The students in Mrs. Mangione's class attempt to guess the number of marbles in a jar to earn 2 extra credit points on their next exam. Suppose there are 1206 marbles in a jar and a student makes a guess of m marbles. Which expression represents the difference between the student's guess and the actual number of marbles.

We're given

[tex]\vec A = -(8.0\,\mathrm m)\,\vec\imath[/tex]

and

[tex]\vec A \times \vec B = (16.0\,\mathrm m^2) \, \vec k[/tex]

Recall that

[tex]\vec\imath \times \vec\jmath = \vec k[/tex]

so [tex]\vec B[/tex] must pointing in the -y direction, which means

[tex]\vec B = -\|\vec B\|\,\vec\jmath[/tex]

Then it follows that

[tex]\vec A \times \vec B = (8.0\,\mathrm m)\|\vec B\| (\vec\imath\times\vec\jmath) = (16.0\,\mathrm m^2) \, \vec k \\\\ \implies \|\vec B\| = \boxed{2.0\,\mathrm m}[/tex]

Answer:

protons: 6

electrons: 6

neutrons: 8

Explanation:

atomic number -> number of protons -> 6

mass number -> number of protons + number of neutrons

    so 14-6 = 8. 8 neutrons

this atom is neutral (net charge is 0), so the number of electrons is the same as the number of protons, which is 6

Answer:

14,728,560 feet

Explanation:

1 foot is 5280 feet multiply by 2789.5 and get this

Explanation:





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Class 11

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>>State Newton's formula for the velocity

Question



State Newton's formula for the velocity of sound in a gas. What is the Laplace's correction?

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Updated on : 2022-09-05

Solution



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According to Newton, velocity of sound in any medium is given by v=pE where E is the modulus of elasticity and p is the density of the medium.

For gases E = B, bulk modulus

∴v=pB.............(1)

When sound waves travel through a gas alternate compressions and rarefactions are produced. At the compression region pressure increases and volume decreases and at the rerefaction region pressure decreases and volume increases. Newton assumed that these changes take place under isothermal conditions i.e., at a constant temperature.

Under isothermal condition, B = P, pressure of the gas.

∴ In (1) v=pP.............(2)

This is Newton's formula for velocity of sound in gas.

For air at NTP, P=101.3 kPa and p=1.293 kgm−3

Substituting the values of P and p in, equation (1) we get v = 280 m/s. This is much lower than the experimental value of 332 m/s. Thus Newton's formula is discarded.Laplace's correction:

According to Laplace, in a compressed region temperature increases and in a rarefied region it decreases and these changes take place rapidly. Since air is an insulator, there is no conduction of heat. Thus changes are not isothermal but adiabatic.

Under adiabatic condition, B=y P, where y is the ratio of specific heats of the gas.

Substituting in equation (1) v=pγP

The above equation is called Newton - Laplace's equation

Sunstituting the values of P, p and y in the above equation, give the velocity of sound in air at NTP to be about 331 m/s. This is in close agreement with the experimental value.

When a 25 g mass is attached to the same spring, the spring is stretched by 2 cm.

According to the question, when a spring is stretched or compressed, the restoring force generated in the spring (towards its mean position) is directly proportional to the length to which it is stretched or compressed.

Mathematically - F = - Kx

Given is a situation in which a stretch of 8 cm is caused by a 100g mass.

From this, we can write -

Mass [m] = 100 g = 0.1 Kg

Displacement [x] = 8 cm = 0.08 m

According to the question -

We will first find the spring constant [K]. Using Hook's law -

F = -Kx

mg = -Kx

K = - mg/x

K = - (0.1 x 9.8) / 0.08

K = - 12.25 N/m

|K| = 12.25 N/m

Now, when mass [M] = 25g = 0.025 Kg, using Hook's law -

|F| = |- kx| = kx

Mg = 12.25x

x = Mg/12.25

x = (0.025 x 9.8)/12.25

x = 0.02

x = 2 cm

Therefore, when a 25 g mass is attached to the same spring, the spring is stretched by 2 cm.

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The initial velocity of the car is u = 0 m/s because the car starts from rest.

The acceleration of the car is a = [tex]2m/s^{2}[/tex].

