A 6.46 kg object moving with a velocity of 5.23 m/s is struck from behind by a moving 11.77 kg object. They stick together, moving off with a mutual velocity of 17.93 m/s. What was the original velocity of the 11.77 kg object before the collision?

Answers

Answer 1

Answer:

is

Explanation:

e


Related Questions

which were products that contained cfcs before 1987?
A. Gasoline
B. Paint products
C. Halons
D. Refrigerants

Answers

The answer is refrigerants

Answer:

The answer is D i took it on the quiz refrigerants

Explanation:

What does the change in momentum and impulse have in common?

Answers

Answer:

Momentum is a vector quantity that has the same direction as the velocity of the object. The quantity of force multiplied by the time it is applied is called impulse. Impulse is a vector quantity that has the same direction as the force. Momentum and impulse have the same units: kg·m/s

Explanation:

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a raft is constructed of wood having a density of 608.7 kg/m3 . the surface area of the bottom of the raft is 4.6 m2 , and the volume of the raft is 0.512 m3 . when the raft is placed in fresh water hav

Answers

Your Answer :-  The buoyant force is greater than the weight of the raft, the raft will float in fresh water with an apparent weight of -1968.04 N.

When the raft is placed in fresh water, it will displace an amount of water equal to its own volume. Using the given volume of the raft (0.512 m3), we can calculate the mass of water displaced by the raft using the density of water, which is 1000 kg/m3.

Mass of water displaced = density of water x volume of raft
Mass of water displaced = 1000 kg/m3 x 0.512 m3
Mass of water displaced = 512 kg

Now we can use the concept of Archimedes' principle to calculate the buoyant force acting on the raft. The buoyant force is equal to the weight of the water displaced by the raft.

Buoyant force = weight of water displaced
Buoyant force = mass of water displaced x gravity
Buoyant force = 512 kg x 9.81 m/s2 (acceleration due to gravity)
Buoyant force = 5025.72 N (Newtons)

Finally, we can use the buoyant force to calculate the apparent weight of the raft in fresh water.

Apparent weight of raft = weight of raft - buoyant force
Weight of raft = density of wood x volume of raft x gravity
Weight of raft = 608.7 kg/m3 x 0.512 m3 x 9.81 m/s2
Weight of raft = 3037.68 N

Apparent weight of raft = 3037.68 N - 5025.72 N
Apparent weight of raft = -1968.04 N

Since the buoyant force is greater than the weight of the raft, the raft will float in fresh water with an apparent weight of -1968.04 N.

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Question 20 I need help ASAP!!

Question 20 I need help ASAP!!

Answers

Answer:

1.) Gas = Are the particles moving quickly in a radom pattern?

2.) Plasma = Are the particles electrically charged?

3.) Solid = Are the particles vibrating in a fixed position?

4.) Liquid = Are the particles sliding past each other?

Hope this helps!

a 1200-kg car traveling at a constant 20 m/s drives along a horizontal, circular track with an 800 meter radius of curvature. 800 m a. determine the centripetal acceleration of the car (0.5 m/s2) b. calculate the centripetal force on the car. c. if the centripetal force in part (b) is due to friction, and the car is just about to slide, determine the coefficient of (static) friction between tires and the road. (0.051) d. if you doubled the speed of this car, what coefficient (in part c) would you need now?

Answers

a. The centripetal acceleration of the car is 0.5 m/s².

b. The centripetal force on the car is 600 N.

c. The coefficient of static friction between tires and the road is 0.051.

d. The car's speed is doubled, we need a coefficient of static friction of 0.204 to prevent the car from sliding.

a. The formula for the centripetal acceleration of the car is given as below:

ac = v²/r

where ac is the centripetal acceleration,

v is the speed, and

r is the radius of curvature of the circular path.

Substituting the values given in the problem, we get:

ac = (20 m/s)²/800 m = 0.5 m/s²

b. The formula for the centripetal force of the car is given as below:

F = mac

where F is the centripetal force,

m is the mass of the car, and

ac is the centripetal acceleration.

