an airplane is flying at 1500 m/sec horizontally from a height of 500 m. it accidentally drops a package. a. how far does the package travel horizontally before hitting the ground? b. how fast is the package moving horizontally when it hits the ground? c. how fast is the package moving vertically when it hits the ground? d. what is the resultant velocity when it hits the ground?

Answers

Answer 1

a. The package travels approximately 750 meters horizontally before hitting the ground.

b. The package is moving horizontally at the same speed as the airplane, which is 1500 m/s, when it hits the ground.

c. The package is moving vertically at a speed of approximately 49 m/s when it hits the ground.

d. The resultant velocity when the package hits the ground is approximately 1500 m/s horizontally and 49 m/s vertically.

a. The horizontal distance traveled by the package is determined by the horizontal velocity of the airplane and the time it takes for the package to reach the ground. Since the package is dropped vertically, the time it takes to reach the ground can be found using the equation

d = 1/2 * g * t²,

where d is the vertical distance and g is the acceleration due to gravity. Substituting the given values, we find

t ≈ 10 s. Therefore, the horizontal distance traveled is given by

d = v * t, where v is the horizontal velocity of the airplane. Thus,

d ≈ 1500 m/s * 10 s

d = 750 m.

b. The package maintains the same horizontal velocity as the airplane, so its horizontal speed when it hits the ground is 1500 m/s.

c. The vertical speed of the package when it hits the ground can be found using the equation

v = g * t,

where g is the acceleration due to gravity and t is the time of flight. Substituting the values, we get

v ≈ 9.8 m/s² * 10 s

= 98 m/s.

d. The resultant velocity when the package hits the ground can be calculated using the Pythagorean theorem. The magnitude of the resultant velocity is given by the square root of the sum of the squares of the horizontal and vertical velocities. Therefore, the resultant velocity is approximately

= √((1500 m/s)² + (49 m/s)²)

= √(2250000 m²/s² + 2401 m²/s²)

≈ √(2252401 m²/s²)

≈ 1500.80 m/s.

The direction of the resultant velocity is the same as the horizontal direction.

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Related Questions

I WILL GIVE BRAINLIEST!!!
The Earth's diameter at the equators is ____ its diameter at the poles.

equal to

less than

greater than

Answers

i believe the answer greater than

13. Which compound is most reactive?
ethene
ethyne
ethane

Answers

Answer:

Ethyne consists of a triple bond that is most easier to be broken as compared to that of ethyne with a double bond and benzene single bonds. Therefore ethyne is most reactive among the given options.

Explanation:

Answer: Ethyne

Explanation:

why do the lights in your home come on almost instantaneously when you turn on the switch?

Answers

Answer:

here you go

Explanation:

Why do your lights actually come on almost instantaneously? ... Wiring the house in parallel does not make a difference – there is no current flowing through the light bulb when the switch is off no matter how the house is wired. If there were a current already, the light would be on!


A skateboarder traveling at 7.0 meters per second rolls to a stop at the top of a ramp in 3.0
seconds. What is the skateboarder's acceleration?

Answers

The acceleration of the skateboarder is calculated out to bbe -2.33 m/s^2, when travelled at 7 meters per second.

What is acceleration and how it calculated out to be -2.33 m/s^2?As we have studied earlier also acceleration is the measure of change in velocity per unit time.Here is given the initial velocity 7 m/s , it is coming to a stop at the top of a ramp . And the time is given 3 seconds.Using the equation a = final velocity - initial velocity / time , we get the acceleration to be -2.33 m/s^2.The skateboarder's acceleration when travelled at 7 meters per second rolls to a stop at the top of a ramp in 3 seconds is calculated out to be -2.33 m/s^2.

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Why is it that an object can accelerate while
traveling at constant speed, but not at constant velocity?

Answers

For the same reason that you can skate around a curve at constant speed but not with constant velocity.

The DIRECTION you're going is part of your velocity, but it's not part of your speed.

If the DIRECTION changes, that's a change of velocity.

The object doesn't have to change speed to have a different velocity. A change of direction is enough to do it.

