The cyclist travels to point A, pedaling until he reaches speed v_A = 8 m/s. He then coasts freely up the curved surface. Determine the normal force he exerts on the surface when he reaches point B. The total mass of the bike and man is M = 75 kg. Neglect friction, the mass of the wheels, and the size of the bicycle

Answer:

Explanation:

The kinetic energy of an object can be found by using the formula

\(k = \frac{1}{2} m {v}^{2} \\ \)

m is the mass

v is the velocity

From the question we have

\(k = \frac{1}{2} \times 9 \times {12}^{2} \\ = \frac{1}{2} \times 9 \times 144 \\ = 9 \times 72 \: \: \: \: \: \: \: \: \: \: \: \)

We have the final answer as

Hope this helps you

Astronomers call the vast, rotating cloud of vapor and dust from which the solar system formed as D) The Solar Nebula.

The Solar Nebula is the rotating cloud of gas and dust that is believed to have formed the Sun and the solar system approximately 4.6 billion years ago. This theory is supported by observations of other star-forming regions in our galaxy, which exhibit similar conditions and structures. As the Solar Nebula collapsed under its own gravity, it began to spin faster and flatten into a disk shape, with the Sun forming at the center and the planets forming from the material in the disk.

The Solar Nebula theory is currently the most widely accepted explanation for the formation of the solar system. It states that a rotating cloud of gas and dust collapsed under its own gravity, eventually forming the Sun and the planets.

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Answer:

False

Explanation:

A net force on an object causes acceleration or a change in direction....not 'neither'

It is false that if a net force acts on an object, the object may change speed, change direction or do neither. Details about motion can be found below.

Newton's first law of motion also called law of inertia states that an object will remain at rest until it is acted upon by an external force.

This law suggests that an object will change direction or speed when acted upon by a net force.

Therefore, it is false that if a net force acts on an object, the object may change speed, change direction or do neither.

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Answer:

The efficiency of the constuction is 9.0

Explanation:

Answer: The velocity of the bullet will be more than half of its earlier velocity

Explanation: I did it on a test and it was right because i calculated 30 degrees within 25 seconds and it was half times the velocity

i hope this helps sorry if i got it wrong

Answer:Solar system formed about 4.6 billion year ago, when gravity pulled together low-density cloud of interstellar gas and dust (called a nebula)(movie). The Orion Nebula, an interstellar cloud in which star systems and possibly planets are forming. Initially the cloud was about several light years across.

Explanation:

Answer:

respiratory

Explanation:

Answer:

acid rain corrodes a monument. d.

Explanation:it only makes sense because its doing something to a physical object.and the other ones aren't.

Answer:

Option C

Explanation:

Hydrocarbon + Oxygen = Carbon dioxide + Water

is example of combustion reaction

Answer:

Explanation:

Astronauts face a wide range of dangers when maneuvering in space. Collecting rock samples requires breaking apart rocks on the moon's surface, which requires tools. These tools are sometimes small hammers or other times special drills. All of this process means moving and using force to break these rocks apart and every single movement can cause a mistake which can lead to a piece of the suit ripping or a failure in the machinery. Since there is no oxygen on the moon the tiniest failure in the suit can lead to the death of the astronaut. Therefore, having backup safety precautions, and quick repair scenarios is a must when collecting rock samples on the moon.

(a) The period of a wheel can be found by dividing the time it takes for each revolution by the number of revolutions per period.

(b) The angular speed of the wheel in rad/s can be determined by dividing 2π (the full angle in radians) by the period.

(a) To find the period of the wheel, we divide the time it takes for each revolution (2.25 s) by the number of revolutions per period. Since the wheel completes one revolution per period, the period is equal to the time per revolution. Therefore, the period of the wheel is 2.25 s.

(b) The angular speed of the wheel can be calculated by dividing the full angle in radians (2π) by the period. Since the wheel completes one revolution per period, the angle traversed is 2π radians. Dividing 2π by the period of 2.25 s gives us the angular speed of the wheel in rad/s. Thus, the angular speed of the wheel is approximately 2.79 rad/s.

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Answer:

B

Explanation:

Electric potential is influenced by charge and distance.

The amount of effort required to shift a unit of electric charge from a reference point to a particular place in an electric field is known as the electric potential.

Any charge in an electric field has an electric potential that is determined by the type (positive or negative), quantity, and location of the charge inside the electric field.

The potential actually grows as you get farther away from the charge, becoming less negative as you get closer to it and eventually reaching zero. The potential for both positive and negative charges is zero at infinite distances from the charge.

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For a substance to change phase, it must either gain or lose thermal energy.

