find the surface area generated by rotating the given curve about the y-axis. x = 9t2, y = 6t3, 0 ≤ t ≤ 5

Answer:

The value is \(v = 24.5 \ m/s \)

Explanation:

Generally from kinematic equation we have that

\(v = u + at\)

Here u is equal to zero given that the batch was at rest

a is equal to the g which has a value \(g = 9.8\ m/s^2\)

and  t  is  2.5 \  s  

So

          \(v  =  0 + 9.8 *  2.5 \)

\(v = 24.5 \ m/s \)

Answer:hushing

Explanation:

Dfgvcryh

Potential energy is transformed into kinetic energy its correct trust me have a nice day! :)

Answer:

Approximately \((-0.67)\; {\rm m\cdot s^{-1}}\) assuming that Charlotte was initially not moving.

Explanation:

When an object of mass \(m\) travels at a velocity of \(v\), the momentum \(p\) of that object would be \(p = m\, v\).  

Assuming that Charlotte was initially not moving, the momentum of Charlotte and the spear would both be \(0\) before launching the spear.

At a velocity of \(15\; {\rm m\cdot s^{-1}}\), the momentum of the \(2\; {\rm kg}\) spear would be \((2\; {\rm kg})\, (15\; {\rm m\cdot s^{-1}}) = 30\; {\rm kg \cdot m\cdot s^{-1}}\) after the launch.

If the velocity of Charlotte after launching the spear is \(v\; {\rm m\cdot s^{-1}}\), the momentum of Charlotte would be \((45)\, v\; {\rm kg\cdot m\cdot s^{-1}}\).

Momentum is supposed to be conserved immediately launching the spear. In other words, the sum of the momentum of Charlotte and the spear should be the same before and after before launching the spear:

By the conservation of momentum:

\(45\, v + 30 = 0\).

\(v \approx (-0.67)\).

In other words, the speed of Charlotte would be approximately \((-0.67)\; {\rm m\cdot s^{-1}}\) immediately after launching the spear.

Answer:

-0.67 m/s

Explanation:

This problem can be solved using the principle of conservation of momentum.

The initial momentum of the system is 0 because both Charlotte and the spear are at rest.

Let’s denote Charlotte’s velocity after the spear is shot as v. The final momentum of the system is given by the sum of the momenta of Charlotte and the spear: (45 kg) * v + (2 kg) * (15 m/s).

By the principle of conservation of momentum, the initial and final momenta of the system must be equal. Therefore, we have:

(45 kg) * v + (2 kg) * (15 m/s) = 0

Solving for v, we find that:

v = -(2 kg * 15 m/s) / (45 kg)

v ≈ -0.67 m/s

So Charlotte moves backward with a velocity of approximately -0.67 m/s.

The sound would have a wavelength of about  9.8 * 10^-3 m.

The wavelength is a characteristic of a wave that describes the distance between two successive points in the wave that are in phase, or the distance over which the wave's shape repeats. It is typically denoted by the Greek letter lambda (λ) and is measured in meters (m) or other units of length.

Given that the speed of sound in air is 343 m/s

v= λf

λ = v/f

λ =  343 m/s/3.5x10^4 Hz

λ =  9.8 * 10^-3 m

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The scalar components R and R₂ of the force R along the nonrectangular axes a and b are determined using given information. The orthogonal projection Pa of R onto axis a is also calculated.

Given information:

Magnitude of force R = 810 N

Angle between R and axis a = 117°

Angle between R and axis b = 25°

To find the scalar components R and R₂, we can use trigonometry. Let's denote the angle between R and the x-axis as θ. We can express R in terms of its components as follows:

R = R₁ + R₂

Where R₁ is the component of R along axis a, and R₂ is the component of R along axis b.

Using trigonometry, we can determine the values of R₁ and R₂ as follows:

R₁ = R cos(θ)

R₂ = R sin(θ)

To find the angle θ, we subtract the given angles between R and axes a and b from 90° (since axis a and b are nonrectangular):

θ = 90° - 117° = -27°

Now we can calculate R₁ and R₂ using the given magnitude of R and the calculated angle θ:

R₁ = 810 N cos(-27°)

R₂ = 810 N sin(-27°)

Finally, to determine the orthogonal projection Pa of R onto axis a, we use the formula:

Pa = R₁ = 810 N cos(-27°)

Substituting the values into the equations, we can calculate the numerical values of R₁, R₂, and Pa.

