A bullet is fired vertically upward and returns to the ground in 20 s.

What was the bullet's initial velocity

Answer:

Explanation:

The speed of the second car after the collision can be found using the law of conservation of momentum. The law states that the total momentum of a system remains constant if no external forces act on it.The initial momentum of the first car is (15g)(22 cm/s) = 330 g cm/s to the right.

The initial momentum of the second car is (22g)(-31 cm/s) = -682 g cm/s to the left.

The total initial momentum of the system is 330 g cm/s - 682 g cm/s = -352 g cm/sAfter the collision, the final momentum of the first car is (15g)(-42 cm/s) = -630 g cm/s to the left.

The final momentum of the second car is (m)(v) where m is the mass of the second car and v is the speed after the collision.

The total final momentum of the system is -630 g cm/s + (m)(v) = -352 g cm/s (since it remains constant)Therefore, m*v = -630 g cm/s + 352 g cm/s = -278 g cm/sTo find v, we need to divide the momentum by the mass

v = -278 g cm/s / 22 g = -12.6 cm/sSo the speed of the second car after the collision is -12.6 cm/s to the left.

using the second neutons law

600=mx1

=600kg

If people want to help their community, they should research opportunities corrects the pronoun errors in this sentence.

This is defined as a word which is used instead of a noun and examples include he, she etc.

In this scenario, the word 'people' agrees with the possessive adjective 'their' and the personal pronoun 'they', which is referred to the third-person plural hence the reason why option C is the most appropriate choice.

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Answer:

D

Explanation:

D

Answer:

Velocity is the rate at which the position changes. The average velocity is the displacement or position change (a vector quantity) per time ratio.

Hope this helps! ^-^

Answer:

Velocity is the speed at which something moves in one direction.

Explanation:

Hope this helps : )!!

Answer:

220 km/hr

Explanation:

Energy is dissipated as heat from the lamp is

400 kw

It is given that

power of lamp = 100 kw

efficiency = 20%

time = 5 hour

We have to find the energy of lamp

Efficiency is the measure of how completely work input is connected to work output.

Efficiency = work(out)/work(in) * 100%

Efficiency of visible light = 20%

Energy converted to heat = 80%

Energy = Power * time

Energy = 100 kw x 80% x 5 = 400 kw

Hence, Energy dissipated as heat is 400 kw

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Protons, neutrons, and electrons are the three main subatomic particles that make up atoms.

An oxygen atom has 8 protons, 8 electrons, and its number of neutrons may vary depending on the isotope of oxygen. The more frequently encountered isotope of oxygen is oxygen-16, with 8 neutrons.

The element with 13 protons is aluminum (Al). To find the mass number, we add the number of protons and neutrons in the nucleus. Therefore, the mass number of this aluminum isotope would be 13 + 14 = 27.

If an atom has 7 electrons, it must be nitrogen (N), which has an atomic number of 7.

Number of neutrons = Mass number - Atomic number

Thus, we obtain the number of neutrons by the equation: 14 - 7 = 7

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The amount of charge that will pass through the cross-sectional area of the conductor in 1 min is 192 C.

We can use the formula Q = I * t,

where;

Given that a charge of 6.4 C passes through a cross-sectional area of the conductor in 2 s, we can find the current using the formula:

I = Q / t = 6.4 C / 2 s = 3.2 A

So, the current through the conductor is 3.2 A.

To find the amount of charge that will pass through the cross-sectional area of the conductor in 1 min (60 s), we can use the same formula:

Q = I * t = 3.2 A * 60 s = 192 C

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Answer:

1. A

2. B

3. B

4. A

5. B

6. C

7. D

8. C

9. C

10. C

Materials through which electricity pass easily are called conductors and material which do not transmit electricity and heat are insulators. Insulators doesn't allow the flow of electrons through it.

Based on the conductivity of a material, there are three types of materials, namely conductors, semi-conductors and insulators. Conductors are conducting electricity and heat at room temperature.  Semi conductors only conduct at higher temperatures or on doping.

