A fast ride at Six Flags makes a circular loop. If the tangential speed of the cart as it moves around the loop is 10 m/s, and the radius of the loop is 5 m, what is the centripetal acceleration of the cart as it moves around the loop?

4.71 s long (in s) does it take a child on a swing to complete one swing if her center of gravity is 5.53 m below the pivot.

The average position of an object's weight is known as its center of gravity. Any object's travel through space may be entirely explained in terms of how its gravitational center moves from one location to another and, if it is free to spin, how it rotates around that center of gravity. Calculations combining gravitation and dynamics may be made much simpler by treating an object's mass as though it were concentrated at a single location.

T=2π√(l/g)

T=2π√(5.53/9.81)

T=4.71

T =4.71 s

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Answer:

Explanation:

Fg = W = mg = (5.0 kg)(9.8 m/s²) = 49 N

Fnormal = W = 49 N

Ff = μFn = (0.10)(49 N) = 4.9 N

Fnet = 15 N - 4.9 N = 10.1 N

a = Fnet/m = (10.1N)/(5.0kg) = 2.02 m/s²

The required values are a) T = 2.3 seconds, b)  f = 0.434 Hz, c) ω = 2.7 rd/s.

Simple harmonic motion, a particular kind of periodic motion in which a particle repeatedly oscillates around a mean location, In U-tube oscillating liquid column motion is hence simple harmonic.

Given,

Time = 11.5 seconds to five complete vibrations.

a) Time period is time taken to complete one vibration,

So T = 11.5/5 = 2.3 seconds

b) Frequency(f) = 1/T

f = 1/2.3 = 0.434 second inverse.

c) By using formula of angular frequency ω = 2π/T

ω = 2π/2.3 = 2.7 hz

Thus, final values are a) T = 2.3 seconds, b)  f = 0.434 second inverse, c) ω = 2.7 rd/s.

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Option (B)is correct

depends on the choice of axis of rotation

What does m in a moment of inertia mean?

Formula for Moment of Inertia

Moment of inertia is defined in general form as I = m r2,

where m is the sum of the product of the mass.

r is the separation from the rotational axis.

What elements affect inertia?

The position and orientation of the rotational axis affect a body's moment of inertia. It also depends on the body's size, shape, and how its mass is distributed around a particular axis. Q.

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Answer:

Below

Explanation:

Normal force will be   mg cos 15° = 1.5*9.81 cos 15°   Newtons

Downplane force will be  mg sin 15° = 1.5 * 9.81  sin 15°    N

Acceleration

F = ma

F/m = a

1.5 ( 9.81) sin 15° / 1.5   m/s^2  = a

The system that is more energy efficient is system A because it makes use of electricity to produce more results.

Energy efficiency is the use of less energy to perform the same task or produce the same result.

Energy-efficient homes and buildings use less energy to heat, cool, and run appliances and electronics, and energy-efficient manufacturing facilities use less energy to produce goods.

Energy efficiency has the following benefits:

According to this question, the following applies:

Based on the above explanation, it can be observed that system A is more energy efficient because it uses the same electricity to achieve more.

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Due to its larger diameter than the lgf, the mgf on an earth worm has a higher conduction velocity.

The class proposed that because the MGN has a bigger axon width, its conduction velocity will conduct an action potential more quickly than the LGN. Usually, an axon's myelin thickness increases together with its diameter.

The speed of action potential propagation along the axon increases with axon diameter. The sodium ions can migrate more quickly to produce the regeneration of the action potential in the following axon because a larger axon provides less resistance to the flow of ions.

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The second weight of mass 96 g must be located at the 9 cm mark on the meter stick to keep it balanced.

To determine the location of the second weight that will keep the meter stick balanced, we need to consider the principles of equilibrium.

The weight of the meter stick can be calculated as follows:

Weight of meter stick = mass * acceleration due to gravity

= 24 g * 9.8 m/s^2

= 235.2 N

The total weight of the two hanging weights is 96 g + 96 g = 192 g = 1.92 N.

The sum of the forces acting on the meter stick is equal to zero when:

235.2 N + 1.92 N = 0

This equation tells us that the sum of the forces acting on the meter stick is equal to zero when the total weight of the two hanging weights is equal to the weight of the meter stick.

To determine the location of the second weight, we also need to consider the moments about the pivot point. The moment of a force is calculated as the product of the force and the distance from the pivot point. The moments about the pivot point are equal to zero when the sum of the moments of the forces on one side of the pivot point is equal to the sum of the moments of the forces on the other side of the pivot point.

