma has neither a definite volume nor a definite shape. Plasma often is seen in ionized gases, but it is distinct from a gas because it possesses unique properties. Free electrical charges (not bound to atoms or ions) cause the plasma to be electrically conductive. The plasma may be formed by heating and ionizing a gas. Examples of plasma include stars, lightning, fluorescent lights, and neon signs.

Explanation:

Set up the system under static equilibrium conditions. That is, there is no net torque acting on the system.

(a) The youngster, who weighs 600 N, moves x steps away from point A in a direction toward the right. Below is a diagram of a free body.By assuming zero positive clockwise torque about A

A =(600N)(x)+(300N)(2.50m)-F B(5.0m) 0=600x+750N cdot m 5F B 5F B=600x + 750N cm F B=120x+150N cm

0=600x+750N⋅m−5F B 5F B = 600x+ 750N m F B = 120x + 150N m

Additionally, by applying positive clockwise torques to B

sum B = F A(5.0 m) -(300 m)(2.50 m) -(600 m)(5.0 m -x) 5F A = 3750; N cm -600x; F A = 750; N cm -120x; 0=5F A -750; N cm -3000; N cm + 600x; B = F A (5.0m), (300N), (2.5m), (600N), (5.0m x), 0 = 5F A 750N m 3000N m + 600x 5F A = 3750N m 600x F A = 750N m 120x

Complete question is:

A uniform aluminum beam 9.00 m long, weighing 300 N, rests symmetrically on two supports 5.00 m apart (Fig. E11.12). A boy weighing 600 N starts at point A and walks toward the right.

(a) In the same diagram construct two graphs showing the upward forces FA and FB exerted on the beam at points A and B, as functions of the coordinate x of the boy. Let 1 cm = 100 N vertically, and 1 cm = 1.00 m horizontally

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Explanation:

answer 689910

M x G x H

mass = 77

G= 9.8

Meter = 915 this is the height

77 x 9.8= 754.6

754.6 X 915 = 689910 J

Dean Potter is known for slacklining across a 915-metter deep ravine in Yosemite National Park with no safety gear. If his mass is 77 kg then he has the potential energy of  691163.55 Joules

As total mechanical energy is the sum of all the kinetic as well as potential energy stored in the system.

ME = KE + PE

As given in the problem Dean Potter is known for slacklining across a 915-meter deep ravine in Yosemite National Park with no safety gear. If his mass is 77 kg,

m =77 kg

h = 915 m

the total potential energy of the dean potter can be calculated withe the help of the formula of the potential energy

PE = mgh

PE = 77*9.81*915

PE = 691163.55 Joules

Thus, he would have the potential energy of  691163.55 Joules

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To find the maximum value of the magnitude of the gravitational field (g⃗) at a point on the x-axis due to two identical particles located at x=+x0 and x=−x0, we can consider the gravitational field contributions from each particle individually and then sum them.

The magnitude of the gravitational field due to a particle at a distance y along the y-axis is given by:

g = G * (m / y^2)

where G is the gravitational constant.

For the particle at x=+x0, the distance y is given by:

y = sqrt(x0^2 + y^2)

Similarly, for the particle at x=−x0, the distance y is:

y = sqrt(x0^2 + y^2)

To find the maximum value of g⃗, we need to find the point on the x-axis where the magnitude of g⃗ is maximum. This occurs when y is minimized. Since the particles are located symmetrically on the x-axis, the minimum value of y is 2x0.

Therefore, the maximum value of the magnitude of g⃗ is:

g_max = G * (m / (2x0)^2)

      = G * (m / 4x0^2)

      = (Gm) / (4x0^2)

So, the maximum value of the magnitude of g⃗ is (Gm) / (4x0^2).

The maximum gravitational force (g) between the two identical particles each of mass m located at x=+x0 and x=−x0 is given by the formula F = G*m*m/(2x0)². This force remains unchanged as the distance between the particles is constant in this case.