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Explanation:

F=MA

where, M=1500kg

A=v-u/t

A= 20-0/10

A=2m/s2

F=MA

F=1500 * 2

F=3000N

Answer:

S = V0 t + 1/2 a t^2      net distance traveled

5.2 = a/2 * 25

a = 10.4 / 25 = ,416 m / s^2

F = m * a

m = F / a = 24 / .416 = 57.7 N

Answer:

well i'm not sure if which unit of measure you need but i think its 86.49 meters  tall.

we can observe its gravitational influence on visible matter.

Dark matter is a term used in astrophysics to refer to matter that corresponds to approximately 80% of the matter in the universe.

Dark matter is related to the motion of galaxies because visible matter makes up only a small part of the cluster and the galaxies show signs of being composed mainly of a halo of dark matter concentrated in their center.

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Answer:

it's (A) weight I think

Answer:

A. Weight

Explanation: Weight is defined as the amount of force placed on an object from gravity which means it is directly reliant on the force of gravity while the other choices are not. Neither Mass, volume, or velocity is impacted by gravity as much as weight, velocity is the direction of speed, mass is the resistance that a body of matter offers to a change in its speed or position upon the application of a force, and volume is the amount of space an object takes. As you can see none of these componant have gravity as a determining factor other than weight since weight is determined by the gravity which is why the weight of an object can vary if your on earth or on the moon since the gravity is different.

Answer:

1m

Explanation:

The conversion is 1mm = 0.001m. So all we need to do to find how many mm there are in a meter, all we need to do is divide by a 1000;

1000 / 1000 = 1m

Best of Luck!

Answer:

the value of the question is 1 because of the indicies rule.

Answer:

1

Explanation:

because

Answer:

Stationary

Explanation:

This is a position-time graph, meaning it shows an object's position over time. If the line is flat, it means that the object has not changed position during that time period, therefore it is stationary between the points g and h.

Hope this helped!

The actual efficiency of the plant is \(17.9\)%.

Geothermal power is a form of renewable energy that harnesses heat from the Earth's interior to generate electricity. This heat is captured through geothermal wells or reservoirs and used to drive a turbine to generate electricity.

The heat sources can be found in areas with volcanic activity or hot springs. Geothermal power is considered a clean and sustainable source of energy, as it emits deficient levels of greenhouse gases compared to fossil fuel power plants.

The actual efficiency of geothermal power will be:

Efficiency = (Net electrical output) / (Heat input)

Net electrical output \(=4.3 M W\)

Heat input \(=24MW\)

Therefore, Efficiency \(=4.3/24=0.179\) or \(17.9\)%.

So, the actual efficiency of the plant is \(17.9%\)%.

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Answer:

b, a, c

Explanation:

The middle one has the shortest wavelength, then it's the top one and the last one has the longest wavelength.

The rocket's velocity is 0.862c relative to the observer.

In this scenario, the rocket is moving at a velocity of 0.862c to the right. The term "c" represents the speed of light, which is approximately 299,792,458 meters per second. To calculate the rocket's velocity, simply multiply 0.862 by the speed of light.

The velocity of the rocket is relative to an observer or a reference frame. This means that the rocket's speed is being measured compared to the position of an observer, which could be a person, a device, or another object. In this case, the rocket is moving at a velocity of 0.862 times the speed of light, which is a significant fraction of the speed of light and would cause relativistic effects, such as time dilation and length contraction, to become noticeable.

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Answer:

hypotenuse = 21.6cm

Explanation:

I have attached photo with working.

The momentum of the pellet just before it hits the modelling clay is 0.0816 kg-m/s the velocity of the pellet just before it hits the modelling clay is 40m/s.

Assumption:

1)the pallet embeds into the clay.

