a toy cannon is fixed to a small cart and both move to the right with speed v along a straight track, as shown above. the cannon points in the direction of motion. when the cannon fires a projectile the cart and cannon are brought to rest. if m is the mass of the cart and cannon combined without the projectile, and m is the mass of the projectile, what is the speed of the projectile relative to the ground immediately after it is fired?

Answer:

Approximately [tex]0.45[/tex] (assuming that the surface is level, the mass is moving at constant velocity, and that [tex]g = 9.81\; {\rm m\cdot s^{-2}}[/tex].)

Explanation:

With a power of [tex]P = 1.0\; {\rm kW} = 1.0\times 10^{3} \; {\rm W}[/tex], the work that would be done over [tex]t = 10\; {\rm s}[/tex] would be:

[tex]\begin{aligned}(\text{work}) &= (\text{power})\, (\text{time}) \\ &= (1.0\times 10^{3}\; {\rm W})\, (10\; {\rm s}) \\ &= 1.0 \times 10^{4}\; {\rm J}\end{aligned}[/tex].

Divide work by distance to find the force that did the work:

[tex]\begin{aligned} (\text{force}) &= \frac{(\text{work})}{(\text{distance})} \\ &= \frac{1.0\times 10^{4}\; {\rm J}}{50\; {\rm m}} \\ &= 200\; {\rm N}\end{aligned}[/tex].

If this mass is moving at a constant velocity, the magnitude of friction on this mass will be equal to that of the external force, [tex]200\; {\rm N}[/tex].

If the surface is level, the magnitude of the normal force on this mass will be equal to that of weight:

[tex]\begin{aligned}(\text{weight}) &= (\text{mass})\, g \\ &= (45\; {\rm kg})\, (9.81\; {\rm N\cdot kg^{-2}}) \\ &\approx 4.41 \times 10^{3}\; {\rm N}\end{aligned}[/tex].

Divide the magnitude of friction by normal force to find the coefficient of friction:

[tex]\begin{aligned}& (\text{coefficient of friction}) \\ =\; & \frac{(\text{friction})}{(\text{normal force})} \\ \approx\; & \frac{200\; {\rm N}}{(45\; {\rm kg})\, (9.81\; {\rm N\cdot kg^{-1}}))} \\ \approx \; & 0.45\end{aligned}[/tex].

The distance between two wavefronts is termed as wavelength.

The wavelength of a sound wave is defined as the space between two adjacent wavefronts. The number of wavefronts the observer detects during a period of time can be used to calculate the wave's frequency.

The medium (such as a vacuum, air, or body of water) through which a wave travels determines its wavelength. Waves can be anything from music to light to water to periodic electrical signals. While light and other electromagnetic radiation use variations in electric and magnetic field strength, sound waves are variations in air pressure. Water waves are fluctuations in a body of water's height. Atomic locations change during the shaking of a crystal lattice.

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Maximum load weight is the amount of permissiable load that can be carried by a vehicle in a particular country region.

Maximum load in a region is decided by the authority of that particular area. It can be calculated by subtract the curb weight from the GVWR . For example, if we have a  truck with a GVWR of 9,000 pounds and a curb weight of 6,000 pounds, the load limit will be 3,000 pounds: GVWR – curb weight = load limit

Or we can say that  the maximum allowable force that can be applied to a stage in a specified direction while meeting stage specifications is known as the maximum load weight.

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The limited aquifer's water quality will probably be better.

Unconfined aquifers are those where the ground's rock is directly exposed at the surface and groundwater is continuously refilled, for instance by precipitation or snowmelt. Thick deposits that surround an aquifer and keep it enclosed from the Earth's surface or other rocks are known as confined aquifers.

Because there is less drawdown over a smaller area with an unconfined aquifer than with a confined aquifer for the same rate of water withdrawal, unconfined aquifers are often preferred to confined aquifers from a hydraulic standpoint.

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Answer:

the answers are 3 seconds and 44.1 m

Answer:

44M

Explanation:

The speed of the car from the given three figures is most nearly 15 m/s.

For figure 2,

we know the exerted force speed is 5 m/s, so frictional force is

[tex]F_f[/tex] = [tex]\frac{Mv^2}{\gamma}[/tex]

= [tex]\frac{M(5)^2}{\gamma}[/tex]

For figure 3,

we know the frictional force is 9. So,

9 [tex]F_f[/tex] = [tex]\frac{Mv^2}{\gamma}[/tex]

Then using two figures we can calculate the speed of the car.

equation figure 3 / equation figure 2

=> 9 = v^2 / (5)^2

=> v^2 = 9*(5^2)

=> v^2 = 225

=> v = 15 m/s

Thus, the speed of the car is 15 m/s.

