1. Calculate the momentum of each car before the collision: SHOW YOUR WORK!

Pred p = mxv> (1 kg) x (+5) = +5 kg m/s

Pblue: P = mxv

(1 kg) x (0) = 0 kg m/s

Without oxygen, there would not any fire and the combustion process in our vehicles would stop. Every mode of transport except electric would fail instantly. Planes flying high in the sky would fall on earth and millions of cars running on petrol and diesel would stop on the roads.

Answer:

Nepal is one of the least developed countries. Solar power is well-founded than electricity. It's better to use solar power because it's a clean resource, the sun provides more energy than we will ever need.

Explanation:

The mass of the electrons associated with the neutral atoms must also be taken into account.

Part A

21284Po → 20880Pb + 4He

Part B

E = 13.9 MeV

Part C

23994Pu → 23592U + 4He

Part D

E = 16.2 MeV

For Part A and C, the nuclear equations of the decay process are determined by subtracting the mass number of the products from the mass number of the reactants. The mass number of the reactants is the sum of the mass number of the parent nucleus and 4 for the alpha particle.

For Part B and D, the energy released in the reaction is determined by subtracting the mass of the products from the mass of the reactants and converting to energy using the equation E = mc2. The masses of the reactants and products are found using the atomic masses listed in the periodic table. The mass of the electrons associated with the neutral atoms must also be taken into account.

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Where a tap supplies water at 26°c while another supply at 82°c. If a man wishes to bath with water at 40°c, then the ratio of the mass of hot water to that of cold water is: 1/3.

The ratio of the mass of hot water to that of Cold water is determined as follows:

M₁C (82  40) = M₂C (40-26)

Where M₁C is the Mass of Tap 1; and

M₂C is the Mass of Tap 2.

Thus,

M₁C (82  40) = M₂C (40-26)

M₁/M₂ = 14/42

= 1/3

Thus, it is right to state that the ratio of the mass of hot water to that of cold water is: 1/3.

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Answer:

C. Volume

Explanation:

it displaces an equal amount of water to the amount of space it occupies.

Answer: i don't know

Explanation: still

The magnitude of the displacement of the object after it travelled for seven seconds is 28 m (Option A).

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

Velocity = displacement / time

How to determine the displacement from the velocity - time graph;

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

Time = 7 s

Velocity = 4 m/s

Displacement =?

Velocity = displacement / time

4 = displacement / 7

Cross multiply

Displacement = 4 × 7

Displacement = 28 m

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3. An electronics company is manufacturing circuit boards.They want to use minimum wire to connect the pins in a way that there are exactly two connected components of any size.

The wire needed to connect each pair of pins is given by the distance between them. How should they arrange the pins to minimize the total length of wire needed?

To minimize the total length of wire needed, the electronics company can use a specific arrangement of pins known as a "Minimum Spanning Tree" (MST). A Minimum Spanning Tree is a connected subgraph of the original circuit board graph that includes all the pins while minimizing the total length of the edges (wires) used.

The company can follow these steps to determine the optimal pin arrangement:

1. Create a graph representation of the circuit board, where each pin is represented by a vertex and the distance between two pins is represented by the weight of the edge connecting them.2. Apply a suitable algorithm for finding the Minimum Spanning Tree of the graph, such as Kruskal's algorithm or Prim's algorithm.

3. The resulting Minimum Spanning Tree will provide the arrangement of pins that minimizes the total length of wire needed while ensuring that there are exactly two connected components of any size.

By using this approach, the electronics company can achieve an efficient and optimized wiring configuration for their circuit boards.

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Answer:

94

Explanation :

Of these 118 elements, 94 occur naturally on Earth. Six of these occur in extreme trace quantities: technetium, atomic number 43; promethium, number 61; astatine, number 85; francium, number 87; neptunium, number 93; and plutonium, number 94.

source: Wikipedia

Answer:

I'm not quite sure what your looking for...