Substituting the values given in the problem, we get:

F = (1200 kg)(0.5 m/s²) = 600 N

c. The formula for the maximum static frictional force is given as below:

\(f_{max}\) = μsN

where \(f_{max}\) is the maximum static frictional force,

μs is the coefficient of static friction, and

N is the normal force acting on the car.

For a car moving in a circular path, the normal force is equal to the weight of the car, which is given by:

N = mg

where m is the mass of the car and g is the acceleration due to gravity (9.8 m/s²).

Substituting the above equations and solving for μs, we get:

\(f_{max}\) = μsN

⇒ μs = \(f_{max}\) / N

Substituting the values given in the problem, we get:

\(f_{max}\) = mac = (1200 kg)(0.5 m/s²) = 600 N and

N = mg = (1200 kg)(9.8 m/s²) = 11760 N

Therefore,μs = 600 N/11760 N = 0.051

d. Doubling the speed of the car will cause the centripetal acceleration to double as well.

The formula for centripetal acceleration is given as:

ac = v²/r,

where ac is the centripetal acceleration,

v is the speed, and

r is the radius of curvature of the circular path.

Substituting the new speed (40 m/s) into this formula, we get:

ac = (40 m/s)²/800 m = 2 m/s²

Therefore, the new centripetal acceleration is 2 m/s².

Using the same formula as in part (c), we can find the new coefficient of static friction.

The maximum static frictional force is still equal to the centripetal force, which is given by:

F = mac = (1200 kg)(2 m/s²) = 2400 N

Therefore,

μs = \(f_{max}\)/N = 2400 N/11760 N = 0.204

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A box experiences a varying net force that changes its velocity. The graph shows the velocity of the box as a function of time. Which of the following correctly describes the net work, Wet, done on the box for the given intervals of time? (A) Between 0 and 4 Between 1 and 12 Between 12 and 13 Wnet > 0 Whet = 0 Wher 0 Whee> 0 © Between 0 and Between 1 and 12 Between 12 and 13 Wher = 0 Wher = 0 Wace 0 Weet > 0 Wher > 0

Answers

A box experiences a varying net force that changes its velocity. Based on the description provided, it seems that the options (A) and (C) are the most relevant to the question.

Between 0 and 4:

The velocity of the box is increasing, which indicates that there is a positive acceleration.

Since the net force is causing an acceleration in the direction of motion, the net work done on the box is positive.

Therefore, the correct statement would be: Wnet > 0.

Between 1 and 12:

The velocity of the box is constant, which means there is no acceleration.

In this case, the net force acting on the box is zero.

When the net force is zero, no net work is done on the box.

Therefore, the correct statement would be: Wnet = 0.

Between 12 and 13:

The velocity of the box is decreasing, indicating a negative acceleration.

Since the net force is acting opposite to the direction of motion, the net work done on the box is negative.

Therefore, the correct statement would be: Wnet < 0.

Based on this analysis, the correct description would be:

Between 0 and 4: Wnet > 0

Between 1 and 12: Wnet = 0

Between 12 and 13: Wnet < 0

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An Airplane taxis onto the runway going at 10 m/s. If it can accelerate steady at 3
m/s2 and its take-off speed is 90 m/s, what length of runway will it need? *
130 m
1350 m
1333 m
2666.7 m
A race car was is moving at a constant speed of 35 m/s. A security car was

Answers

Answer: 1333 m

the length of runway it will need is S = \(\frac{90^{2}-10^{2} }{2.3}=1333\) (m)

Explanation:

a screw has a head diameter of 0.812 cm and a thread width of 0.318 cm. what is the ideal mechanical advantage?

Answers

The ideal mechanical advantage of the screw is 8.08.

The ideal mechanical advantage of a screw is determined by dividing the circumference of the screw by the thread width.