This can be achieved in several ways, including:

Heating or cooling: When a substance is heated, its temperature increases, causing the molecules to move faster and eventually overcome the intermolecular forces holding them in place. This leads to a change in phase, such as from solid to liquid or from liquid to gas. Conversely, cooling a substance can cause its molecules to slow down and solidify.

Pressure: Changing the pressure on a substance can also cause it to change phase. Increasing the pressure on a gas will cause it to condense into a liquid, while decreasing the pressure can cause a liquid to boil and become a gas. Similarly, changing the pressure on a solid can cause it to change into a liquid or gas.

Evaporation: When a liquid is heated, some of its molecules will escape into the surrounding air and become a gas, a process called evaporation.

The specific conditions required for a substance to change phase will depend on the substance's unique properties, including its boiling point, melting point, and vapor pressure.

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Each peripheral nerve provides both motor AND sensory innervation to peripheral structures. The answer would be option C i.e. motor AND sensory

Your answer: C) motor AND sensory

Motor fibers carry signals from the brain or spinal cord to the muscles, causing them to contract and produce movement. Sensory fibers, on the other hand, carry signals from sensory receptors in the skin, muscles, and other tissues back to the brain and spinal cord, providing information about touch, temperature, pain, and other sensations. Therefore, each peripheral nerve provides both motor AND sensory innervation to peripheral structures. The answer would be option C i.e. motor AND sensory

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Answer:

Explanation:

V = I * R

V = 4 * 12.1 = 48.4 v

Answer:

Remember the equation:

F = m*a

where F is force, m is mass and a is acceleration.

If we have F constant. and we want that increases, then we can have the case where m decreases.

The mass can decrease in cases like a rocket, where as the fuel of the rocket consumes, the mass of the rocket decreases and the acceleration increases.

b) The cases where a constant force results in a constant acceleration of zero, is when the force is canceled, an example of this is the constant force of the gravity in all the objects. The objects that are in the ground are being affected by this force, but the gravitational force is canceled with the normal force of the ground. Then we have a constant force that does not cause any acceleration.

A kind of mass movement in which materials move fast in a disorganized, chaotic fashion mixed with water is known as a debris flow.

Debris flows are rapid downhill movements of a mixture of water, rock fragments, soil, and other debris. They are characterized by their high velocity and destructive nature.

Debris flows typically occur in steep mountainous areas or regions with unstable slopes. They are often triggered by heavy rainfall, snowmelt, or rapid thawing of frozen ground, which saturates the soil and creates a slurry-like mixture that flows rapidly downhill. The chaotic and unorganized nature of debris flows makes them highly dangerous and capable of causing significant damage to infrastructure, property, and natural environments in their path.

The high water content in debris flows plays a crucial role in their behavior. The water serves as a lubricant, reducing friction between particles and facilitating the fast movement of materials. As a result, debris flows can travel at high speeds, carrying large volumes of sediment and debris downhill .

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Light photons always travel at a constant speed (the speed of light) regardless of their energy, while the velocity of electrons is not constant and can vary with their energy.

Light photons and energetic electrons do not have constant velocities independent of energy. Light photons, which are particles of electromagnetic radiation, travel at a constant speed in a vacuum, which is approximately 299,792 kilometers per second (or about 186,282 miles per second) in a vacuum, denoted as the speed of light (c). This speed is a fundamental constant of nature and remains constant regardless of the energy of the photons. In other words, all photons, regardless of their energy, travel at the same speed in a vacuum.

On the other hand, energetic electrons do not have a constant velocity independent of their energy. According to classical physics, the velocity of an electron can vary depending on its energy. In classical mechanics, the kinetic energy of an object is related to its velocity. However, in the microscopic world of quantum mechanics, the behavior of particles such as electrons is described differently.

In quantum mechanics, the concept of particle velocity becomes less straightforward. Instead of velocity, quantum particles are described by wavefunctions, which represent the probability distribution of finding the particle at a certain location. The wavefunction of an electron evolves over time according to the Schrödinger equation, and it does not directly correspond to a well-defined classical velocity.

However, in certain situations, such as in electron beams or particle accelerators, electrons can be accelerated to high energies. In these cases, the energy of the electrons is related to their speed, but it is not a constant relationship. As the energy of the electrons increases, their speed can also increase, but it is not independent of their energy.

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During this test, the sled decelerated for a distance of approximately 198 meters before coming to a stop.

In fact, Captain John Stapp conducted groundbreaking research on how extreme acceleration affects human physiology. One of his famous experiments involved accelerating a sled from an initial speed of 282 m/s to -201 m/s².