The problem involves calculating the maximum gravitational force between two identical particles. This is a question of physics, specifically within the branch of classical mechanics. For two point masses, the gravitational force between them is described by Newton's law of gravitation:

F = G*m1*m2/r²

In this case m1 and m2 are the masses of two identical particles (each of mass m) and 'r' is the distance between them. As the particles are located at x=+x0 and x=−x0 on the x axis, the distance between them is 2x0 . Substituting the distance in, we get:

F = G*m*m/(2x0)²

This equation represents the absolute magnitude of the gravitational force (vector g). The maximum value of the gravitational force will be obtained when the distance between the two particles is minimum. Here the distance is fixed so magnitude of g does not change. This is the maximum gravitational force for this particular set up.

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Atom A and atom C are the same element.

Electricity is defined as the flow of electrical current through a conductor.

A fundamental type of energy that is produced by the presence and movement of electric charge is electricity. The passage of electrons or other charged particles across a conductor, like a wire, is what defines the phenomena. It includes the creation, transmission, and use of electric energy, as well as the full field of electric phenomena.

Therefore,

Electricity is defined as the flow of electrical current through a conductor.

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Answer:

the helis speed increased its speed by 35 m/s. Unless you are asking me what was the speed per second. if you were asking me for the speed per second then that would be a different answer

Explanation:

Answer:

7 m/s ^2

Explanation:

a=  60 m/s - 25 m/s over 5 s

a= 35 m/s over  5 s

a= 7 m/s^2

The term used to describe the energy of a system that is available to do work is free energy.

Free energy is the energy that is available in a particular chemical system to do useful work.

The Gibbs free energy denoted by G is the enthalpy of a system minus the product of its entropy and absolute temperature.

It is referred to as free because the energy is readily available anytime. Free energy is measured in kilojoules per mole (KJ/mol).

Therefore, it can be said that the term used to describe the energy of a system that is available to do work is free energy.

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Answer:

Lightning is an electrical discharge caused by imbalances between storm clouds and the ground, or within the clouds themselves. Most lightning occurs within the clouds. ... This heat causes surrounding air to rapidly expand and vibrate, which creates the pealing thunder we hear a short time after seeing a lightning flash.

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Brainliest?

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Answer:

Lightning can be explained in terms of charges produced due to rubbing. During a thunderstorm, the air currents move upwards and the water droplets move downwards. And this caused due to the separation of charge due to this vigorous motion.

Explanation:

Answer:

the  current in the wire is  0.008333333  A

Explanation:

The computation of the current in the wire is as follows;

Current in the wire is

= Total charge ÷ cross sectional area of the wire

= 7.5 × 10^-3C ÷ 0.9s

= 0.008333333  A

Hence, the  current in the wire is  0.008333333  A

We simply applied the above formula so that the correct current of the wire could come

And, the same is considerd and relevant too

Answer:

D. It focuses on the core muscles

Answer:

A. It is a total body exercise

Explanation:

In cardio kickboxing as described by my school is "

The first benefit is the one which we are focusing on because all the other answers are correct but A. Total body exercise is the best answer because it covers all of them as an compendious answer

Also I took the test and got this correct

A student ties a lead cube to an oval-shaped block to prevent it from floating and immerses it in water density as part of a study to identify the sort of wood it is composed of.

The term "density" (also known as "volumetric mass density" or "specific mass") refers to a substance's mass per unit of volume. Although the Latin letter D may also be used, the sign most frequently used for density is (the lower case Greek letter rho).

According to legend, Archimedes shouted "Eureka!" as he rushed through the Sicilian streets. ("I've discovered it!") He had figured out what density was. Everyone has spent a significant amount of time in water during their life. The second thing Archimedes noticed was that he felt lighter floating.

