The mass of the Sikorsky UH-60 helicopter is 9300 kg. It takes off vertically at t = 0. The pilot advances the throttle so that the upward thrust of its engine (in kN) is given as a function of time in seconds by T=100+t2.
A.) How fast is the helicopter rising 3 s after it takes off?
B.) How high has it risen 3 s after it takes off?

Answers

Answer 1

The helicopter is rising at a rate of 0.0192 m/s after 3 seconds.

The helicopter has risen to a height of 43.9 m after 3 seconds.

A) To find the rate at which the helicopter is rising after 3 seconds, we need to calculate its acceleration using the formula:

a = F_net / m

where F_net is the net force acting on the helicopter, and m is its mass.

The net force is the difference between the upward thrust and the weight of the helicopter:

F_net = T - mg

where T is the upward thrust, g is the acceleration due to gravity (9.81 m/[tex]s^2[/tex]), and m is the mass of the helicopter.

Substituting the given values, we get:

F_net = (100 + [tex]3^2[/tex]) kN - 9300 kg x 9.81 m/[tex]s^2[/tex] = 178.7 kN

a = F_net / m = 178.7 kN / 9300 kg = 0.0192 m/[tex]s^2[/tex]

Therefore, the helicopter is rising at a rate of 0.0192 m/s after 3 seconds.

B) To find the height the helicopter has risen after 3 seconds, we need to integrate its velocity from t=0 to t=3, and add the initial height (which is zero):

v = ∫ a dt = ∫ (100 + [tex]t^2[/tex]) / m - g dt

v = (100/9300)t + (1/3)(1/9300)[tex]t^3[/tex] - 9.81t + C

At t=0, v=0, so C=0.

Substituting the given values, we get:

v = (100/9300)t + (1/3)(1/9300)[tex]t^3[/tex] - 9.81t

∫v dt = h = ∫ [(100/9300)t + (1/3)(1/9300)[tex]t^3[/tex] - 9.81t] dt

h = (50/9300)[tex]t^2[/tex] + (1/12)(1/9300)[tex]t^4[/tex] - 4.905[tex]t^2[/tex] + C

At t=0, h=0, so C=0.

Substituting t=3 seconds, we get:

h = (50/9300)([tex]3^2[/tex]) + (1/12)(1/9300)([tex]3^4[/tex]) - 4.905([tex]3^2[/tex]) = 43.9 m

Therefore, the helicopter has risen to a height of 43.9 m after 3 seconds.

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Related Questions

The components of a vector are:

A:Each equal to half the magnitude of the vector.

B:Independent of the orientation of the vector.

C:Perpendicular

D:None of the previous​

Answers

C : perpendicular

The component of a vector are perpendicular

A piece of gym equipment states that the maximum load it can hold is 300 kg. Why do you think it is important not to go over this limit?

Answers

Answer:

The weight limit of 300kg is the maximum amount the machine can handle so it can be dangerous to exceed the maximum load.

How can you use the period of a wave to find the frequency?

Answers

Explanation:

Frequency is the number of occurrences of a repeating event per unit of time.

It is also referred to as temporal frequency, which emphasizes the contrast to spatial frequency and angular frequency.

The period is the duration of time of one cycle in a repeating event, so the period is the reciprocal of the frequency.

Relationship between Period and frequency is as under :

The frequency of a wave describes the number of complete cycles which are completed during a given period of time.

As such, frequency is a rate quantity which describes the rate of oscillations or vibrations or cycles or waves on a per second basis.

A common unit of frequency is the Hertz, abbreviated as Hz.

Frequency

=

1

Period

f = c / λ = wave speed c (m/s) / wavelength λ (m).

http://www.sengpielaudio.com/calculator-period.htm

http://www.sengpielaudio.com/calculator-period.htm

https://study.com/academy/lesson/wave-period-definition-formula-quiz.html

Two charged spheres 10 cm apart attract each other with a force of 3.0 x 10^-6 N. What electrostatic force will result if both charges are doubled and the distance remains the same?

