A 5.00 kg crate is on a 21.0° hill.
Using X-Y axes tilted down the
plane, what is the y-component
of the weight?
(Unit = N)

A 5.00 Kg Crate Is On A 21.0 Hill.Using X-Y Axes Tilted Down Theplane, What Is The Y-componentof The

Answers

Answer 1

Answer:

17.56 N

Explanation:

Given that,

Mass of a crate, m = 5 kg

It is on a 21.0° hill

We need to find the y component of the weight.

y component = mgsinθ

Put all the values,

y-component = 5×9.8×sin(21)

= 49×sin(21)

= 17.56 N

So, the y-component of the weight is 17.56 N.

Answer 2

Answer:

-45.745

Explanation:

it is negative because it is downwards.


Related Questions

At a high altitude, water boils at 95°C instead of 100°C as at sea level because A. The air pressure is higher B. The air pressure is lower C. The water contains more impurities D. The water has a higher salt content

Answers

At a high altitude, water boils at 95°C instead of 100°C as at sea level because the air pressure is lower.

The boiling point of a liquid is the temperature at which its vapor pressure is equal to the external pressure acting on the surface of the liquid. At higher altitudes, the atmospheric pressure is lower due to the decreased weight of the air above. As a result, the vapor pressure of water increases, and it requires less heat to reach its boiling point. Therefore, water boils at a lower temperature at higher altitudes.

Options A, C, and D are incorrect because they do not affect the boiling point of water. The air pressure, on the other hand, plays a significant role in determining the boiling point of a liquid.

In summary, at a high altitude, water boils at 95°C instead of 100°C as at sea level because the air pressure is lower.


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what is the magnitude of the vector described below? 13 m/s to the east a. east b. meters per second c. 13 m/s d. meters

Answers

Answer:

C

Explanation:

Magnitude of any quantity is the measurable value of the quantity. While the direction of the given quantity is the specific pointing direction of position or the angle at which it move.

The magnitude of the vector described below? 13 m/s to the east will be 13 m/s

While the direction will be eastward.

Therefore, the magnitude is 13 m/s

The correct answer is option C

4. Which of the three approaches to sociological investigation best fit the study: scientific
sociology, interpretive sociology, or critical sociology? Why? (4 points)

Answers

Scientific sociology is one of the three methods of sociological investigation that fits the topic the best.

The definition of scientific sociology

It is possible to define sociology as the scientific study of society, which includes a complete analysis of both internal and external elements that can have an impact on social structures and interaction patterns.

It should be noted that while the sociology field is very broad and full of opportunities that are required to complete the study that is being discussed in the work, this study focuses on social interaction and culture, which help to determine the things that can be used to learn more about the society.

In conclusion, of the three methods of sociological inquiry, scientific sociology is the most effective for the study of society.

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The percentage change in any economic variable, including the consumer price index (cpi), is measured by which equation?

Answers

The percentage change in any economic variable, including the Consumer Price Index (CPI), is typically measured using the following equation:

Percentage Change = ((New Value - Old Value) / Old Value) * 100

This equation calculates the difference between the new value and the old value, divided by the old value, and then multiplied by 100 to express it as a percentage.

To specifically calculate the percentage change in the CPI, you would substitute the respective values of the CPI for "New Value" and "Old Value" in the equation. This allows you to determine the percentage change in the CPI over a given period, indicating the inflation or deflation rate in the economy.

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PLEASE HELP! DUE IN 30 MINS! 50 POINTS!The questions that were cut off at the bottom were: What rule of magnetism is illustrated by the lines of the iron filings in Step 12?
What rule of magnetism is illustrated by the lines of the iron filings in Step 15?
Why was glass or plastic used to separate the filings from the magnets in the experiments?
Did the glass or plastic stop the passage of the magnetic lines of force?
Did the iron filings almost or completely bridge the open end of the horseshoe magnet?​

PLEASE HELP! DUE IN 30 MINS! 50 POINTS!The questions that were cut off at the bottom were: What rule

Answers

The lines of iron fillings will be attracted towards the poles of the magnet on the paper. The fillings gets sticked on the magnet. The glass or plastic will stop the passage of the magnetic lines of force .