And any change of velocity is called acceleration.

a 10,000-kg rocket blasts off from earth with a uniform upward acceleration of 2.00 m/s2 and feels no air resistance. the upward thrust force its engines must provide during this acceleration is closest to: a. 118,000 N, b. 78,000 N. c. 980,000 N. d. 20,000 N.

Answers

Upward thrust force its engines must provide during this acceleration is closest to 118000 N

To solve this exercise we use the concept given in Newton's second Law in which it is specified that

F = ma

Where,

F = Force

m = mass

a = Acceleration

In the given problem the rocket blast off from earth with a uniform upward acceleration of 2m/s²

Taking into account that on earth the force of gravity also acts, which has a value of 9.8m/s², we have to

F = m(a + g)

F = 10000(2+9.8)

F = 118000 N

Hence, upward thrust force its engines must provide during this acceleration is closest to 118000 N

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A bar magnet is cut into two pieces from the middle as shown in the figure. Mark the poles on these magnets if it is further broken into smaller pieces?

Giving brainliest!

A bar magnet is cut into two pieces from the middle as shown in the figure. Mark the poles on these magnets

Answers

If we cut the magnet into smaller pieces as we can see in the image attached to the question then each of the ends of the smaller magnets would form a north and south pole respectively.

What is a magnet?

The term magnet can be used to describe the material that is able to pick up any magnetizable material. We have to note that a magnet is able to create a magnetic field around it. The magnetic field is the vicinity where the impact of the magnet can be felt.

We know that a magnet has two poles, the north pole and the south pole. These are the points where the influence of the magnetic field is greatest In this discussion, we must keep it at the back of our minds that the influence of the magnetic force is stronger at the ends of the magnet than it is at the center of the magnet as it were.

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A generator normally produces ac because the magnetic field experienced by interior coils _________.

Answers

A generator normally produces ac because the magnetic field experienced by interior coils is constantly changing.

This changing magnetic field induces an alternating current in the interior coils.

A generator normally produces AC (alternating current) because the magnetic field experienced by the interior coils continuously changes direction. Here's a step-by-step explanation:

1. A generator contains interior coils, also known as the armature, which are wound around a rotating part called the rotor.
2. Surrounding the rotor are magnets that produce a magnetic field.
3. As the rotor spins within the magnetic field, the interior coils experience a change in the magnetic field direction.
4. This changing magnetic field induces an electromotive force (EMF) in the interior coils.
5. The induced EMF causes the electric current to alternate direction, resulting in the production of AC.

In summary, the continuous change in the direction of the magnetic field experienced by the interior coils of a generator results in the production of alternating current (AC).

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I WILL GIVE U BRAINLIST layers: Earth:: ___: the Sun
A: Milky Way galaxy
B: Zero gravity
C: Solid surface
D:Gas

Answers

Answer:

There are layers on the Earth.  There is gas on the Sun.

This means that the answer is...

D: Gas

What is the law of large numbers and the central limit theorem?

Answers

The Law of Large Numbers is a statistical concept that implies that as the number of trials of a random experiment increases, the more accurate the average outcome becomes to the theoretical outcome.

In contrast, the Central Limit Theorem is a statistical concept that indicates that the distribution of sample means calculated from repeated sampling from a population, regardless of the population's distribution, will always be normal distribution.

The Law of Large Numbers and the Central Limit Theorem are related in the sense that they both involve making inferences about the population from the sample. The Law of Large Numbers implies that as the sample size grows bigger, the sample average will approach the population average. The Central Limit Theorem is concerned with sample means and states that no matter the population's distribution, the distribution of sample means will approach a normal distribution as the sample size increases.

The Law of Large Numbers and the Central Limit Theorem are two of the most significant theorems in probability theory, and they play a significant role in data analysis, hypothesis testing, and statistical inference.

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Which of the following are produced by the process of cellular respiration? A. Sugar and carbon dioxide B. Carbon dioxide and water C. Light energy and water D. Carbon dioxide and oxygen

Answers

Answer:

B carbon dioxide and water

Your answer should be

B

because of life-sustaining activities

the pressure in a water pipe in the ground floor of a building is 4×10⁵ Pa and three floors up is 2×10⁵. What is the difference in height between the ground floor and the third floor? Density of water=1×10³ kgm-³​

Answers

The difference in height between the ground floor and the third floor is

What is gauge pressure?