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Answer:

18

Explanation:

12 - 5 + 8 = 15

12 - 8 = 4

7 - 4 = 3

15 + 3 = 18

The equations mentioned by Emily in the valuation analysis for Aspeon are as follows:

1) Equation (1): This equation represents the value of equity (S) and calculates it based on the EBIT (earnings before interest and taxes), the tax shield provided by debt (D), and the required return on debt (kd) and equity (ks). It implies that the value of equity is equal to the adjusted EBIT after deducting the tax shield from debt.

2) Equation (2): This equation calculates the total enterprise value (V) by adding the value of equity (S) and debt (D). It represents the total worth of the company, considering both equity and debt.

3) Equation (3): This equation calculates the price per share (P) by dividing the total enterprise value (V) minus the initial debt (D0) by the number of shares (n0). It represents the price per share based on the valuation of the company.

4) Equation (4): This equation calculates the new number of shares (n1) by subtracting the dividend (D) from the initial number of shares (n0) divided by the price per share (P). It represents the adjusted number of shares after the payment of dividends.

5) Equation (5): This equation calculates the levered value (VL) by adding the unlevered value (VU) with the tax shield value (TD). It represents the value of the company after considering the tax advantages of debt.

These equations provide a framework for valuation analysis, considering factors such as earnings, taxes, debt, and equity. They help assess the value and financial implications of Aspeon's growth prospects.

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Answer:

The distance covered by an object per unit time is known as speed.

Answer:

Speed is known as the distance covered per unit time.It is a scalar quantity. Unit of speed is m/s.

It has only magnitude, direction is not specified.

An object is said to be in uniform speed or motion if it covers equal distance in equal intervals of time.

The formula to find speed is

\( \sf \frac{distance}{time} \\ \)

Suppose we take an example that distance is 100km and time is 5 hour

So speed will be

\( \frac{ { \cancel{100}} \: \: ^{20} }{ \cancel5} \\ \)

speed is 20 km/ hr.

\(\Large\textsf{Hope \: It \: Helped}\)

Answer:

refer to the above attachment

If solid iron is dropped in liquid iron, it will sink to the bottom of the liquid iron due to its higher density. The liquid iron will flow around the solid iron as it sinks and will eventually surround it completely.

The solid iron will start to melt due to the high temperature of the liquid iron, and the molten iron will mix with the liquid iron. The solid iron will continue to sink until it reaches the bottom of the container, where it will settle. The resulting mixture of molten and solid iron will reach thermal equilibrium, where the temperature and density of the mixture will become uniform throughout.

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To calculate the volume of a 0.48 M barium acetate solution that contains 325 mmol of barium acetate (Ba(C2H3O2)2), we can use the formula

Volume (in mL) = moles / concentration

First, we need to convert the given moles of barium acetate (325 mmol) into the concentration of the solution (Molarity).

Molarity (M) = moles / volume (in L)

Let's calculate the concentration:

Molarity = 325 mmol / volume (in L)

Now, we can rearrange the equation to solve for the volume:

Volume (in L) = 325 mmol / Molarity

Finally, to 2 significant digits Volume (in mL) = (325 mmol / 0.48 M) * 1000 = 677083.33 mL Therefore, the volume of the 0.48 M barium acetate solution that contains 325 mmol of barium acetate is approximately 677,083.33 mL.

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Gravity of two objects is affected by object size and distance between objects.

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Fission reactors are an important energy source, but environmental costs and issues are associated with their production. The most significant issue is the production of nuclear waste, which poses a serious threat to the environment and public health.

Nuclear waste is radioactive and can remain hazardous for thousands of years, making it difficult to safely dispose of. Moreover, it can contaminate water, soil, and air if disposed of improperly. Another issue is the high consumption of water required to cool the reactor, which can have a negative impact on aquatic life in rivers and lakes. Furthermore, the production and mining of uranium, which is the fuel for fission reactors, can lead to soil erosion and contamination. Additionally, uranium mining requires large amounts of energy, contributing to greenhouse gas emissions and other forms of pollution. In conclusion, producing energy through fission reactors results in several environmental costs and issues. While nuclear power is a clean source of energy compared to fossil fuels, its production and waste disposal methods pose serious environmental risks.