The materials which does not conduct electricity and heat are called insulators. Hence,  option b is correct. They will never allow the flow of electrons through them and thus why considered as insulators.

Whereas, conductors allow free electrons to flow through them easily. Among the groups , the group of good conductors are Iron, copper, silver, gold.

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Answer:

Explanation:

individual and then net

hope that helps I could be wrong about this one though

Answer:

f = 1 Hz

Explanation:

From the attached figure, we find that the time period of the wave is 1 second.

It is a longitudinal wave. It travel in the form of compression and rarefaction. The relation between time period T and frequency f is given by :

\(f=\dfrac{1}{T}\\\\\text{As T = 1 s}\\\\f=1\ s^{-1}\\\\=1\ Hz\)

Hence, the frequency of this wave is 1 Hz.

This question is incomplete, the complete question is;

A crude oil storage tank initially contains 1000 m³ of crude oil. Oil is pumped into the tank through a pipe at a rate of 2 m³/min and out of the tank at a velocity of 1.5 m/s through another pipe having a diameter of 0.15m. The crude oil has a specific volume of 0.0015 m³/kg .

Determine : a) The mass of oil in the tank, in kg, after 24 hours b) The volume of oil in the tank, in m³, at that time ( after 24hrs )  

Answer:

a) The mass of oil in the tank after 24hrs is 1059852.6667 kg  

b) The volume of oil in the tank, in m³, at that time is 1589.779 m³

Explanation:

Given that;

volume of tank v = 1000 m³

Discharge  (AV)₁ = 2 m³/min

specific volume (v) = 0.0015 m³/kg

a)

for one inlet, one exit control volume, we have]

d(mc\(_v\))/dt = "m\(_i\) - "m\(_e\)

"m\(_i\)  = (AV)₁  / v

"m\(_i\)  = 2 / 0.0015

"m\(_i\) = 1333.33 kg/min = ( 1333.33 kg/min × 60 ) = 80,000 kg/hr

"m\(_e\) =  AV₂/v

AREA A = πr² = π(0.15m/2)²

so

"m\(_e\) =  ( π(0.15m/2)² × 1.5 m/s ) / 0.0015m³/kg

"m\(_e\) = 17.6714 kg/s = (17.6714 kg/s × 60 × 60 ) = 63,617.25 kg/hr

 d(m\(_{cv}\))/dt = 80000 - 63,617.25 =  16382.75 kg/hr

now after 24 hours, the mass of the crude oil tank is;

mc\(_v\)( 24 ) = ( 16382.75 × 24 ) + mass initially contained

so initial mass m\(_i\) = volume / specific volume

initial mass m\(_i\) = V / v = 1000 / 0.0015 = 666,666.6667 kg

Total mass = m\(_i\) + mc\(_v\)

Total mass = 666,666.6667 kg + (16382.75 × 24)  

Total mass = 1059852.6667 kg  

Therefore, The mass of oil in the tank after 24hrs is 1059852.6667 kg  

b)

Volume will be;

V = total mass × density

V = 1059852.6667 kg  × 0.0015 m³/kg

V = 1589.779 m³

Therefore, The volume of oil in the tank, in m³, at that time is 1589.779 m³

Answer:

C) The book's inertia carried it forward.

When the bus stops suddenly, the book tends to remain in motion due to its inertia. The book was at rest on the seat of the bus, and when the bus stopped suddenly, the book continued moving forward with the same speed and direction it had before the bus stopped. As a result, the book slid off the seat and onto the floor.

Answer:

here

Explanation:

Equilibrium is a state of a system which does not change. ... An equilibrium is considered stable (for simplicity we will consider asymptotic stability only) if the system always returns to it after small disturbances. If the system moves away from the equilibrium after small disturbances, then the equilibrium is unstable.

The student can conclude that in Experiment 1, the ball is following a parabolic path, demonstrated by the best-fit curve line. In Experiment 2, the ball is following a linear path, demonstrated by the best-fit curve line.

