A child and sled with a combined mass of 46.0 kg slide down a frictionless hill that is 10.4 m high at an angle of 26 ◦ from horizontal. The acceleration of gravity is 9.81 m/s^2. If the sled starts from rest, what is its speed at the bottom of the hill? Answer in units of m/s.

Answer:  38000N

Explanation:

Movement -> inertia -> force -> rate of change of momentum

Momentum = mv

                   = mass x velocity

                   = 2000 x 19

                   = 38000N

Answer:

38,000 kg·m/s

Explanation:

Did you mean "momentum"?  If so, here is the solution:

Momentum = p = mv = (2000 kg)(19 m/s) = 38,000 kg·m/s

The potential energy (Ep) is 490 J and the velocity is 9.9  m/s.

To calculate the potential energy (Ep) of an object with mass M at a height h above a reference point, you can use the formula:

Ep = M * g * h

where,

g =the acceleration due to gravity (approximately 9.8 m/s² on the surface of the Earth).

M = mass

h = height

For this case:

Ep = 10 kg * 9.8 m/s² * 5 m

Ep = 490 J

To calculate the velocity (v) of an object in free fall, you can use the formula:

v = [tex]\sqrt{2gh}[/tex]

So in this case:

v = [tex]\sqrt{2 * 9.8 m/s^{2} * 5 m }[/tex]

v = 9.899 m/s

v ≈ 9.9 m/s

Note: These formulas assume that the object is in free fall and that there is no air resistance or other forces acting on the object.

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The potential energy of the rock of mass 20000 kg is 1528800000 J.

Potential energy is the energy of a body due to the position of the body in the gravitational field.

To calculate the potential energy of the rock, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the potential energy of the rock is 1528800000 J.

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Thus, g = GPE / (m*h) = 3 / (4*4) = 0.75 m/s2. Therefore, the gravitational field strength experienced by the object is 0.75 m/s2.

What is gravitational field strength?

Gravitational field strength is a measure of the gravitational force per unit mass at a given location in space.It is typically measured in Newtons per kilogram (N/kg) or meters per second squared (m/s2). Gravitational field strength is an important concept in understanding the effects of gravity on objects and how it affects their behavior.

It is represented by the symbol g and is calculated by dividing the gravitational force by the mass of an object. It is typically measured in units of meters per second squared (m/s2).

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The work done by the system is -2.655KJ. This states that the system performs 2.655KJ of work on the surroundings. Thus, the correct option is D.

Work done is defined as the product of force and the distance over which the force is applied on the object. Work is done when a force is applied to an object and the object experiences motion through a distance.

Given that the work is done on the surrounding, i.e., the work is done by the system and the heat is absorbed by the system.

Therefore,

ΔU = -5.155KJ

q = 2500J = 2.5KJ

Now from first law of thermodynamics,

ΔU = q + w

-5.155 = 2.500 + w = -2.655KJ

w = -2.655KJ

Hence the work done is -2.655kJ.

Therefore, the system performs 2.655KJ of work on the surroundings. The correct option is D.

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The momentum of an isolated system before and after a collision must equal each other, according to the law of conservation of momentum.

The only thing that happens when two bodies collide is that their momentum changes. Thus, for bodies colliding, changes in momentum are always equal and opposite. The momentum of the other body must decrease by the same amount if the momentum of the first body increases. As a result, momentum always remains constant.

Regardless of the type of collision, momentum is always conserved. Although mass is conserved regardless of the type of collision, an inelastic collision may cause the mass to deform, leading to the two possibilities.

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The Taylorsville Volunteer Organization participating in the community is the subject of a key motion.

The motion of an object is the change in its position over time. It can be measured in speed, velocity, and acceleration. Speed is how fast an object is moving, velocity is speed in a particular direction, and acceleration is the rate of change of velocity. Motion can be linear, circular, or oscillatory. Linear motion is the movement of an object in a straight line, circular motion is the movement of an object in a circle, and oscillatory motion is the movement of an object back and forth. Motion can also be described in terms of forces like gravity, friction, and momentum.

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A protective device such as an egg carton, foam padding, or bubble wrap can be used to minimize the magnitude of the net force acting on an egg in a cart during a collision by providing cushioning some of the impact.

What is magnitude?
Magnitude refers to the size or scale of an object, event, or phenomenon. It is typically used to describe the intensity or amplitude of a physical quantity, such as the strength of an earthquake or the brightness of a star. Magnitude is also used to quantify the size of a population, the severity of an economic downturn, or the power of a political movement. Magnitude is usually expressed as a numerical value, such as a number on a Richter scale or a magnitude rating on a star catalog. Magnitude can also be expressed in terms of a relative or subjective scale, such as a rating of “strong” or “weak” for an earthquake. Magnitude is often used in scientific research to quantify the size of a phenomenon, such as the magnitude of climate change or the magnitude of a new medical breakthrough.

