stephanie pulls on a rope that is attached to a large crate. she is pulling the crate along at a constant speed as it slides across rough carpet. how does the magnitude of the force of tension exerted on stephanie compare to the magnitude of the force of tension exerted on the crate?

Force exerted by the ball on the rope is 24.5 N.

Force is an external influence that can change the velocity or motion of an object.

mass of the ball = 1.5 kg

Radius of the circle = 3 m

Speed at which the ball is rotating = 7 m/s

Since the ball is rotating in a vertical circle, centripetal force acts on it.

Centripetal force is the force exerted on a rotating object and the gravitational force in a vertical circle is zero.

Mathematically centripetal force is Fc = mv²/r

Fc = 1.5 * (7)²/ (3)

Fc = 24.5 N

Force exerted by the ball on the rope at the top of the vertical circle is 24.5 N.

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The tension in the cable is 929.334 N.

Solution:

The net force in the horizontal direction is T - F = 0.

Resolving vertically,

N = mg

The relationship between friction and reaction force is

[tex]F = \mu_{k}N[/tex]

[tex]T - \mu_{k} N = 0[/tex]

[tex]T = \mu_{k} mg[/tex]

= [tex](0.870)(109 kg) \times 9.8 \frac{m}{s^{2}}=(0.870)(109kg)[/tex] x 9.8ms²

N = 929.334N.

Tension refers to the force transmitted when a cable, rope, wire, or cord is knotted by forces acting on both ends. The cord is unidirectional along its length and pulls the object evenly at both ends of the cord. As lift increases, the total stress equals the sum of weight and force due to acceleration. As the lift is lowered, the total stress equals the difference in weight and force due to acceleration.

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At the base of the incline, Sam is moving at a speed of 15.73 m/s. who weighs 75 kg puts on his skis and begins to descend a 50 m-high, 20 frictionless slope.

Sam's bottom-of-the-screen speed is determined using the Work-Energy Theorem as follows: An object moves parallel to the plane on a slope with no friction. Both the normal force and the gravitational perpendicular component cancel each other out because they are acting in the same speed. Therefore, an object on a frictionless slope is solely accelerated by the gravitational parallel component. On a surface on an inclined plane with no friction, any item accelerates.

delta W is equal to the delta kinetic energy for frictionless slope

(36750 - 27472) = 1/2*75*(v2 -0).

9278=37.5(v^2)

v^2 = 9278/37.5(v2)

v^2 = 247.4v = 15.73 m/s

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The magnitude and direction of the minimum magnetic field that will keep the particle moving in the earth’s gravitational field in the same horizontal, northward direction is 1.911 Tesla.

Velocity v = 4×[tex]10^{4}[/tex]

Charge q = 2.5 × [tex]10^{-8}[/tex]

Mass of particle m= 0.195 g = 0.195 × [tex]10^{-3}[/tex] kg

Using the concept of Lorentz force

mg=Bvq

B = mg/vq

Substituting the values

B= 0.195 × [tex]10^{-3}[/tex] × 9.8/4×[tex]10^{4}[/tex]×2.5×[tex]10^{-8}[/tex]

B= 1.911 Tesla

Therefore, To produce upward force, using right hand value and taking particle in negative charge then the magnetic field has to be point in eastwards.

What is gravitational field?

In physics, a gravitational field is a model used to describe the effect of one massive object spreading out in space around it and creating a force on another massive object. Gravitational fields are used to describe gravitational phenomena and are measured in Newtons per kilogram.

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No state of matter is required for energy transfer to occur when radiant energy is the source.

When radiant energy is the source,  it means we are talking about energy transfer by radiation, so matter is not needed for the energy to be transferred.

An example of this is the Sun as it heats up the Earth by radiation, even through the vacuum of outer space, where there is almost no matter.

Radiant energy is used for radiant heating that can be generated electrically by infrared lamps, or can be absorbed from sunlight and is used to heat water.

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The deceleration experienced by the cyclist is -5 m/s. Deceleration is also called negative acceleration.

Deceleration is the term used to describe a decrease in speed as the body moves away from the beginning place. The opposite of acceleration is deceleration.

Given,

Initial velocity (V₁) = 8 m/s

Final velocity (V₂) = 0 m/s (Since the bike was stopped).

