beth and sam are 500 miles apart. if beth travels at 60mph and leaves her house at 1pm, what time will she arrive at sam's house?

The velocity of the football thrown is approximately 23.76 meters per second.

Momentum is simply the product of the mass of an object and its velocity.

This is expressed as;

P = m × v

Where m is the mass of the object and v is its velocity.

Given that;

Plug the given values into the above formula and solve for v.

P = m × v

v = P / m

v = 10.1kgm/s / 0.425kg

v = 23.76 m/s

Therefore, the velocity of the ball is 23.76 m/s.

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An electrical device known as a transformer transfers energy between one electric circuit to another by employing the electromagnetic induction principle.

The coils of wire that make up an electromagnet have electricity running through them. When an electric current flows through the wire coils of an electromagnet, the coils act like a magnet because moving charges produce magnetic fields.

Microwaves, X-rays, gamma rays, radio and television waves, ultraviolet rays, reflected light, ultraviolet light, and microwaves are a few samples of electromagnetic waves that propagate across space independently of matter.

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A block is attached to a spring is oscillating with an amplitude of 10 cm. If its total energy is quadrupled, the amplitude of resultant periodic motion becomes 16 times.

The position of block over time is given by the equation:

x(t) = A cos(ωt + Ф)

where, A is the amplitude

ω is the angular frequency

Ф is the angle

The total energy of the oscillation or periodic motion is stored as the potential energy. It is given by the equation, E = 1/2 * k * x²

where, k is the spring stiffness

Hence, the total energy is directly proportional to the square of the amplitude.

E ∝ A²

which means that, if energy is doubled the resultant amplitude of the periodic motion is 2² of quadrupled.

Similarly, if the total energy is quadrupled, the amplitude will be 4² times or 16 times.

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1. The atomic mass of the new atom be 252. Option (d) is correct.

2. The atomic number of the new atom be 100. Option (j) is correct.

3. The symbol of the new atom be Fm.  Option (e) is correct.

4. Beta decay is demonstrated here. Option (g) is correct.

In a process known as beta decay, a proton inside the radioactive sample's nucleus is converted to a neutron or vice versa. The radioactive sample's nucleus is able to reach as close as feasible to the ideal neutron/proton ratio thanks to processes like beta decay and alpha decay.

The nucleus releases a beta particle, which can either be an electron or a positron, in the process. Consider the possibility that either a proton or a neutron could transform into another particle. The law of charge conservation is followed by the generation of the electron and the positron. Weak interaction results in beta-decay.

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The final velocity of the rugby player is 15.62m/s.

Acceleration is the rate of change in both speed and direction of velocity over time. When something moves faster or slower in a straight line, it is said to have been accelerated.

Meter per second per second (m/s2) is the unit of acceleration. Definition. The force known as the snewton is that which, when applied to a mass of one kilogram, results in an acceleration of one metre per second per second.

Given,

Initial velocity u = 2m/s

distance s = 20 m

acceleration a = 6 m/s

v² = u²+ 2as

v² = 2² + 2×6×20

v² = 4+240

v² = 244

v = √244

v = 15.62m/s.

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Complete question is "A rugby player is moving at an initial speed of 2 m/s and takes a distance of 20 m to accelerate to 6 m/s. Calculate the final velocity of the rugby player."

Answer: A scientific law describes a natural occurrence, but doesn't attempt to clarify how the event occurs. Or there is an 'if, then' statement that can be made and tested.

Answer: Scientific law are principles that are accepted by an overwhelming majority of scientists. Scientific laws or laws of science are statements, based on repeated experiments or observations, that describe or predict a range of natural phenomena.

Explanation: Hope this was helpful

An object weighing 5 kg is perched on a smooth incline that slopes at a 26-degree angle to the horizontal. The amplitude of the object's acceleration is given by F>mg sin26.

The rate where the direction of movement change over time is referred to as acceleration. Anything is said to be rushing when that goes faster or slower.

The three main types of propelled motions are regular accelerated, non-uniform velocity, and points of data. The motion in which an item moves in a single direction while increasing in velocity at regular intervals is referred to as uniform acceleration.

F = ma

F - mg sin26 = ma

a = F - mg sin26/m

a = F/m - gsin26

which implies, F>mg sin26.

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The energy can neither be created nor destroyed. It can be transformed from one form to another.