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Answer:

The change in pitch of a siren on an ambulance

Answer:

Explanation:

The drop in pitch of ambulance sirens as they pass by and the shift in red light are common examples of the Doppler Effect.

False

The Pressure Gradient Force (PGF) is the force that drives air from areas of high pressure to areas of low pressure. In both a trough and a ridge, the PGF is the same.

However, the winds will not be the same in both features.  

In a trough, the winds tend to move towards the center of the trough, where the air is rising, and this causes convergence and lifting. This upward motion causes a decrease in pressure, leading to a steeper pressure gradient, which means stronger winds. On the other hand, in a ridge, the winds move away from the center of the ridge, where the air is sinking, and this causes divergence and sinking. This sinking motion causes an increase in pressure, leading to a weaker pressure gradient and lighter winds.  

Therefore, assuming the same PGF, the trough will have the faster winds compared to the ridge.

It takes 2.29 s time to get out of the way, if the shot was released at a height of 2.11 m, and he is 1.75 m tall.

Let us use the equation, s = ut + 1/2 at²

where, s is displacement

u is initial velocity

a is acceleration

t is time

Displacement s = 2.11 - 1.75 m = 0.36 m

Initial velocity u = 11.5 m/s

Acceleration due to gravity a = -9.81 m/s²

Let us place the values in the above equation,

0.36 = 11.5t + 1/2* (-9.81)t²

4.905 t² - 11.5t + 0.36 = 0

The values of t are t = 2.291 sec or -0.02756s

Let us ignore the negative value as t cannot be negative.

Thus, the time taken is 2.29 s to get out of the way if the shot was released at a height of 2.11 m, and he is 1.75 m tall.

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The bird travels a total distance of 92 km. When the two trains are 46 km apart, the bird starts flying from one train toward the other train.

Let's assume that the distance between the bird and the first train is x km. Since the bird is flying towards the other train at a speed of 46 km/h and the trains are moving towards each other at a combined speed of 46 km/h, the relative speed of the bird with respect to the first train is

69 km/h (46 km/h + 23 km/h).

Therefore, it takes the bird x/(69 km/h) hours to reach the second train.

During this time, the two trains move towards each other and reduce the distance between them by

Therefore, the distance between the bird and the second train is also x km. Now, the bird starts flying towards the first train at the same speed of 46 km/h. Again, it takes the bird

hours to reach the first train.

During this time, the two trains move towards each other and reduce the distance between them by another x/3 km. Therefore, the total distance traveled by the bird in one round trip is 2x km.

Since x + x/3 + x/3 = 92 km (the initial distance between the trains)

the total distance traveled by the bird in all the round trips is

2(92 km) = 184 km.

However, since the bird only flies halfway towards each train before turning back, the actual distance traveled by the bird is half of 184 km, which is 92 km.

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The turntable's rotation angular velocity when the block reaches the outer edge is 5.578 rads⁻¹

The inertial moment of the turntable block = \(\frac{1}{2} mr^{2}\)

The inertial moment of the block = \(mr^{2}\)

According to the law of conservation of angular momentum, the total angular momentum of the system when the block is seated at the center and when the block is at the outside edge must be the same since no external torque operates on the system.

Additionally,

ω= 2\(\pi\)f, where f represents rpm, can be used to determine

ω= 2π×63/60 = 6.597

So, I*ω = I' * ω'

\([\frac{1}{2} 0.23 *(0.5)^{2} + 0.021* (0)^{2} ]6.597= [\frac{1}{2} 0.23 *(0.5)^{2} + 0.021* (0.5)^{2} ]\)*ω'

ω' = 5.578 rads⁻¹

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