We can use the equations of motion to investigate the motion of the sled. In this scenario, the relevant equation is:

v² = u² + 2as

Where:

v = final velocity

u = initial velocity

a = acceleration

s = displacement

At this point the sled stops, so the final velocity (v) is equal to zero meters per second. The acceleration (a), which is negative because it denotes deceleration, is -201 m/s², and the initial velocity (u) is 282 m/s. It is necessary to calculate the displacement(s).

When the values ​​are entered into the equation, we get:

0² = (282)² + 2(-201)s

0 = 79524 - 402s

402s = 79524

s = 79524 / 402

s ≈ 198 meters

Therefore, during this test, the sled decelerated for a distance of approximately 198 meters before coming to a stop.

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The two astronauts are about 20.77 meters apart when the lighter astronaut has moved 15 meters.

By use conservation of momentum to solve this problem. According to Newton's third law of motion, when the astronauts push each other, they will experience equal and opposite forces, and their momentum will be conserved.

Therefore, the product of their masses and velocities before and after the push should be equal:

(m₁)(v₁) + (m₂)(v₂) = (m₁)(v₁') + (m₂)(v₂')

where m₁ and m₂ are the masses of the astronauts, v₁ and v₂ are their velocities before the push (which are both zero), and v₁' and v₂' are their velocities after the push. We can solve for v₁' and v₂':

v₁' = (m₁/m₂)(-v₂)

v₂' = (m₂/m₁)(-v₁)

where the negative signs indicate that the astronauts are moving in opposite directions.

Let's plug in the values we know:

m₁ = 65 kg

m₂ = 86 kg

v₁ = 0 m/s

v₂ = 0 m/s

v₁' = ?

v₂' = ?

Using the equations above, we get:

v₁' = (65/86)(-0 m/s) = 0 m/s

v₂' = (86/65)(-0 m/s) = 0 m/s

This tells us that the astronauts will move away from each other with equal and opposite velocities. Let's call the distance between them x, and let's assume that the lighter astronaut (m1) moves 15 m. Then we can set up an equation based on the fact that the total distance they move apart is x:

x = 15 m + (86/65)(-15 m)

Simplifying this equation, we get:

x = 15 m - 20.77 m

x = -5.77 m

This negative value for x means that the lighter astronaut has moved 15 m to the left, while the heavier astronaut has moved 5.77 m to the right. The distance between them is therefore the sum of these distances:

distance = 15 m + 5.77 m

distance = 20.77 m

So the two astronauts will be about 20.77 meters apart when the lighter astronaut has moved 15 meters.

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Mugabe gained power by using political strategies, forming alliances, and exploiting his status as a liberation hero within ZANU-PF.

Robert Mugabe, the former president of Zimbabwe, was able to build power through a combination of political strategies and alliances. One key factor was his involvement in the liberation struggle against white minority rule in Rhodesia (now Zimbabwe).

Mugabe emerged as a prominent figure within the Zimbabwe African National Union (ZANU) party, which later merged with the Zimbabwe African People's Union (ZAPU) to form the Zimbabwe African National Union - Patriotic Front (ZANU-PF). Mugabe's role as a liberation hero and his ability to mobilize support among the majority black population of Zimbabwe gave him a strong power base.

Within ZANU-PF, Mugabe strategically positioned himself and gained influence by forming alliances and outmaneuvering rivals. He rose to become the party's leader and played a key role in negotiating the Lancaster House Agreement in 1979, which paved the way for Zimbabwe's independence in 1980. Mugabe became the country's first prime minister and later transformed the position into an executive presidency, consolidating his authority.

Mugabe maintained power through various means, including controlling key institutions such as the military, intelligence agencies, and the ruling party. He also utilized patronage networks, distributing resources and positions to loyal supporters within the party and government. Mugabe's policies, such as the controversial land reform program, further solidified his power base by appealing to nationalist sentiments and redistributing land from white farmers to black Zimbabweans.

However, Mugabe's consolidation of power was also marked by authoritarianism, human rights abuses, and a declining economy. His grip on power faced challenges over the years, including opposition movements, internal party factions, and economic crises. Ultimately, his rule came to an end in 2017 when he was ousted from power following a military intervention.

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The general term for a device that transforms the energy of an electric current into another useful form of energy is an electrical transducer.

Electrical transducers are used to convert energy of one kind into energy of another, such as converting electrical energy into mechanical energy or vice versa. They can also be used to convert energy from one form to another, such as converting electrical energy into heat, light, or sound.