The law of conservation of energy states that, the total energy of an isolated system remains constant and it is said to be conserved over time. This means that the system always has the same amount of energy unless added from outside.

In the above question, it is asked if law of conservation of energy can be applied on a roller coaster. The answer is yes. On a roller coaster, energy changes from potential to kinetic and back again repeatedly over and over the course of the ride.

The two forms of energy which are important on a roller coaster are gravitational potential energy and kinetic energy. The roller coaster has the greatest amount of potential energy at the top of the first hill as it is the highest point of the roller coaster.

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The displacement current is 0.28125 C/s and the magnitude of the magnetic field is 2T.

Magnetic field strength is a quantitative measure of the strength or weakness of a magnetic field.

According to the displacement current and the Biot-Savart law, the displacement current and magnetic field can be calculated.

radius of the circular plate = R = 16.0

radius of circular loop = r = 21.0 cm

rate of charge =  (dq/dt) = 8 C/s

displacement current id = (dq/dt) * [tex]\pi r^{2}[/tex] / [tex]\pi R^{2}[/tex]

since r > R therefore in displacement current the formula can be changed as

id = (dq/dt) * [tex]\pi R^{2}[/tex] / [tex]\pi R^{2}[/tex]

id = (8) * [tex]\pi 16^{2}[/tex] / [tex]\pi 16^{2}[/tex]

id = 0.28125 C/s

magnetic field can be calculated by B = μ₀I/2πr

μ₀ = 4[tex]\pi[/tex] * [tex]10^{-7}[/tex] H/m

i = id = 0.28125 C/s

r = 3.0 cm

B = {4[tex]\pi[/tex] * [tex]10^{-7}[/tex] * 0.258125} / 2*[tex]\pi[/tex]*3*[tex]10^{-2}[/tex]

B = 1.87 T

B ≈ 2 T

The displacement current through a circular loop of radius r = 3.00 cm is 0.28125 C/s.

The magnitude of the magnetic field between the capacitor plates at a radius r = 3.00 cm from the axis of the capacitor is 2T.

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"While Kendall is accelerating and Gabriella was slowing down in lockstep, Franklin is not doing so.

When an object accelerates, its acceleration also moves in the same direction as its velocity. This indicates that the situation is developing. Example B shows an object moving in reverse while accelerating (i.e., having a negative velocity).

By dividing that velocity change but by time it takes for change to occur, acceleration is determined. Similar to velocity, acceleration has a direction. When something speeds up, it moves more quickly in the area it is moving.

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The magnitude of force exerted by the rope on the crate is 312 N.

From Newton's second law of motion, we know the expression of force as,

F = m * a

where, m is mass

a is acceleration

Given that, mass of the crate is 40 kg

Acceleration is 2 m/s²

The net force that the rope is applying to the card while it is sliding downward is given by,

F = m(g - a)

Substituting the values,

F = 40(9.8 - 2)

F = 312 N

Thus, the net force exerted by the rope on the crate is 312 N.

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The statement that is true about circular motion is that; the net force on the object is directed toward the center of the circular path. Option D

We know that the circular motion is the kind of motion that occurs along a circular path. We know that in a circular motion, the direction of the motion is also important.

Now we know that the whirling of a stone around a circular path is one of the very typical examples of a circular motion in the context of our discussion here.

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Which statement is true about an object that is traveling in uniform circular motion? O A. The speed of the object varies. O B. The direction of the object's velocity is constant. OC. The net force on the object is directed away from the center of the circular path. O D. The net force on the object is directed toward the center of the circular path.

A solid sphere of radius R is placed at a height of 40 cm on a 15∘ slope. It is released and rolls, without slipping, to the bottom. A circular hoop of radius R be released on the same slope in order to equal the sphere's speed at the bottom with height of 57.14 cm

The height that a circular hoop should be released can be calculate as follows:

Generally the equation for the potential energy of the sphere is mathematically given as

mgh= 1/2Iw² =1/2 mv²

where,

inertia of sphere

I = 2/5 mr²

and

angular velocity

w = v/r

therefore, we can input inertia of sphere and angular velocity to potential energy equation

mgh= 1/2Iw² =1/2 mv²

mgh = 1/2 ( 2/5mr²) ((v/r)² + 1/2mv²

mgh = 1/2 ( 2/5(v/r)²mr²) + 1/2mv²

mgh = 1/5 mv² +  1/2 mv²

mgh = 7/10 mv²

v² = 10gh

        7

generally the equation for the inertia of circle of sphere is mathematically given as

I = mr²

mgh = mv²

h = v²/g

therefore h = 10gh/7

                        g

h = 57.14 cm

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The height above the surface of the earth should be [tex]2.294 * 10^{6} m[/tex].

