find the exact length of the curve. x = et − 9t, y = 12et/2, 0 ≤ t ≤ 2

Answer:

please mark me as a brainleast

Explanation:

1.eneegy can change from ome form to another

Answer:

Gravity.” or “Gravity causes the moon to orbit the earth.” “Acceleration due to gravity” is much more precise. It is the acceleration that an object experiences when it is dropped with no other external forces on it. ... Near the surface of the earth the acceleration due to gravity is about 9.8

Answer:

Acceleration due to gravity is the rate of change in velocity of a body under the influence of gravitational fields while gravitational force is the force of one newton experinced by a body of 1 kg mass placed in gravitational fields.

For velocity vs Time graphs, the displacement of the object from 2 seconds to 6 seconds is 30 m.

The displacement is the shortest distance travelled by the particle. It is the vector quantity which re[presents both the magnitude and direction.

In velocity time graphs, the displacement is the area under the curve of the graph on the x axis.

'

A line starts at (0, 2) and ends at (6, 8) in v-t graph

Displacement is equal to the area of a triangle and a rectangle formed under the line.

Area = 1/2 base x height + length x breadth

Area = 1/2 x 6x 6 + 6x2

Area = 18 +12

Area = 30 m

Thus, the displacement is 30 m.

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The wavelength of the sound wave, given that wave has a frequency of 35 Hz and travelling at 1500 m/s is 42.86 m

First, we shall list out the given parameters from the question. This is given below:

The wavelength of the sound wave can be obtained as illustrated below:

Velocity (v) = wavelength (λ) × frequency (f)

1500 = wavelength × 35

Divide both sides by 35

Wavelength = 1500 / 35

Wavelength = 42.86 m

Thus, from the above calculation, we can conclude that the wavelength of the sound wave is 42.86 m

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λ=v/f

λ-wavelength

v-speed

f-frequency

we have the wavelength(6.2 x 10^-6meters) and we use the speed of light which is equal to 3*10^8m/s

6.2*10^-6m=3*10^8m/s/f

f=(3*10^8m/s)/(6.2*10^-6)≈0.48*10^14Hz

Answer:

The frequency of orange light is:

\(f=\:4.8\:\times \:10^{13}\) Hz

Step-by-step Explanation:

The relation between frequency and wavelength is

Here,

Therefore, using the formula

f = c / λ

  \(=\frac{\left(3\times 10^8\right)}{\left(6.2\:\times 10^{-6}\right)}\:\)

\(\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}\)

  \(=\frac{3\times \:10^{8-\left(-6\right)}}{6.2}\)

   \(=\frac{10^{14}\times \:3}{6.2}\)

   \(=\:4.8\:\times \:10^{13}\) Hz

Therefore, the frequency of orange light is:

\(f=\:4.8\:\times \:10^{13}\)  Hz

The labeling of blood vessels shown below:

Arterioles are the incredibly small branches of arteries, the blood channels that convey blood out from the heart. Venules, which are incredibly tiny branches that gather blood from numerous organs and body parts, join to create veins, which carry blood back to the heart.

The arteries divide into progressively smaller branches that supply the body's tissues and organs with oxygen and other nutrients. The oxygen and other nutrients enter the cells when the blood passes through the capillaries, while waste products from the cells travel into the capillaries.

Labeling are shown below:

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The complete question is as follows:

Label the blood vessels using the hints provided. Pterygoid plexus of v Middle meningeal Superficial temporal Maxillary v Facial v Posterior auricular V Reset Zoom.

Answer:

0.0124 AU

Explanation:

Ganymede takes 7.15 Earth days to orbit Jupiter. Ganymede is measured to be 7.1 X 10⁻³ AU from Jupiter’s center.

We need to find how far away is Callisto from the center of Jupiter if a second moon of Jupiter, Callisto, takes 16.69 Earth days to orbit Jupiter. Let it is r₂. Using third law of Kepler.

\(T^2\propto r^3\)

i.e.

\((\dfrac{T_1}{T_2})^2=(\dfrac{r_1}{r_2})^3\\\\\dfrac{r_1}{r_2}=(\dfrac{T_1}{T_2})^{2/3}\\\\r_2=\dfrac{r_1}{(\dfrac{T_1}{T_2})^{2/3}}\\\\r_2=\dfrac{7.1\times 10^{-3}}{(\dfrac{7.15}{16.69})^{2/3}}\\\\r_2=0.0124\ \text{AU}\)

So, Callisto is 0.0124 AU from the center of the Jupiter.

Answer:

5

Explanation:

electrons can be more than det

Answer:

the combined train cars will be moving east at a speed of 1 m/s after the perfectly inelastic collision.

