A package is dropped out of an airplane traveling at a constant velocity of 127.92 m/s and a height of 809.86 m. How far away (horizontally) does the package land from where it was dropped?

The equation for the position vector r(t) of the particle at time t is :r(t) = 3i + 8j + 8k + (7i + 0j + 0k)t + (5/2i + 1/2j - 2k)t²

Given,Initial velocity, v0= 7 m/s

Final velocity, v = ?

Acceleration, a= 5i + j - 4k

Time, t = ?

Distance between the points, d= √(8 - 3)² + (9 - 8)² + (4 - 8)²

                                                    = √25 + 1 + 16

                                                    = √42 m

We know that,v = v0 + at

On substituting the given values in the above equation, we get,

7 + a×t = v

⇒ v = 7 + (5i + j - 4k)×t

Now, the equation of motion can be given by the following equation,r(t) = r0 + v0t + 1/2at²

Here,r0 = (3i + 8j + 8k) is the initial position of the particle

On substituting the given values in the above equation, we get,

r(t) = 3i + 8j + 8k + (7i + 0j + 0k)t + (5/2i + 1/2j - 2k)t²

Hence, The particle's location vector at time t is represented by the equation:r(t) = 3i + 8j + 8k + (7i + 0j + 0k)t + (5/2i + 1/2j - 2k)t²

learn more about vector from given link

https://brainly.com/question/17157624

#SPJ11

The temperature of the blue supergiant star would be hotter than the Sun.

We can determine this based on the concept of Wien's displacement law, which states that the wavelength of peak intensity emitted by a black body is inversely proportional to its temperature. The Sun, with its characteristic yellow-white light, has a temperature of approximately 5,500 degrees Celsius (5,773 Kelvin), which corresponds to a peak wavelength of around 500 nm. In comparison, the blue supergiant star emits high-intensity light with a wavelength of 400 nm, which is shorter than the Sun's peak wavelength. Since shorter wavelengths correspond to higher temperatures, the blue supergiant star must have a higher temperature than the Sun. These stars have surface temperatures typically exceeding 10,000 degrees Celsius (10,273 Kelvin) and can reach even higher temperatures, up to tens of thousands of degrees Celsius.

Learn more about Wien's displacement here:

https://brainly.com/question/31780394

#SPJ11

Answer:

1080 meters

Explanation:

60sec in 1 minute

So, 3x60=180

So, 6x180=1080 meters

Answer:

Explanation:

In order to find the baseball's speed we use the formula

\(v = \frac{p}{m} \\ \)

where

m is the mass

p is the momentum

From the question

p = 6 kgm/s

m = 0.15 kg

We have

\(v = \frac{6}{0.15} \\ \)

We have the final answer as

Hope this helps you

Reynolds number Re = 6666667 and the pressure drop is 0.013 g/cm/s² and the  shear stress at the wall  is  0.035 g/(cm⋅s²), The pumping power required to maintain this flow is The pumping power required to maintain this flow.

a) The Reynolds number can be calculated using the formula Re = (ρVD)/μ, where Re is the Reynolds number, ρ is the density of the fluid, V is the velocity of the fluid, D is the diameter of the artery, and μ is the viscosity of the fluid.

Substituting the given values, the density ρ = 1000 kg/m³ (since 1 liter = 1000 cm³), the velocity V = (5 L/min) / (1000 cm³/L) / (60 s/min) = 8.33 cm/s, the diameter D = 24 mm = 2.4 cm, and the viscosity μ = 3 cp = 0.03 g/(cm⋅s), we can calculate the Reynolds number.

Re = (1000 kg/m³) × (8.33 cm/s) × (2.4 cm) / (0.03 g/(cm⋅s))

Re = 6666667

b) To calculate the pressure drop in the artery, we can use the Hagen-Poiseuille equation for laminar flow: ΔP = (8μLQ)/(πD⁴), where ΔP is the pressure drop, L is the length of the artery section, Q is the volumetric flow rate, μ is the viscosity, and D is the diameter of the artery.

Substituting the given values, L = 50 cm, Q = 5 L/min = (5/60) cm³/s, μ = 0.03 g/(cm⋅s), and D = 2.4 cm, we can calculate the pressure drop.

ΔP = (8 × 0.03 g/(cm⋅s) × 50 cm × (5/60) cm³/s) / (π × (2.4 cm)⁴)

ΔP ≈ 0.013 g/cm/s²

c) The shear stress at the wall can be calculated using the formula τ = (4μQ)/(πD³), where τ is the shear stress.

Substituting the given values, we get

τ = (4 × 0.03 g/(cm⋅s) × (5/60) cm³/s) / (π × (2.4 cm)³)

τ ≈ 0.035 g/(cm⋅s²)

d) The pumping power required to maintain this flow can be calculated using the formula P = ΔPQ, where P is the pumping power and ΔP is the pressure drop.