Time taken for the velocity drop (t) = 1.6 seconds

We know,

[tex]deceleration=\frac{V_{2}-V_{1} }{t} \\[/tex]

Substituting the values we get,

[tex]deceleration= \frac{0-8}{1.6}[/tex]

[tex]= -5 m/s[/tex]

Hence, the deceleration experienced by the cyclist is -5 m/s.

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The right answer is "-1.5 m/s²"

Answer explanation:

Acceleration = change in velocity / time

= (4 m/s – 7 m/s) / 2 s = -1.5 m/s2.

The acceleration is negative because the bike is slowing down.(decelarating)

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A galaxy's halo is a large, generally spherical area that surrounds the disk.

Solution b is accurate.

An extended, approximately spherical component of a galaxy that extends beyond the primary, visible component is called a galactic halo. The halo is made up of several distinctive galaxy parts, including: the halo of a star. a galaxy's corona (hot gas, i.e. a plasma)

The term "halo" refers to a ring of light that seems to surround the sun or moon and is caused by the refraction or reflection of light by atmospheric ice particles.

Globular clusters and other aging stars can be found in the galactic halo, a region of the galaxy that extends far above and below the galactic disk. - Roughly round; somewhat flattened. - Only includes old stars. - is free of gas and dust.

Thus halo galaxy is a large, roughly spherical region surrounding the disk (option B is correct)

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Moment of inertia decreases. due to friction effects associated with the tides driven by the Moon.

Conservation of energy Physics. a fundamental regulation of physics and chemistry stating that the whole power of an isolated system is steady despite inner modifications. it's far most normally expressed as electricity can neither be created nor destroyed and is the basis of the first law of thermodynamics.

According to the regulation of conservation of electricity, electricity can not be created or destroyed. it is able to, however, be converted from one shape to some other. whilst all kinds of strength are considered, the full strength of an isolated gadget stays consistent.

The longer we pass without making enormous adjustments, the greater the risk of world warming and climate exchange come to be in our everyday lives. whilst we burn fossil fuels, they devise an awesome amount of greenhouse gas emissions.

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The minimum coefficient of friction between the tires and the road that the car could have and still make the turn is 0.7 for dry roads and 0.4 for wet roads.

The value of minimum coefficient of friction is usually between 0 and 1 but can be greater than one. A value of zero means there is no friction between the objects such is possible with a lubricant material . All objects, should have friction between them when they come in contact with each other.

The coefficient of friction is as low as 0.05 between dry sliding surfaces will be achieved when the mechanical interconnections are removed. This outcome has been attained based on a theoretical model of an ideal surface for low friction.

The coefficient of friction having value 1 is a perfect positive correlation. A coefficient of correlation zero means there is no linear relationship. Correlation coefficients are used in science to assess the degree of association between two variables, factors, or data sets.

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Ratio of the speeds of the boats with equal centripetal acceleration is 0.7.

Centripetal acceleration is defined as the change in tangential velocity and is experienced during uniform circular motion. It has a magnitude equal to the square of the body's speed v along the curve divided by the radius r (or distance) from the centre of the circle to the moving body. The centripetal acceleration ac is given by:

ac = v^2/ r

For the boat A:

ac = va^2/ 120

For the boat B:

ac = vb^2/ 240

As provided, the centripetal acceleration is equal for both boats, hence

va^2/ 120 = vb^2/ 240

va^2/vb^2 = 120/240

va^2/vb^2 = 0.5

va/vb = √0.5 = 0.7

Hence, the ratio of the speeds of the boats is 0.7

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The lost mass or mass defect that results in the mass of four protons being slightly greater than the mass of a helium nucleus is due to the conversion of matter to energy.

The lost mass or the mass defect is the difference in mass that is observed when the mass atoms of elements are compared to the sum of the mass of the constituents of all the particles in the nucleus of the atom.

For example, the mass of four protons is slightly greater than the mass of a helium nucleus that is also composed of four protons.

This loss in mass is known as the mass defect.

The loss in mass or mass defect is a result of the conversion of some of the mass of the particles to energy.

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The total kinetic energy of a cylinder is 15 J.

Given that, mass = 5 kg

Radius of the cylinder= 30 cm = 30/100 m = 0.3 m

Speed = 2 m/s

Ut = Uk + Ur

where, Uk - translation kinetic energy

Ur - rotational kinetic energy

I is the moment of inertia of the solid cylinder

⇒ 1/2 mv² + 1/2 Iω²

⇒ 1/2 mv² + 1/2 [1/2 m r² * (v/r)²]

⇒ 1/2* 5 * (2)² + 1/2 [1/2* 5 *(0.3)² * (2/0.3)²]

⇒ 10 + 1/2*1/2*5* (0.3)²* 4 / (0.3)²

⇒ 10 + 5 = 15 J

Thus, the total kinetic energy is 15 J.