Explanation:

First, we can calculate the initial momentum of the first train car before the collision:

p1 = m1v1 = 1650 kg * 2 m/s = 3300 kgm/s east

Since the second train car is stationary, its initial momentum is zero:

p2 = m2*v2 = 0

The total momentum before the collision is therefore:

p_total = p1 + p2 = 3300 kg*m/s east

After the collision, the two train cars stick together and move as one, so we can treat them as a single object with a combined mass of 2*m1 = 3300 kg. Let's call the final velocity of the combined train cars v_final.

The conservation of momentum tells us that the total momentum after the collision is also p_total, so we can write:

p_total = m_total * v_final

Substituting in the values we have:

3300 kg*m/s east = 3300 kg * v_final

Solving for v_final, we get:

v_final = 1 m/s east

So the combined train cars will be moving east at a speed of 1 m/s after the perfectly inelastic collision.

The vehicle that undergoes the greatest change in velocity after a head-on collision is determined by the principle of conservation of momentum.

According to this principle, the total momentum of an isolated system (in this case, the two vehicles before and after the collision) remains constant.

In a perfectly inelastic collision, the two vehicles will stick together after the collision and move together with a common velocity. The change in velocity for each vehicle is equal and opposite, meaning that the vehicle that was originally moving faster will have a greater change in velocity (and thus, a greater decrease in velocity) compared to the vehicle that was originally moving slower.

In this scenario, since the Ford F250 and the Smart car are moving in opposite directions at the same velocity, their velocities will completely cancel each other out after the collision, meaning that both vehicles will undergo an equal change in velocity.

Therefore, we can say that both vehicles undergo the same change in velocity after the head-on collision.

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One way that Ms. Morimoto’s perspective is the same as President Truman’s is the belief that working peace is something we all do.

This is referred to as the officer in whom the chief executive power of a nation is vested and in most climes he/she is voted in after a election and the tenure could be four years etc.

The way in which Ms. Morimoto’s perspective is the same as President Truman’s is the belief that working peace is something we all do. This helps to prevent different types of conflict and in severe cases war which is therefore why it should be embraced.

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Answer:

D. 90km/hr due West

Explanation:

Given parameters:

Displacement  = 1215km

Time  = 13.5hr

Unknown:

Velocity  = ?

Solution:

Velocity is the displacement divided by the time taken;

   Velocity  = \(\frac{displacement}{time}\)   = \(\frac{1215km}{13.5hr}\)   = 90km/hr

Velocity is 90km/hr due West

Answer:

Explanation:

F = ma is a linear equation. This means that the Force change as the accleration changes. And vice versa. If the Force is cut in thirds, then the acceleration is also cut in thirds. Let's do some math on this just to prove it, shall we?

We know that at first, the F = 15. Let's give this object a mass of 5kg. That means that

15 = 5a so

a = 3

Then the F is cut into thirds, so

5 = 5a so

a = 1

The second acceleration is one-third of the first one, where the Force is 3 times greater.

The response D is correct as hot water has more energy than cold water, causing the molecules to move faster, leading to faster dissolution.

Hot water dissolves substances faster than cold water due to its higher energy level. The heat energy causes the water molecules to move faster, which increases the kinetic energy of the particles in the substance being dissolved. This therefore raises the probability of particle collisions, which accelerates the rate of disintegration.

Additionally, the stronger intermolecular forces between the water molecules make it easier for the solute particles to dissolve due to their increased energy level. This is why substances dissolution occurs faster in hot water than cold water.

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Complete question - Zeplin is investigating how long different substances take to dissolve in water. He timed how long each tested substance took to dissolve twice: once in cold water, and once in hot water. He noticed they dissolved faster in the hot water for every test. Which statement explains why this happened?

Responses:

A Hot water has more volume than cold water, so substances spread to fill space.

B Hot water has more gravity than cold water, so particles break up more quickly.

C Hot water has more oxygen than cold water, and oxygen absorbs substances.

D Hot water has more energy than cold water, causing the molecules to move faster.

Network modifiers are elements or compounds that can alter the network structure of a ceramic glass by breaking the covalent bonds and introducing ionic bonds. The addition of network modifiers can decrease the glass transition temperature (Tg) of a ceramic glass.

Network modifiers are elements or compounds that can alter the network structure of a ceramic glass by breaking the covalent bonds and introducing ionic bonds. The addition of network modifiers can decrease the glass transition temperature (Tg) of a ceramic glass. This is because the introduction of ionic bonds disrupts the continuous network of covalent bonds, which lowers the energy required for the molecules to move and transition from a solid-like state to a liquid-like state. Therefore, the more network modifiers added to a ceramic glass, the lower the Tg will be. Conversely, the removal of network modifiers or the addition of network formers (elements or compounds that enhance the network structure) will increase the Tg of a ceramic glass.