What are magnetic field lines ?

Magnetic field lines are lines of force generated by a strong magnetic field. For a bar magnet, the magnetic south pole and north pole are having stronger magnetic fields than the middle part.

When magnetically susceptible materials comes in contact with a magnet they gets attracted to the poles of the magnet. The fields lines of the material gets aligned parallel to the applied field.

Some materials such as paper and glass are not showing magnetic properties. Hence, they can stop the passage of magnetic field lines. If we place a glass or paper in between the poles of a two magnets, they will stick to the glass from both ends due to the attraction to the opposite pole.

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The acceleration of free fall on a certain planet is 8.0 m s-2. An object gets dropped from a
height and hits the ground after 1.5 s. From what height must the object have been dropped?

Answers

Answer:

Height from which the object is dropped is 9m

We are given that:

The acceleration of free fall on a certain planet is 8m/s². An object is dropped from the height and hits the ground after 1.5s

We need to find:

Height from which the object was dropped.

Using equations of motion:

v² - u² = 2as

v = u + at

here,

u = initial velocity

v = final velocity

a = acceleration

s = displacement

t = time taken

Solution:

From the given information, we can conclude that:

initial velocity of the object is 0 m/s

acceleration due to gravity = 8 m/

time taken = 1.5 seconds

Now, using equation of motion:

v = u + at

v = 0 + ( 8 × 1.5 )

v = 0 + 12 .0

v = 12 m/s

final velocity of object = 12 m/s

For, acceleration :

v² - u² = 2as

( 12 )² - ( 0 )² = 2 × 8 × s

144 - 0 = 16s

16 s = 144

s = 144 / 16

s = 9m

Displacement = 9 m

\( \dag\) Since, we take displacement in terms of distance in some places, therefore we can say that the height from which the object was dropped is 9 meters .

A lens with a focal length of 35cm
is used to form an image of an
object. When this lens is placed a
certain distance X from the object,
no image is formed. Give this
distance X in cm.

Answers

Since the focal length of the lens is 35 cm, at a distance of 35 cm from the lens, no image is formed.

What are lenses?

Lenses are portions of a transparent medium bounded by two curved surfaces or one curved surface and one plane surface.

Lenses are used to produce images of an object on. screen.

The images produced may be real or virtual.

For diverging lenses, images produced are always virtual.

For a converging lens, images produced may be virtual or real.

However, when an object is placed exactly at the focal length of a lens, no image is produced.

Therefore, the distance X when no image will be produced in the lens is the focal length of the lens, 35 cm.

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A 20 gram bullet traveling at 250m/s strikes a block of wood that weighs 2kg. With what velocity will the block and bullet move after the collision?.

Answers

The conservation of momentum can be used to determine the final velocity. The block and bullet system's velocity after the collision will be 2.5 m/s.

For example, a circular path's direction is always perpendicular to a line from the point to the circle's center. A point always moves in a direction that is tangent to its path (a radius). Using the momentum principle,

Where,

= bullet weight, 20 g, or 0.2 kilogram

250 m/s is the bullet's speed before colliding.

= block weight = 2 kg

= velocity following impact =?

Fill out the formula with the values,

Therefore, the block and bullet system's velocity following the collision will be 2.5 m/s.

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state 2 precautionary measures you would take to maintain the efficiency of an accumulator​

Answers

On gas-loaded accumulators, safety devices like relief valves, burst discs, and temperature fuse plugs are all used as  precautionary measures to maintain the efficiency​.

What are accumulators?

Accumulators are pressurized containers that can hold fluid. When a system needs a boost in power, this stored energy can be used, recharged, and then used again. The right precautions should be taken to keep pressure and temperatures under control because this stored energy can be hazardous.