The moment of the weight of the meter stick about the pivot point is calculated as follows:

Moment of the weight of meter stick = force * distance from pivot point

= 235.2 N * 0.4 m

= 94.08 N*m

The moment of the weight hanging from the 9 cm mark about the pivot point is calculated as follows:

Moment of weight hanging from 9 cm mark = force * distance from pivot point

= 1.92 N * 0.09 m

= 0.1728 N*m

To keep the meter stick balanced, the moment of the second weight must be equal in magnitude but opposite in direction to the moment of the weight hanging from the 9 cm mark. The moment of the second weight can be calculated as follows:

Moment of second weight = force * distance from pivot point

= 1.92 N * distance from pivot point

Substituting the value of the force and setting the moment equal to the negative of the moment of the weight hanging from the 9 cm mark, we get the following equation:

1.92 N * distance from pivot point = -0.1728 N*m

Solving for the distance from the pivot point, we find that the second weight must be located at a distance of 0.09 m from the pivot point, or 9 cm. This is the same distance from the pivot point as the weight hanging from the 9 cm mark.

Therefore, the second weight of mass 96 g must be located at the 9 cm mark on the meter stick to keep it balanced.

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The kinetic energy is 939.87 J.

Kinetic energy is the power that an object has as a result of motion. If we want to accelerate an object, we have to exert force. Applying force requires effort on our part. The object will be moving at a new, constant speed once the work is done because energy has been transferred to it.

A particle, an object, or a collection of particles can move because of kinetic energy, which is the force that drives motion. Kinetic energy is used by objects in motion like a person walking, a baseball being thrown, food falling from a table, and charged particles in an electric field.

Kinetic energy = 1/2mv²

Kinetic energy =  1/2×0.06×177²

Kinetic energy = 939.87 J.

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The maximum height an object will reach if it is thrown vertically upwards at 24.0 m/s will be equal to 29.35 meters.

Kinetic energy is the term used in physics to describe the force that a moving item has.

It is described as the amount of effort necessary to accelerate anybody with a particular mass from rest to a given velocity. Except for variations in speed, the body retains the kinetic energy it gains during acceleration.

As per the given information in the question,

The formula of kinetic energy is,

K.E = 1/2 mv²   (i)

The formula of gravitational potential energy is,

u = mg     (ii)

Equate equations (i) and (ii)

1/2 mv² = mgh

h = 1/2 v²/g

h = 1/2 (24)²/9.81

= 576/19.62

h = 29.35 meters.

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According to the information available in the question, the force constant is 6.83N/m.

Using the relation;

T = 2π√m/k

T = period = 0.340 s

m = mass in kilograms = 0.0200 kg

k = spring constant = ?

Making k the subject of the formula;

k = 4π^2m/T^2

k = 4 × (3.142)^2 ×  0.0200/(0.340 )^2

k = 4 × (3.142)^2 ×  0.0200/(0.340 )^2

k = 6.83 N/m

In physics, force is that power that can change the motion of an item. It also can be described intuitively as a push or a pull. A force has both value and path, making it a vector quantity.

Force is a push or a pull and it affects our daily lives because, without force, people might not be capable of opening and near stuff or lifting up their arms or legs.

Variety of Forces :

* Frictional Forces

* Tension force.

* Spring force.

* Gravitational force.

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All galaxies outside the Local Group are moving away from us, and the farther away they are, the faster they're going.

We may learn a lot about the nature of the cosmos from Hubble's rule, which states essentially that a known universe velocity (or, as it is commonly displayed, its redshift) is precisely proportionate to its distance. The relationship between distance and speed should not exist if the cosmos is constant and unchanging.

The Hubble-Lemaître law, commonly referred to as Hubble's law, is the finding in astrophysics that planets are eloping from Earth at rates proportionate to their separation. In other words, they are travelling away from Earth more quickly the more away they are.

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Mass of the fertilizer bag is 165.82 kg

According to Newton's law,

F = m*a

So, m= F/a

m= 131/0.790

m= 165.82 kg

Mass is the measure of matter of a body.

Newton has stated three laws of motion. The first law states that every object will remain at rest or in uniform motion in a straight line unless an external force compels it to change its state of action .

The second law states that the acceleration of an object is dependent upon two variables - the net force acting upon the object and the mass of the object.

The third law states that every action has an equal and opposite reaction.

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The weight of the bucket suspended by rope held in your hand is 20 N.

Newton's third law of motion states that for every action there is an equal and opposite reaction. That is the force applied or exerted on an object is equal to the reaction of the object.

Mathematically, the formula for the Newton's third law of motion is given as;

Fa = Fb

where;

The applied force and the reaction force are equal in magnitude but opposite in direction.

Thus, if the tension holding a bucket upward is 20 N, then there must be an equal and opposite force pushing the bucket downwards. The downward force of the bucket or the weight of the bucket must be equal to the tension holding the bucket upwards.