What is curve?
A curve is a line in a two-dimensional plane that is bent or curved. It is often used to describe the shape of objects or mathematical functions. It is often used to study changes in data over time and to understand the behavior of functions and equations. Curves can be described using a variety of mathematical equations and equations can be used to predict the behavior of a curve. Additionally, curves can be used to describe the motion of physical objects and to help visualize the relationships between the objects.

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Energy flows from the Sun to producers, then to primary consumers, secondary consumers, and potentially to tertiary consumers, forming a pyramid-shaped structure that represents the transfer of energy through different trophic levels in an ecosystem.

Energy flows in a specific order through various components of an ecosystem, starting with the Sun and progressing through producers and consumers. This flow of energy is known as the energy pyramid or trophic levels.

At the base of the energy pyramid is the Sun, which is the ultimate source of energy for most ecosystems on Earth. Sunlight provides the energy needed for photosynthesis, a process carried out by plants, algae, and some bacteria, collectively known as producers. These organisms convert solar energy into chemical energy through photosynthesis, using carbon dioxide and water to produce glucose and oxygen. This process captures and stores energy in the form of organic compounds.

The next level in the energy pyramid consists of primary consumers, also known as herbivores. These are animals that feed directly on producers, such as grazing animals or insects that consume plants. Herbivores obtain energy by consuming plant material and breaking down the organic compounds present in the plants into simpler forms, such as sugars and amino acids, through digestion.

Above the primary consumers are the secondary consumers, which are carnivores or omnivores that feed on herbivores. They obtain energy by consuming primary consumers and breaking down the organic compounds in their prey through digestion. This energy transfer continues up the trophic levels, with each level consuming the one below it.

At the top of the energy pyramid are tertiary consumers, which are typically apex predators. They are carnivores that consume other carnivores. Tertiary consumers obtain energy by consuming secondary consumers and breaking down the organic compounds in their prey.

It's important to note that energy is not efficiently transferred between trophic levels. Only a fraction of the energy consumed at each level is converted into biomass and passed on to the next level. This inefficiency is due to processes such as respiration, heat loss, and incomplete digestion.

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Answer:

h = 0.0428 [m] = 42.81 [mm]

Explanation:

In order to solve this problem, we must divide it into two parts. In the first part we analyze the kinematics to find the initial speed with which the flea takes off from the ground. This initial speed can be found by the following expression:

\(v_{f}^{2} = v_{i}^{2} -(2*a*y)\\\)

where:

a = acceleration = 1000 [m/s^2]

y = distance = 0.42[mm] = 0.00042 [m]

vf = final velocity = 0

vi = initial velocity [m/s]

It is important to define that when the flea reaches the maximum height its final speed is zero, because its movement has ended. It should also be said that the negative sign of the equation demarcates that the gravitational acceleration is contrary to the movement of the flea.

0 = vi^2 - (2*1000*0.00042)

vi = 0.9165 [m/s]

In the second part of this problem the conservation of energy will be taken, that is, the kinetic energy will be transformed into potential energy, thus reaching the next equality.

\(m*g*h=\frac{1}{2} *m*v^{2} _{i}\)

where:

m = mass of the flea

g = gravitational acceleration [m/s^2]

h = elevation [m]

vi = initial velocity [m/s]

h = (0.5*(0.9165)^2)/9.81

h = 0.0428 [m] = 42.81 [mm]

Answer:

Explanation:

The force acting on an object given it's mass and acceleration can be found by using the formula

From the question we have

force = 8.5 × 9.8

We have the final answer as

Hope this helps you

Answer:

However, the disadvantages are:

1. Many atimes for some motion prolems, free-body diagrams has to be drawn many times so to have enough equations to solve for the unknowns. This is not the same with energy conservation principles.

2. In situations where we need to find the internal forces acting on an object, we can't truly solve such problems using free-body diagram as it captures external forces. This is not the same with energy conservation principles.