Answers

Answer:

The electrostatic force that will result if both charges are doubled and the distance remains the same is 6.0 * 10⁻⁶ N

Explanation:

Coulomb's law of  electricity states that the magnitude of the force of attraction or repulsion between two charges is directly proportional to the product of their charges and inversely proportional to the square of the distance of of separation between them.

In formula; F = KQ₁Q₂/d²

Using the formula for electrostatic force of attraction above to determine the force of between the two charged spheres

Let the charges be Q₁ and Q₂; distance of separation be d, K is a constant

Initially, F₁ = KQ₁Q₂/d² ---- (1)

F₁ = 3.0 * 10⁻⁶ N

when the charges are doubled, Q₁ = 2Q₁; Q₂ = 2Q₂; K and d remains constant

F₂ = 2KQ₁Q₂/d² ----(2)

Dividing equation (2) by (1) to find the ratio of their forces

F₂/F₁ = (2KQ₁Q₂/d²) / KQ₁Q₂/d²

F₂/F₁ = 2

Thus, F₂ is twice F₁.

Since F₁ = 3.0 * 10⁻⁶ N; F₂ = 2 * 3.0 * 10⁻⁶ N

F₂ = 6.0 * 10⁻⁶ N

Therefore, the electrostatic force that will result if both charges are doubled and the distance remains the same is 6.0 * 10⁻⁶ N

Electrostatic force is a force imposed by one charge on another as a result of the field.Electrostatic force will  be 12.0 x 10⁻⁶ N if both charges are doubled and the distance remains the same.

What is the electrostatic force?

It is a force imposed by one charge on another as a result of the field.

The electrostatic force produced by one line charge on another line charge separated by distance d is determined by the charge potency of each charge as well as the separation distance between them.

Hence the electrostatic force is given by  

[tex]\rm F=\frac{Kq_1q_2}{d^2}[/tex]

The given data in the question ,

d is the distance between the charge

F₁ is the electric force for case 1= 3.0 x 10⁻⁶ N

F₂ is the  electric force for case 2= ?

Conditions for case 2;

(q₁=2q₁),(q₂=2q₂),d₂=d₁

For case 1,

[tex]\rm F_1=\frac{Kq_1q_2}{d_1^2}[/tex]

For case 2,

[tex]\rm F_2=\frac{K(2q_1)(2q_2)}{d_1^2}[/tex]

[tex]\rm F_2=4\times\frac{Kq_1q_2}{d_1^2}\\\\\rm F_2=4F_1[/tex]

[tex]\rm F_2=4\times\frac{Kq_1q_2}{d_1^2}\\\\\rm F_2=4\times3.0\times 10^{-6}\\\\\rm F_2=12.0\times10^{-6}[/tex]

Hence electrostatic force will be 12.0 x 10⁻⁶ N.  if both charges are doubled and the distance remains the same.

To learn more about the electrostatic force refer to the link;

https://brainly.com/question/9774180

How does energy in the form of light photon travel through the many layers of the Sun?

Answers

Answer:Particles of light form from atoms undergoing nuclear fusion in the sun's innermost layer known as the core. The light then flows through the sun's interior for millennia, slowly bubbling up like water in a boiling pot. ... The view starts in the core of the sun where atoms fuse together to create light and energy.

Explanation: hope i helped

Light travels through the layers of the sun as particles called photons.

The sun is the principal source of energy in the universe. Energy from the sun is trapped by green plants and used in the process of photosynthesis.

Light travels through the layers of the sun as particles. These particles of light are called photons and they pass through the various layers of the sun.

Learn more about photons: https://brainly.com/question/24309591

The acceleration of an object is ____________________ related to the net force exerted upon it and _____________________ related to the mass of the object.

Answers

The acceleration of an object is directly related to the net force exerted upon it and inversely related to the mass of the object.

The temperature in deep space is thought to be about 3K.what is 3K in degrees Celsius and in degrees Fahrenheit?

Answers

Answer:

c

Explanation:

bnbbbn nbnbnb bbbb bnbb

What is a Sport car transformation

Answers

Answer:

when a car transforms...