The pressure measured by the pressure gauge is called the gauge pressure.

Given is the the pressure in a water pipe in the ground floor of a building is 4×10⁵ Pa and three floors up is 2×10⁵ Pa. Density of water ρ = 1×10³ kg/m³​

From the Bernoulli's theorem,

ΔPg = ρgΔh

( 4×10⁵ -  2×10⁵) = 1000 x 9.81 x Δh

Δh = 20.4 m

Thus, the difference in height is 20.4 m

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How would the gravity forces change if the Earth and Sun were moved far apart? Increase, stay the same, or decrease.

Answers

But on an orbital sense, the gravitational force between two objects depends on the mass of both the larger and the smaller object. ... The pull between Earth and Sun grows weaker, and the planets would drift farther from the Sun, spending much more time at much greater distances from the Sun.

28,800 C of charge flow through a lamp every hour. Calculate the current used by this lamp

Answers

This lamp's estimated current consumption is 8 amperes.

What is electric current ?

Electric current is the rate of charge (electron) passing in a conductor. The SI unit for electric current is the ampere. As current does not obey vector addition, it is a scalar quantity.

Given information:

amount of charge flowing through the lamp, Q = 28800 C;

The charge flow time was t = 1 hour = 3600 seconds.

Hence, the current passing through the bulb as a result.

I = Q/t

= 28800/3600 ampere,

= 8 ampere

Therefore, this lamp consumes 8 amperes of current.

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where do reduction and oxidation occur in an electrolytic cell

Answers

Answer:

Oxidation occurs at the anode and reduction occurs at the cathode

Explanation:

A 500. Kg cat is driving with a speed of 4.00 m/s find the momentum of the car

Answers

A 500. Kg car is driving with a speed of 4.00 m/s, the momentum of car is 2000 kg.m/sec

What is momentum?

Momentum is characterized as the intensity of a body's motion. As momentum relies on both velocity and the direction of the body's motion, it is quantified by "mass velocity". Because velocity is a vector, momentum is a also a vector quantity, whereas mass is a scalar number.

Given that,

mass of car (m) = 500 kg

velocity of car (v) = 4.00 m/sec

Thus, momentum (p) = m × v

p = 500 kg × 4.00 m/sec

p = 2000 kg.m/sec

Thus, momentum of car is 2000 kg.m/sec

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The following statements that correctly describe the modulus of elasticity, E:

Answers

The modulus of elasticity, E, is a measure of a material's stiffness and ability to resist deformation when a force is applied. It is defined as the ratio of stress to strain within the elastic range of the material. In other words, it describes how much a material will stretch or compress under a given force.


The modulus of elasticity is important because it allows engineers to predict how materials will behave under different conditions, such as temperature changes, loading conditions, and other factors. It also helps to determine the maximum load a material can withstand before it starts to deform or break.

In detail, the modulus of elasticity is a fundamental property of a material that describes its ability to resist deformation when subjected to external forces. It is calculated by measuring the stress and strain of the material and using the equation E = σ/ε, where σ is stress and ε is strain.

The modulus of elasticity is important in many areas of engineering, such as structural design, materials science, and mechanics. It helps to ensure that structures and materials are designed and tested to withstand the loads and stresses they will be subjected to, and it provides a basis for comparing different materials and choosing the best one for a particular application.

In summary, the modulus of elasticity, E, is a material property that describes its stiffness and resistance to deformation. It is correctly determined using Hooke's Law and is crucial for predicting the mechanical behavior of materials when subjected to stress.

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A 40-gram block of copper at 95*C is placed in 105 g of water at an unknown temperature. After equilibrium is reached, the final temperature of the water is 24*C. What was the initial temperature of the water?

Answers

The initial temperature of the water was approximately 81.67°C.

To solve this problem, we can apply the principle of energy conservation. The heat lost by the copper block is equal to the heat gained by the water.

The heat lost by the copper block can be calculated using the formula: Q1 = m1 * c1 * ΔT1,

where m1 is the mass of the copper block (40 g), c1 is the specific heat capacity of copper (0.39 J/g°C), and ΔT1 is the change in temperature (final temperature - initial temperature of the copper block).