On accumulators, a number of modest but crucial accessories can be placed to stop the release of this stored energy and guarantee that temperatures stay within their safe operating range.

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The property of matter that resists changes in motion is called...
a) inertia
b) gravity
c) weight
d) friction

Answers

Answer:

inertia

Explanation:

i hade the same question

Answer: inertia

Explanation:

A skateboarder throws a ball away from himself. If the action force is the boy pushing on the ball, what is the reaction force? Which way will the boy on the skateboard move?.

Answers

Answer:

the ball pushing on the boy

right

Explanation:

Answer:

The person above (or below) me is correct:

The ball pushing on the boy, right.

Explanation:

I did the Instruction on Edge.

Hope this helped!

A skateboarder throws a ball away from himself. If the action force is the boy pushing on the ball, what

Which way does the weight point in an FBD?
the answer would depend on the motion of the object
down
perpendicular to the surface
up

Which way does the weight point in an FBD?the answer would depend on the motion of the objectdownperpendicular

Answers

Answer:

the answer would depend on the motion if the surface

Please help! i need this done by 6am!

choose if mars or Venus are better to make more Earthlike for our future habitation

then give reasons that include:
Gravity on the planet
Temperature on the planet
Surface composition of the planet
Atmosphere of the planet
Required travel time and materials we would need to take to the planet

Please help! i need this done by 6am!choose if mars or Venus are better to make more Earthlike for our

Answers

Mars and Venus are two of the closest planets to Earth in our solar system, but they have very different characteristics that would make the process of making them more Earthlike quite challenging.Gravity on the planet:

Mars has a surface gravity that is about 38% of Earth's, which would make it easier for humans to move around and perform tasks. On the other hand, Venus has a surface gravity that is about 90% of Earth's, which is closer to the gravity we are used to but may cause health problems for humans in the long term.

Temperature on the planet:

Mars has a very thin atmosphere, which means that its surface is exposed to extreme temperature fluctuations. The average temperature on Mars is around -80 degrees Fahrenheit, but it can reach up to 70 degrees Fahrenheit in some areas during the day. Venus, on the other hand, has a thick atmosphere that traps heat and creates a runaway greenhouse effect, leading to average temperatures of around 864 degrees Fahrenheit.

Surface composition of the planet:

Both Mars and Venus have rocky surfaces, but their compositions are quite different. Mars has a lot of iron oxide (rust), which gives it its reddish color, while Venus has a lot of volcanic rocks and sulfuric acid in its atmosphere. This could make it more difficult to extract resources from Venus and use them to make the planet more Earthlike.

Atmosphere of the planet:

As mentioned earlier, Mars has a very thin atmosphere, which means that it has very little protection from solar radiation and is not able to retain heat very well. Venus, on the other hand, has a thick atmosphere that is mostly composed of carbon dioxide, which could potentially be used to create a greenhouse effect that would warm up the planet.

Required travel time and materials we would need to take to the planet:

Both Mars and Venus would require a significant amount of resources and time to make them more Earthlike. Mars is closer to Earth and has been the focus of more exploration and research, which means that we have a better understanding of its characteristics and what would be required to make it more hospitable for humans. However, Venus's thick atmosphere and closer proximity to the Sun could make it a better candidate for terraforming, as it would be easier to create a greenhouse effect and warm up the planet.

In summary, both Mars and Venus have their advantages and disadvantages when it comes to making them more Earthlike for human habitation. Mars has a lower gravity and a thinner atmosphere, but its extreme temperature fluctuations and iron-rich surface could make it a more challenging candidate. Venus has a higher gravity and a thick, mostly carbon dioxide atmosphere, but its extremely high temperatures and difficult surface composition could also pose significant challenges. Ultimately, the decision of which planet to focus on would depend on a variety of factors, including the resources and technology available, the goals of the mission, and the potential benefits and risks associated with each option.

Three charges, qA is +6.0 μC, qB is –5.0 μC, and qc is +6.0 μC, are located at the corners of a square with each side length at 5.0 cm as shown in the diagram. Calculate the electric field at point D.