Substituting the given values, we get

P = 0.013 g/cm/s² × (5/60) cm³/s

P ≈ 0.001 g⋅cm²/s³

know more about Reynolds number click here:

https://brainly.com/question/31298157

#SPJ11

Answer:

2.029×10^-18 J

Explanation:

E=hv

so

E=(3.06×10^15)*(6.63×10^-34)

E=2.029×10^-18 J

Answer:

As its name implies, radioactivity is the act of emitting radiation spontaneously. This is done by an atomic nucleus that, for some reason, is unstable; it "wants" to give up some energy in order to shift to a more stable configuration.

Explanation:

Too many neutrons in a nucleus lead it to emit a negative beta particle, which changes one of the neutrons into a proton. Too many protons in a nucleus lead it to emit a positron (positively charged electron), changing a proton into a neutron. Too much energy leads a nucleus to emit a gamma ray, which discards great energy without changing any of the particles in the nucleus. Too much mass leads a nucleus to emit an alpha particle, discarding four heavy particles (two protons and two neutrons).

It needs 3 weeks of inactivity  to lead to a decline in muscular endurance. (option A)

Muscles need to be continually stimulated in order for them to be able to retain their endurance capacity. When there is no activity or stimulation, the muscle tissue begins to break down and the body becomes weaker.

Research has shown that after about 3 weeks of inactivity, there is a noticeable decline in muscular endurance. This means that if you do not exercise for 3 weeks, you may start to see a decrease in your ability to perform physical activities for an extended period of time.

It is important to maintain a regular exercise routine in order to prevent a decline in muscular endurance and overall fitness.

Learn more about muscular endurance here:

https://brainly.com/question/16225402

#SPJ11

Answer:

An ammeter.

Explanation:

The electric current in one part of a circuit is measured with an ammeter, which gives a reading in ampere.

Answer:

they can stop in less time rather than heavier cars or loaded trucks because of more mass and weight they tend to slow down in more time.

Explanation:

The correct answer of terrestial weather:

The solar insolation in the visible and infrared regions of the solar electromagnetic spectrum is much more than the energy that space weather occurrences release into the troposphere and stratosphere. Despite claims to the contrary, there may be some connection between the Earth's climate and the 11-year sunspot cycle. There is no proof of this. For instance, it has frequently been suggested that the Maunder minimum, a 70-year period almost devoid of sunspots, is correlated to a cooler climate, but these correlations have vanished after further research. Changes in cosmic ray flux are hypothesized to affect how much cloud formation occurs.

To learn more about weather refer the link:

https://brainly.com/question/9662539

#SPJ9

Answer:

Explanation:

Remark

This is a second class lever. It is much more efficient than the fishing pole problem. All distances are measured from the pivot in these kinds of questions.

Givens

d1 = 1.5

d2 = ?

m1 = 50 kg

m2 = 30 kg

The lighter child will have to sit further away from the pivot to make the two conditions equal.

Formula

d1*m1 = d2*m2

1.5*50 = d2 * 30

75 = 30 * d2

75/30 = d2

d2 = 2.5

Remark

Notice that the distance is longer for the lighter child. The fact that these are masses and not forces does not matter, but you should take note of it. There is a difference between masses and forces. See the fishing pole problem.

Answer to the multiple Choice question. No motion on this kind of problem means equal moments. The answer is D

Problem 2

1) The wheels are further apart making B more stable. The wider the distance the wheels are apart, the harder it would be to tip the concrete mixer over

2) The center of gravity is lower. The higher the force is the more chance you have of exerting an external force to tip the mixer over.

Answer:

S=D/T

S=2340/3.5

S=668 km/hrs

Explanation:

Answer:

A 2.5 g bullet traveling at 350 m/s hits a tree and slows uniformly to a stop while penetrating a distance of 12 cm into the tree's trunk. What is the initial kinetic energy of the bullet? 153.125 J Correct: Your answer is correct.Jan 8, 2020

Explanation:

Answer:

For any collision occurring in an isolated system, momentum is conserved. The total amount of momentum of the collection of objects in the system is the same before the collision as after the collision.

Explanation:

Hope this helps

Immanuel Kant's "Groundwork of the Metaphysics of Morals" is a philosophical treatise that explores the concept of morality.

In this work, Kant argues that moral principles are not based on human preferences or social conventions, but rather are grounded in universal, rational principles.

He asserts that these principles can be derived through reason alone and that they apply to all rational beings, regardless of their cultural or historical context.

Kant's main argument is that moral obligations are determined by the categorical imperative, which states that an action is morally right if it can be made into a universal law that can apply to all rational beings.

He also argues that morality requires individuals to act out of respect for the inherent dignity of other human beings, rather than out of a sense of self-interest or duty.

In summary, the "Groundwork of the Metaphysics of Morals" is a foundational text in the field of moral philosophy that sets out Kant's views on the nature of morality and the basis for moral obligations.

It remains an influential work in contemporary ethics and continues to be widely studied and debated.

To know more about Metaphysics,

https://brainly.com/question/28795910

#SPJ4

An electrical circuit with a voltage difference of 120 V and a current of more than 15 A has an associated power of 1800 watts.

The pace at which work is completed or energy is converted into an electrical circuit is known as the electric power. It can also be described as a measurement of the amount of energy expended performing labor or moving over time. It is denoted by the letter P.