The instantaneous velocity is v = 16 m/s.

By applying the formula that connects the details that we have with the duration

a = v − u t

      t

we get the duration as follows

Make t the subject of the formula

    t = v − u

            a

=  16m/s− 0 m/s

      [tex]2M^{2}[/tex]

= 8s.

The duration for that speed change is 8s.

Calculating acceleration involves dividing velocity by using time or in phrases of SI units, dividing the meter according to the second m/s by the second one. Dividing distance by time twice is the same as dividing distance via the rectangular of time. hence the SI unit of acceleration is the meter according to 2nd squared. If the acceleration is consistent, it's far viable to discover acceleration without time if we have the preliminary and final pace of the item as well as the amount of displacement. The system v2=u2+2as where v is the final velocity, u is the initial velocity, a is the acceleration and s is the displacement is used.

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Answer:

Daniel Bernoulli – a Swiss physicist and mathematician – discovered that for an inviscid flow of a non-conducting fluid, an increase in the speed of the fluid occurs simultaneously with a decrease in pressure or a decrease in the fluid’s potential energy. * This is known as the Bernoulli Principle.The Bernoulli principle can also be used to describe a downward lift force, such as that required by speed skiers, cyclists and racing cars. The car, bike and skis need to be pushed down into the ground so a greater frictional force is created

Explanation:

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He wants to see the gold before he dies. It shows he just cares about fame, glory, and riches.

He wants to be remembered with the aid of a tower named Beowulf's tower constructed where he died so all the sailors can see it. They emphasize how the Geats understood that the riches and treasure Beowulf accumulated were nugatory compared to the bravery he showed. They make clear that Beowulf's followers did now not accept as true each person but their king with the riches and treasure. when they burn my frame, inform my warriors to construct a notable burial mound on the cliffs that stick out into the sea.

The king and warrior Beowulf is remembered and commemorated through his grave is placed at the pinnacle of a sea cliff. Beowulf's Barrow guarantees that any ship that passes through will see Beowulf's grave, encouraging the human beings in it to tell memories about his greatness. Beowulf orders Wiglaf to build a barrow for him on the coast after his frame has been burned on a funeral pyre. This barrow might be seen by ships and remind people of Beowulf's first-rate deeds.

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The correct answer is t = 0.21 sec.

Spring constant  K = 9.0 N/m

Mass of the block = m = 1.6 kg

If the block is stretched away from equilibrium paint by distance y then restoring force is

F_(restoring) = ky = ma

a = (k/m) y

Angular frequency is w = √k/w

Time period of oscillation is T = 2π/ω

T = 2π √m/k

T = 2π × √ 1.6/9.0 sec

T = 0.421 sec

Initially block is released from negative extreme (y =-A)

When block is released from positive extreme ( y = +A)

for first time then it completes half of the complete oscillation. So time taken is equal to half of the time period t= T/2 = 0.421/2 sec

t = 0.21 sec

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The correct answer is true.

Over 80% of persons in the US regularly drink caffeine. Given that the majority of tasks we engage in in daily life involve complex decision-making, motor processing, and movement, this review investigates the effects of coffee on cognitive and physical function. By inhibiting adenosine receptors, caffeine produces its effects. Caffeine has positive benefits on alertness, vigilance, attention, response time, and attention at low (40 mg or 0.5 mg kg1) to moderate (300 mg or 4 mg kg1) doses, but fewer consistently positive effects are shown on memory and higher-order executive function, such as judgement and decision-making.

Following doses above around 200 mg (3 mg kg1), effects on physical performance are noticeable for a wide range of physical performance metrics, including time-to-exhaustion, time-trial, muscle strength and endurance, and high-intensity sprints typical of team sports. To succeed, maintain workplace safety, and increase productivity, many jobs, including the military, first responders, transport workers, and factory shift employees, require optimal physical and cognitive function. Repeated caffeine administration is a successful method to sustain physical and cognitive capacities in these conditions, which may include little sleep.

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Answer:

d: 4m/s

Explanation:

speed=d/t

S=2-10/8-10

S=4

Since the beginning of the industrial revolution, human activity has been responsible for a substantial alteration in the chemical makeup of the atmosphere as well as a large rise in the concentration of greenhouse gases. These gases enable the atmosphere to retain more heat, similar to how a greenhouse works, which ultimately results in long-term changes to our climate.