Three charges, qA is +6.0 C, qB is 5.0 C, and qc is +6.0 C, are located at the corners of a square with

Answers

The net electric field at point D is determined as 3.95 x 10⁷ N/C.

Electric field at D due to charge A

E = kq/r²

where;

r is the distance between A and Dq is charge A

E(AD) = (9 x 10⁹ x 6 x 10⁻⁶)/(0.05²)

E(AD) = 2.16 x 10⁷ i N/C

Electric field at D due to charge B

E = kq/r²

where;

r is the distance between A and Bq is charge B

r² = 5²  + 5²

r² = 50

r = √50

r = 7.07 cm

E(BD) = (9 x 10⁹ x 5 x 10⁻⁶)/(0.0707²)

E(BD) = 9 x 10⁶ N/C

in x - direction = 9 x 10⁶ N/C x cos(45) = 6.36 x 10⁶ i  N/C

in y - direction = 9 x 10⁶ N/C x sin(45) = 6.36 x 10⁶j  N/C

Electric field at D due to charge C

E = kq/r²

where;

r is the distance between C and Dq is charge C

E(CD) = (9 x 10⁹ x 6 x 10⁻⁶)/(0.05²)

E(CD) = 2.16 x 10⁷ j N/C

Net electric field in x direction

Ei = 2.16 x 10⁷ i N/C  + 6.36 x 10⁶ i  N/C

Ei = 2.796 x 10⁷ i N/C

Net electric field in y direction

Ej = 2.16 x 10⁷ j N/C  + 6.36 x 10⁶j  N/C

Ej = 2.796 x 10⁷ j N/C

Resultant electric field at D

E = √Ei² + Ej²

E = √[(2.796 x 10⁷)² + (2.796 x 10⁷)²]

E = 3.95 x 10⁷ N/C

Thus, the net electric field at point D is determined as 3.95 x 10⁷ N/C.

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Please answer the following question!
What is the momentum of a 750-kg Volkswagen Beetle when at rest?
Please give the value and momentum!

Answers

Answer:

0

Explanation:

the momentum will always be 0 when it is at rest because the object isnt moving!

Hope this helped!

Which of the following industries is the largest producer of primary air pollutants in the United States?

Answers

The largest producer of primary air pollution in the United States is what? electricity producing plants.

Answer:

electricity production

Explanation:

Derive an algebraic equation for the vertical forc

Answers

To derive the algebraic equation for the vertical force, we must consider the forces acting in the vertical direction and apply Newton's second law of motion.

Newton's second law states that the net force acting on an object is equal to the product of its mass (m) and its acceleration (a). In the vertical direction, the forces that typically act on an object are gravity and any other forces such as the normal force or applied forces.

Assume that the vertical force is denoted as Fv. Forces acting in the vertical direction are typically mass (mg) and the normal force (N) exerted by the surface, if present. Therefore, the equation for the vertical force can be expressed as:

Fv = N - mg,

where:

Fv is the vertical force,

N is the normal force,

m is the mass of the object,

g is the acceleration due to gravity (approximately 9.8 m/s² on Earth).

The normal force N is equal to the weight of the object if the object is at rest on a horizontal surface. In this case, N = mg. However, if the object is on an inclined plane or is subject to other forces, the normal force may differ from the weight.

By substituting the appropriate values ​​for the normal force and mass (mg), you can derive an algebraic equation for the vertical force based on the specific scenario you are considering.

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Ryan hits a stationary 0.15 kg ball with a force that lasts for 0.08 s and makes the ball shoot across the ice with a speed of 17 m/s. With what force did Ryan hit the ball?
B
D
32 N
320 N
Cannot solve without acceleration
0.204 N

Answers

Answer:

\(\huge\boxed{\sf F=31.88 \ N}\)

Explanation:

Given Data:

Mass = m = 0.15 kg

Velocity = v = 17 m/s

Time = t = 0.08 s

Required:

Force = ?