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Answer:

Balanced forces acting on a stationary object cause the object to remain at rest. True: Forces can give energy to an object it acts on causing the object to change it state of motion. If forces acting on an object are balanced, they do not cause a change in motion.

Answer:

False

Explanation:

It is NOT possible for just three forces to be acting upon an object and they still balance each other. A free-falling object experiences a balance of forces.

Given, Radius of Cork ball, r = 2 cm Density of Cork ball, ρc = 1/5 ρw We know, If a solid that is lighter than a fluid is placed in the fluid, the solid will be immersed to such a depth that the weight of the solid is equal to the weight of the displaced fluid.

i.e,  ρc Vc g = ρw Vw g ρc /ρw = Vw / Vc From this we can conclude that the volume of displaced fluid is equal to the volume of the immersed object. Vw = Vc = (4/3)πr³ Volume of Cork Ball Substituting the given values

ρc/ρw = 1/5  

=>  ρw = 5ρcVc = (4/3)πr³  

=>  Vc = (4/3)π(2)³ = 32/3 π cm³Vw

= Vc => Vw = 32/3 π cm³

Now, the equation we have is,ρc Vc = ρw(πx²r - 3πx³ /3) => ρc/ρw (4/3)πr³ = πx²r - πx³= 4/3 r²x - x³/3

Using secant method to an accuracy of 3 sig figs,

F(xn-1) = 4/3 r²xn-1 - xn-1³/3

F(xn) = 4/3 r²xn - xn³/3F(xn-1) - F(xn) / (xn-1 - xn) =

f(x) = 4/3 r²x - x³/3x1 = 0.1 cm and x2 = 0.2 cm

F(x1) = 4/3 (2)²(0.1) - (0.1)³/3 = 0.03407

F(x2) = 4/3 (2)²(0.2) - (0.2)³/3 = -0.08226x2 - x1 = 0.1

F(x2) - F(x1) = -0.11633x3 = 0.2 - 0.08226/(-0.11633)

= 0.8546F(x3) = 4/3 (2)²(0.8546) - (0.8546)³/3

= -0.0000171 cm.

Therefore, the floating depth of the cork ball is 0.855 cm (approx).

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A filament is a conductor with a resistance high enough to cause the conductor to heat and produce light.

Filaments are commonly found in incandescent light bulbs, which work by passing an electric current through a thin wire filament, causing it to heat up and emit light.

The filament is typically made of a metal such as tungsten, which has a high melting point and can withstand the high temperatures generated by the electric current.

As the filament heats up, it emits visible light as well as infrared radiation, which is absorbed by the bulb's glass envelope and causes it to heat up as well. The heat generated by the filament is what gives incandescent bulbs their warm glow and makes them a popular choice for lighting applications.

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Based on the drawing and the given information, the ray of light leaving the object will reflect off the mirror at an angle equal to the angle of incidence. The location where the ray passes through after reflection depends on the position of the object and the angle at which the ray hits the mirror.

Without further information, it is impossible to determine whether the ray passes through locations A, B, C, or D.
When a ray of light strikes a mirror, it follows the law of reflection, which states that the angle of incidence (the angle between the incoming ray and the normal line) is equal to the angle of reflection (the angle between the reflected ray and the normal line).

The normal line is an imaginary line perpendicular to the mirror's surface.
Using this concept, you can trace the path of the ray of light as it reflects off the mirror and determine through which location it passes.

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The magnitude of the gravitational force is 7×10⁻⁷ N

Baby weighs (m₁) 4.20 kg.

Father weighs (m₂)  100 Kg.

The gravitational force (F) between the body and the earth has a magnitude of 6.67×10⁻

The separation between them is: 0.200 m

The gravitational constant is

F=Gm₁×m₂÷ R²

F= 6.67×10⁻¹¹×4.20×100÷ (0.200)²

F= 7×10⁻⁷ N

Gravitational force: The gravitational force between any two mass-containing objects causes them to be drawn together. The gravitational force is said to as attractive because it continually seeks to unite masses rather than to drive them away. In truth, you and everything else in the universe are being pulled in different directions. It is referred to as Newton's Universal Law of Gravitation.

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As an astronaut meal planner, here is a menu for a day's worth of meals in space includes Breakfast, Lunch and Dinner.

Breakfast:

Scrambled Eggs with Vegetables

Special Packaging: Individual vacuum-sealed pouches

Preparation: The scrambled eggs with vegetables will be precooked and dehydrated. Astronauts will rehydrate the meal with hot water, stir, and allow it to sit for a few minutes before consuming. This ensures the eggs and vegetables rehydrate properly in the zero-gravity environment.