Even though a bowling ball may experience 100 times the force of a tennis ball, it has 100 times the mass. So, the force/mass ratio (from the equation acceleration = force/mass) is the same for each. Therefore, the acceleration is the same and they reach the ground at the same time. Aim of the experiment To investigate the relationship between the force, mass and acceleration by varying the masses added to trolleys.

Explanation:

The work that would have been done if a lever would have been used with an effort arm of 12 meters and a load arm of 6 meters is 50 J.

option A is the correct answer.

A lever is a simple machine that makes work easier and faster. When a lever is used, a small effort will be used to overcome a large load.

The efficiency of a machine increases when the output force is greater than the input force.

Mathematically, the formula for the efficiency of a machine is given as;

Eff = ( output force / input force ) x 100 %

The output force is given by the following formula;

F ( out ) = load x distance moved by load

The input force is given by the following formula;

F ( input ) = effort x distance moved by effort

The work that would have been done if a lever would have been used with an effort arm of 12 meters and a load arm of 6 meters is calculated as;

work = ( 600   x 6  ) / ( 12  x 6  )

work = 50 J

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Answer:

600 J

Explanation:

The work is not equal to the initial work divided by the effort arm.

Answer:

true

Explanation:

as long as it is the right conductive material

(a) The magnetic force experienced by the wire when it perpendicular is 0.01 N.

(b) The magnetic force experienced by the wire when the angle is  30⁰ is 5 x 10⁻³ N.

(c) The magnetic force experienced by the wire when it parallel is 0 N.

The magnetic force experienced by the wire is calculated by applying the following;

F = BIL x sin(θ)

where;

When the angle of inclination is perpendicular,  

F = 1 x 10⁻² x 10 x 0.1 x sin(90)

F = 0.01 N

When the angle of inclination is 30⁰,

F = BIL x sin(θ)

F = 1 x 10⁻² x 10 x 0.1 x sin(30)

F = 5 x 10⁻³ N

When the wire is parallel, the angle is 0⁰,

F = BIL x sin(θ)

F = 1 x 10⁻² x 10 x 0.1 x sin(0)

F = 0 N

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According to the Bohr model, the magnetic field at the center of a hydrogen atom due to the motion of the electron is approximately 2.02 x 10^(-5) T.

In the Bohr model of the atom, the electron moves in a circular orbit around the nucleus. The current associated with the motion of the electron in the circular orbit generates a magnetic field.

To find the magnetic field at the center of a hydrogen atom due to the electron's motion, we can use Ampere's law.

Ampere's law states that the magnetic field (B) at a point is proportional to the current (I) enclosed by a closed loop around that point:

B = (μ₀ * I) / (2π * r)

Where μ₀ is the permeability of free space, I is the current, and r is the radius of the circular loop.

In this case, the current is the electron's charge (e) multiplied by its velocity (v):

I = e * v

The radius of the circular orbit is given as 5.3 x 10^(-11) m.

Substituting these values into the equation, we have:

B = (μ₀ * e * v) / (2π * r)

Now, we can plug in the values:

μ₀ = 4π x 10^(-7) Tm/A (permeability of free space)

e = 1.6 x 10^(-19) C (charge of an electron)

v = 2.28 x 10^6 m/s (velocity of the electron)

r = 5.3 x 10^(-11) m (radius of the circular orbit)

B = (4π x 10^(-7) Tm/A * 1.6 x 10^(-19) C * 2.28 x 10^6 m/s) / (2π * 5.3 x 10^(-11) m)

Simplifying the expression, we find:

B ≈ 2.02 x 10^(-5) T (tesla)

Therefore, according to the Bohr model, the magnetic field at the center of a hydrogen atom due to the motion of the electron is approximately 2.02 x 10^(-5) T.

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Answer:

Explanation:

The baseball will fall with an acceleration of 9.8 m /s²

v² = u² + 2 x a x s

v is final velocity , u is initial velocity , s is height that was travelled by baseball

= 0 + 2 x 9.8 x 240

= 4704

v = 68.58 m /s

You would need to cycle 1 hour 50 minute  to work for 200 g chips.

