You are in an airplane circling an airport at a speed of 600 km/hour on a circular path of radius 3 km. A stewardess accidentally drops a cup , of mass .1 kg, on the floor. She releases it from rest at a perpendicular distance of 1.5 m from the floor. (That is to say, the shortest distance from the cup to a spot on the floor is 1.5 m.)

a) Show that the cup hits the closest point on the floor when it falls to good approximation.

b) What is its speed, relative to the airplane, when it hits the floor? (That is what is the magnitude of the velocity of the cup, measured in the reference frame of the airplane?) Show that it is somewhat higher than it would be if the cup dropped the same distance in an inertial reference frame.

Answers

Answer 1

Answer:

a) (0.0004·[tex]\mathbf{\hat i}[/tex] - 1.55·[tex]\mathbf{\hat j}[/tex]) m

b) 0.31 km/h·[tex]\mathbf{\hat i}[/tex] + 0.00008 km/h·[tex]\mathbf{\hat j}[/tex]

Explanation:

The given parameters are;

The circular motion of the airplane = 600 km/hour

The radius of the circular path = 3 km

The time it takes the cup to reach the floor of the airplane is given as follows;

s = u·t + 1/2·g·t²

1.5 = 1/2 × 9.81 × t²

t² = 1.5/(1/2 × 9.81)

t = √(1.5/(1/2 × 9.81)) ≈ 0.553 s

The location of the plane in 0.533 s is 600 km/hour × 0.533 s ≈ 83.83 meters

The angular velocity, ω = v/r = 600 km/hour/3 km = 200°/hour

Therefore, the angle covered in 0.533 s is 0.533 s × 200°/hour ≈ 0.0296°

tan(0.0296)*3000 ≈ 1.55 m vertical

3000 - cos(0.0296)*3000 ≈ 0.0004 m horizontal

The location of the cup relative to the plane will be

0 - (-0.0004·i + 1.55·j) = 0.0004·i - 1.55·j m

b) The speed of the cup relative to the plane when it hits the floor is given by the

The speed of the plane = 600 km/hour × cos(90 - 0.0296)j + 600 km/hour × sin(90 - 0.0296)j = -0.31 km/hour·i + 599.99 km/hour·j

The speed of the cup = 600 km/hour·j

The relative speed = 600 km/hour·j - ( -0.31 km/hour·i + 599.99 km/hour·j) = 0.31 km/hour·i + 0.00008 km/hour·j

The relative speed of the cup to the plane = 0.31 km/h·i + 0.00008 km/h·j

Therefore, given that there will be no relative speed in an inertia frame, the speed of the cup relative to the plane will be higher than when dropped in an inertia frame


Related Questions

The mining-resource cycle determines the use of ore materials. Which step is not part of the cycle?

A)
exploring and extracting ores
B)
refining ores and creating products from ore materials
C)
marketing and selling products that use ore materials
D)
recycling and disposing of wastes from the steps and the products

Answers

Answer:

c) marketing and selling products that use ore materials

A penny dropped into a wishing well reaches the bottom in 2.50 seconds. What was the velocity at impact?

Answers

Answer:

Taking it was dropped with inital velocity of 0m/s.

v = u+at

v = 0 + 9.8*1.5

v = 14.7s

(a=9.8m/s^2 << That's the acceleration due to gravity)

Explanation:

does anyone wanna premarital seggs?

in an observational study researchers try not too ?

Answers

They try not to interfere or play any part j what happens rather they just look at it and see the results

They try not to influence the subjects

Explanation:

HELP what is the answer to this question?

Answers

Answer:

b

Explanation:

Zinc can not be changed into a simpler substance by a chemical or physical process. Therefore, zinc is classified as:
a gas.
a molecule
an element.
a compound.

Answers

The correct answer I think is a compound

I'm pretty sure its compound

A 3,000kg car rests on rough horizontal ground. A rope is
attached to the car and is pulled with a force of 11,000N to the
left. As a result, the car accelerates at 3 m/s2. The coefficient of
sliding friction (1) between the car and the ground is?

Answers

Answer:

0.07

Explanation:

Huge Brain

Coefficient of friction between the car and the ground will be 0.07.    