Electric power can be estimated by multiplying the electric current and voltage differential. Watt is the SI unit of power (w).

The quantity of electricity flowing from hot to neutral is regulated by ground fault circuit interrupters. The line trips if there is a difference. The Ground Fault Circuit Interrupters detect a mismatch as small as 4 or 5 milliamps, and they can become operational as quickly as one thirty second.

P = V.

equal I P = 120V * 15A .

P= 1800 watts

Learn more about electrical circuit here

https://brainly.com/question/15207515

#SPJ4

The correct question is

A circuit breaker is tripped when the current in the circuit is greater than 15 A. If the voltage difference is120 V, what is the power and used when the circuit breaker is tripped?

The power rating of the engine is 150000 W.

Power can be defined as the rate at which energy is used or consumed by a body.

To calculate the power of the engine, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, The power rating of the engine is 150000 W.

Learn more about power here: https://brainly.com/question/1173325

Answer:

Mendeleev left gaps in his table to place elements not known at the time. By looking at the chemical properties and physical properties of the elements next to a gap, he could also predict the properties of these undiscovered elements. ... The element germanium was discovered later.

Explanation:

Answer:

5c

Explanation:

you will divide the 150c by the 30c which will give you 5c

The supplied statement states that the smallest runway width that will work is one mile.

Speed refers to the rate which a distance varies over time. It has a time-distance dimension. The fundamental basis of time as well as the fundamental element of length are therefore combined to create the SI unit of velocity. The speed meter generated from Si is the meter per second (m/s). If you knew how far an object travels in a certain amount of time, you can calculate its speed.

To resolve this issue, we can apply the motion equation shown below:

v²-0²=2aΔs

Δs=v²/2a

We can determine the distance ratio from here.

Δs1/Δs2=(v1/v2)²  a2/a1

Since the second aircraft has twice the velocity but the same acceleration

Δs1/Δs2=0.5² * 1

Δs2=4Δs1=4*(1/4)=1 mile

Therefore, a mile is the minimum runway length.

To know more about speed visit:

brainly.com/question/29031300

#SPJ4

Answer:

Vibration means quickly moving back and forth (or up and down) about a point of equilibrium. ... Something that is vibrating may shake at the same time. If it vibrates in a regular way, it may produce a musical note because it can make the air vibrate. This vibration will send sound waves to the ear and to the brain.

Explanation:

Vibration, periodic back-and-forth motion of the particles of an elastic body or medium, commonly resulting when almost any physical system is displaced from its equilibrium condition and allowed to respond to the forces that tend to restore equilibrium.

Answer: 1820

Explanation:

acellus

A sprinter weighing 47 kg must apply 705 N of horizontal force to the starting blocks in order to achieve this acceleration.

acceleration describes the speed and direction changes in velocity over time.When something moves faster or slower down in a straight line, it is said to be accelerating.

Positive acceleration is a property of objects that are accelerating and travelling in the right direction.In the first illustration, positive acceleration was demonstrated by the moving car.The vehicle is accelerating as it moves forward and is travelling in a favorable direction.

To know more about acceleration visit :

https://brainly.com/question/12550364

#SPJ4

This follows directly from the definition for average acceleration:

\(a_{\rm ave}=\dfrac{\Delta v}{\Delta t}=\dfrac{v_f-v_i}t\)

Under constant acceleration, acceleration and average acceleration are interchangeable. So we have

\(0.69\dfrac{\rm m}{\mathrm s^2}=\dfrac{v_f-3.5\frac{\rm m}{\rm s}}{8.3\,\mathrm s}\)

\(\implies v_f=3.5\dfrac{\rm m}{\rm s}+\left(0.69\dfrac{\rm m}{\mathrm s^2}\right)(8.3\,\mathrm s)\)

\(\implies\boxed{v_f=9.227\dfrac{\rm m}{\rm s}}\)

Answer:

The answer is A. Cementing...

Explanation:

hope this helps

Answer:

plate tectonics

Explanation:

brainliest also 100% flvs

Answer:

Explanation:

PE = mgh where m is the mass, g is gravity, and h is the height from which the object can potentially fall. We are given enough info here to solve for h. Filling in:

42 = 1.8(9.8)h and

\(h=\frac{42}{(1.8)(9.8)}\) and rounding to 2 sig fig's as we need:

h = 2.4 m, choice D

b. We can Connect 3 cells in series to 3 lamps in parallel and place an ammeter on the circuit to measure the current through one of the lamps.

The image is attached.

c. In this  connection, we creates a series connection where the current flowing through each component is the same.

the two cells' positive and negative terminals must be connected in order to complete the circuit. As a result, a parallel connection is formed where the overall current capacity rises while the voltage across each cell stays the same.

The positive terminal of the first light would be connected to the negative terminal of the second lamp in order to link the two lamps and a motor in series. The second lamp's positive terminal would then be connected to one of the motor's terminals. Finally, you would attach the other motor terminal to the first lamp's negative terminal.

This establishes a series connection in which each component receives the same amount of current.

Learn more about parallel connection  at:

https://brainly.com/question/19509255

#SPJ1

Answer:

Cows,Pigs,Chicken. They are always in farm