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Answer:

D

Explanation:

distance does not factor in when you are calculating the gravitational force of an object

Answer:

.Answer: d. All electromagnetic waves have the same frequency.

The kinetic energy of the object is 64 joule.

According to the definition of kinetic energy in physics, it is the amount of work that an item may accomplish while in motion.

As a scalar quantity, kinetic energy can only be fully defined by its magnitude.  SI unit of kinetic energy is Joule.

Given that: mass of the object: m = 2 kg.

Velocity of the object: v = 8 m/s.

Hence, kinetic energy of it   =1/2* mass* velocity^2

=  1/2*mv^2

= 1/2 × 2 × 8^2 joule

= 64 joule.

Hence the kinetic energy is 64 joule.

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M is the mass, and R is the body's radius, hence g=R2GM (planet).The pendulum's time period varying as its acceleration with respect to gravity changes.

Example: On the surface of the earth, a basic pendulum swings for a period of time T 0. This straightforward pendulum would have a period of 12 /xT 0 on a planet with an earth-like density but a radius four times that of the earth.

Answer: T 0 = 2 π√g / L is the formula for a simple pendulum's time period.

The value of g changes in accordance with the mass of a different planet that we visit.

g=  GM / R² is the result.

M, which stands for mass, and R, which stands for body radius (planet).

Given, the radius is four times larger for a different planet with the same density.

Given, the radius is four times larger for a different planet with the same density.

M=density, volume, and p = 4/3 πR³

g=  G * (p 4/3 πR³ / R² = G * p 4/3 π R

Here, R = 4R

⇒ G×ρ 3 / 4 π(4R)=4g

T 0 represents the new time frame.

T0 = 2π √ L/4g = T0/2

Consequently, 12/ x = 2 /1 x=6 because of =T 0 /2.

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The heater needs to provide 540 W of power just to make up for the heat lost through this one wall.

Styrofoam is a trademarked brand of foam insulation and craft material manufactured by the Dow Chemical Company. It is made from expanded polystyrene (EPS) beads that are fused together with steam and pressure. EPS is a lightweight and rigid material that is used for insulation, packaging, and soundproofing. Its properties make it an ideal material for crafting, floristry, model building, and other art projects. Styrofoam is stable in most environments and is resistant to water, oil, and most chemicals. It can be cut, shaped, and painted easily and is an excellent thermal insulator. In addition, it is also non-toxic and non-carcinogenic, making it a safe and economical choice for many applications.

Assuming that the wall is a perfect insulator, the heater will have to provide enough power to make up for the heat lost due to conduction and convection. The rate of heat loss per unit area is given by:

Q = λ*A*(T2 - T1)/d
Where:
λ = thermal conductivity of styrofoam (see table above)
A = Area of wall (3*3) = 9 m2
T2 = Temperature inside the house (25C)
T1 = Temperature outside the house (0C)
d = thickness of styrofoam insulation (2.5 cm)

Plugging in the values we get:
Q = 0.045*9*(25-0)/0.025 = 540 W
Therefore, the heater needs to provide 540 W of power just to make up for the heat lost through this one wall.

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Procyon appears brighter in the sky.

An M1 red supergiant star is the type of star that Antares belongs to. Antares is substantially cooler and redder in color than most other stars, as indicated by its M1 designation. About 6,100 degrees Fahrenheit is the surface temperature (3,400 degrees C).

The brightest star in the constellation Scorpio, the scorpion, is Antares, which is frequently referred to as the scorpion's heart. The star is a red supergiant with a mass that is around 12 times that of the sun, a diameter that is 750 times that of the sun, and a luminosity that is more than 75,000 times greater.

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If the light travels along the length of a 1500 nm , then

(a) if the wavelength is 500 nm then there will be a peak at other end .

(b) if the wavelength is 1000 nm then there will be a valley  .

Wavelength is defined as the distance between two consecutive peaks or valleys .

given the length is = 1500 nm ;

we know that , the formula is L = nλ ;

Part (a) ;

for peak at other end ,

n should be a whole number ;

So , λ = 500 nm

n = 1500/500 = 3 ,

Part(b)

λ = 1000 nm ;

n = 1500/1000

= 1.5

Therefore , (a) There will be a peak at other end .

(b) There will not be a peak at other end .

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The rotational inertia of the wheel which has a radius of 0.34 m is 4.782 kgm²

The force applied tangentially to the wheel = 16.88 N

The radius of the wheel = 0.340 m

The angular acceleration of the well = 1.20 rad /s²

The rotational inertia can be found using the formula,

             I = F x r / α

where I is the rotational inertia

          F is the force applied

          r is the radius of the wheel

          α is the angular acceleration

Let us substitute the known values in the above equation, we get

              I = 16.88 x 0.34 / 1.20

                = 5.7392 / 1.20

                = 4.782 kgm²

Therefore, the rotational inertia is 4.782 kgm²

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The new acceleration would be 24.0 m/s/s.