    Given in the question,

Mass of the car 'm' = 3000 kgForce 'F' by which the car is pulled = 11000 NAcceleration 'a' by which the car gets accelerated = 3 meters per second²

Force applied on the car by which the car is accelerated,

F = ma

  = 3000 × 3

  = 9000 N

Force [tex]F_k[/tex] to overcome the friction = 11000 - 9000

                                                         = 2000 N

Gravitational force F' on the car = mg

                                                       = 3000(9.8)

                                                       = 29400 N

Since, [tex]\mu_k=\frac{F_k}{F'}[/tex]

                [tex]=\frac{2000}{29400}[/tex]

                [tex]=0.068[/tex]

                ≈ 0.07

   Therefore, coefficient of friction between the car and the ground will be 0.07.    

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You are given directions to a friend’s house from your school. They read: “Go east one block, turn north and go 4 blocks, turn west and go 1 block, then go south for 2 blocks.” Using your school as the origin, draw a map of these directions on a coordinate plane. What are the coordinates of your friend’s house?

Answers

Answer:(0,2)

Explanation:

Take origin (0,0) as point A and when you move one block east to point B then coordinates becomes (1,0)

Now you move 4 blocks north to point C then the coordinates of point C becomes (4,1)

Similarly, You move 1 block west to point D such that its co-ordinates becomes (0,4)

Finally you move from D to E, 2 blocks south such that point E becomes (0,2)

So, E is the friend's house and its coordinates are (0,2)

It can be diagramatically be represented by figure given below

Sorry if it’s blurry. Please help. I can’t mess up.

Answers

answer:

MAXIMUM SPEED

explanation:

IM SURE THAT IS THE ANSWER

What does Newton's third law describe?
A. Equal and opposite forces
B. How the amount of mass influences the amount of force needed
to move an object
C. The tendency of moving objects to stay in motion
D. The attractive force between two objects due to their masses

Answers

A. Equal and opposite forces

Explanation:
History law states that for every action (force) in nature there is an equal and opposite reaction. In other words, if object A exerts a force on object B, then object B also exert an equal and opposite force on object A

5 points Place the descriptions of the atomic models in order from oldest to most-recent. Oldest Atomic Model 1 Solid ball, no subatomic particles. 2 A dense nucleus with protons and neutrons is in the center of the atom. The electrons travel around the nucleus in distinct energy levels. 3 # The atom is mostly empty space. A dense nucleus with protons and neutrons is in the center and electrons travel around it randomly. 4 Solid ball of positive materials with electrons scattered throughout. (Plum Pudding Model) Сл A dense nucleus with protons and neutrons in the center of the atom. The electrons are found in "electron clouds" which surround the nucleus. Electron cloud show where electrons are likely to be, but not exactly where they are. Most-recent atomic model. How would I put them in order?​

Answers

Answer:

1 Solid ball, no subatomic particles.

4 Solid ball of positive materials with electrons scattered throughout. (Plum Pudding Model)

3 # The atom is mostly empty space. A dense nucleus with protons and neutrons is in the center and electrons travel around it randomly.

2 A dense nucleus with protons and neutrons is in the center of the atom. The electrons travel around the nucleus in distinct energy levels.

Сл A dense nucleus with protons and neutrons in the center of the atom. The electrons are found in "electron clouds" which surround the nucleus. Electron cloud show where electrons are likely to be, but not exactly where they are.

Explanation:

1 Solid ball, no subatomic particles. This model was proposed by some Greek Philosophers and John Dalton in 1803. That matter was made up of small indivisible substances called atoms.

4 Solid ball of positive materials with electrons scattered throughout. (Plum Pudding Model). This model was proposed by JJ Thomson in 1904. That the atom contained a large positively charged ball with negative charges scattered about.

3 # The atom is mostly empty space. A dense nucleus with protons and neutrons is in the center and electrons travel around it randomly. This model was proposed by Ernest Rutherford in 1911. The center of the atom was dense and positively charged with protons and neutrons surrounded by electrons orbiting it and most of the space between the nucleus and the electron orbit empty.