Explanation:

Often times the ideal method to use in solving motion problem related questions are mostly debated.

Energy conservation principles applies to isolated systems are useful when object changes their positions in moving upward or downward converts its potential energy due to gravity for kinetic energy, or the other way round. When energy in a system or motion remains constant that is energy is neither created nor destroyed, it can therefore be easier to calculate other unknown paramters like in the motion problem velocity, distance bearing it in mind that energy can only change from one type to another.

On the other hand, free body diagram which is a visual representation of all the forces acting on an object including their directions has so many advantages in solving motion related problems which include finding relationship between force and motion in identifying the force acting on a body.

Answer:1568 meters

Explanation:

we will make a speed time graph and we will calculate the speed by multiplying acceleration with time and we will have the speed then we will draw it on the speed time graph this will make a triangle and we will calculate its area and we will have the distance.

The stream's velocity is 1.75 metres per second, and the discharge is 16.8 cubic metres per second.

Discharge has units of feet3/sec or cubic ft per second if length and duration are measured in feet and seconds, respectively (cfs). The cross-sectional area is calculated as Depth times Width. Due to the velocity reduction caused by friction at the channel's edges, the channel's form is crucial.

The cross-sectional area of the stream must be multiplied by the stream velocity in order to determine discharge.

The cross-sectional area of the image is:

A = (8 m) x (1.2 m) = 9.6 m²

1.75 metres per second is listed as the stream velocity.

So the discharge Q is:

Q = A x V

= (9.6 m²) x (1.75 m/s)

= 16.8 m³/s.

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Answer:

t = 3.924 s

Explanation:

First, we will calculate the amount of work required to get the astronaut back to the capsule:

\(W = Fd\\\)

where,

W = work required = ?

F = Force = Weight = mg = (80 kg)(9.81\ m/s²) = 784.8 N

d = distance = 5 m

Therefore,

\(W = (784.8\ N)(5\ m)\\W = 3924 J\)

Now the time can be calculated as:

\(Power = \frac{W}{t}\\t = \frac{W}{Power}\\\\t = \frac{3924\ J}{1000\ W}\\\\\)

t = 3.924 s

Answer:

it depends on the wind and any other conditions but if you have a controlled environment it should take 1 second to get 40 meters but it could go higher in which it could take about 5 seconds to go 200 meters

Explanation:

hope it helped

:)

Answer: mass is neither created nor destroyed

Explanation: For example, the carbon atom in coal becomes carbon dioxide when it is burned. The carbon atom changes from a solid structure to a gas but its mass does not change.

The magnitude of the force acting at point O is determined as 240 N.

The magnitude of the force at point O is calculated by applying the principles of moment as shown below.

sum of the clockwise moment = sum of the anticlockwise moment

F₀(2 m + 2m + 2m) = 260 N (2m + 2 m ) +  200 N ( 2 m )

where;

6F₀ = 260 (4) + 200(2)

6F₀ = 1,440

F₀ = 1440 / 6

F₀ = 240 N

Thus, the magnitude of the force acting at point O is determined as 240 N.

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Answer: A.

just did it

Explanation:

Answer:

Explanation:

Wavelength = 100m. Speed = V. 2.) Frequency = 20 Hz. Wavelength = 200 m. Speed = ... 2=1.7m. F=Y/2 f=2×10. 5.) Wavelength = 502 km. Speed= 100 m/s.

Organelles are specialized structures within cells that perform specific functions, such as energy production, protein synthesis, and waste removal.

Some examples of organelles include mitochondria, which produce energy for the cell, and ribosomes, which are involved in protein synthesis.

The size of cells can vary widely depending on the organism and the type of cell. For example, human cells can range from 10 to 30 micrometers in diameter, while bacterial cells are typically much smaller, ranging from 1 to 5 micrometers in diameter.

In summary, organelles are specialized structures within cells that perform specific functions, and the size of cells can vary widely depending on the organism and the type of cell.

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