This is further explained below.

Generally, The molecules of the many gases that make up our atmosphere make up the air that we breathe.

Nitrogen makes up roughly 78 percent of the atmosphere, followed by oxygen (about 21 percent), and argon (nearly 1 percent). There are also, but in much lower concentrations, other chemicals that may be found in the air we breathe.

In conclusion, gases enable the atmosphere to retain more heat, similar to how a greenhouse works, which ultimately results in long-term changes to our climate.

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Their atoms have eight electrons in their valence shells, so noble gases are very unreactive.

Explanation:

The octet rule state that atoms tend to complete their last energy levels with eight electrons, and that this configuration make them very stable and unreactive.

Noble gases are characterized as unreactive atoms, and this is associated with the fact that they have a complete valence shell, it means that they have eight electrons on it (they follow the octet rule).

Atoms with less electrons on their valence shells tend to react with another atom, forming bonds, to complete their valence shells (with eight electrons).

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Answer:\

unbalances and slow direction is the answer

Explanation:

Answer:

no change in motion

Explanation:

The potential in the parallel-plate capacitor which has a separation of 3.34mm, and each has an area of 10.0 cm² has a potential of 2.52 giga .

Capacitance of a capacitor is a physical property that refers to the ratio of charge store in the parallel plate capacitor to its potential.

Vacuum permittivity, commonly denoted ε₀, is the value of the absolute dielectric permittivity of classical vacuum. It may also be referred to as the permittivity of free space, the electric constant, or the distributed capacitance of the vacuum.

Given:

Charge in the parallel plate capacitor =  670 micro coulomb

Area of the parallel plate capacitor = 10 cm square

Area of separation between plate = 3.34 mm

First we will find the the capacitor in the parallel plate capacitor using its formula.

Capacitance = 2.65 Pico meter

Using the defination of capacitance we have,

Potential of the parallel plate capacitor = capacitance × charge

Potential of the parallel plate capacitor = 670/2.65

Potential of the parallel plate capacitor = 2.52 giga

Therefore, The potential in the parallel-plate capacitor which has a separation of 3.34mm, and each has an area of 10.0 cm² has a potential of 2.52 giga .

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The impulse of the cart is 18.2 kg-m/s

We are required to find the impulse on the cart

It is given to us that mass of cart is 13kg

It is also given that increase in speed is 1.4 m/s

We are required to find the impulse on the cart

Impulse :

Impulse of a body is defined as change in the momentum of the cart.

Impulse I = m(v-u)/t

Now  (v-u)/t is the change in speed and it is given to us that there is increase in speed and hence it must be positive.

(v-u)/t = 1.4m/s

Therefore,

Impulse of cart is equal to its change in momentum:

Putting the value of mass  in the equation, we get:

I = m(v-u)/t

  = 13 x 1.4 = 18.2 kg-m/s

Therefore, the impulse of the cart is 18.2 kg-m/s

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Volume air = 1700 L(7.50 ⋅ 10^−4 K ^− 1 − 3 ⋅ 1.20 ⋅ 10^−5 K^−1) ⋅ 9 K ≈ 10.9L

Volume is a measurement of three-dimensional space that is occupied. [1] Numerous imperial units or SI-derived units, such as the cubic metre and litre, are frequently used to quantify it numerically (such as the gallon, quart, cubic inch). Volume and length (cubed) have a symbiotic relationship. The volume of a container is typically thought of as its capacity, not as the amount of space it takes up. In other words, the volume is the amount of fluid (liquid or gas) that the container may hold.

Arithmetic formulas can be used to quickly calculate the volume of several straightforward three-dimensional shapes. If a formula for the shape's boundary is known, it is possible to use integral calculus to determine the volumes of more complex shapes. Nothing in the dimensions of zero, one, or two has volume.

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The pitching of a 70 mph curveball and a 100 mph fastball can be most closely connected to Newton's Laws of Motion, specifically the first law, which is also known as the law of inertia.