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The angular separation is 77.8°.

What is angular separation?

It is the angle between two point objects or sightlines, as seen from an observer. It is denoted by θ.

What is bragg's law?

Bragg's law states that "The reflected x-ray beam has the same angle of scattering as the incident beam when an x-ray beam strikes a crystal at an angle. When the path difference (d) is equal to the wavelength's whole number (n), constructive interference will result."

nλ = 2d sin θ

Separation of 532 lines = 1 mm, so the slit separation is,

d= 1 / 532 mm

=[tex](1.8 * 10^-^3mm) (\frac{10^-^3m}{1 mm)}[/tex] = [tex]1.8 * 10^-^6[/tex] m

The Bragg's equation is,

d sinθ = nλ

Rewrite the Bragg's equation for θ

θ = [tex]sin^-^1[/tex] [mλ / d ]

Thus, the angle of diffraction is,

θ = [tex]sin^-^1 [\frac{2(565 * 10^-^9) }{1.8 * 10^-^6}][/tex]

= 38.89°

Angular separation = 2θ

=2(38.89)°

= 77.78°

≅ 77.8°

The angular separation is 77.8°.

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A specific example of a practical application of waves in medicine is the capturing of body structures to detect abnormalities in them.

Abnormality is the giant deviation from normally usual patterns of conduct, emotion, or notion, same time as normality is the absence of illness and the presence of a country of nicely being otherwise referred to as normalcy. It may be hard to attract the line between regular and strange behaviors, specifically in management.

Abnormality consists of 3 extraordinary classes; they're subnormal, supernormal, and paranormal. The technology of unusual psychology studies two types of behaviors: adaptive and maladaptive behaviors.

Apart from genes, similarly, organic elements that contribute effectively to the abnormality of 1's behavior are neurotransmitters and hormones. Imbalance in neurotransmitters like GABA, norepinephrine, and many others., causes unusual neural plasticity or mental dysfunction.

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Voltage is proportional to inductance just as, for resistors, it is proportional to resistance. Now, the (independent) voltages for parallel elements are equal (V₁ = V₂) and the currents (which are generally functions of time) add i(t) = i₁(t) + i₂(t)

This leads to the equation,

i = i₁ + i₂ + i₃ = V [(1/R₁) + (1/R₂) + (1/R₃)] for resistors.

We note that this condition on the currents implies

d₁(t)/dt + d₂(t)/dt = d(it)/dt

Thus, although the inductance equation, ε = -L(di/dt) involves the rate of change of current, as opposed to current itself, the conditions that led to the parallel resistor formula also apply to inductors.

Therefore, 1/L(eq) = 1/L₁ + 1/L₂

Therefore to ensure the independence of the voltage values, it is important that the inductors not be too close together. The requirement is that the field of one inductor not to have significant influence (or "coupling") in the next.

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The spring constant of the spring is 6.66 N/m.

The definition of force in physics is: The push or pull on a massed object changes its velocity.

An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude.

The rotational speed of the 90 g = 0.09 kg mass is: ω = 90 rpm

= 90×2π/60 radian/second.

 = 3π radian/second.

So centripetal force acting on the spring = mω²r

This causes the spring to stretch to a length of 12 cm = 0.12 m.

Hence, spring constant: k = mω²r/0.12 =  0.09×(3π)²×0.10/0.12 N/m = 6.66 N/m.

Hence, the spring constant of the spring is 6.66 N/m.

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The half-life of polonium-218 if a sample decays from 55. 4 g to 31. 7 g in 2. 50 minutes is 3.5 minutes.

Rate of first order reaction is given by:[tex]kt = 2.303 * log(R'/R)[/tex]

Where , k = rate of reaction

             t= time = 2.5 minutes

             R= final amount = 31.7g

             R'= initial amount = 55.4g

Putting these values in above equation we get k = 0.22

Now half life of a first order reaction is given by: 0.693/k

Putting k= 0.22 , we get half life = 3.5 minutes.

So the half-life of polonium-218 if a sample decays from 55. 4 g to 31. 7 g in 2. 50 minutes is 3.5 minutes.