Acceleration is the rate of change of velocity of an object over time. It is a vector quantity, meaning that it has both magnitude and direction. Acceleration is the result of applying a force to an object, and can be described mathematically as the change in velocity (or speed) divided by the time it takes for the acceleration to occur. Acceleration can also be caused by a change in the direction of motion and is measured in meters per second squared (m/s2). It is an important concept in physics, and is used to describe motion in objects ranging from cars to planets.

The new acceleration would be 24.0 m/s/s. This is because the acceleration of an object is directly proportional to the force applied to it, and inversely proportional to its mass. Therefore, doubling the mass of the object would halve the acceleration, since the force applied to the object remains the same.

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The velocity of third mass of watermelon is 3.12m/sec if it explodes into three equal masses.

We know that we need to conserve the momentum of watermelon in a certain direction.Also,we know that initial momentum of watermelon is zero,it means that according to law of conservation of momentum final momentum should be zero.

Now,initial momentum of watermelon=0Kg-m/sec

Alos,we know that momentum =mass× velocity

Now,suppose watermelon has mass m.When it explodes into three equal parts,then the mass of each watermelon pieces is m/3

=>So,final momentum of piece moving to east=(m/3)×15

Similarly final momentum of second and third piece are

(m/3)×10×1/√2 and (m/3) × v × (1/√2)

So,conserving momentum,we get

=>0=(m/3) × 15 +((m/3)×10×1/√2 ) + (m/3)×10×1/√2 )×v

=> - (15 + 10/√2) = (10/√2)×v

=> - (15√2 + 10) = 10v

=>v = (15√2 + 10)/10

=>v= -(21.21+10)/10

=>v= -31.21/10

=>v= -3.12m/sec

Here negative sign shows that mass will move opposite direction to first piece.

Hence, required velocity is 3.12m/sec.

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Three helium-4 nuclei (alpha particles) are turned into carbon by a series of nuclear fusion processes known as the triple-alpha process.

What results from the triple-alpha procedure as the finished product?

The triple-alpha process and the alpha process are two classes of nuclear fusion reactions that stars use to change helium into heavier elements. The alpha process is also referred to as the alpha ladder. [1] Only helium is used in the triple-alpha process, which also yields carbon.

Which statement concerning alpha particles in an atom is accurate?

Two protons and two neutrons make up alpha particles, which are identical to helium nuclei and have a positive charge.

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Answer: Hookes law states F=kX where F is the force applied, k is the spring constant, and X is the extension of the spring from its resting point.Substituting the values in, we get:F=100*(0.65-0.5)=100*0.15=15N

The kind of spring should be held constant so as to improve the validity of the experiment.

Hooke's law states that the force that acts on a spring is directly proportional to the extension of the spring as long as the elastic limit is not exceeded.

As such, we can now understand that we can only be able to talk about the Hooke's law if there is no way in which the material has passed the elastic limit of the material. In this case, we are told that the students just embarked on a kind of experiment and they want to be able to verify the validity of the Hooke's law.

We saw that the masses that were hanged were increased but the springs were also changed. This would not allow us to determine the force constant and the Hooke's law accurately.

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Refer to the attached photos. I would appreciate a rate :)

As we already know that intensity of light used is proportional to the no of electrons emitted per unit of time from the metal plate in the photoelectric effect and does not affect the energy of the emitted electrons and so the stopping potential of the photoelectric cell.

so, if we treat light as a packet of energy and follow quantum theory then it can only emit the electrons as energy is provided as a whole and there is no gap between the striking of photons and the emission of electrons from the metal plate but if we follow the classical theory of light being a wave than the intensity does not matter and no electron can be emitted as energy is provided in continuous form as energy can't be stored and used together.

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The force with which the planet is attracted to the 10kg object is 4N.

Gravitational force is described as the most prevalent force in the universe, pulling together on any two objects with mass in the universe.

we have the following data:

Mass of object = 10 kg

Gravitational field strength = 4Nkg

To determine with what force the planet is attracted to the 10kg object:

Mathematically, the force with respect to the gravitational field strength is given by the formula:

Force = mass x gravitational field strength

Force = 10 x 4

force = 40 newton

We can conclude that the force with which the planet is attracted to the 10kg object is 4 Newton.

The gravitational field is the gravitational force exerted per unit mass on a small mass at a point in the field. The gravitational field strength at a point describes how strong or weak a gravitational field is at that point.

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