Twenty particles, each of mass m₀ and confined to a volume V , have various speeds: two have speed v , three have speed 2 v , five have speed 3 v , four have speed 4 v , three have speed 5 v , two have speed 6 v , and one has speed 7 v . Find(a) the average speed.

The momentum of the first truck is 40,000 kgm/s.

The velocity of the second truck with equal momentum is 28.57 m/s.

The given parameters:

The momentum of the first truck is calculated as follows;

P = mv

P = 4000 x 10

P = 40,000 kgm/s

The velocity of the second truck with equal momentum is calculated as follows;

\(P = mv\\\\v = \frac{P}{m} \\\\v = \frac{40,000}{1,400} \\\\v = 28.57 \ m/s\)

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To achieve total internal reflection, the minimum refractive index of the plastic must be at least 0.869 when a ray of light is incident at an angle of 61 degrees on the center of one side of the plastic slab in air.

The minimum refractive index of the plastic can be found , we need to consider the conditions for total internal reflection.

Total internal reflection occurs when the angle of incidence is greater than the critical angle, which is the angle at which the refracted ray is at a 90-degree angle to the normal.

In this scenario, the ray of light is incident on the plastic at an angle of 61 degrees. We can use Snell's law to relate the angle of incidence to the angle of refraction:

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

Here, n1 is the refractive index of air (approximately 1), and n2 is the refractive index of the plastic.

Since we want the light to be totally internally reflected, the angle of refraction will be 90 degrees. Thus, we have:

1 * sin(61 degrees) = n2 * sin(90 degrees)

Rearranging the equation, we get:

n2 = sin(61 degrees) / sin(90 degrees)

Calculating this expression, we find that n2 is approximately 0.869.

Therefore, the minimum refractive index of the plastic should be at least 0.869 to ensure total internal reflection in this scenario.

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Complete question:

A ray of light is incident on a square slab of transparent plastic in air. It strikes the center of one side at an angle of 61 degrees. Find the minimum refractive index of the plastic if the light is to be totally internally reflected.

Answer:

B. B and D

Explanation:

the steepness the acceleration whether it's up or down. hope this helps:)

Given:

Resistance of hair dryer, R1= 12.0 Ohms

Resistance of lamp, R2 = 125 ohms

Voltage of source = 125 V

Resistance = 1.50 ohms

Let's find the curent through the lamp when the hair dryer is on.

Here, the lamp and dryer are connected in parralel. To calculate the equivalent resistance, apply the formula:

Now, the Rp and the resistor are connected in series.

To find the equivalent resistance in series, we have:

We now have a single resistor flowing through the 125 voltage source.

To find the current, apply Ohm's law:

Solve for the current (I), where:

V = 125 volts

R = 12.4 Ω

Thus, we have:

Since the resistor and Rp are connected in series, we have:

Since the dryer and the lamp are in parallel, the voltage through them are the same.

V(dryer) = V(lamp) = 110.1 Volts

To find the current flowing through the lamp, we have:

Therefore, the current through the lamp when the hair dryer is on is 0.880 ampere.

ANSWER:

1) 0.880 A

Answer:

Acceleration is the rate of change of velocity. Usually, acceleration means the speed is changing, but not always. When an object moves in a circular path at a constant speed, it is still accelerating, because the direction of its velocity is changing.

Answer:

1.5 m/s²

Explanation:

Applying,

a = (v-u)/t ...................... Equation 1

Where a = acceleration of the particle, v =  final velocity of the particle, u = Initial velocity of the particle, t = time.

From the question,

Given: u = 0 m/s (From rest), v = 15 m/s, t = 10 seconds

Substitute these values into equation 1

a = (15-0)/10

a = 15/10

a = 1.5 m/s²

Answer:6CO2 + 6H20 + (energy) → C6H12O6 + 6O2 Carbon dioxide + water + energy from light produces glucose and oxygen

Explanation:

The magnitude of the normal force exerted on the car by the walls of the cylinder at point A is equal to the calculated centripetal force.

Magnitude is a measure of the size of a physical quantity usually explain it as a numerical value of the octane used to compare the relative size of different object of phenomenon. It is typically used to measure the intensity.