The Acceleration due to earth gravity is known as the acceleration due to gravity. It means when an object falls from a certain height towards the surface of the earth, its velocity changes. The change in velocity produces the acceleration in the object is called the gravitational acceleration

We know that acceleration due to gravity at height h is given by : [tex]g' = GM/(R+h)^{2}[/tex]

Where, G = gravitational constant = [tex]6.67 * 10^{-11}[/tex]

            M = mass of earth = [tex]5.97 * 10^{24} kg\\[/tex]

             R = radius of earth = [tex]6.38 * 10^{6} m[/tex]

             h = height

Given g' = 0.54

Putting these values in above equation  we get h = [tex]2.294 * 10^{6} m[/tex]

i.e. to experience an acceleration of 0.54g , the object should be at [tex]2.294 * 10^{6} m[/tex] above the earth's surface.

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Answer:

6.88 m/s

Explanation:

The Conservation of Energy states that:

Initial Kinetic Energy + Initial Potential Energy = Final Kinetic Energy + Final Potential Energy

So we can write

[tex]mgh_{i}+\frac{1}{2}mv_{i} ^{2}=mgh_{f}+\frac{1}{2}mv_{f} ^{2}[/tex]

We can cancel the common factor of [tex]m[/tex] which leaves us with

[tex]gh_{i}+\frac{1}{2}v_{i} ^{2}=gh_{f}+\frac{1}{2}v_{f} ^{2}[/tex]

Lets solve for [tex]v_f[/tex]

[tex]gh_{i}+\frac{v_{i} ^{2}}{2}=gh_{f}+\frac{v_{f} ^{2}}{2}[/tex]

Subtract [tex]gh_f[/tex] from both sides of the equation.

[tex]gh_{i}+\frac{v_{i} ^{2}}{2}-gh_{f}=\frac{v_{f} ^{2}}{2}[/tex]

Multiply both sides of the equation by 2.

[tex]2(gh_{i}+\frac{v_{i} ^{2}}{2}-gh_{f})={v_{f} ^{2}[/tex]

Simplify the left side.

Apply the distributive property.

[tex]2(gh_{i})+2\frac{v_{i} ^{2}}{2}+2(-gh_{f})={v_{f} ^{2}[/tex]

Cancel the common factor of 2.

[tex]2gh_{i}+v_{i} ^{2}-2gh_{f}={v_{f} ^{2}[/tex]

Take the square root of both sides of the equation to eliminate the exponent on the right side.

[tex]{v_{f}=\sqrt{2gh_{i}+v_{i} ^{2}-2gh_{f}}[/tex]

We are given [tex]g,v_{i},h_{i},h_{f}[/tex].

We can now solve for the final velocity.

[tex]{v_{f}=\sqrt{(2*9.81*2.41)+(0^{2})-(2*9.81*0)[/tex]

Anything multiplied by 0 is 0.

[tex]{v_{f}=\sqrt{2*9.81*2.41[/tex]

[tex]{v_{f}=\sqrt{47.2842[/tex]

[tex]v_f=6.88[/tex]

The above statement states that when the minimal angle of departure is 29 degrees, then index of refraction is 1.26.

Refraction occurs when light bends or changes direction as it passes through one material and then another. For instance, when light strikes water after passing through the air, it refracts. As a result, the straw in a water glass may appear bent at the water's surface. Some surfaces don't refract or reflect light at all.

D=29°

As for the refractive index:

μ=2sin(30°+D/2)

  =2sin(30°+29°/2)

  =2sin(30°+14.5°)

  =2sin(44.5°)

  =2*0.63

  = 1.26

Therefore the refractive index is 1.26.

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The efficiency of a 10 hp DC motor that draws 31 A at 300 volts is equal to 80 %.

The efficiency of a motor can be calculated from the ratio of the mechanical power output to the electric power input to the motor.