Formula:

\(\displaystyle F=\frac{mv}{t}\)

Solution:

\(\displaystyle F=\frac{(0.15)(17)}{0.08} \\\\F=\frac{2.55}{0.08} \\\\F=31.88 \ N\\\\\rule[225]{225}{2}\)

A very powerful vacuum cleaner has a hose 2.27 cm in diameter. With no nozzle on the hose (no change to hose area), what is the weight of the heaviest brick it can lift

Answers

A very powerful vacuum cleaner has a hose 2.27 cm in diameter. The atmospheric pressure is 1.00 atm=101,300 Pa. then vacuume cleaner generate the force F = 65.1 N

What does diameter mean?

A line that is straight and cuts through the middle of a body or figure. Particularly: the length of a diameter; a line segment passing through the center of a circle with its ends on the circumference.

Calculation -:

Given,

diameter of the nose is d= 2.86 cm

radius of the nose r= 1.43 cm = 1.43× \(10^{-2}\) m

We know F=P.A

where P is the atmospheric pressure and A is the surface area of the circulsr nose F is the force exerted by vacuume cleaner on the air

∴ F=P ( \(\pi r^{2}\))

we know atmospheric pressure, p=1.013×\(10^{5}\) pa

F = 1.013 × \(10^{5}\) × 3.14 (1.43 × \(10^{-2}\)) ^2

⇒ 65.1 N

⇒ F = 65.1 N

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20
All electromagnetic waves travel at the speed of light (300,000,000 m/s). However, even at this speed, if a radio
transmission is sent to astronauts on the Moon, there is a delay between the time that the message was sent
and the time that the astronauts receive it. Why?
0/1
Radio waves travel at a slower speed through a vacuum than they do through air.
The Moon is very far away from the Earth and it takes time for radio messages to travel.
Ο Ο Ο Ο
Asteroids and other space debris interfere with radio transmissions from Earth.
Radio waves are delayed as they pass through Earth's atmosphere.

Answers

Answer:

t = S / V = 3.8E8 / 3E8 = 1.3 sec

It takes over 1 second for a radio signal to travel between the earth and the moon.

the main limitation on the efficiency of heat engines is due to group of answer choices the second law of thermodynamics. the first law of thermodynamics. environmental radical people. reaction forces due to newton's third law. friction in the moving parts.

Answers

Option 5: the main limitation on the efficiency of heat engines is due "friction in the moving parts of the engine can contribute to losses in efficiency. Lubrication and other measures can help to reduce these losses."

Heat engines, including internal combustion engines, are limited in their efficiency by the Second Law of Thermodynamics. This law states that in any energy transfer or conversion, some energy will be lost to the environment as waste heat. The first law of thermodynamics is also relevant here, as it states that energy cannot be created or destroyed, only transferred or converted from one form to another.

Environmental radical people, reaction forces due to Newton's Third Law, and other factors are not typically significant limitations on the efficiency of heat engines.

However, Option 5 is the correct answer "friction in the moving parts of the engine can contribute to losses in efficiency. Lubrication and other measures can help to reduce these losses."

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Determino la masa en gramos y kilogramos de 1500 cm3 de alcohol etílico, cuya densidad es aproximadamente 790.0 Kg/m3. Tomar en cuenta que: Densidad (ρ) = masa (m)/volumen(v).

Answers

Para calcular el contenido en gramos de una bebida alcohólica basta con multiplicar los grados de la misma por la densidad del alcohol (0,8). El contenido de alcohol de una bebida depende de la concentración de alcohol y del volumen contenido.

The mass in grams and in kilograms of ethyl alcohol respectively is: a) 1185.0 g and b) 1185 kg

What is density?

Density is an intensive property of matter. It represents the relationship between the mass and the volume of a body or substance. Its units are in the International System kg/m3, kg/L, g/ml, g/cm3, among others.

The density formula is:

Density = m/V

The mass is obtained by clearing this equation

m=Density *Volume

data

m= ?