A perfectly inelastic collision is one where the two objects that collide together become one object, losing the maximum amount of kinetic energy.

e=0

In perfectly inelastic collision the momentum is conserved.

given:

velocity of the truck + clay = 0.8m/s

mass of the truck + clay = 0.1 kg

mass of the pallet = 2g=0.002kg

a)

now since the example is of perfectly inelastic collision the momentum will be conserved .

i.e. momentum before collision  = momentum after collision

momentum of pallet =  momentum of( truck + clay)

momentum of pallet = (0.1+0.002)×0.8

momentum of pallet =0.0816 kg-m/s

b)

momentum before collision= mass of pallet ×velocity of pallet  + mass of truck × velocity of truck

velocity of pallet =0.0816/0.002

velocity of pallet =40m/s

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(a) The budget constraint can be written as: C = wL + V, where C is consumption, w is the real wage, L is leisure, and V is non-labor market income.

(b) With ẞ = 1/2, V = 100, and w = 200, John's optimal supply of labor cannot be determined without information about his preferences for leisure and consumption. The utility function only represents his preferences, but we need additional information to determine the specific amount of labor he would choose to supply.

(c) John's total income is the sum of his labor income and non-labor market income: Total income = Labor income + Non-labor income = wL + V. Without knowing the specific value of L, we cannot calculate the total income.

(d) Similarly, without knowing John's preferences for leisure and consumption, we cannot determine the specific level of consumption he would choose.

(e) In the case where John is subject to a 10% income tax on labor income only, his new optimal supply of labor would depend on the tax rate's impact on his preferences and the trade-off between leisure and consumption. Without further information on his preferences and the specific tax structure, we cannot determine the new optimal supply of labor.

Additional information about John's preferences for leisure and consumption, as well as the specific tax structure, is necessary to calculate his optimal labor supply, total income, consumption, and the impact of the income tax on his labor supply.

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In the peak of summer, it hasn't rained in a week, and the plants are looking rough, so watering the plants for an hour is a good idea.

However, the next day, you come back to the garden, and the plants look in worse shape than they did previously, as if none of that water made it to the plant. Plants absorb water through their roots. The root system of a plant is responsible for drawing water and nutrients from the soil. A plant's root system must be able to absorb water quickly in order for the plant to grow and thrive. When the soil around the root system is dry, the roots will stop growing and will not be able to absorb water.

It may even start to die. Watering plants during the peak of summer is important because it will help keep the soil moist and prevent the roots from drying out. However, watering a plant too much can be harmful. If a plant is overwatered, the water may not be able to penetrate the soil and reach the roots. Instead, it may just sit on top of the soil, causing the roots to rot and die. This can cause the plant to wilt and die.To summarize, if the soil around the plant is too dry, the roots may not be able to absorb the water you gave them, causing the plant to look worse than before. Conversely, overwatering can also be harmful because the water may not be able to penetrate the soil and reach the roots, causing the roots to rot and die.

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Answer:

The new volume of the balloon is 8.8 L

Explanation:

Charles's Law consists of the relationship between the volume and the temperature of a certain amount of ideal gas, which is kept at a constant pressure. This law establishes that the volume is directly proportional to the temperature of the gas, that is to say that if the temperature increases, the volume of the gas increases and that on the contrary if the temperature of the gas decreases, the volume decreases.

In other words, Charles's law states that when the amount of gas and pressure are kept constant, the ratio between the volume and the temperature will always have the same value:

\(\frac{V}{T}=k\)

Having a certain volume of gas V1 that is at a temperature T1, by varying the volume of gas to a new value V2, then the temperature will change to T2, and it will be fulfilled:

\(\frac{V1}{T1}=\frac{V2}{T2}\)

In this case:

Replacing:

\(\frac{8.5 L}{294 K}=\frac{V2}{305 K}\)

Solving:

\(V2=305 K*\frac{8.5 L}{294 K}\)

V2=8.8 L

The new volume of the balloon is 8.8 L

Answer:

35.2941176 cm/s

Explanation:

round it if you need too

Distance divided by time.