The magnitude of the normal force exerted on the car by the walls of the cylinder at point A (at the bottom of the vertical circle) is equal to the centripetal force, which is the force that is responsible for changing the direction of the car’s movement.

The magnitude of the centripetal force can be calculated using the following formula:

F = mv²/r

Where F is the centripetal force, m is the mass of the car, v is the speed of the car and r is the radius of the circle.

Therefore, the magnitude of the normal force exerted on the car by the walls of the cylinder at point A is equal to the calculated centripetal force.

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Answer:

A) 1.79ohms

Explanation:

Total resistance of resistors in parallel is given by ;

1/R = 1/R1 + 1/R2 +1/R3

Put in the values and make R the subject

Microorganism: A microscopic organism, such as a bacterium or virus ; Pathogen: An organism or substance capable of causing disease;  Toxin: A poisonous substance produced by living cells or organisms.

Parasite: Organism that lives on/ within another organism (host), causing harm to host.

Virus: Submicroscopic infectious agent that replicates inside living cells.

Bacteria: Single-celled microorganism that can cause disease or aid in various biological processes.

Fungi: A group of organisms that includes yeasts, molds, and mushrooms, often associated with the decomposition of organic matter.

Inflammatory response: Physiological response to injury or infection characterized by redness, heat, swelling, and pain.

Phagocyte: Type of white blood cell that engulfs and destroys foreign substances in the body.

Lymphocyte: A type of white blood cell responsible for the body's immune response.

Antigen: Substance that triggers an immune response by the body.

Antibody: Protein produced by the body in response to the presence of an antigen, which helps to neutralize or destroy the antigen.

Immunity: Ability of the body to resist disease through the production of antibodies.

Vaccination: Administration of a vaccine to stimulate the immune system to produce immune response to specific pathogen.

Vaccine: Substance that contains weakened or inactive pathogens, or parts of pathogens, that stimulate the immune system to produce immune response to specific pathogen.

Antibiotics: Medications that inhibit or kill bacteria.

Allergy: Immune response to a harmless substance that is perceived as a threat by the body.

Histamine: Chemical released by the body in response to injury or infection that causes inflammation and other immune responses.

Carcinogen: Substance capable of causing cancer.

Tumor: Abnormal growth of cells that may be benign (non-cancerous) or malignant (cancerous).

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The amount of heat required to heat 59 g of lead from 32.5°C to 57.0°C is approximately 812.27 joules.

To calculate the heat energy required, we can use the formula Q = mcΔT, where Q represents the heat energy, m is the mass of the substance, c is the specific heat capacity, and ΔT is the change in temperature.

In this case, we have the mass of lead (59 g) and the temperature change (57.0°C - 32.5°C = 24.5°C). The specific heat capacity of lead is approximately 0.13 J/g°C.

Plugging in these values into the equation, we can calculate the heat energy:

Q = (59 g) × (0.13 J/g°C) × (24.5°C)

By performing the calculation, we find that the amount of heat required is approximately 812.27 joules.

It's important to use proper standard units in scientific calculations to ensure accurate results and consistent communication of scientific information.

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The activity of the sample after 5 hours is 2.5 * 10^9 dps or 2.5 * 10^9 Bq

The activity of a radioactive sample refers to the rate at which its nuclei decay, and it is typically measured in units of disintegrations per second (dps) or becquerels (Bq).

To determine the activity of the sample after 5 hours, we need to consider the concept of half-life. The half-life of a radioactive substance is the time it takes for half of the nuclei in a sample to decay.

Given that the half-life of the nuclei in the sample is 2.5 hours, we can calculate the number of half-lives that occur within the 5-hour period.

Number of half-lives = (Time elapsed) / (Half-life)

Number of half-lives = 5 hours / 2.5 hours = 2

This means that within the 5-hour period, two half-lives have occurred.

Since each half-life reduces the number of nuclei by half, after one half-life, the number of nuclei remaining is (1/2) * (10^10) = 5 * 10^9 nuclei.

After two half-lives, the number of nuclei remaining is (1/2) * (5 * 10^9) = 2.5 * 10^9 nuclei.

The activity of the sample is directly proportional to the number of remaining nuclei.

Therefore, After 5 hours, the sample has an activity of 2.5 * 109 dps or 2.5 * 109 Bq.