Your question is incomplete, but most probably your full question was

(image attached)

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Answer:

to move faster

Explanation:

momentum, product of the mass of a particle and its velocityit has both magnitude and direction. Isaac Newton's second law of motion states that the time rate of change of momentum is equal to the force acting on the particle. See Newton's laws of motion.

Answer:

gaining speed

Explanation:

Heritage of Leavitt Using Cepheid variables, the distance to Andromeda of 2.5 million light-years was determined in the 1920s, demonstrating the galaxy's significant distance from the Milky Way.

Distance Measuring with Cepheid Variables After determining a distant Cepheid's period, its brightness can be calculated using the known characteristics of Cepheid variables.

A Cepheid's fluctuation period correlates closely with its luminosity, as Henrietta Swan Levitt observed. The Cepheid becomes increasingly bright as the variability period lengthens. Astronomers have measured the distances to distant galaxies by observing Cepheid variables.

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A point's sound intensity level is expressed in logarithmic units of decibels (dB) as a ratio between the sound there and the threshold of hearing.

Whispering is audible at 30 dB. 40 dB: Quiet sounds from the library. Fridge at 50 dB. Electric toothbrush at 60 decibels.

In decibels, sound is measured (dB). A motorcycle engine running is around 95 dB louder than a whisper (30 dB louder than typical conversation). Long-term exposure to noise levels above 70 dB may cause hearing impairment. Your ears may get immediately harmed by loud noises over 120 dB.

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CO2 is utilized for a variety of applications throughout the entire food industry.In addition to being used to create sugary beverages, CO2 is also employed in a number of other processes, including the drying of produce to lengthen its shelf life, the usage of dry ice to keep goods cool during shipping, the tranquilization of animals before to slaughter, and many others.

The manufacturing of food and beverages is actually made up of more than 30 different industries.Slaughterhouses, the preparation of meat, poultry, & fish, grain mills, maltings, bakery, sugar confectioneries, the preparation of vegetables and fruits oils and fats, margarine, and oil seeds, pasta, baby food, and milk products are a few examples.

The agricultural service, producers, processors, & marketers are the major segments of the food industry.

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Compared to the speed of the heavier block, the speed of the light block travel is twice as fast.

Distance is an object's overall movement in a directionless fashion. Regardless of the starting or ending point.

Length can be defined as the quantity of space an object has covered.

We may find out an object's actual size by knowing how far away it is. The area an object covers in space above us can be measured. Once we understand how far away it is, we can calculate its true size. An thing appears smaller the further away it is.

The algebraic phrase known as the distance formula, which provides the distances between two places in terms of its coordinates. The distance formula for points in rectangular coordinates in two- and four Euclidean space are based on the Pythagorean theorem.

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Answer:

Some of the key characteristics of galaxies and galaxy clusters include their size, shape, and structure. Galaxies and galaxy clusters are also distinguished by the presence of dark matter, a mysterious substance that is thought to make up most of the mass in the universe. Additionally, galaxies and galaxy clusters are important sites for the formation and evolution of stars and other celestial objects.

Explanation:

Galaxies are vast collections of stars, gas, and dust that are held together by gravity. They come in a variety of shapes and sizes, ranging from small, irregular galaxies to large spiral galaxies with well-defined arms. Galaxies also contain a central region known as the nucleus, which may be home to a supermassive black hole.

Galaxy clusters are groups of galaxies that are held together by gravity. They are the largest structures in the universe, and they can contain hundreds or even thousands of individual galaxies. Galaxy clusters are typically separated by vast distances, and they are bound together by the mutual gravitational attraction of their constituent galaxies.

The coal price of $90/ton with a heat content of 7000 BTU per pound is D: $6.42/MMBtu.

The formula to calculat mmbtu from tons is as follows -

Price per mmbtu = price per ton × 500/ BTU per pound

Keep the values in formula to find the price per mmbtu

Price per mmbtu = (90×500)/7000

Performing multiplication in numerator on Right Hand Side of the equation

Price per mmbtu = 45000/7000

Performing division on Right Hand Side of the equation to find the price per mmbtu for coal

Price per mmbtu = $6.42/mmbtu

Thus, the correct option is D: $6.42/MMBtu.

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Answer:

the correct answer is B) 27.

Explanation:

To find the angle of refraction, you can use the formula:

n1 * sin(angle of incidence) = n2 * sin(angle of refraction)

where n1 and n2 are the refractive indices of the two media (in this case, air and the liquid), and the angles are measured from the normal to the surface.

Plugging in the values from the problem, we have:

1 * sin(40) = 1.5 * sin(angle of refraction)

Solving for the angle of refraction, we get:

angle of refraction = sin^-1(1/1.5 * sin(40))

Using a calculator or a table of trigonometric functions, we can find that the value of sin^-1(1/1.5 * sin(40)) is approximately 27.3 degrees.