2 A dense nucleus with protons and neutrons is in the center of the atom. The electrons travel around the nucleus in distinct energy levels. This model was proposed by Niels Bohr in 1913. This was due to the fact that atoms only emit light at certain wavelengths which would imply that they have discrete energy levels which the electrons are contained in.

Сл A dense nucleus with protons and neutrons in the center of the atom. The electrons are found in "electron clouds" which surround the nucleus. Electron cloud show where electrons are likely to be, but not exactly where they are. This model was proposed by Erwin Schrodinger in 1926 through the solution of the Schrodinger wave equation. The position of the electron is assumed to to be a probability in an electron cloud.

how much time will it take to do 33j of work with 11 w of power

Answers

Time required : 3 s

Further explanation

Power is the work done/second.

[tex]\tt P=\dfrac{W}{t}\\\\P=power,j/s,watt\\\\W=work, J\\\\t=times=s[/tex]

 

To do 33 J of work with 11 W of power

P = 11 W

W = 33 J

[tex]\tt t=\dfrac{W}{P}\\\\t=\dfrac{33}{11}\\\\t=\boxed{\bold{3~s}}[/tex]

At which point(s) does the ball have 25% potential energy and 75% kinetic energy?*

Answers

Answer:

hey

Explanation:

hey

a car travels 200m in 30 s and 400m in the next 90s. Whats the average speed?

Answers

Answer:

300m per minute or 5m per second

How plants are in the
Solora System

Answers

8 not counting Pluto 9 if counting Pluto, Pluto is technically not a planet anymore so best dentures 8.

Answer:

there was 9 but pluto got kicked out of the solar System so 8

If a football player has a weight of 600 N on earth, what would his weight be on the moon?

Answers

Answer:

99n

Explanation:

you throw a snowball horizontally. it hits a target 2 meters away. you notice that it hit .9 m below were u aimed. with what horizontal velocoty did you throw the ball

Answers

Answer:

The target is 2 meters ahead of you.

If you throw the snowball with a velocity S, then the time that the snowball will need to hit the target is:

2m/S = T

Now let's analyze the vertical problem.

The only force acting on the snowball is the gravitational force, then the acceleration will be -g = -9.8m/s^2.

a(t) = -9.8m/s^2

For the vertical velocity, we need to integrate over time and get:

v(t) = (-9.8m/s^2)*t + v0

Where v0 is the initial vertical velocity, in this case is zero because the ball is thrown horizontally.

v(t) = (-9.8m/s^2)*t

For the vertical position, we integrate again over time.

p(t) = (-4.9m/s^2)*t^2 + p0.

Now, we know that when the ball hit the target, it hits 9 meters below the desired point (where the desired point is p0), so p(2m/S) = p0 - 9m.

Then we have:

(-4.9m/s^2)*(2m/S)^2 = -9m.

We need to solve this for S.

(-4.9m/s^2)*4m^2/-9m = S^2

2.178 m^2/s^2 = S^2

√(2.178 m^2/s^2) = S = 1.48 m/s

The horizontal velocity is 1.48 m/s

what definition of a compresssion is correct?

A. region of high altitude in a medium caused by a passing wave
B. region of high pressure in a medium caused by a passing wave.
C. region of low pressure in a medium caused by a passing wave.
D. region of zero pressure in a medium caused by a passing wave

Answers

Answer:

B

Explanation:

Compression is the region of high pressure in a medium caused by a pressure wave.

What is Compression?When a physical force presses inward on an object, causing it to become compacted, that is when compression force (also known as compressive force) happens. The atoms and molecules of the item move around in relation to one another throughout this process. Depending on the kind of material receiving the compressive stress, this change may be either temporary or permanent. Depending on the direction or location of the compressive force imparted to the object, other outcomes may also ensue.According to Newton's Third Law of Motion, there is an equal and opposite reaction force for every action force. Both ends of an object that is lying on a surface are subjected to the same amount of compression force.The physical shape of the spring gets compacted as compression force is applied to it. The spring immediately extends outward and returns to its original shape when the compression is released. This can be a dynamic reaction, depending on the amount of force used and the spring's own malleability.