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When you observe a Ferris wheel rotating clockwise, the direction of the angular momentum of a cabin on the wheel is outwards from the center of the wheel and perpendicular to the plane of rotation.

In this scenario, the right-hand rule states that if you curl the fingers of your right hand in the direction of rotation (clockwise in this case), your thumb will point in the direction of the angular momentum. So, as the Ferris wheel rotates clockwise, the angular momentum of a cabin on the wheel will point in the direction of your thumb when you apply the right-hand rule. In this case, the angular momentum of the cabin will be directed outwards from the center of the wheel, or in other words, it will have a direction perpendicular to the plane of rotation.

In summary, for a Ferris wheel rotating clockwise, the direction of the angular momentum of a cabin on the wheel is outwards from the center of the wheel and perpendicular to the plane of rotation. This direction can be determined using the right-hand rule.

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Answer:

The speed of the train when the tail buffers pass the lamp post is 9 m/s

Explanation:

The given parameters are;

The length of the train = 90 m

The initial velocity of the train, u = 0

The average acceleration of the train, a = 0.45 m/s²

When the tail buffer pass the lamp post, P, we have;

The distance travelled, s = The length of the train = 90 m

The kinematic equation of motion is given as follows;

v² = u² + 2·a·s

Where;

v = The speed of the train when the tail buffers pass the lamp post

∴ v² = 0² + 2 × 0.45 m/s² × 90 m = 81 m²/s²

Therefore;

v = √(81 m²/s²) = 9 m/s

The speed of the train when the tail buffers pass the lamp post, v = 9 m/s.

Answer:

27 J

Explanation:

Answer:

the density is 2

Explanation:

mass divided by volume is density

16 divided by 8 is 2

Answer:

Yes

Explanation:

An atom is made up of itself. Yes this is crazy but true. So far we have found the universe is everlasting, and the universe is part of itself meaning there nothing outside, except heaven and hell

Answer:

reduce, reuse, and recycle paper,plastic, electricity, glass, fiber

Among the options given, "Forestry" is not considered one of the three most anthropogenic sources of greenhouse gas emissions. The correct answer is C. Forestry.

Greenhouse gas emissions refer to the release of gases into the atmosphere that contribute to the greenhouse effect and global warming. While all of the options mentioned - Industry, Transportation, and Energy - are major anthropogenic sources of greenhouse gas emissions, "Forestry" is not typically included among them.

The three primary sources of greenhouse gas emissions are generally recognized as Industry, Transportation, and Energy.

1. Industry: Industrial activities, such as manufacturing, construction, and chemical production, can release significant amounts of greenhouse gases into the atmosphere. These emissions are often associated with the burning of fossil fuels for energy, as well as industrial processes that produce emissions as byproducts.

2. Transportation: The transportation sector, including cars, trucks, airplanes, ships, and trains, is a significant contributor to greenhouse gas emissions. The combustion of fossil fuels in vehicles releases carbon dioxide (CO2) and other greenhouse gases into the atmosphere.

3. Energy: The energy sector, particularly the burning of fossil fuels for electricity generation, is a major source of greenhouse gas emissions. Power plants that rely on coal, oil, and natural gas release CO2 and other greenhouse gases when these fuels are burned.

While forestry can have an impact on the carbon cycle and the sequestration of carbon dioxide through deforestation and forest degradation, it is not typically included among the three most anthropogenic sources of greenhouse gas emissions.

However, it is important to note that land-use changes associated with deforestation can contribute to greenhouse gas emissions indirectly.

In conclusion, among the options provided, "Forestry" is not considered one of the three most anthropogenic sources of greenhouse gas emissions. The primary sources are Industry, Transportation, and Energy.

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❄ Hi there.

a pencil is composed mostly of wood.

Let's check if the other choices are right.

A. Sweaters are not made of wood

B. Tiles are not made of wood

C. Pencils are made of wood

D. Bricks are not made of wood

∴ the right choice is C.

❄

The given distance between two slits in a double-slit interference experiment is `d = 0.0050 mm`.  The angle of the third-order bright fringe (m = 3) is `0.068 radians

What is Double-slit interference?