Therefore, the correct answer is B) 27.

The the velocity which the water flow out of the tank  is  29.698 m/s

What is Bernoulli's principle?

It gives the relationship between pressure, kinetic energy, and gravitational potential energy of a fluid in a container .

P₁ + 1/2ρv₁² + ρgh₁ = P₂ + 1/2ρv₂² + ρgh₂

Since it is a open tank,

P₁ = P₂ = P₀ , atmoshperic pressure

h₁ = 50m

h₂ = 5m

v₁ = 0

Applying Bernoulli's principle

P₁ + 1/2ρv₁² + ρgh₁ = P₂ + 1/2ρv₂² + ρgh₂

P₀ + 0 + ρgh₁ = P₀ + 1/2ρv₂² + ρgh₂

ρgh₁ = 1/2ρv₂² + ρgh₂

v₂ = √(2g(h₁-h₂))

  =  √(2×9.8(50-5))

 =  29.698 m/s

Therefore the velocity which the water flow out of the tank  is  29.698 m/s

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Executive agreements differ from formal treaties in that they 1) have been ruled unconstitutional by the U.S. Supreme Court. meetings of the United Nations. Option 5

The president can influence the public through : all of the above. Option 4

A treaty is ratified by the legislature, whereas executive agreements are ratified by the heads of government of two or more nations. To differentiate them from agreements that are legally enforceable, such as treaties, executive agreements are seen as having political force.

Presidents have routinely negotiated international accords on behalf of the United States without the Senate's advise or assent in recent decades. We refer to these as "executive agreements." Executive agreements are still enforceable in accordance with international law even when they are not submitted to the Senate for approval.

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Risk Genetic a medical condition that affects one or more of your immediate relatives. having a family member who was diagnosed with a disease at a young age (typically before age 55).

The reason one child has blonde hair like their mother and their sibling has brown hair like their father, for instance, is genetic. Additionally, genes influence both the gender of newborns and why some diseases run in families.

Genetic factors play a significant role in many diseases. It follows that either all or portion of the risk is inherited from one's parents. One such illness is CADASIL, which is brought on by a mutation in just one gene.

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C) Move the lens closer to the sensor or the film . Option (c) is the right           answer.

Assume that we are trying to take a picture or photograph of a moving object

as we know, the f-stop value tells us about the color of the image. That means it actually depicts that how dark is the image. would be. in simple words, it determines the amount of light that will be able to enter to the eye. Therefore, option a,b are incorrect.

Now the focus length of the camera is always fixed. Now let our object is moving away from the lens, then to keep it in focus, the camera must be moved closer to the object. This step is essential to keep focal length constant.

Hence, the correct option is (c).

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Option C; If the Sun were twice as massive the pull of the Earth on the Sun would double.

A hot, incandescent ball of hydrogen and helium at the center of our solar system, our Sun is a 4.5 billion year old star. Despite the Sun's distance from Earth, which is around 93 million miles (150 million kilometers), life as we know it would not be possible on our planet without the Sun's radiation.

To fill the volume of the Sun, 1.3 million Earths would be required. The solar system is held together by its gravity, which keeps everything in orbit around it, from the largest planets to the smallest pieces of junk. The Sun's core, which reaches temperatures of more than 27 million degrees Fahrenheit, is its hottest region (15 million degrees Celsius).

Option C; If the Sun were twice as massive the pull of the Earth on the Sun would double.

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There is a sizable mountain range slicing through the ocean floor. Far from the ridges, deep pits can be found. Deeply below sea level, guyots have eroded tops.

The evidence is gathered. These conclusions are: There is a sizable mountain range slicing through the ocean floor. Far from the ridges, deep pits can be found. Deeply below sea level, guyots have eroded tops.

Earthquake studies. Seismic investigations that show earthquakes happen along a mid oceanic ridge's rift valley and the cross-cutting fractures that offset it provide additional evidence for the spreading of the sea floor.

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The chemical formula of Magnesium Bromine MgBr₂.

As the name says MgBr, we can easily conclude that in this compound there are two elements present.

One of the elements is Magnesium which is denoted by Mg, while the other is Bromine which is denoted by Br.

Magnesium is a metal while bromine is a non-metal, the combination of both elements will be Magnesium bromide which is denoted by MgBr2, which is an ionic compound.

Magnesium bromide is a chemical compound which is formed by the combination of magnesium and bromine.

The chemical formula of Magnesium Bromine MgBr₂.

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The amount of force necessary to maintain an object is moving at precisely the same speed—or sliding friction—is measured. The object begins to move after the imparted force. static or sliding friction measurement.