To learn more about compression, refer to https://brainly.com/question/7602497

#SPJ2

(02.04 LC) Which statement best describes the rate of dissolving? (2 points) Group of answer choices All substances dissolve at the same rate. All substances dissolve at a fast rate. The rate of dissolving may be fast or slow. Rates of dissolving are usually slow.

Answers

Answer:

C. The rate of dissolving may be fast or slow.

Explanation:

When a solute is added to a solvent, the rate of dissolving may be fast or slow. This is determined by the temperature of the solvent.

A high temperature of solvent can cause an increase in the rate of dissolving a solute or substance in it, while a low temperature of solvent causes a decrease in the rate of dissolving a solute or substance in a solvent.

Therefore, the rate of dissolving may be fast or slow.

Momentum is usually not exactly conserved in a real world demonstration of momentum conservation. What is a possible reason for this fact?

Answers

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

The gland which is like a medium for the passage of the sperms is known as

Answers

Answer:

seminal glands or vesicular glands

Earth’s gravitational force
(1 Point)
Is the same strength, no matter where you are on Earth.
Does not affect objects orbiting the Earth.
Fluctuates or changes depending on your location on Earth.
Changes the mass of an object.

Answers

Fluctuates or changes defending on your location on Earth.

When the light turns green, Mark accelerates straight down the road at 1.8 m/s2 for 8 seconds. What is his final velocity at the end of those 8 seconds?

Answers

Answer:

14.4m/s

Explanation:

To calculate the final velocity (V), we use the formula:

v = u + at

Where; v = final velocity (m/s)

u = initial velocity (m/s)

a = acceleration (m/s²)

t = time (s)

According to the provided information in this question, v = ?, u = 0m/s, a = 1.8m/s², t = 8s

Hence, v = u + at

v = 0 + (1.8 × 8)

v = 0 + 14.4

v = 14.4m/s

Therefore, his final velocity at the end of those 8 seconds is 14.4m/s.

How to do p=hdg
I don’t understand it all please help

Answers

Depth to H, Density to D, Area to A, acceleration due to gravity to G. Volume (v)= A x h. P= weight (w)/Area (a) =mass (m) x acceleration due to gravity. A [ w= mxg ] = density (d) x Volume (v) x g. Hope it helps.

Choose a sport you like, such as football or gymnastics. Describe how a high level of flexibility would affect your performance in that sport. Consider the benefits in many aspects of the sport.

Answers

The level of flexibility will affect my performances in football. Football

requires some level of flexibility to do certain things.

Flexibility will enable me change speed and direction easily when there is a

counter attack by the opponents. It will also assist in using some techniques

such as adding more curve on the football with the feet in order to score

goals.

Flexibility will also ensure that there will be lesser injury concerns because there will be less sprains or other muscle related injuries.

Read more on https://brainly.com/question/18472626

what caused earths continents to drift apart?

Answers

Answer:

bada bop boop pow

Explanation:

Which of the following information about motion can be determined by looking at a position vs. time graph that is a straight line?
a.frame of reference
b.average acceleration
c.velocity
d.direction of force applied

Answers

Answer:

Velocity

Explanation:

If the position-time graph of the motion of an object is a straight line, it would mean that the object is moving uniformly. The velocity or the slope of the object is constant in such case. If the slope is curved line, it means that the velocity is not constant.

Hence, the correct option is (c).

What is similarity?

Answers

Answer:

same things

Explanation:

Is it true to say there are forces acting on an object that is traveling at 20 m/s in a
straight line?

Answers

Answer:

Its true i think

Explanation:

There don’t have to be forced acting on something that is travelling at a constant velocity (Newton’s 1st Law).

If forced are acting they must be balanced forced with Net force = zero.

kenneth warmed up a 100- ml sample of air in and expandable container. he displayed the resluts in the following graph. the resluts formed a straight line, so he extended the line the full length of the graph

Answers

Answer:

300,000

Explanation:

Suppose a pendulum starts with a potential energy of 100 J. Assuming the pendulum has a height of 0 m at the bottom of its swing, what is its maximum kinetic energy?

Answers

Answer:

100...................

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