The heat gained by the water can be calculated using the formula: Q2 = m2 * c2 * ΔT2, where m2 is the mass of the water (105 g), c2 is the specific heat capacity of water (4.18 J/g°C), and ΔT2 is the change in temperature (final temperature - initial temperature of the water).

Since the copper block and the water reach equilibrium, Q1 = Q2. Therefore, we can equate the two equations:

m1 * c1 * ΔT1 = m2 * c2 * ΔT2

Substituting the given values:

(40 g) * (0.39 J/g°C) * (95°C - initial temperature) = (105 g) * (4.18 J/g°C) * (24°C - initial temperature)

Simplifying the equation and solving for the initial temperature of the water gives us approximately 81.67°C.

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which statement illustrates how progress in engineering has affected the natural enironment

Answers

The statement that illustrates how progress in engineering has affected the natural environment is extracting mineral resources with modern mining equipment removes fertile topsoil.

What is the Natural Environment?

The natural environment may be defined as anything that can be present in the surroundings of living entities whether it is a biotic or abiotic factor.

The utilization of contemporary mining tools terminates fertile topsoil and admiringly impacts the fertility of the soil.  It is tough to rebuild topsoil and modern mining tools constantly damage soil fertility.

Advancement in engineering has influenced the natural environment and mining is one of the most accepted measures of this.

The complete question is as follows:

Extracting mineral resources with modern mining equipment removes fertile topsoil.Mining companies use modern equipment to extract mineral resources more efficiently.Modern mining equipment has improved the health and safety of workers.Modern mining practices provide materials that can be used for technological advances.

Therefore, it is well described above.

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Two objects traveling at the same speed have different velocities if they

Answers

Objects have the same velocity only if they are moving at the same speed and in the same direction. Objects moving at different speeds, in different directions, or both have different velocities. ... They represent objects that have different velocities only because they are moving in different directions.

Compare and contrast its wavelength frequency and energy with those of other regions of the ems.

Answers

The electromagnetic spectrum demonstrates the relationships between energy, wavelength, and frequency.

The electromagnetic radiation bands can be used to define the electromagnetic spectrum. The gamma rays, which have the shortest wavelengths but the highest frequencies, at the bottom and radio waves, which have the longest wavelengths and the lowest frequency, at the top. The visible spectrum is depicted in magnified form. It is an extremely narrow band of wavelengths, frequencies, and energy that makes up the entire electromagnetic spectrum.

For instance, observe that the threshold between microwaves and radio waves is around 10 in the wavelength column. Consider the wavelength column, where the separation between microwaves and radio waves is approximately 10 cm. The energy carried by these waves ranges from 1.24 eV (microelectron volts) to 1.24 MeV, with 3GHz (gigahertz) being the corresponding value in the frequency column.

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What are the rated voltages and currents of the primary and the secondary windings (considered independently)

Answers

The rated voltages and currents of the primary and secondary windings, when considered independently, depend on the specific transformer. The rated voltage of the primary winding refers to the voltage at which the transformer is designed to operate on the input side.

It is typically determined based on the power system voltage level in which the transformer is connected. The rated current of the primary winding is the maximum current that the primary winding can safely carry without exceeding its design limits.
Similarly, the rated voltage of the secondary winding is the voltage at which the transformer is designed to deliver power on the output side. This voltage level is determined based on the desired output voltage for the intended application. The rated current of the secondary winding is the maximum current that the secondary winding can safely supply to the connected load.

It is important to note that the rated voltages and currents of the primary and secondary windings of a transformer are specified by the manufacturer and can vary depending on the specific transformer design and application.

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5. Zone of which g Down the depth below Earths surface at​

Answers

Answer:

The zone of which g (gravity) decreases with depth below the Earth's surface is the mantle, which is the layer of Earth in between the crust and the core. The mantle makes up around 84% of the Earth's volume, and extends from around 5 km below the Earth's surface to a depth of 2900 km.

The mantle is composed of solid rock, with the outermost parts of it being composed of more dense, rigid rock. As we go deeper into the mantle, the rock becomes increasingly less dense. The decrease in density along with the increase in pressure creates a decrease in g-force with depth. The decrease in g-force has been measured to continue down to a depth of 2,900 km, at which point the g-force levels off.

chemical formula Periodic acid​

Answers

Answer:

the chemical formula for periodic acid is HI04

I hope this helps you

:)

Which of the following is not a component of soil? a. Organic material b. Minerals c. Gases d. None of the above Please select the best answer from the choices provided A B C D.