Answer: Cognitive

Explanation:

Cognition can be defined as the process of obtaining the knowledge and learning through the experience, senses and thought. Many psychologists can have similar experiences of learning the psychological framework of the society or at the individual level. Thus this can be said that the cognitive psychologist may have similar interests.

Two spherical objects have masses of 8000 KG and 1500 KG their centers are separated by a distance of 1.5 M, the gravitational attraction between them is 3.56 × 10⁻⁴N.

The gravitational force, also known as gravity, pulls objects with mass in the same direction. We frequently think about the Earth's gravitational pull. This force is firmly holding your body in place. But every mass-bearing object attracts other mass-bearing objects toward it through gravity.

Using the formula of gravitational attraction

F = G× M₁M₂/d²

where G = 6.67 × 10⁻¹¹ Nm²Kg⁻²

M₁ = 8000Kg

M₂ = 1500 Kg

F =  6.67 × 10⁻¹¹ × 8000 × 1500 / (1.5)²

F = 3.56 × 10⁻⁴ N

The gravitational force of attraction between them is 3.56 × 10⁻⁴ N.

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Answer:

E-Community

Explanation:

edge 2021

Answer:

The answer would be option E- community

Explanation:

Hope this helped :)

edg 2022

The total resistance of the circuit, given that parallel circuit has two resistors at 15 and 40 ohms is 11 ohms.

From the question given, the follow data were obtained:

The total resistance in the circuit can be obtained as follow:

R = (R₁ × R₂) / (R₁ + R₂) => Parallel arrangement

= (15 × 40) / (15 + 40)

= 600 / 55

= 11 ohms

Thus, we can conclude that the total resistance 11 ohms. None of the options are correct.

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(a) Pb = 2π * N * T

(b) Pf = mf * CV

(c) Brake Thermal Efficiency (ηb) = (Pb / Pf) * 100%

To determine the brake power, fuel power, and brake thermal efficiency, we can use the following formulas:

(a) Brake Power (Pb):

Pb = 2π * N * T

Where N is the shaft speed in revolutions per minute (rpm) and T is the torque.

(b) Fuel Power (Pf):

Pf = mf * CV

Where mf is the fuel consumption rate in kilograms per second and CV is the calorific value of the fuel in joules per kilogram.

(c) Brake Thermal Efficiency (ηb):

ηb = (Pb / Pf) * 100%

Let's calculate these values using the given information:

(a) Brake Power:

Shaft Speed N = 2600 rev/min

Torque arm R = 16 cm = 0.16 m

The torque (T) can be calculated using the formula:

T = F * R

Brake Power (Pb) = 2π * N * T

(b) Fuel Power:

Fuel consumption mf = 2 g/s = 0.002 kg/s

Calorific Value (CV) = 42 MJ/kg = 42 × \(10^6\) J/kg

Fuel Power (Pf) = mf * CV

(c) Brake Thermal Efficiency:

Brake Thermal Efficiency (ηb) = (Pb / Pf) * 100%

Let's substitute the given values into the equations and calculate the results.

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If the Earth's distance from the sun were to double, the intensity of sunlight at our new orbit would decrease by a factor of four (2²).

What is orbit?

The route an object makes around another object while being pulled by gravity is known as an orbit. The planets, moons, asteroids, and other celestial bodies in our solar system revolve around the sun. Orbits are typically elliptical in shape rather than being complete circles.

The smaller object is maintained in place by the gravitational force between the two items because the object being orbited is normally far more massive than the object in orbit. The mass of the object being orbited and the separation between the two objects influence the speed of the object in orbit. Understanding and forecasting the motion of celestial objects, as well as planning the trajectories of spacecraft, depend heavily on orbits.

If the Earth's distance from the sun were to double, the intensity of sunlight at our new orbit would decrease by a factor of four (2²).

This is because the intensity of sunlight follows an inverse square law with distance, which means that if the distance between the Earth and the sun is doubled, the intensity of sunlight received by the Earth will decrease by a factor of four.

So, if the Earth were to move to an orbit twice as far away from the sun, the intensity of sunlight reaching the Earth would be only one-fourth as intense as it is now. This would have a significant impact on the temperature and climate of the Earth, as well as the availability of sunlight for photosynthesis by plants.

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