Energy is measured in calories. Calories in nutrition relate to the energy that humans obtain from the food and liquids they consume as well as the energy they expend when engaging in physical activity.

On every food package, the nutritional information includes a list of calories.

200 grams of potato chips have 1074 calories.

Calorie burn on 30 minute Cycling is   298 calories.

So, to burn 1074 calories, you have to cycle = (1074 ÷ 293) × 30 minute

= 110 minute

= 1 hour 50 minute.

Hence,  you would need to cycle 1 hour 50 minute  to work for 200 g chips.

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Answer:

I believe the answer is B.

Explanation:

Newton's First Law of Gravity states, "The greater the weight (or mass) of an object, the more inertia it has. Heavy objects are harder to move than light ones because they have more inertia. "

The answer is D.

All objects travel at the same speed due to gravity.

I hope I helped! Sorry if my inference was incorrect.

The correct answer is option B. Gravitational energy and E. Chemical energy.

Gravitational energy or gravitational potential energy is the potential energy a massive object has in relation to any other big object because of gravity. It is the potential energy related to the gravitational field, this is released (transformed into kinetic energy) when the objects fall in the direction of each other.

Chemical energy is energy stored inside the bonds of atoms and molecules. Batteries, biomass, petroleum, natural gas, and coal are some examples of chemical energy. Chemical energy is converted to thermal strength while human beings burn timber in a fire or burn fuel in a vehicle's engine.

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A perfect machine is not possible because perfect machines mean that the system will always perform at a 100% efficiency, and that's not possible in real life because the systems of the real world will always lose some energy in the form of heat, resulting in a lower efficiency percentage.

Answer:

greenhouse gas is a gas that absorbs and emits radiant energy within the thermal infrared range

Explanation:

Animals and plants need to get rid of carbon dioxide gas through a process called respiration. Carbon moves from fossil fuels to the atmosphere when fuels are burned.

Answer and explanation:

Greenhouse gases are carbon dioxide, water vapor, fluorinated gases, nitrous oxide, methane, and others. Carbon dioxide enters the atmosphere by respiration of plants, animals, and microbes. Plants also remove carbon dioxide during photosynthesis. The net result is that plants remove more carbon dioxide than they contribute. Microbes and fungi that decompose plants and animals also return the carbon to the atmosphere as carbon dioxide. These are all ways nature cycles carbon. Humans contribute carbon dioxide to the atmosphere when we burn wood, solid waste, and fossil fuels. When forests are burned to clear land, not only does the burning release carbon dioxide, but it eliminates trees that would otherwise be removing carbon dioxide by photosynthesis. Most of the human contribution is from burning fossil fuels in electrical power plants that burn coal or natural gas and in vehicles that run on petroleum products. Other industrial processes also contribute carbon dioxide to the atmosphere, but to a lesser extent.

Answer:

ball 4 has a positve charge

Explanation:

-Ball 2: is negative because it is repelled by ball one (like signs repel)

- ball 3: is also negative because it is repelled by ball one (like signs repel)

- Ball 4: is positive because it is attracted by ball 3 (opposite signes attract)

A graph that illustrates the thresholds for the frequencies as measured by the audiometer is known as an audiogram. The audiogram is a chart used by audiologists and hearing specialists to describe a patient's hearing thresholds.

Hearing thresholds are the levels at which people hear a tone or sound. The horizontal axis of the audiogram indicates the frequency of sound, which is measured in Hertz (Hz), while the vertical axis indicates the intensity of sound, which is measured in decibels (dB). The threshold is the lowest intensity level at which the patient can hear the sound. The audiogram aids in identifying hearing loss and its severity.