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The expansion of the universe does not affect the relative position of astronomical bodies within galaxies.

The universe is described as all of space and time and their contents, including planets, stars, galaxies, and all other forms of matter and energy.

We know for a fact that the universe is expanding, but this does not alter the distance between the earth and the sun. It also does not have a bearing from the distance between atoms.

The expansion of the universe is known to be partly caused by the Big Bang, and partly caused by dark energy.

The stars are more or less static relative to a spacetime fabric that is itself expanding, hence the expansion should not be thought of as stars flying away from each other in a static spacetime fabric.

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Answer:

The relative location of astronomical bodies within galaxies is unaffected by the expansion of the universe. True, the cosmos is expanding, but this has no effect on the distance between the Earth and the Sun.

Explanation:

Compared to traditional fuels, this energy source is more environmentally benign. a supply of clean energy.

With continued industry research and development, there will be more geothermal resources that can be used for energy production. a sustainable source of energy since, unlike wind and solar, it is constantly available. No fuel is necessary.

The fact that geothermal energy is location-specific is its biggest drawback. Digging causes the discharge of gases into the atmosphere. Earthquakes may be sparked by geothermal energy. High upfront expenses of $2 to $7 million for a plant with a 1-megawatt capacity make this resource expensive to use. No fuel is necessary.

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The radius of a circle is increasing at constant rate of 0.4 meters per second The rate of increase in the area of the circle at the instant when the circumference of the circle is 60π m is 24 π sec. The correct answer is B.

A circle's radius grows at a constant rate of 0.2 m/sec.

The circle's immediate circumference is m.

We are aware of what the circle's area is.

A =π r²

Compare equation with regard to time t.

dA/dt = 2π r dr/dt

while dr/ dt = 0. 2m/ sec

so

dA/dt = 0.8 π r

The circle's circumference is also known to be,

C= 2π r

60π = 2π r

r = 30

Now put the value r in equation

dA/dt = 0.8 π r

dA/dt = 0.8 π 30

dA/dt = 24 π

Your question is incomplete but most probably your full question was

The radius of a circle is increasing at constant rate of 0.4 meters per second What is the rate of increase in the area of the circle at the instant when the circumference is 60π ? m"

(A) 0.24 π sec (B) 24 π sec (C) 247π sec (D) 30π sec (e)240π sec

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x component = 10 Cos 120° = -5

y component = 10 Sin 120° = 5√3

In vector algebra, vectors are added, subtracted, and multiplied using vector components. On diagrams, vectors are typically indicated by an arrow. The direction and magnitude of the vector are shown by the tip of the arrow and its length, respectively.

The use of vector components enables us to split a single vector quantity into two (or more) simpler scalar quantities. In vector algebra, vectors are added, subtracted, and multiplied using vector components.

Another method for locating vector components is to use the angle measured in the opposite direction from the +x axis. Then, the x-component will always be cosθ and the y-component will always be sinθ. Hence, the x component will be -5, and the y component will be 5√3.

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Answer:

Magnetic energy can be transformed into kinetic energy in a variety of ways.

Explanation:

One way that this occurs is through electromagnetic induction. This occurs when a changing magnetic field induces an electric current in a conductor, such as a wire. This induced current creates a force that can move the conductor, thus transforming the magnetic energy into kinetic energy. This process is used in electric generators, which convert the kinetic energy of a turbine into electrical energy by turning a coil of wire inside a magnetic field.

Another way that magnetic energy can be transformed into kinetic energy is through the operation of an electric motor. An electric motor uses the interaction between a magnetic field and an electric current to create a force that can rotate a shaft, thus transforming the electrical energy into kinetic energy. Electric motors are used in a wide range of applications, including transportation, manufacturing, and household appliances.

Magnetic energy can also be transformed into kinetic energy through magnetohydrodynamics (MHD), which involves the interaction of a fluid with a magnetic field. When a fluid such as a gas or liquid moves through a magnetic field, it can generate a force that can propel the fluid, thus transforming the magnetic energy into kinetic energy. This process is used in some forms of propulsion, including maglev trains and MHD generators.

In summary, magnetic energy can be transformed into kinetic energy through the interaction of a magnetic field with a conductor, an electric current, or a fluid, which creates a force that can move an object, thus transforming the magnetic energy into kinetic energy.

Answer: The difference in charge between two places is known as voltage. The passage of charge is measured as current. A material's propensity to oppose the passage of charge is known as resistance (current).

Explanation:

See Ohm's Law in which it describes the connection between current, voltage, and resistance. This asserts that, given the temperature is constant, the current flowing in a circuit is directly proportional to the applied voltage and inversely proportional to the circuit resistance. According to Ohm's Law, current is exactly proportional to voltage I = v/r).