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This situation appears in physics problems because of the negative charge, an inward-facing radial electric field is produced.

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Air in an ideal Diesel cycle is compressed from 4 L to 0.25 L, and then it expands during the constant pressure heat addition process to 0.50 L. Under cold air standard conditions, the thermal efficiency of this cycle is 65.2%.

For an air standard engine with γ = 1.4, compression ratio r and fuel cut off ratio rc where r = V1/V2

and rc = V3/V2 and V1 = 4l, V2 = 0.25l and V3 = 0.50l

The efficiency (n) of diesel cycle is ----

n = 1 - [1 / r^(γ - 1)] * (rc^γ -1) / γ(rc - 1)

n = 1 - [1/(4/0.25)^(1.4-1)] * (0.50/0.25)^1.4 - 1 / 1.4 [(0.50/0.25) -1 ]

n = 1 - [1/3.03] * [2.63 - 1] / 1.4x1

n = 0.652

n% = 65.2%

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The average angular acceleration of Ferris wheel is 0.368m/s².

ω=1.9rad/s

α=4.9rad

To find angular acceleration.

[tex]w^2=2\alpha s[/tex]

To find α:-

[tex]\alpha =\frac{w^2}{2s}[/tex]

=1.9 x 1.9/9.8

=0.368m/s²

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The asteroids are moved by Jupiter under the influence of (b) orbital resonances.

What are asteroids ?

Small, stony objects called asteroids orbit the Sun. Asteroids, sometimes known as minor planets, are rocky, airless debris from the early stages of the solar system's creation, which occurred around 4.6 billion years ago.

When two satellites' orbital periods are related by integer relationships, they can exert gravitational pull on one another and change the eccentricity of their orbits, resulting in an orbital resonance. Io, Europa, and Ganymede are the three inner moons of planet Jupiter. They are locked in a 4:2:1 orbital resonance, which means they are playing the same note in different octaves. The tones that Callisto and Ganymede produce are almost an octave and a minor third apart because they are almost in a 12:5 resonance.

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The two statements that accurately describes this variation are that low tides are lowest at both full moon and new moon, high tides are highest at both full moon and new moon.

What is the reason for this?

As the video shows, the tidal minima are smallest and the tidal bulges are largest at full moon and new moon, because those times when tidal forces due to the Sun and Moon get aligned (and therefore add to one another).

So, high tides are higher and low tides are lower at these times, and these are called spring tides. (In contrast, we have neap tides at first- and also third-quarter moons, when high tides are not as high and low tides are not as low as usual.)

Therefore, the two statements that accurately describes this variation are that low tides are lowest at both full moon and new moon, high tides are highest at both full moon and new moon are .

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a)The time constant of the circuit is  2sec.

b)The maximum charge on the capacitor is 0.18C

c)The charge on the capacitor at one time constant is 0.18×(1-(1/[tex]e^\frac{t}{500}[/tex]).

a)We have resistor resistance 100ohm,capacitor capacitance as 20mf and EMF value as 9V.

We know very well that the time constant of the circuit is defined as the product of Resistance and Capacitance, or in other words

τ=R×C

Therefore,τ=100ohm×20×10⁻³F

            =>τ=2sec.

b)The maximum charge on the capacitor is defined as the product of capacitance and voltage applied by the battery.

In other words, Q=C×E

                      =>Q=20×10⁻³F×9V

                       =>Q= 180×10⁻³C

                        =>Q=0.18C

c)Now,we need to find the charge on the capacitor at one constant time.We know very well that charge on the capacitor at any given time is represented by

q(t)=q₀(1−1 /[tex]e\frac{t}{RC}[/tex])

where q₀ is the maximum charge induced on the capacitor

Therefore, q(t)=0.18×(1-(1/[tex]e^\frac{t}{100.5}[/tex])

=>q(t)=0.18×(1-(1/[tex]e^\frac{t}{500}[/tex])

Hence, a)time constant is 2sec,b)maximum charge is 0.18C and c)charge at one time constant on capacitor is q(t)=0.18×(1-(1/[tex]e^\frac{t}{500}[/tex]).

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In drawing, the holding force is most likely to be lower than the maximal drawing force.

By using a special method called FORCE Drawing, you can learn to see things more clearly and to comprehend what you are looking at. This will help you to draw from life and from your imagination with great talent and understanding.

All forces operating on an item, their direction, and their magnitude are represented in a force diagram. The image has been streamlined to only depict the forces.