V= 1500 cm3 * 1 * 10⁻⁶ m³ / 1 cm³ = 0.0015 m³ = 1.5 * 10⁻³ m₃

Density= 790.0 kg/m3

m = 790.0 kg/m³ * 1.5 * 10⁻³m³ = 1.185 Kgm = 1.185 kg * 1000 g/ 1 kg = 1185,0 gm=  1185,0 g

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A canoe has a velocity of 0.450 m/s southeast relative to the earth. The canoe is on a river that is flowing at 0.680 m/s east relative to the earth.

Answers

Relative velocity is defined as the velocity an object X has in the rest frame of another object Y

The velocity of the canoe relative to the river is approximately 0.482 m/sThe direction of the canoe relative to the river is approximately  41.33°

Reason:

The given parameter are;

The velocity of the boat, v = 0.450 m/s southeast relative to Earth

The velocity of the river, v = 0.680 m/s East relative to the Earth

The magnitude of the velocity of the canoe relative to the river = Required

Solution:

The x-component of the velocity of the canoe, vₓ, is given as follows;

vₓ = 0.45 × cos (45°) ≈ 0.31819805153

The x-component of the velocity of the canoe relative the river, \(v_{xr}\), is given as follows;

\(v_{xr}\) = 0.31819805153 - 0.680 = -0.36180194847

The y-component of the velocity of the canoe, \(v_y\) =  0.45 × sin (45°) ≈ 0.31819805153

The magnitude of the velocity of the canoe relative to the river, \(v_{cr}\), is given as follows;

√(0.31819805153² + (-0.36180194847)²) ≈ 0.4818201427

\(v_{cr}\) = \(\sqrt{0.31819805153^2 + (-0.36180194847)^2} \approx 0.482\)

Therefore;

The velocity of the canoe relative to the river, \(v_{cr}\) ≈ 0.482 m/s

\(The \ direction,\ \theta = \ arcsin\left (\dfrac{0.45 \times sin(45^{\circ})}{\sqrt{0.31819805153^2 + (-0.36180194847)^2} } \right) \approx 41.33^{\circ}\)

The direction of the canoe relative to the river, θ ≈ 41.33°

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In 2 - 3 sentences, explain the difference in Kinetic energy and Potential energy.

Answers

The main difference between Kinetic energy and Potential energy is that kinetic energy refers to movement while potential energy refers to storage.

What are Kinetic energy and Potential energy?

Kinetic energy is a type of energy in motion or energy in movement such as a turbine (mechanical energy), while Potential energy refers to the energy that is stored to be used when required (e.g. chemical bonds of foods).

Therefore, with this data, we can see that  Kinetic energy is used as movement, while Potential energy is stored to be used in the future.

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Imagine an experiment in which a 16 lb bowling ball and a 10 lb bowling ball are dropped from the fifth floor at the same time. The heavier ball will reach the ground first.
True or False

Answers

False. The heavier ball will not reach the ground first because both will reach the ground at the same time due to the law of gravity.

According to the law of gravity, all objects, regardless of their mass, will fall at the same rate in a vacuum. This means that the 16 lb bowling ball and the 10 lb bowling ball will reach the ground at the same time if they are dropped from the same height.

The only factor that would cause one of the balls to reach the ground first would be air resistance, which could potentially slow down one of the balls more than the other. However, in a vacuum, both balls will fall at the same rate and reach the ground at the same time.

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define the term force and give some examples of it

Answers

Force is a physical quantity that is used to describe the influence that one object has on another, which can cause a change in motion or deformation. In other words, force is a push or a pull that can change the speed, direction, or shape of an object. Force is measured in units of Newtons (N).

Example of the forces are following :-

There are different types of forces, including gravitational force, electromagnetic force, nuclear force, and contact force. Some examples of forces are:

Gravitational force: This is the force that exists between any two objects with mass. For example, the force that pulls objects towards the Earth's surface.