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The total distance that block travel is 4 A.

In one full complete cycle of a motion. The block will move back and forth from its original position. Because of the block is pulled to the position x = A, we can say the initial distance travelled = A. When the block is released from the others after being pulled. The cycle = A + A + A = 3A. To hit one full cycle of its motion, the block has to travel, so,

the total distance = 3A + A = 4A

Hence, it is confirm that the total distance the block travel is 4A

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Answer:

Translational Kinetic Energy Definition

The energy possessed by a body or object due to its velocity in one direction is called translational kinetic energy.

Answer:

Translational kinetic energy is the movement of chemical entity's center of mass.

Example: A train moving on a track or any object free falling due to gravity.

The mistake that Kamala made from the table is that Gamma rays should have a very high frequency, not a very low frequency.

The grouping of electromagnetic radiations in the electromagnetic spectrum is done according to diminishing or increasing frequency or wavelength.

The following are some examples of electromagnetic radiations depending on increasing wavelength:

These are the radiation waves produced by the radioactive disintegration of atomic nuclei.

These rays have high frequencies. The frequency happens 1019 times every second.

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Answer:  gamma rays should have a very high frequency, not a very low frequency.

Explanation:

Orion can be seen from most places in the world at some point during the year but is not seen from the same place all year long because the earth orbits the sun which result in changes in the night view.

This is referred to as a prominent constellation located on the celestial equator and visible throughout the world ans it is the most conspicuous in the night sky.

This is therefore the reason why it can be seen from most places in the world at some point during the year. During some periods, it is not seen from the same place all year long because the earth orbits the sun which result in changes in the night view and hinders people from seeing it.

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The wind on Jupiter planet can blow up to 1,500 miles per hour.

A planet is a large celestial body that orbits a star, usually a sun, and has its own gravity. Planets are classified by size, composition, and distance from the star. They are made up of rock, metal, or gas and can contain an atmosphere. Planets can have satellites, or moons, which orbit them. They can also have asteroids, comets, and other objects around them. Some planets have rings, like Saturn, and some have many moons, like Jupiter. Planets are fascinating to study and explore.

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The major academic purposes of homework are to help children: —review and practice what they have learned, get ready for the next day's class .

What is an academic person?

An academic is a person who holds a teaching and/or research position at an institution of higher education such as a university, academy, college, seminary, conservatory or institute of technology. The following are examples and counterexamples of who is typically considered an academic.

What means academic education?

Academic education is research-based and consists of academic bachelor's and master's programmes. For academic bachelor's programmes, the main aim is for students to continue their studies in a master's programme. Academic master's programmes are academically oriented but can also include a professional orientation.

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Deoxyribonucleic acid (DNA) is the nucleic acid that carries genetic information in the human body.

Deoxyribonucleic acid or DNA is the molecule that carries the genetic information for the development and functioning of an organism in the human body. DNA is made of two connected strands that wind around each other to resemble a twisted ladder -a shape referred to as a double helix. Thus, DNA is the nucleic acid that performs the function of carrying genetic information that is to be transferred from one generation to the next generation.

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Disadvantages of renewable energy

Renewable energy has many benefits, but it’s not always sunny when it comes to renewable energy. Here are some cons of renewable energy when compared to traditional fuel sources:

The increasing use of energy sources makes people to find other options than the current energy sources. The types of renewable energy are as follows.

This type of energy comes from the process of capturing solar radiation or sunlight, then converting it into electricity, heat, or hot water. To get electricity, the sun's heat will be absorbed using solar panels (solar panels) and then convert it into electricity.

Wind is moving air. Wind has long been used as a source of energy. For example in the Netherlands, the wind is used to drive a pinwheel. This kincie serves as a source of grain processing equipment. Currently, electricity is also able to generate electricity by utilizing turbines. This turbine is used to drive a generator that generates electricity.

This energy is obtained from the results of the tides. It is known, this type of energy is also used on the east coast of America and Europe. The turbines installed on the waterfront help convert energy from the tides into mechanical energy to grind grain.

This type of energy is used to generate electricity. It's just that developing wave energy requires infrastructure with a relatively high cost.

Sea water has a temperature difference where the inside of the sea water feels cold and the surface of the sea water feels hot because it is exposed to sunlight. This temperature difference is used to generate electrical energy using advanced technology.

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The time taken for the basketball to roll down without slipping is 1.02 seconds.

The final speed of the basket ball when it rolls to the ground is calculated by applying the principle of conservation of angular momentum.