Circumference of screw = π × diameter of head = π × 0.812 cm

Thread width = 0.318 cm

Ideal mechanical advantage = Circumference of screw / Thread width

Ideal mechanical advantage = (π × 0.812 cm) / 0.318 cm

Ideal mechanical advantage = 8.08

Thus, the screw's ideal mechanical advantage is 8.08.

This means that for every rotation of the screw, it will move a distance of 8.08 times the thread width, making it easier to lift or move a heavy load. Ideal mechanical advantage is a theoretical concept, and the actual mechanical advantage may differ from it due to various factors such as friction and wear and tear of the screw.

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If an object accelerates from rest, what will its velocity be after 2.1 s, if it has a constant acceleration of 9.8 m/s²?​

Answers

The kinematic equation used for this type of question is vf=vi+at
And this leaves the answer at 20.58 m/s
If an object accelerates from rest, what will its velocity be after 2.1 s, if it has a constant acceleration

If an object accelerates from rest, the velocity after 2.1 s, if it has a constant acceleration of 9.8 m/s² is 43.218 m/s².

To find the velocity, the given values are,

Time = 2.1 seconds

Acceleration = 9.8 m/s².

What is Acceleration?

Acceleration can be defined as the rate of change of the velocity of an item with appreciation to time. Accelerations can be vector portions. The orientation of an item's acceleration is given by the orientation of the net pressure appearing on that object.

The acceleration will remain the same at 9.8 m/s². as under free fall conditions acceleration due to gravity remains constant.

Calculation:-

V = U + at

V = 0 + 9.8 × (2.1)²

  = 9.8 × 4.41

  = 43.218 m/s².

But, the acceleration will remain the same at 9.8 m/s neglecting air resistance.

Acceleration is the charge at which velocity modifications with time, in terms of each speed and route. A factor or an object moving in a straight line is accelerated if it quickens or slows down. movement on a circle is extended despite the fact that the rate is consistent because the course is continually changing.

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wishing to collect weather data on a remote island, you come up with an idea for sending a weather balloon to the location. You attach a +1 C charged object to the balloon and plan to propel the balloon to the island using an electrostatic force. Given the balloon's size and standard wind patterns en route, you realize you will need to be able to overcome an opposing air resistance of up to 100N at any point on the balloon's 750km journey to the island. How big oof a charge will you need at your location to propel the +1C balloon, even in the face if the opposing wind, up to a distance of 750 km away?

Answers

The magnitude of the second charge needed to propel the first charge is 6,250 C.

Magnitude of the second charge to propel the first charge

The magnitude of the second charge is calculated by applying Coulomb's law as follows;

F = kq₁q₂/r²

where;

k is Coulomb's constantq₁ is magnitude of first chargeq₂ is magnitude of second charger is the distance between the charges

Fr² =  kq₁q₂

q₂ = Fr²/kq₁

q₂ = (100 x 750,000²)/(9 x 10⁹ x 1)

q₂ = 6,250 C

Thus, the magnitude of the second charge needed to propel the first charge is 6,250 C.

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flourine's atomic number is 9 and its mass number is 19. which of the following is true of flourine? group of answer choices it has not net charge when it has 19 electrons it contains 19 protons and 9 neutrons it contains 9 protons and 19 neutrons it contains 9 protons and 10 neutrons

Answers

Fluorine, with an atomic number of 9 and a mass number of 19, contains 9 protons and 10 neutrons.

The atomic number of an element represents the number of protons in its nucleus. Since fluorine has an atomic number of 9, it means it has 9 protons. The mass number, on the other hand, represents the total number of protons and neutrons in an atom's nucleus. Given that the mass number of fluorine is 19, and we already know it has 9 protons, we can subtract the number of protons from the mass number to determine the number of neutrons. Therefore, fluorine contains 9 protons and 10 neutrons.

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The distance recorded for riding a motorcycle on its rear wheel without stopping is more than 320 km! Suppose the rider in this impressive position is traveling with an initial velocity of 8.0 m/s before accelerating. Then the rider travels 40.0 m at a constant acceleration of 2.00 m/s2. What is the rider's velocity after the acceleration?