Answers

Answer:

It's D: None of the above.

Explanation:

I looked up the components of soil and all of them were, and I also took the test and got it correct.  

A 3000 kg truck moving rightward with a speed of 5 km/h collides head on with a 1000 kg car moving leftward with a speed of 10 km/h.

Answers

The momentum of the system after collison is  1.25 Km/hr.

What is the momentum?

Momentum is a measure of an object's motion, defined as the product of its mass and velocity. In physics, it represents the tendency of an object to remain in motion or to change its motion, as a result of an external force.

We know that;

Momentum before collision = Momentum after collision

(3000 * 5) - (1000 * 10) = (3000 + 1000) v

v is the common velocity after collision

v = 15000 - 10000 = 4000v

v = 5000/4000

v = 1.25 Km/hr

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Missing parts;

A 3000 kg truck moving rightward with a speed of 5 km/h collides head on with a 1000 kg car moving leftward with a speed of 10 km/h. The two vehicles strike together after the collision. Determine the post-collision velocity of the car and truck.​

Not really understanding this, wouldn't mind some help. : )

Not really understanding this, wouldn't mind some help. : )

Answers

Explanation:

Given

Mass (m) = 1200 kg

Acceleration (a) = 3 m/s²

Force (F) = ?

We know

F = m * a

= 1200 * 3

= 3600 Newton.

Therefore the force acting on the car is 3600 Newton.

Hope it will help):)

A 0.7 kg mass is attached to an ideal spring with a constant of 86 N/m. The mass is initially held at rest so that the spring is at its unextended length of 0.95 m. The mass is then released. What is the maximum distance the mass will fall?

Answers

Since the mass is attached to an ideal spring, the system will undergo simple harmonic motion. The maximum distance the mass will fall is equal to the amplitude of the oscillation.

The period of oscillation can be calculated as:

T = 2π√(m/k)

where m is the mass and k is the spring constant.

Substituting the given values, we get:

T = 2π√(0.7 kg / 86 N/m) ≈ 0.887 s

The maximum distance the mass will fall is equal to half the amplitude of the oscillation, which can be calculated using the equation:

x = A cos(2πt/T)

where x is the displacement of the mass from its equilibrium position at time t, and A is the amplitude of oscillation.

At the maximum displacement, cos(2πt/T) will be equal to -1. Therefore,

A = -x

The velocity of the mass at the maximum displacement will be zero. Therefore, the total energy of the system will be equal to the potential energy at the maximum displacement:

1/2 k A^2 = m g A

where g is the acceleration due to gravity.

Solving for A, we get:

A = (m g / k) = (0.7 kg x 9.81 m/s^2) / 86 N/m ≈ 0.0807 m

Therefore, the maximum distance the mass will fall is approximately 0.0807 m.

4. A car accelerates uniformly from rest at 3.2 m/s^.
When the car has traveled a distance of 40.
meters, its speed will be
(1) 8.0 m/s
(2) 12.5 m/s
(3) 16 m/s
(4) 128 m/s

Answers

Answer:

A

Explanation:

The final speed of the car is: (3) 16 m/s.

Given the following data:

Initial speed = 0 m/s (since it accelerated from rest).Acceleration = 3.2 \(m/s^2\)Distance = 40 meters.

To find the final speed of the car, we would use the third equation of motion;

\(V^2 = U^2 + 2aS\)

Where:

V is the final speed.U is the initial speed.a is the acceleration.S is the distance covered.

Substituting the given parameters into the formula, we have;

\(V^2 = 0^2 + 2(3.2)(40)\)

\(V^2 = 2\) × \(3.2\) × \(40\)

\(V^2 = 256\\\\V = \sqrt{256}\)

Final speed, V = 16 m/s

Therefore, the final speed of the car is 16 m/s.

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A soccer ball is kicked 7 meters west and then 3 meters east.
What is the DISTANCE?
What is the DISPLACEMENT?

Answers

Answer:

4 meters............

.

.

.

.

.

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