Audiogram: The audiogram is a graphical representation of a person's hearing thresholds for different frequencies. An audiogram is a graphical representation of a person's hearing ability. It is created by plotting the lowest intensity at which an individual hears different frequencies on a chart. The audiogram aids in determining the type and degree of hearing loss. The degree of hearing loss can be classified as normal, mild, moderate, severe, or profound, based on the hearing thresholds. The shape of the audiogram may also provide insight into the type of hearing loss. An audiogram can be used to show a patient's hearing loss and to help audiologists recommend the best hearing aid or other hearing assistive technology.

An audiogram is a graph that shows the thresholds for different frequencies of sound as measured by an audiometer. An audiogram is used to assess a person's hearing levels and determine the type and degree of hearing loss. It is a tool used by audiologists and other hearing specialists to diagnose and treat hearing problems.The audiogram is typically created by playing a series of tones or beeps through headphones or earbuds at different frequencies and intensities.

The person undergoing the test indicates when they can hear the sound, and the audiologist records the results on the audiogram chart. The chart typically includes a grid with frequency ranges along the horizontal axis and decibel levels along the vertical axis. The results of the audiogram are plotted on the chart, with the lowest level at which the person can hear a sound for each frequency tested.Audiograms can be used to detect hearing loss and to determine the type and severity of hearing loss. A hearing loss can be categorized as conductive, sensorineural, or mixed, based on the audiogram results.

Conductive hearing loss is caused by damage to the outer or middle ear, while sensorineural hearing loss is caused by damage to the inner ear or auditory nerve. Mixed hearing loss is a combination of both conductive and sensorineural hearing loss.The information gathered from the audiogram can be used to recommend hearing aids or other hearing assistive technology. It can also be used to monitor changes in a person's hearing over time and to adjust treatment plans as needed.

An audiogram is a valuable tool for assessing and managing hearing loss. It provides a comprehensive assessment of a person's hearing ability and can help identify the best course of treatment.

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The magnitude of the radial force on the mass can be calculated using the formula:

Fr = mrω²

Where Fr is the magnitude of the radial force, m is the mass, r is the radius of the circular path, and ω is the angular speed.

In this case, we know that the mass is 4.00 kg and the angular speed is 5.00 rad/sec. To find the radius of the circular path, we can use the formula for linear speed:

v = ωr

Where v is the linear speed and r is the radius.

We know that the linear speed is 5.00 m/sec and the angular speed is 5.00 rad/sec, so we can plug these values in and solve for r:

5.00 m/sec = 5.00 rad/sec x r

r = 1.00 m

Now we can plug in the values for m, ω, and r into the formula for the magnitude of the radial force:

Fr = (4.00 kg) x (5.00 rad/sec)² x (1.00 m)

Fr = 100 N

Therefore, the magnitude of the radial force on the mass is 100 N.

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A ball is thrown upwards and caught when it comes back down. In the presence of air resistance, the speed with which it is caught is C. less than the speed it had when thrown upwards.

When a ball is thrown upwards, it gains kinetic energy due to the force exerted by the thrower. Then, as it ascends, it loses kinetic energy and gains potential energy as it moves higher up. Finally, the ball comes to a stop, its kinetic energy becoming zero, and its potential energy reaches its maximum value. At the top, the ball begins to fall back to the ground.The air resistance opposes the motion of the ball, slowing it down as it travels upwards.

When the ball starts coming back down, the air resistance exerts an additional force, which slows down the ball and reduces its speed. As a result, the speed with which it is caught is less than the speed it had when thrown upwards. Hence, option (C) is correct.

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The probability of the pump delivering a volume that is more than the measured volume by 1.0 percent can be determined using the data for the flowmeter. The flowmeter measures the volume of fluid that passes through it and can be used to determine the probability of the pump delivering a certain volume of fluid.