Answers

Answer:

14.97m/s

Explanation:

Given

Initial velocity of the car u = 8m/s

Distance travelled by the rider S = 40m

Acceleration a = 2m/s²

Required

rider's velocity after the acceleration v

Using the equation of motion

v² = u²+2as

v² = 8²+2(2)(40)

v² = 64+160

v² = 224

v = √224

v = 14.97m/s

Hence the rider's velocity after the acceleration is 14.97m/s

Hai quả cầu nhỏ hoàn toàn giống nhau, mang điện tích q1, q2 đặt trong chân không cách nhau 20cm thì hút nhau F = 5×10^-5. đặt vào giữa hai quả cầu tấm thủy tinh dày 5 cm có hằng số điện môi là 4. tính lực tác dụng giữa hai quả cầu

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Answer:

Hai quả cầu nhỏ hoàn toàn giống nhau, mang điện tích q1, q2 đặt trong chân không cách nhau 20cm thì hút nhau F = 5×10^-5. đặt vào giữa hai quả cầu tấm thủy tinh dày 5 cm có hằng số điện môi là 4. tính lực tác dụng giữa hai quả cầu


Which of the following is an example of a non-contact force? CHOOSE ALL THAT APPLY.

A duck floating on water

The moon orbiting the earth

Your Chromebook sitting on the desk

Pushing a child in a swing at the playground

Gravity pulls skydiver down towards the surface of the earth from an airplane

Answers

The moon orbiting the earth and Gravity pulls skydiver down towards the surface of the earth from an airplane are examples of a non-contact force

Non-contact forces are forces that act between two objects that are not physically touching each other.

That means that there is no contact but there exist force between them .The moon orbiting the earth due to gravitational force between both the bodies , this is a non contact force . Because moon is in not in contact with the earth , still both the bodies are exerting force on each other

Also Gravity pulls skydiver down towards the surface of the earth from an airplane is also an example of non contact force because there is no contact between skydiver and earth , still due to earth's gravitational force , it is been attracted towards the ground

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Will give brainliest!! How would you write the direction of the vector above as a global angle?

Will give brainliest!! How would you write the direction of the vector above as a global angle?

Answers

Answer:

Assuming they're unit vectors (length of 1)

You simply add them together.

The vector pointing right can be described with X and Y

(1, 0).

The vector pointing down

(0, -1).

The numbers are taken from the axis in X and Y directions.

If you add them together you get a final vector.

(1, - 1)

This gives you -45° pointing South East.

Or 360°-45°=315°

Compared to stored analog data, what is a disadvantage of stored digital
data?
A. Multiple copies of the stored data take up very little space.
B. They lose quality when they are copied several times.
O
C. Stored data are made up of only two different values.
D. They are vulnerable to hackers and viruses.

Answers

Answer:

D

Explanation:

Let's analyze each option.

A "Multiple copies of the stored data take up very little space."

This is actually true, and it is a positive aspect, as stored digital data does not need any "physical space", it only needs memory and not a lot of it.

So storing data digitally is way more efficient than storing analog data.

B: "They lose quality when they are copied several times."

The data shouldn't change when it is copied, so you should not see a lose in quality.

C: "Stored data are made up of only two different values."

True, but as we know, we can define a lot of things with only two values (zeros and ones), so this is not really a disadvantage.

D: "They are vulnerable to hackers and viruses."

This is true, when you store your data digitally you become vulnerable to hackers stealing your data, so you need to get informatic security in order to protect your data. The same thing with viruses, if you have all your data stored in a given device, and the device becomes infected, there is a chance that you just lost all your data, so you need to have multiple backups of your important information, and again, some protection against viruses.

The correct option is D.

Answer:

D

trust me i just did it

Explanation:

Connor rode an inner tube down a river. For 4.6 minutes, he moved downriver at 15 meters per minute. During this time, how far did he move?