In order to solve the problem of the angle of the third-order bright fringe (m = 3), we can use the formula:

`d sin θ = mλ`

where,

`d` is the distance between the two slits in the double-slit,

`θ` is the angle of the bright fringe,

`m` is the order of the bright fringe,

`λ` is the wavelength of the light used

We can rearrange the formula as:

`sin θ = mλ/d`

Rearranging the formula in terms of `θ`, we get:

`θ = sin⁻¹ (mλ/d)`

We know that,  `d = 0.0050 mm` and `m = 3`.

We need to find the `θ`.

Let's assume that we are using light of wavelength, `λ = 550 nm`.

Therefore, we have:

`θ = sin⁻¹ (mλ/d)``

θ = sin⁻¹ (3 x 550 nm / 0.0050 mm)``

θ = sin⁻¹ (3 x 550 x 10⁻⁹ m / 5.0 x 10⁻⁶ m)``

θ = 0.068 radians`

Therefore, the angle of the third-order bright fringe (m = 3) is `0.068 radians.

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A bat will take  3.03 s to detect a predator approaching at a distance of 1000m away

The formula and procedure we will use to solve this exercise is:

t = x/v

Where:

Information about the problem:

Applying the time formula from the uniformly rectilinear motion (URM), we have:

t = x/v

t = 1000 m / 330 m/s

t = 3.03 s

It is a physical quantity that indicates the displacement of a mobile per unit of time, it is expressed in units of distance per time, for example (miles/h, km/h).

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Answer:

what are the options??? to choose the answer from?

Explanation:

Answer:

so its 0.098*C

Explanation:

Let m gram be the mass of water.

Then potential energy of water is:

P.E.=mgh

=m×980×8400

Since potential energy is converted to kinetic energy

P.E.=K.E.

K.E.=m×980×8400

Half of kinetic energy is converted into heat.

Then  heat energy:

Heat energy=

2

1

​

×m×980×8400

Convert joule into calories

heat=

4.2×10

7

m×980×4200

​

=m×0.098

But heat is:

Heat=msΔT

∴msΔT=m×0.098

m×1×ΔT=m×0.098

ΔT=0.098C

Rise in temperature of water is =0.098

∘

C .

Answer:

The acceleration of the sled is 1.584 m/s².

Explanation:

Friction always occur when two surfaces slide across one another. For example, if we push an object and it starts moving, we can say there's a kinect (dynamic) friction force between that object and the surface under.

Now, let's solve the problem.

First, we've got to write the data down.

\(\bullet \quad m=300\,kg\\\\\bullet \quad F=828\,N\\\\\bullet \quad \mu_k=0.120\)

Sketch a picture of the problem and point all forces acting on the sled (see attached).

Apply Newton's Second Law Of Motion:

\(F_{net}=m\cdot a\)

Let's set our reference system positive to the right. Above equation becomes:

\(F-f_k=m\cdot a\)

where \(f_k\) is the kinect friction force.

Looking up free body diagram, we can see support force equals the weight of the sled, so that we can write:

\(F-\mu_k\cdot m \cdot g=m \cdot a\)

Solving for a:

\(a=\dfrac{F-\mu_k \cdot m \cdot g}{m}\)

Let's take 9.8 m/s² for the acceleration of gravity and plug the data on the equation.

\(a=\dfrac{828-(0.120)\cdot 300\cdot(9.8)}{300}\)

\(\therefore \boxed{a=1.584\,m/s^2}\)

Conclusion: the acceleration of the sled is 1.584 m/s².

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Technician B is correct because a refractometer is used to measure the specific gravity or concentration of a liquid, while a coolant leak from the water pump weep hole is not normal and indicates a problem with the cooling system.

Technician A is not correct, as coolant leaking out of the water pump weep hole is not normal and indicates a problem with the water pump.

Technician B is correct, as a refractometer is a device used to measure the specific gravity of a liquid by measuring the bending of light as it passes through the liquid. This is a commonly used tool in the automotive industry for measuring the concentration of antifreeze in coolant. Therefore, technician B is correct.

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Answer:

NaOH

Explanation:

Answer:

1.96m/s^2

Explanation:

According to Newtons second law;

F = ma

a = F/m

a = nR/m

a = nmg/m

a = ng

n is he coefficient of friction = 0.2

g  = 9.8m/s^2

a = 0.2 * 9.8

a = 1.96m/s^2

Hence the acceleration of the box is 1.96m/s^2