Electrical transducers have a wide range of applications, from powering small household appliances to providing power to large industrial machines and even providing power to vehicles. For example, a car’s alternator is an electrical transducer that converts mechanical energy from the car’s engine into electrical energy to power the car’s electrical systems.

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The final speed of the go-cart in this inelastic collision is 70 m/s. The result is obtained by using the concept of inelastic collision.

The inelastic collision of two objects occur when some of the kinetic energy is lost, converted to other forms. It means that the law of conservation of kinetic energy doesn't apply.

In this case, both objects will stick together and move together with the same speed. The law of conservation of momentum applies.

m₁v₁ + m₂v₂ = m₁v₁' + m₂v₂'

Where

The 4-wheeler collides with the go-cart in inelastic collision.

Find the final speed of the go-cart!

Note that this is an inelastic collision. In this case, the 4-wheeler and go-cart will stick together and move with the same speed.

The formula for conservation of momentum will be

m₁v₁ + m₂v₂ = m₁v₁' + m₂v₂'

m₁v₁ + m₂v₂ = (m₁ + m₂)v'

It means that

v₁' = v₂' = v'

The final speed of the go-cart is the same with the final speed of the 4-wheeler.

v₂' = v₁' = 70 m/s

Hence, the go-cart will have the final speed of 70 m/s.

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(a) The ODE equation for the current I is \(R * I(t) + L * dI(t)/dt + 1/C * \int I(t) dt = 0\)

(b) The general solution for the current I(t) can be written as:

\(I(t) = A * e^{s_1 * t} + B * e^{s_2 * t}\) where A and B are constants determined by the initial conditions.

(c) A the particular solution so that I(0) is \(I(t) = C1 * e^{\alpha t} * cos(\beta t)\).

(a) The ODE equation for the current I in the RLC circuit can be obtained by applying Kirchhoff's voltage law (KVL) to the circuit. Considering the voltage across the resistor as V_R(t), the voltage across the inductor as V_L(t), and the voltage across the capacitor as V_C(t), we can write:

\(V_R(t) + V_L(t) + V_C(t) = 0\)

The voltage across the resistor is given by Ohm's law as \(V_R(t) = R * I(t)\), where R is the resistance and I(t) is the current. The voltage across the inductor is given by the inductor equation as \(V_L(t) = L * dI(t)/dt\), where L is the inductance. The voltage across the capacitor is given by the capacitor equation as \(V_C(t) = 1/C * \int I(t) dt,\) where C is the capacitance. Substituting these expressions into KVL equation, we get:

\(R * I(t) + L * dI(t)/dt + 1/C * \int I(t) dt = 0\)

(b)  To find the general solution, we rearrange the equation obtained in part (a) and solve the second-order linear homogeneous ODE. Dividing the entire equation by L and differentiating with respect to time, we have:

\(d^2I(t)/dt^2 + (R/L) * dI(t)/dt + (1/LC) * I(t) = 0\)

The characteristic equation for this ODE is given by:

\(s^2 + (R/L) * s + (1/LC) = 0\)

Solving this quadratic equation, we find the roots s1 and s2. The general solution for the current I(t) can be written as:

\(I(t) = A * e^{s_1 * t} + B * e^{s_2 * t}\) where A and B are constants determined by the initial conditions.

(c)  To find a particular solution with I(0) = \(I_0\), we substitute t = 0 into the general solution and equate it to \(I_0\):

\(I(0) = A * e^{s_1 * 0} + B * e^{s_2 * 0} = A + B = I_0\)

To simplify the general solution, we can express it using complex exponentials:

\(I(t) = C1 * e^{\alpha t} * cos(\beta t)\) where C1 is a constant and α and β are real constants obtained from the roots s1 and s2.

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Answer:

0.8

Explanation:

F=uR

F=8,000N

R= 1000*10=10000

u=F/R

u= 8000/10000

u=0.8

Answer:

the girl must sit 2 cm from the pivot at the opposite end of the seesaw.

Explanation:

Given;

length of the seesaw, L = 4.0 m

weight of the boy, W₁ = 400 N

position of the boy from the pivot, d₁ = 1.5 m

weight of her sister, W₂ = 300 N

First, make a sketch of this information given;

                 0---0.5m---------------------Δ--------------------------4m

                         ↓<--------1.5m-------> <---------x--------->↓

                        400 N                                          300N

Apply the principle of moment about the pivot, to determine the value of x;

Sum of anticlockwise moment = sum of clockwise moment

400(1.5) = 300(x)

600 = 300x

x = 600/300

x = 2 cm

Thus, the girl must sit 2 cm from the pivot at the opposite end of the seesaw.