Answers

Answer:

2 miles

Explanation:

1.5 gal/min = how many qt/h

Answers

Gallons per minute (gal/min) and quarts per hour (qt/h) are units used to measure flow rates. One gallon is equal to 4 quarts, and one hour is equal to 60 minutes.

To convert from gallons per minute to quarts per hour, we need to use conversion factors to cancel out the units of gallons and minutes, and end up with the units of quarts and hours.

To convert 1.5 gal/min to qt/h, we can start by using the conversion factor:

1 gal = 4 qt

We can rewrite this as:

1/4 gal = 1 qt

Next, we can use the conversion factor:

1 min = 1/60 h

We can rewrite this as:

60 min = 1 h

Now we can combine these conversion factors to convert 1.5 gal/min to qt/h:

1.5 gal/min x (4 qt/1 gal) x (60 min/1 h) = 360 qt/h

Therefore, 1.5 gal/min is equal to 360 qt/h.

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a hot air balloon is moving up at 10 m/s. at a height of 100 m above the ground, a package is released from the balloon. how much time does it take the package to reach the ground after being released?

Answers

It takes approximately 4.52 seconds for the package to reach the ground after being released from the balloon.

What is the kinematic equation?

A group of equations called kinematic equations are used to explain how objects move.

The answer to this issue can be found by applying the kinematic equation for the vertical motion:

h = vi x t + (1/2)g\(t^{2}\)

where,

h = 100 meters (height from which the package is released)

vi = 10 m/s (upward velocity of the balloon)

g = 9.8 m/\(s^{2}\) (acceleration due to gravity, downward)

t = ?

The package has 0 velocities at its highest point; hence zero is its initial velocity.

So, the equation can be made simpler to:

h = (1/2)g\(t^{2}\)

Solving for t, we get:

t = \(\sqrt{(2h/g)\)

= \(\sqrt{ (2 * 100/9.8)\)

t= 4.52 seconds

So, it takes approximately 4.52 seconds for the package to reach the ground after being released.

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Describe the history of the development of the current atomic model. Be sure to include at least three different historic models. i will give 40 points for help

Answers

The current atomic model is known as the quantum mechanical model or the electron cloud model. It is based on the principles of quantum mechanics and describes the behavior of electrons in atoms as they occupy specific energy levels or orbitals, rather than following a definite path.

The development of the current atomic model began in the late 1800s with the discovery of the electron by J.J. Thomson, who proposed the first atomic model called the "plum pudding" model. This model suggested that the atom was a uniform, positively charged sphere with electrons embedded throughout.

In 1911, Ernest Rutherford conducted the famous gold foil experiment, which led to the discovery of the atomic nucleus and the proposal of the "planetary" model. This model suggested that the atom consisted of a central, positively charged nucleus surrounded by negatively charged electrons orbiting around it.

Niels Bohr further developed the planetary model in 1913 by suggesting that electrons could only exist in certain energy levels or "shells" around the nucleus. This led to the development of the "Bohr model," which is a simplified version of the current atomic model and is still widely used in teaching atomic theory today.

These models were essential to the development of the current atomic model, which is based on quantum mechanics and describes the atom as a nucleus consisting of protons and neutrons, surrounded by electrons that exist in probability clouds or orbitals. The current model also incorporates the idea of wave-particle duality, which suggests that particles such as electrons have both wave-like and particle-like properties.

Therefore, The current atomic model is known as the quantum mechanical model or the electron cloud model. It is based on the principles of quantum mechanics and describes the behavior of electrons in atoms as they occupy specific energy levels or orbitals, rather than following a definite path. The model also takes into account the uncertainty principle, which means that the position and velocity of an electron cannot be precisely determined at the same time. Overall, the quantum mechanical model provides a more accurate understanding of the behavior of atoms than previous models.

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which is true about the inductance of an inductor?

Answers

The inductance of an inductor is a measure of its ability to store magnetic energy when a current flows through it.

Magnetic energy refers to the energy stored in a magnetic field. It is a form of potential energy that arises due to the arrangement and movement of magnetic fields and magnetic materials.