Explanation:

Explanation:

Vivimos en un puente en lo que el diseño de coches se refiere, consecuencia de la gran disrupción de la automación que ocurriría en los próximos años.

Can someone help me find which one is a sedimentary rock

Answers

byevyebsndkneknddnudd


A ray diagram shows an object placed between 2F and F of a convex lens.

The image produced is
smaller than the object.

upright.

larger than the object.

virtual

Answers

Answer:

larger than object

Explanation:

the image formed will be on the opposite side of lens and magnified

Answer:

C

Explanation:

Which one illustrates it?
A) III
B) II
C) I
D) IV

Answers

Circuit diagram number II

I) R=(4*8)/(4+8)=8/3 Ω

II) R=4+((4*4)/(4+4))= 6 Ω

III) R= 4/3 Ω

IV) the same as I: 8/3 Ω

HELP ME PLS
when your sence becomes sharper what is that
a.respitory system
b.circulatery system
c.nervouse system
d.muskeler and skeletal system

Answers

Answer:

it will option C ,hope it helps

Answer:

nervous system is your answer

A hockey puck, with an initial velocity of 65 km/h [W], ricochets off the boards. After 0.76 s in contact with the boards, its final velocity is 47 km/h [E]. Determine the acceleration of the puck.

Answers

Answer:

 a = 40.937 m / s²

Explanation:

For this exercise let's use the relationship between momentum and momentum variation

          I  = Δp

          F t = m v_f - mv₀

          F = m (v_f -v₀) / t

let's reduce the magnitudes to the SI system

          v_f = 47 km / h (1000m / 1 km) (1h / 3600 s) = 13.056 m / s

          v₀ = - 65 km / h = -18.056 m / s

the negative sign is bearing the speed is west

let's calculate

          F = m (13.056 + 18.056) / 0.76

          F = m 40.937

now we can use Newton's second law

          F = m a

          m 40.937 = m a

          a = 40.937 m / s²

An airliner flys 950 miles from S.B. to Denver at 500 mph. How long does it take to fly to
Denver? time = distance / speed

Answers

Answer:

114 minutes

Explanation:

hope this helps. I just divided 950 by 500 that is 1.9 and 1.9 in minutes is 114. gl

What is the speed of a person travels 1 meters in 4 seconds

Answers

Answer:

4 m/s

Explanation:

multiply m ang s para makuha yung speed ng isng object ....

The answer would be 0.25 m/s. Use the speed formula which is distance over time.

An object with a mass 4.0 kg has a momentum of 64 kgm/s . How fast is the object traveling ?

Answers

Answer:

The object will travel at the speed of 16 m/s.

Explanation:

Given

Mass m = 4.0 kg Momentum p = 64 kgm/s

To determine

How fast is the object traveling?

Important Tip:

The product of the mass and velocity of an object —  momentum.

Using the formula

[tex]p = mv[/tex]

where

m = massv = velcityp = momentum

Thus, in order to determine the speed of the object, all we need to do is to substitute p = 64 and m = 4 in the formula

[tex]p = mv[/tex]

[tex]64\:=\:4\times v[/tex]

switch the equation

[tex]\:4\times \:v\:=64[/tex]

divide both sides by 4

[tex]\frac{4v}{4}=\frac{64}{4}[/tex]

simplify

[tex]v=16[/tex] m/s

Therefore, the object will travel at the speed of 16 m/s.

Oscillations of electricity and magnetism create ________________________ waves, which include visible light waves.

Answers

Explanation:

radio waves, which include visible light waves.

A 100-newton object is lifted 100 meters in 100 seconds. What is the
power generated in this situation?

Answers

Power equation: Work / time

Work = F * distance
W = 100N * 100

10000 / 100 = 100

The power generated is 100 watts.

How many straight edges does a cube have

Answers

12 is correct

Explanation: it's a cube

Answer:

12

Explanation:

If Jay pushes on a box with a force of 20 N to the right and Bradley pushes on a box with a force of 15 N to the left, what is the net force on the box?

Answers

Answer:

Net force = 5N

Explanation:

Jay = 20N to the right

Bradley = 15N to the left

To find the net force;

Since the forces are being applied to the box in opposite direction i.e acting in opposite direction, we would subtract them.