According to Newton's first law, an object at rest will stay at rest, and an object in motion will continue in motion with the same velocity and in the same direction unless acted upon by an unbalanced force. In the case of the pitcher throwing the curve ball and fastball, the ball initially starts at rest in the pitcher's hand, and the pitcher then applies a force to the ball, accelerating it to the desired velocity. Once the ball is in motion, it will continue to move at a constant velocity unless acted upon by external forces, such as gravity or air resistance.

The curveball and fastball also demonstrate the third law of motion, which states that for every action, there is an equal and opposite reaction. When the pitcher throws the ball, the force he applies to the ball generates an equal and opposite force on the pitcher's arm. This reaction force is what propels the ball forward and enables it to travel at high speeds.

Therefore, the pitching of a 70 mph curveball and a 100 mph fastball can be most closely connected to Newton's Laws of Motion, specifically the First and Third laws.

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Answer:

Beneficial microorganisms cause fermentation while harmful or pathogenic microorganisms cause putrefaction. Fermentation is a process by which useful substances such as alcohol, amino acids, organic acids and antioxidants are produced. These substances are useful to man, plants, and animals.

Explanation:

The horizontal velocity with which Robert projected himself is v = 31.35m/s.

Given,

Y = 50m

X = 100m

So, the position function is

Y = -(9.8/2)t²+ 50 = 0

t = 3.19s

Now use speed distance relationship

X = vt

So,

v = X / t

v = 100 / 3.19

v = 31.35m/s

A vector measurement of the rate and direction of motion is what is meant by the term "velocity." Simply put, velocity is the rate of movement in a single direction. Velocity can be used to gauge both the speed of a rocket launching into space and the speed of a car traveling north on a busy freeway. Velocity is the rate and direction of an object's movement, whereas speed is the time rate at which an object is moving along a path.

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Graph B represents the velocity of the sphere changes over time when falling with constant acceleration.

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The displacement of the object after 1 second, is 3 m.

The displacement of the object after 3 seconds, is 9 m.

The displacement of the object after 5 seconds, is 15 m.

The displacement of an object is the change in the position of the object.

The displacement of the object after 1 second, x = 3 m/s x 1 second = 3 m

The displacement of the object after 1 second, x = 3 m/s x 3 s = 9 m

The displacement of the object after 1 second, x = 3 m/s x 5 s = 15 m

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According to Law of conservation of energy,

"Energy can neither be created , nor be destroyed . I t can only be changed from one form to another."

Hence it clearly states that energy cannot be destroyed and hence energy is transformed from one form to another.

It is due to this very reason that devices are able to transform cell's chemical energy in torches to light energy .

Even the loudspeakers, earphones are able to convert electrical energy into sound energy by consuming electrical energy and converting it to various forms

Thus these devices are possible due to the law of conservation of energy.

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Both A and B are correct about kinetic energy.

Kinetic energy is a type of power that a moving object or particle possesses. An item accumulates kinetic energy when work, which involves the transfer of energy, is done on it by exerting a net force. A moving object or particle has kinetic energy, which depends on both its mass and its rate of motion.

The type of motion can be vibration, rotation on an axis, translation (or travel along a path from one place to another), or any combination of these. A body's translational kinetic energy is equal to half of the product of its mass, m, and its squared speed, v or 1/2 mv^2

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Answer:

1.) Lose electrons

2.) Ionic Bonding

Explanation:

Elements on the left side of the periodic table lose electrons during ionic bonding. These elements lose electrons because it is easier for them to give up a few electrons rather than to try and gain many more to achieve a full valence octet. On the other hand, the elements on the right side have close to 8 valence electrons. Therefore, they are more likely to take electrons to make up this small gap rather than give many more away.

As the temperature of the balloon is lowered, its volume will decrease as well.

The kinetic theory of matter  says that all matter consists of many, very small particles which are constantly moving or in a continual state of motion.

According to Charles law, the volume of a fixed mass of a gas is directly proportional to its absolute temperature.

Based on Charles law, as the temperature of the balloon is lowered, its volume will decrease as well because the average kinetic energy of the gas molecules has reduced, the rate of gas collision decreased, which will cause a drop in the volume of the balloon.

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Answer:

Because the temperature Would Most likey increase And same with the Beans! :D <3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3

Explanation:

Im pretty sure the answer is A and B