To determine the probability of the pump delivering a volume that is more than the measured volume by 1.0 percent, we need to calculate the difference between the measured volume and the actual volume delivered by the pump. This difference can be calculated by multiplying the measured volume by 1.0 percent, or 0.01.
Once we have the difference between the measured volume and the actual volume, we can use the data for the flowmeter to determine the probability of the pump delivering this excess volume. The flowmeter data will give us the probability of the pump delivering a certain volume of fluid, and we can use this information to determine the probability of the pump delivering the excess volume.
Therefore, the probability of the pump delivering a volume that is more than the measured volume by 1.0 percent can be determined using the data for the flowmeter and the difference between the measured volume and the actual volume delivered by the pump.

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Answer:

The length of the incline is 3.504 meters.

Explanation:

Let suppose that Julietta's ball decelerates uniformly, then we determine the length of the incline is determined by the following equation of motion:

\(\Delta s = v_{o}\cdot t +\frac{1}{2}\cdot a \cdot t^{2}\) (Eq. 1)

Where:

\(\Delta s\) - Length of the incline, measured in meters.

\(v_{o}\) - Initial speed of the ball, measured in meters per second.

\(a\) - Aceleration of the ball, measured in meters per square second.

\(t\) - Time, measured in second.

If we know that \(v_{o} = 2.95\,\frac{m}{s}\), \(t = 1.54\,s\) and \(a = -0.876\,\frac{m}{s^{2}}\), then the length of the incline is:

\(\Delta s = \left(2.95\,\frac{m}{s} \right)\cdot (1.54\,s)+\frac{1}{2}\cdot \left(-0.876\,\frac{m}{s^{2}} \right) \cdot (1.54\,s)^{2}\)

\(\Delta s = 3.504\,m\)

The length of the incline is 3.504 meters.

The force of gravity on a 1-kg mass at earths surface is 9.77 N

The formula for the force of gravity is:

F = G Mm/r²

Where, in this case

G = constant of gravity = 6.674 x 10⁻¹¹ N.m²/kg²
M = mass of earth = 6 x 10²⁴ kg

r = radius of earth = 6.4 x 10⁶ m

m = mass of object = 1 kg

Plug these parameters into the formula:

F = 6.674 x 10⁻¹¹ x  6 x 10²⁴  x 1 / ( 6.4 x 10⁶)²

  = 40 x 10¹³ / (40.96 x 10¹²

  = 9.77 N

Hence, the force of the gravity, or the weight, of a 1-kg mass is  9.77 N

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a) Speed on the second floor is equal to 3.90 m/s

b) Water pressure on the second floor is 240000 Pa.

In fluid dynamics, Bernoulli's principle can be described as an increase in the speed of fluid occurring simultaneously with a decrease in static pressure or the fluid's potential energy.

The constant can be normalized in the Bernoulli equation. A common approach is total head or energy head H:

\({\displaystyle H=z+{\frac {p}{\rho g}}+{\frac {v^{2}}{2g}}=h+{\frac {v^{2}}{2g}},}\)

a) speed on the second floor can be calculated as:

\(Q_1=Q_2\)

\(A_1V_1=A_2V_2\)

\(\displaystyle \frac{\pi }{4}(d_1^2) \times V_1 = \frac{\pi }{4}(d_2^2) \times V_2\)

\((2.5)^2\times 0.90 =(1.2)^2\times V_2\)

V₂= 3.90 m/s

b) water pressure on the second floor can be calculated as:

\({\displaystyle {\frac {P_1}{\rho g}}+{\frac {V_1^{2}}{2g}}+h_1 = {\frac {P_2}{\rho g} +{\frac {V_2^{2}}{2g}}} +h_2\)

\({\displaystyle {\frac {170\times 1000}{9.80\times 1000}}+{\frac {(0.90)^{2}}{2\times 9.80}}+7.6 = {\frac {P_2}{\rho g} +{\frac {(3.90)^{2}}{2\times 9.80}}}\)      here  \(h_1-h_2 = 7.6\)

\({\displaystyle {\frac {P_2}{\rho g} = 24.215\)

P₂ = 240000 Pa

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