Inductance is a fundamental property of an inductor and is defined as the ratio of the magnetic flux produced by the current flowing through the inductor to the rate of change of current. It is denoted by the symbol "L" and is measured in henries (H).

The inductance of an inductor depends on various factors, including the number of turns in the coil, the cross-sectional area of the coil, the length of the coil, and the permeability of the core material (if present).

A higher inductance value indicates that the inductor can store more magnetic energy for a given current change, while a lower inductance means it stores less energy. Inductors are commonly used in electronic circuits for applications such as energy storage, filtering, and impedance matching.

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which force below comes from an object receiving support. For example a book sitting on a table receives what force from the table?

Answers

About 90• in the hood somebody will shoot then myhurts no don’t touch ahhhhh but keep it moving by 24.”5

(20 points) What are wispy looking clouds, usually at high altitudes called?
stratus clouds
nimbus clouds
cirrus clouds
cumulus clouds

Answers

C , hope this helps

Answer:

the answer is c cirrus clouds

Explanation:

a speedboat has a constant acceleration of 3/0 m/s2. if the initial velocity of the boat is 8.0m/s, find the boats displacement after 10.0 seconds

Answers

The displacement of the speedboat after 10.0 seconds is 230.0 meters.

The displacement of an object with constant acceleration can be found using the formula:

d = vₒt + (1/2)at²

where d is the displacement, vₒ is the initial velocity, t is the time elapsed, and a is the acceleration.

Given the initial velocity of 8.0 m/s and acceleration of 3.0 m/s², and a time elapsed of 10.0 seconds, we can plug in the values into the formula to find the displacement:

d = 8.0 m/s × 10.0 s + (1/2) × 3.0 m/s² × (10.0 s)² = 80.0 m + 150.0 m = 230.0 m

So the displacement of the speedboat after 10.0 seconds is 230.0 meters. This means the boat has moved 230.0 meters from its original position due to the combined effect of its initial velocity and the acceleration.

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1. With what force will a car hir a free if the car has a mass of 3,000 kg and accelerating at a rate of 2 m/st?

Answers

The force the car will use to hit the tree, given it has a mass of 3000 Kg and accelerating at 2 m/s² is 6000 N

How to determine the force

From the question given above, the filling data were obtained:

Mass (m) = 3000 KgAcceleration (a) = 2 m/s²Force (f) = ?

Force is related to acceleration according to the following formula:

Force = mass × acceleration

Thus, we can obtain the force as illustrated below:

Force = mass × acceleration

Force = 3000 × 2

Force = 6000 N

From the calculation made above, we can conclude that the force the car will use to hit the tree is 6000 N

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A student launches a small rocket which starts from rest at ground level. At a height of h = 1.35 km the rocket reaches a speed of vf = 288 m/s. At that height the rocket runs out of fuel, so there is no longer any thrust propelling it. Take the positive direction to be upward in this problem.

33% Part (a) Assuming constant acceleration, what is the rocket’s acceleration, in meters per second squared, during the period from its launch until it runs out of fuel?

33% Part (b) After the rocket's engine turns off at a height of h = 1.35 km, it continues to move upward due to the velocity that it reached. What is the rocket's acceleration, in meters per second squared, during the period from engine shutoff until it returns to the ground? Ignore air resistance.

33% Part (c) Calculate the maximum height, in meters above ground level, that the rocket reaches.

Answers

Part (a) The rocket's acceleration during the period from its launch until it runs out of fuel is approximately 35.15 m/s^2.

Part (b) After the rocket's engine turns off at a height of 1.35 km, the rocket's acceleration during the period from engine shutoff until it returns to the ground is approximately -9.8 m/s^2 (negative due to the downward direction).

Part (c) The maximum height that the rocket reaches is approximately 2.78 km above ground level.