Lunch:

Teriyaki Chicken Stir-Fry with Rice

Special Packaging: Sealed pouches for each component (chicken, vegetables, rice, and sauce)

Preparation: The chicken, vegetables, and rice will be precooked and dehydrated separately. The teriyaki sauce will be in a separate pouch. Astronauts will rehydrate each component individually with hot water, then mix them together in a resealable pouch. After a few minutes, the meal will be ready to eat.

Dinner:

Grilled Salmon with Quinoa and Roasted Vegetables

Special Packaging: Vacuum-sealed pouches for each component

Preparation: The salmon will be cooked and then freeze-dried for preservation. The quinoa and roasted vegetables will be precooked and dehydrated separately. Astronauts will rehydrate the quinoa and vegetables with hot water, then warm up the salmon using a food warmer. The components will be combined on a tray and secured with fasteners to prevent them from floating away.

Modifications for space include using dehydration and freeze-drying techniques to remove water content from the food while preserving nutrients. Vacuum-sealed and sealed pouches are used to prevent spoilage and maintain freshness. Rehydration with hot water is necessary to restore the food's texture and taste.

Additionally, it's important to consider portion control and individual packaging to prevent cross-contamination and maintain food safety. The use of condiments and seasonings may be limited to avoid loose particles floating in the spacecraft.

By designing meals that are easy to prepare, consume, and clean up, astronauts can enjoy nutritious and satisfying meals while adapting to the unique challenges of the zero-gravity and non-refrigerated environment in space.

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The current through the coffee machine is 3.48 A.

To calculate the current flowing through the coffee machine, we use the formula below.

Formula:

Where:

Make I the subject of the equation.

From the question,

Given:

Substitute these values into equation 2

Hence, The current through the coffee machine is 3.48 A.

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Answer:3.48

Explanation:

Answer:

14 Newtons

Explanation:

6N + 8N = 14N

Answer:

A.33333.3N/M2

B.100000N/M2

Explanation:

HAVE A NICE DAY ;]

The formula is  \(\frac{Newton}{Meter^{2} }\)

10 Newton=1 kilogram

If it moves at given speed, the car travels, d = 540 km in 3 hours.

s = d / t

where,

s is speed

d is distance

t is time

So given data are :

s = 180km/h

t = 3 hour

d = ?

Now putting values,

speed = distance / time

180km/h = d / 3 h

d = 180 km/h x 3 h

d = 540 km

A scalar quantity, speed is defined as the size of the change in an object's position over time or the size of the change in an object's position per unit of time. Speed is calculated as Distance x Time. Time is calculated as Time = Distance / Speed. Distance is calculated as Distance = Speed x Time.

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The integral of 1/(1 + x²) is (1/2)ln|1 + x²| + C where C is the constant of integration.

Integration is a mathematical process of finding the antiderivative of a function. To integrate the given expression 1/(1 + x²), we will use the substitution method.

Let u = 1 + x², du/dx = 2x dx, then dx = du/2x and the integral becomes:

∫1/(1 + x²) dx = ∫1/u * (1/2x) du= (1/2)∫1/u du

The antiderivative of 1/u is ln|u| + C, where C is the constant of integration.

Therefore, the final solution of the integral is (1/2)ln|1 + x²| + C.

Let us work through the steps:

Step 1:Let u = 1 + x² and then differentiate both sides with respect to x to obtain du/dx. du/dx = 2x

Substitute 2x dx = du into the integral ∫1/(1 + x²) dx to get the integral in terms of u:∫1/u * (1/2x) du = (1/2) ∫1/u du

Step 2:Calculate the antiderivative of 1/u, which is ln|u|. Thus, the final solution is (1/2)ln|1 + x²| + C, where C is the constant of integration. The constant C will vary depending on the initial conditions of the problem.

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Answer:

1.5 m/s²

Explanation:

Applying,

a = (v-u)/t ...................... Equation 1

Where a = acceleration of the particle, v =  final velocity of the particle, u = Initial velocity of the particle, t = time.

From the question,

Given: u = 0 m/s (From rest), v = 15 m/s, t = 10 seconds

Substitute these values into equation 1

a = (15-0)/10

a = 15/10

a = 1.5 m/s²

Answer:

To solve this problem, we can use the formula for weight:

W = m * g

where W is the weight, m is the mass, and g is the acceleration due to gravity. Since we are given the weight of the boots on Earth, we can solve for the mass as follows:

W = m * g

100 N = m * 10 m/s^2

m = 10 kg

Now we can use the mass to calculate the weight on Mars using the same formula but with the acceleration due to gravity on Mars:

W = m * g

W = 10 kg * 4 m/s^2

W = 40 N

Therefore, the boots would weigh 40 N on Mars where the acceleration of free fall is 4 m/s^2.