Frictional force: This is the force that opposes motion between two surfaces that are in contact with each other. For example, the force that slows down a moving car when the brakes are applied.

Tension force: This is the force that exists when a string, rope, or cable is pulled taut. For example, the force that holds a hanging object in place.

Magnetic force: This is the force that exists between two magnetic poles. For example, the force that pulls the north pole of a magnet towards the south pole of another magnet.

Electrostatic force: This is the force that exists between two charged particles. For example, the force that causes hair to stand on end when rubbed with a balloon.

Applied force: This is a force that is applied to an object by a person or machine. For example, the force that is used to push a lawnmower or lift a heavy box.

Overall, forces play a crucial role in understanding the physical world around us and how objects interact with each other.

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A water-balloon launcher with a mass of 1.75 kg is suspended on a wire. It fires a 1.25 kg balloon to the east at a velocity of 12.0 m/s. What is the resulting velocity of the launcher if the net force on the launcher is equal to the reaction force? O A. 6.1 m/s east B. 16.8 m/s west C. 7.6 m/s west D. 8.6 m/s west​

Answers

Answer:

8.6 to west

Explanation:

The initial momentum of the system is given by the sum of the momentum of the launcher and the momentum of the balloon. The correct answer is option C. 7.6 m/s west.

To solve this problem, we can apply the principle of conservation of momentum. According to this principle, the total momentum before an event is equal to the total momentum after the event, assuming no external forces act on the system.

The momentum of an object is calculated by multiplying its mass by its velocity.

Initial momentum = (mass of launcher × velocity of launcher) + (mass of balloon × velocity of balloon)

Let's substitute the given values into the equation:

Initial momentum:

\((1.75 kg * 0 m/s) + (1.25 kg * 12.0 m/s)\)

Initial momentum = 15 kg·m/s

Since the net force on the launcher is equal to the reaction force, we can assume no external forces act on the system. Therefore, the total momentum before firing the balloon is equal to the total momentum after firing the balloon.

Final momentum = (mass of launcher + mass of balloon) × final velocity of the launcher

Let's solve for the final velocity of the launcher:

Final momentum:

\((1.75 kg + 1.25 kg)\) × Final velocity of the launcher

15 kg·m/s = 3 kg × final velocity of the launcher

Dividing both sides of the equation by 3 kg gives us:

The final velocity of the launcher = 15 kg·m/s / 3 kg

The final velocity of the launcher = 5 m/s

Since the initial velocity of the balloon is to the east, the final velocity of the launcher will be to the west. Therefore, the correct answer is option C. 7.6 m/s west.

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A boy pulls a bag of baseball bats across a ball field toward the parking lot. The bag of bats has a mass of 6. 80 kg, and the boy exerts a horizontal force of 24. 0 n on the bag. As a result, the bag accelerates from rest to a speed of 1. 12 m>s in a distance of 5. 25 m. What is the coefficient of kinetic friction between the bag and the ground?

Answers

The coefficient of kinetic friction between the bag and the ground is found to be 0.0251. It represents the ratio of the frictional force to the normal force acting between them.

In this question, a boy pulls a bag of baseball bats across a ball field toward the parking lot. The bag of bats has a mass of 6.80 kg, and the boy exerts a horizontal force of 24.0 N on the bag. As a result, the bag accelerates from rest to a speed of 1.12 m/s at a distance of 5.25 m. We have to find the coefficient of kinetic friction between the bag and the ground.The formula used to find the coefficient of kinetic friction is given as,μk= (a/g) + μs (1 - a/g), Where, μk = coefficient of kinetic friction, a = acceleration of the body, g = acceleration due to gravity (9.8 m/s2), μs = coefficient of static frictionGiven, Mass of the bag (m) = 6.80 kg, Force applied (F) = 24.0 N, Initial velocity (u) = 0 m/s, Final velocity (v) = 1.12 m/s, Distance covered (s) = 5.25 m, Acceleration (a) = (v2 - u2) / 2s. Substituting the given values, a = (1.12² - 0²) / (2 * 5.25)m/s²a = 0.247m/s². Now, we will use the formula of the coefficient of kinetic friction. μk= (a/g) + μs (1 - a/g)Let's assume the value of μs to be zero.μk= (a/g) + 0 (1 - a/g) = μk= (a/g) + 0 (1 - a/g) = μk = (a/g) = μk = (0.247m/s²) / (9.8m/s²) = μk= 0.0251. Therefore, the coefficient of kinetic friction between the bag and the ground is 0.0251. In order to move the bag, the boy had to overcome friction. From the given values, we calculated the acceleration of the bag, which was found to be 0.247 m/s². Using this acceleration, we can find the coefficient of kinetic friction, which came out to be 0.0251. This value represents the ratio of the frictional force to the normal force acting between the bag and the ground.