Part (a):

We can use the kinematic equation to calculate the rocket's acceleration during the period from its launch until it runs out of fuel. The equation relates the final velocity (vf), initial velocity (vi), acceleration (a), and displacement (d):

vf^2 = vi^2 + 2ad

At launch, the rocket starts from rest (vi = 0), and the displacement (d) is the height reached (h = 1.35 km = 1350 m). Substituting these values and the final velocity (vf = 288 m/s) into the equation, we can solve for acceleration (a):

288^2 = 0^2 + 2a(1350)
a ≈ 35.15 m/s^2

Therefore, the rocket's acceleration during the period from its launch until it runs out of fuel is approximately 35.15 m/s^2.

Part (b):

After the rocket's engine turns off, the only force acting on it is gravity, which accelerates it downward. The acceleration due to gravity is approximately -9.8 m/s^2.

Since the rocket is moving upward, the acceleration due to gravity will act in the opposite direction. Therefore, the rocket's acceleration during the period from engine shutoff until it returns to the ground is approximately -9.8 m/s^2.

Part (c):

To calculate the maximum height reached by the rocket, we can use the kinematic equation that relates initial velocity (vi), final velocity (vf), acceleration (a), and displacement (d):

vf^2 = vi^2 + 2ad

At the maximum height, the final velocity is zero (vf = 0), and the initial velocity is the velocity reached when the engine turns off (vi = 288 m/s). The acceleration is the acceleration due to gravity (-9.8 m/s^2). Solving for displacement (d), which represents the maximum height, we have:

0^2 = (288)^2 + 2(-9.8)d
d ≈ 2778.6 m

Therefore, the maximum height reached by the rocket is approximately 2.78 km above ground level.

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I am really confused can someone please help and explain.

I am really confused can someone please help and explain.

Answers

B

They store the radioactive waste in pools of water until it is no longer dangerous. It is then transferred to a dry cask. :))

If a feather takes 2.5 seconds to drop 200cm, what is the speed of this feather

Answers

Answer:

80cm per second

Explanation:

DUE TODAY HELP ME WRITE A ESAAY NOW

I WILL MARK YOU AS BRAINLEST
it is about science
like how a scientists work
or how to be a scientist

essay is 500 words

Answers

Answer:

Explanation:

Try adding what process they have to go through to become a scientists the try adding some things that you think they work on in the labs.

A skier skis CCW along a circular ski trail that has a radius of 1.5 km. She starts at the northern most point of the trail and travels at a constant speed, sweeping out 3.5 radians per hour. Let t represent the number of hours since she started skiing. a. Write an expression in terms of t to represent the number of radians that would need to be swept out from the East side of the ski trail to reach the skier's current position Preview b. Write an expression in terms of t to represent the skier's distance to the East of the ski trail (in km) Preview c. Write an expression in terms of t to represent the skier's distance to the North of the ski trail (in km).

Answers

a. The expression for the radians swept from the East side is (π/2 - 3.5t). b. The expression for the skier's distance to the East is 1.5*cos(π/2 - 3.5t) km. c. The expression for the skier's distance to the North is 1.5*sin(π/2 - 3.5t) km.

Explanation:

a. To represent the number of radians that would need to be swept out from the East side of the ski trail to reach the skier's current position, we need to account for her starting at the northernmost point and traveling counterclockwise. At the northernmost point, she is π/2 radians from the East side.

Therefore, the expression for the radians swept from the East side is (π/2 - 3.5t).

b. To find the skier's distance to the East of the ski trail, we can use the formula for the horizontal component of the position on a circle: x = r*cos(θ). The radius (r) is 1.5 km, and the angle (θ) is (π/2 - 3.5t). Therefore, the expression for the skier's distance to the East is 1.5*cos(π/2 - 3.5t) km.

c. To find the skier's distance to the North of the ski trail, we can use the formula for the vertical component of the position on a circle: y = r*sin(θ). The radius (r) is 1.5 km, and the angle (θ) is (π/2 - 3.5t). Therefore, the expression for the skier's distance to the North is 1.5*sin(π/2 - 3.5t) km.

To know more about radians, refer here:

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