Net force = 20 - 15

Net force = 5N

Therefore, the net force on the box is 5 Newton.

What is the velocity of a 0.8kg ball that has a momentum of 3 kg*m/s?

Answers


The velocity is 3.75

All types of electromagnetic radiation travel at the speed of light. True or False?

Answers

Answer:

True

Explanation:

Generally speaking, we say that light travels in waves, and all electromagnetic radiation travels at the same speed which is about 3.0 * 108 meters per second through a vacuum.

Answer:

absolutely true

Explanation:

as it travels in a speed of 30×108 m per second

As wavelength decreases, frequency and energy _________________;
a) increase b) decreases c) remain the same

Answers

Answer:

Increase

Explanation:

The best way for me to visualize the relation between wavelength, frequency, and energy is to think about actual ocean waves. Wavelength is a measure of the distance between two equivalent points on consecutive waves (think wave peak to wave peak). Lets say you are building a sand castle and want to see how many waves hit your castle over a period of 10 seconds. If the distance between each wave is 10 ft and the wave is traveling at 1 foot per second then you will only have one wave hit your castle. If the wavelength is 1/2 that (5 ft) then you will have 2 waves hit your castle in the same amount of time. This is the same concept behind waves in physics. The smaller the distance between each wave, the more waves and therefore more energy that will be delivered.

The density of an object can be found using
(A) Pascal's Law
(B)Hooke's Law
(C)Archimedes' Principle
(D)Principle of floatation

Answers

Principle of floatation.

If the mass of a 1.8 g paperclip was able to be completely converted to energy, how much energy would you obtain?

Answers

Answer:

[tex]E=1.62\times 10^{14}\ J[/tex]

Explanation:

Given that,

The mass of the paperclip, m = 1.8 g = 0.0018 kg

We need to find the energy obtained. The relation between mass and energy is given by :

[tex]E=mc^2[/tex]

Where

c is the speed of light

So,

[tex]E=0.0018\times (3\times 10^8)^2\\\\E=1.62\times 10^{14}\ J[/tex]

So, the energy obtained is [tex]1.62\times 10^{14}\ J[/tex].

Guys please help me I am dead confused

Answers

Answer:

A

Explanation

The diagram in A. contain a variable resistor which can be use to vary the pd from the 6v battery

An electromagnetic wave Group of answer choices a.Never moves b.Can travel through empty space or matter. c. Can travel only through empty space. d. Cannot travel through matter

Answers

Answer:

b

Explanation:

because electromagnetic waves can travel in vacuum as they don't require particles to transfer energy from one point to another. they can also travel through mediums such as the wall or air, if not how do radio waves transfer energy in this hyper advanced world? through the air

hope this helps

please mark it brainliest

15. Which of the following is the correct electron configuration for neon (10Ne)?
A. 1s 2s22p
C. 184 2s2 3s2 2p?
B. 1s 2s2 3s2 2p4
D. 152 282 3s2p5​

Answers

Answer:

1s2,2s2,2p6 or (He) 2s2 2p6

Please help!!

A shopping bag can provide a force of 65 N before breaking. A shopper puts 5 kg of groceries in the bag. If the shopper tries to lift the bag with an upward acceleration of 2 m/s/s, will the bag break?

Answers

Answer:

the bag DOES NOT BREAK,  F = 59 N

Explanation:

For this exercise, let's use Newton's second law, let's set a reference frame with the positive direction up

           F -W = m a

the mass of the groceries is m = 5 kg, the weight is

           W = m g

indicate the acceleration a = 2 m / s², let's find the force

          F = mg + ma

          F = m (g + a)

let's calculate

          F = 5 (9.8 + 2)

          F = 59 N

         

          F <65 N

as the force with which it pulls the bag less than the breaking force the bag DOES NOT BREAK

A cat pushes a 0.25-kg toy with a net force of 8n. According to Newton's second law of motion, what is the acceleration of the ball?

Answers

Sorry sorry forgot

Answer:

a = 32 m/s sq

Explanation:

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