The term "force diagram," sometimes known as a free body diagram, refers to a sketch in which all force vectors acting on an object are shown with their initial points at the location of the object.

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The addition of a fourth bulb will cause some of the three lights in a series circuit to become dim.

A wire filament is used in an electronic bulb, a compact and basic light source that emits light when power is applied. The illustration below shows the incandescent light bulb's construction. Three essential components make up the light bulb. the thread. glass lightbulb

An electrical device that generates light is known as an electric light, lamp, or lightbulb. The most prevalent type of artificial illumination is this. A lamp's base, which is often composed of ceramic, metal, glass, or plastic, attaches it in the socket of such a lighting system, which is also frequently referred to as a "lamp."

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The magnitude of the magnetic field at the center of the loop 6.28  × 10⁻⁵ T.

A magnetic field is a vector subject that describes the magnetic effect on moving electric charges, electric currents, and magnetic materials. A transferring price in a magnetic area stories a pressure perpendicular to its very own pace and to the magnetic discipline.

calculation:-

Given;

Number of turns n  = 17 turns

radius = 11 cm = 0.11m

current i = 0.58 A

Magnetic field at the centre of the loop is

B = μ₀nI//2r

B = 4π × 10⁻⁷ × 17 × 0.58 / 2× 0.11

  = 628.4 × 10⁻⁷ T

   = 6.28  × 10⁻⁵ T

A magnetic field is a vector field that describes the magnetic influence on moving electric charges, electric-powered currents, and magnetic substances. A transferring rate in a magnetic field story a pressure perpendicular to its own velocity and to the magnetic area.

The magnetic field is the place around a magnet wherein the impact of magnetism is felt. We use the magnetic discipline as a tool to explain how the magnetic force is shipped in the area around and inside something magnetic in nature.

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B- 70 percent of the original strength for intermediate fabric.

What is  Fabric covering?

Fabrics are adaptable and employed in a wide range of industries, including clothing, agriculture, the military, and obviously the healthcare sector. More than you would imagine, specialty textiles are a part of our daily life. These textiles are generally flame resistant, mould and mildew resistant, and particularly treated with antibacterial properties for the healthcare sector. Why, I presume you ask? Because textiles used often in the medical field need to be antimicrobial and stain resistant from the start, this will help prevent bacteria from growing on the fabric surface.

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To establish mechanical equilibrium, the fulcrum must be placed 3.27 m away from the 250 N weight.

The position of the fulcrum from the 250 N weight is determined by applying the principle of moment as shown below.

let the position of the fulcrum = d

The position of the 250 N from the fulcrum must be greater than the center of the beam since 300 N is heavier than 250 N.

----------------------------------Δ--------------------------------

↓                                     d                                      ↓

250 N                                                                    300 N    

the position of the 250 N weight from the fulcrum = d

the position of the 300 N weight from the fulcrum = 6 m - d

take moment about the pivot;

sum of the antic lock wise moment = sum of the clockwise moment

250 ( d ) = 300 ( 6 - d )

250d = 1,800 - 300d

550d = 1,800

d = 1,800 / 550

d = 3.27 m                              

Thus, the position of the fulcrum from 250 N depends on the length of the beam and the weight hanging at the other end.

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When the block  of iron is  placed  in water  the volume of water that   is  displaced is 27.0  cm³

Hence, Option D is correct.

Explain in detail.

therefore the volume displaced = 27 cm³  since the volume of water displaced  is equal to  volume of block.

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The rank of the terrestrial planets based on their expected cooling rates, from fastest cooling to slowest cooling is as follows -

mercury , Mars, Venus, Earth

Mercury - It is the smallest terrestrial planet in the solar system. It has a thin atmosphere, which causes it to swing between burning and freezing temperatures.

Mars - It is less dense than Earth and has a smaller magnetic field, which is a indication of a solid core rather than a liquid one. Mars is known to have water ice and organics- some of the ingredients for living things.

Venus - It is about the same size as Earth and has a thick, toxic carbon-monoxide (CO) dominated atmosphere that traps heat, making it the hottest planet in the solar system.

Earth - Out of the four terrestrial planets, Earth is the largest and has regular seasons for much of it surface; regions closer to the equator tend to stay warm, while spots closer to the poles are cooler and in the winter, icy.

Therefore, the cooling rate of terrestrial planets is Mars, Earth, Venus, Mercury

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