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The diagram below shows a 5.0-kilogram bucket of water being swung in a horizontal circle of 0.70-meter radius
at a constant speed of 2.0 meters per second.
5.0-kg Bucket
0.70 m
The magnitude of the centripetal force on the bucket of water is approximately
1) 5.7 N
2) 14 N
3) 29 N
4) 200 N

Answers

Answer:

F = 29 N

Explanation:

We have,

Mass of the bucket of water is 5 kg

Radius of a horizontal circle is 0.7 m

Speed of the circle is 2 m/s

It is required to find the magnitude of centripetal force on the bucket of water. The formula used to find the magnitude of centripetal force is given by :

\(F=\dfrac{mv^2}{r}\\\\F=\dfrac{5\times (2)^2}{0.7}\\\\F=28.57\ N\)

or

F = 29 N

So, the centripetal force on the bucket of water is 29 N.

The magnitude of the centripetal force on the bucket of water is approximately 29 N

Definition of centripetal force

Centripetal force is the force that acts to keep an object moving in a circular motion. It is expressed mathematically as:

F = mv² / r

With the above formula, we can obtain the centripetal force acting on the bucket.

How to determine centripetal force

•Mass (m) = 5 Kg

•Radius (R) = 0.7 m

•Velocity (v) = 2 m/s

•Centripetal force (F) =?

F = mv² / r

F = (5 × 2²) / 0.7

F = (5 × 4) / 0.7

F = 20 / 0.7

F = 29 N

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Suppose that a ball is dropped from the upper observation deck of a building, 450 m above the ground. (a) What is the velocity of the ball after 7 seconds? (b) How fast is the ball traveling when it hits the ground?

Answers

(a) The velocity of the ball after 7 seconds is approximately 68.6 m/s.

(b) The ball is traveling at a speed of approximately 95.4 m/s when it hits the ground.

To determine the velocity of the ball after 7 seconds and its speed when it hits the ground, we can use the equations of motion under constant acceleration.

(a) The initial velocity of the ball is zero since it is dropped from rest. The acceleration due to gravity is approximately \(9.8 m/s^2\) (assuming no air resistance). Using the equation v = u + at, where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time, we can calculate the velocity after 7 seconds:

\(v = 0 + (9.8 m/s^2) * 7 s = 68.6 m/s\)

Therefore, the velocity of the ball after 7 seconds is approximately 68.6 m/s.

(b) To find the speed of the ball when it hits the ground, we need to determine the time it takes for the ball to fall from a height of 450 m. We can use the equation \(s = ut + (1/2)at^2\), where s is the displacement, u is the initial velocity, a is the acceleration, and t is the time. Rearranging the equation, we have \(t^2 = (2s) / a\).

\(t^2 = (2 * 450 m) / (9.8 m/s^2) = 91.84 s^2\)

Taking the square root, t ≈ 9.59 s

Now, we can calculate the final velocity using the equation v = u + at:

\(v = 0 + (9.8 m/s^2) * 9.59 s ≈ 94.1 m/s\)

Hence, the ball is traveling at a speed of approximately 94.1 m/s when it hits the ground.

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