Fr = Iα

mgd = Iα

where;

The formula for moment of inertia of a thin spherical sphere is given as;

I = ²/₃MR²

mgd = Iα

mgd = (²/₃MR²)α

gd = (²/₃R²)(ω²/2θ)

gd = (²/₃R²)(v²/(R² x 2θ) )

gd = (²/₃)(v²) /(2θ)

2θgd = ²/₃(v²)

3θgd = v²

v = √ (3θgd)

where;

v = √ ( 3 x 0.91 x 9.8 x 3.7 )

v = 9.95 m/s

The time taken for the ball is calculated as follows;

v = u + gt

v = 0 + gt

t = v / g

t = ( 9.95 ) / ( 9.8 )

t = 1.02 seconds

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The force required to tip the cube is equal to the coefficient of static friction times the weight of the cube.

fx=μs * 87 kg * 9.8 m/s^2

Generally, The cube will start to tip when the net torque about the point of contact between the cube and the floor is equal to zero. The torque is given by:

torque = force x distance from axis of rotation

The distance from the axis of rotation is half the edge length of the cube (0.475m), and the force is the force applied by the person (). Therefore, the torque is:

torque = fx x 0.475

For the cube to tip, the torque due to the person's force must be greater than the maximum torque the friction can provide, which is the friction force times the distance from the axis of rotation.

The maximum torque provided by friction is:

friction torque = friction force x 0.475

Since the friction force is equal to the normal force (mg) multiplied by the coefficient of static friction (μs), the maximum torque provided by friction is:

friction torque = μs * mg * 0.475

where m is the mass of the cube, g is the acceleration due to gravity and μs is the coefficient of static friction between the cube and the floor.

So, we can find the force needed to tip the cube by equating the torque due to the force with that of the friction torque.

Fx*0.475 = μs * m * g * 0.475

Fx= μs * m * g

Fx= μs * 87 kg * 9.8 m/s^2

Note: The coefficient of static friction (μs) is a dimensionless quantity between 0 and 1, it varies depending on the surfaces in contact.

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Velocity with which the object hits the ground will be  22.3 m/sec.

Velocity is the rate of change of distance with respect to time.

According to the third equation of motion, it relates final velocity with the initial velocity and acceleration

Mathematically, v² = u² + 2as

s = 25 m

a = g = acceleration due to gravity because the object is falling towards the ground = 9.8 m/sec²

u = initial velocity = 0 m/s

v = final velocity = which is to be calculated

v² = u² + 2as

v² = 0 + 2 x 10 x 25

v² = 500

v = [tex]\sqrt{500}\\[/tex]

v = 22.3 m/sec

Velocity of the object will be 22.3 m/sec when it will hit the ground.

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Answer: 4m/s2 ✅

Explanation: A vehicle started from rest and its velocity reached 20m/s after 5 seconds. To calculate the acceleration, we can use the formula: acceleration = (change in velocity) / (change in time).

The change in velocity is 20m/s - 0m/s = 20m/s (the final velocity minus the initial velocity)

The change in time is 5 seconds (the time it takes for the velocity to change)

So the acceleration of the vehicle is (20m/s) / (5s) = 4m/s2✅

Answer: The acceleration of the car starting from rest is 4 m/s^2✅

Explanation:

It is an exercise of uniformly varied rectilinear movement.

What will be the acceleration, if a vehicle started from rest and its velocity reached 20 m/s after 5 second?

Data:

a = acceleration = ?

Vo = initial speed = 0

Vf = Final speed = 20 m/s

t = time = 5 s

The formula to calculate the acceleration is a = (Vf - Vo)/t, but it tells us that the car starts from rest, that is, it has no initial velocity, we clear the formula and we are left:

   a = Vf/t

   a = (20 m/s)/5 s

   a = 4 m/s²

The acceleration of the car starting from rest is 4 m/s^2✅.

Answer: 1200m

Explanation:

This question discusses circular motion. Circular motion is the motion of an object that forms a circular path around a fixed point. An object moving in a circle needs a force that always deflects it toward the center of the circular path. This force is called the centripetal force.

Horizontal equilibrium T sinθ = m x v²/r

r = D/2 = 10.8/2 = 5.4 m

From the above two equations, mg tanθ = m x v²/r

but from the figure

r = L sinθ + 5.4 m

r = (2.85 x sin38.2 + 5.4)

r = (2.85 x 0.6184 + 5.4) = 7.1 m

So,

v² = g x tanθ x r

v² = 9.8 x tan38.2 x 7.1

v² = 9.8 x 0.78 x 7.1

v  = √54.27

v  = 7.36m/s

The speed of each seat is 7.36m/s.

If a child of mass 36.8 kg sits in a seat:

Tenson T = mv²/r

T = 36.8 x 7.36²/(7.1)

T = 280 N

So, the chain tension is 280 N.

Writing the right questions:

An amusement park ride consists of a rotating circular platform 10.8 m in diameter from which 10 kg seats are suspended at the end of 2.85 m massless chains. When the system rotates, the chains make an angle of 38.2◦ with the vertical. The acceleration of gravity is 9.8 m/s.

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