The definition of friction force

Intensity of Friction What Is Frictional Force? Friction is the force that prevents motion when one object's face scrapes against another's surface. The mechanical advantage of a machine is diminished by friction, or even more specifically by a decline in the output to input ratio.

Why is friction an antagonistic force?

Rubbing acts as just a repelling force when one body moves through a surface. Friction is the result of two surfaces interacting with one another. If a layer is not fluid, then objects cannot move through it.

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To find the missing angles when a transversal cuts through parallel lines, use the properties of parallel lines and the corresponding angles formed when they are cut by a transversal. The angles will always add up to 180°.

To find the missing angles when a transversal cuts through parallel lines, you can use the properties of parallel lines and the corresponding angles formed when they are cut by a transversal. When a transversal cuts through two parallel lines, corresponding angles are equal, alternate angles are equal and consecutive angles are supplementary, meaning they add up to 180°. You can use these properties to calculate the missing angles. For example, if you know one angle and its corresponding angle are equal, you can use that information to calculate the other missing angles. You can also use the fact that alternate angles are equal and consecutive angles are supplementary to calculate the missing angles. Once you have all the angles, you can verify your answer by making sure that all of the angles add up to 180°.

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The energy transfered to the hand of the watch is 0.05 J.

Energy is the ability or the capacity to perform work.

To calculate the energy transfered to the hand, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the energy transfered is 0.05 J.

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The building that stands at 1,776 feet tall in a nod to the Declaration of Independence is the One World Trade Center in New York City.

The One World Trade Center is the main building of the World Trade Center complex, which was built on the site of the original World Trade Center buildings that were destroyed in the September 11, 2001 attacks.

The height of 1,776 feet was chosen for the One World Trade Center as a symbolic reference to the year 1776, when the Declaration of Independence was signed. The One World Trade Center is the tallest building in the United States, and it is one of the tallest buildings in the world. It features a distinctive spire at the top that is lit up at night, making it a recognizable landmark on the New York City skyline.

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The loss of kinetic energy of the moving car is 238,866 J

Kinetic energy is the energy in a moving object due to its motion,

K.E. = 1/2 M[tex]V^{2}[/tex]

Given in the question,

Mass of big car M1 = 1640 kg

Mass of small car M2 = 820 kg

Initial velocity of big car V1 = 0

Initial velocity of small car V2 = 25.6 km/s

using the principle of conservation of momentum,

Total momentum before collision = total momentum after collision

M1V1 + M2V2 = V (M1+M2)

1640 × 0 + 820×25.6 = V ( 1640+ 820)

V = 820 ×25.6 /2460

   = 8.53 Km/s

So, loss of kinetic energy of the small car = 1/2 M2[tex]V^{2}[/tex]

                                                                     = 1/2 × 820× ([tex](25.6)^{2}[/tex] - [tex](8.53)^{2}[/tex])

                                                                     = 238,866 J

The given question is incomplete, the complete question is

An 1640 kg car stopped at a traffic light is struck from the rear by a 820 kg car. The two cars become entangled, moving along the same path as that of the originally moving car. If the smaller car were moving at 25.6 m/s before the collision, what is the velocity of the entangled cars after the collision?

What is the loss of kinetic energy (Ki - Kf) in the situation described in the example?

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Since we know that kinetic energy equals work done, kinetic energy will produce more in the first scenario.Because the first case's work was more than the second, kinetic energy exists.

Does kinetic energy vary as a result of work?

According to the work-energy theorem, the net work performed by forces acting on an item equals the change in kinetic energy.

When does kinetic energy become more significant?

The kinetic energy of an object, in contrast to potential energy, is relative to other fixed and moving things that are present in its immediate vicinity. For instance, if the object is positioned at a higher height, its kinetic energy will be higher

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the rod reaches a steady speed, it accelerates to the right.continues to move.

A displacement how an object or particle experiences with regard to time is expressed vectorially as velocity.One meter / second (m/s) is the accepted unit of flow speed (also known as speed).

Velocity is the pace and direction of the an object's movement, whereas speed is the timekeeping that an object is travelling along a path.In other words, velocity is a vector, whereas speed is indeed a scalar value.

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The graph representing a line with constant slope increasing represents the relation between speed and time of the dart-potato system.

Increasing slope represents that the slope is positive and as the quantity on x- axis increases, the quantity on y-axis also increases.

Momentum is said to be conserved before and after collision in a two-object system. Here, the two objects are said to be dart and potato. The potato and dart after collision are said to move by sticking together after the collision.

The potato-dart system is said to be moving with increasing velocity after the collision. The speed of the potato-dart system is given as v.

The question is incomplete. The speed v of the centre of mass of the dart-potato system, as a function of time t, before, during, and after the collision is represented by the graph attached below.

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