Given the horsepower of the DC motor = 10 hp

Conver the hp into watt:

1hp = 745.7 W

Output power = 10 hp = 10× 745.7 = 7457 W

Input power = 31 × 300 = 9300 W

The efficiency of the motor = Output/Input ×100

Efficiency = (7457/9300) ×100 = 80 %

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a).  the rocket's maximum altitude is 54.8km .

b). the rocket in the air 227.6 s

Calculation :

Given data

The expression from the equation of motion can be given as,

v₁²−v²=2gs1......(1)

The velocity during the first phase can be calculated as,

v1=vo+at1

v1=0+(30×30)

v1=900m/s

(a)

The altitude attained during first phase can be calculated as,

s1=v²₁ / 2a

s1=900/(2×30)

s1=13500m

Substituting the values in equation 1 for distance travelled during second phase,

(900)²−0=2×(9.8)×s₂

s2=41326.5m

The maximum altitude attained by rocket can be calculated as,

s=s1+s2

s=13500+41326.5s

=54826.5m

s=54.8km

(b)

The total time period can be calculated by the expression,

t=ta+td......(2)

The time taken in second phase of the motion can be calculated as,

v=v1+gt2

0=900−(9.8)t2

t2=91.8s

The time of ascent can be calculated as,

ta=t1+t2

ta=30+91.8

ta=121.8s

The time of descent can be calculated as,

td=√(2s/g)

td=√(2×54832.5)/(9.8)

td=105.8 s

Substituting the values in equation 2,

t=121.8+105.8

t=227.6 s

Thus, the duration of rocket in the air was 227.6 s

(c)

Figure

From the figure,

At point A, fuel was out.

At point B, rocket attended maximum altitude.

At point C, rocket fell on ground.

Acceleration is the rate of change of an object's velocity with respect to time. Acceleration is a vector quantity (as long as it has magnitude and direction). The direction of an object's acceleration is given by the direction of the net force acting on that object. As described in Newton's second law the magnitude of an object's acceleration is the combined effect of two sources.

The mass of this object is inversely proportional to the mass of the object, depending on the material from which it is made.

The SI unit of acceleration is meters per second squared.

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According to the given statement is the 59.21° angle was her force directed.

The word "force" has a specific meaning in science. At this level, calling a force a shove or a pull is entirely appropriate. A charge is not really something an object "has in it" or that it "contains." One thing experiences a force from another. Living organisms or inanimate objects are not the only things that can be considered forces. Every time two items interact, a force is exerted on every one of the objects. The force is no longer felt by the two objects when the interaction ends.

Work done = force × distance

236J = 18.9cos(o) × 24.4

236/24.4 = 18.9cos(o)

(0.5117)cos^-1 = (o)

59.21°

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Answer:

[tex]\huge\boxed{\sf K.E. = 16 \ J}[/tex]

Explanation:

Mass = m = 3 kg

Speed = v = 4 m/s

Kinetic Energy = K.E = ?

[tex]\displaystyle K.E. =\frac{1}{2} mv^2[/tex]

[tex]\displaystyle K.E. =\frac{1}{2} (3)(4)^2\\\\K.E. =\frac{1}{2} (3)(16)\\\\K.E. = (2)(8)\\\\K.E. = 16 \ J\\\\\rule[225]{225}{2}[/tex]

The mass of an 8oz styrofoam cup is approximately 227 grams .

The mass of a substance is a measure of the quantity of matter present in that substance,

The mass of a substance is measured with a chemical balance and is independent of gravity. The SI  unit of the mass of a substance is the kilogram. kg.

Other smaller multiples of the kg include grams, milligrams, centigrams, etc.

Some other unit of measurement of the mass of a substance is ounces (oz), pounds (lb), tonnes (t), etc.

The conversion from ounces to gram is 1 oz = 28.3495 grams

Hence, 8 oz = 8 * 28.3495 grams

8 oz = 226.796 grams or approximately 227 grams

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The angular velocity of a car tire is 1 rad/s.

What is angular velocity?

Angular velocity is the speed at which the angle between two bodies changes when an object rotates or revolves around an axis. This displacement is depicted in the image by the angle formed by a line on one body and a line on the other.

We know,

Angular velocity = ω = [tex]\frac{V}{R}[/tex]

Given,

V = 30 m/s

R = 30 cm

Putting values in the formula

ω = [tex]\frac{30}{30}[/tex] rad/s

= 1 rad/s.

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The relationship between wave characteristics and the generation of electrical energy is that energy of the wave is converted into electrical energy and the energy carried by this wave depends on its amplitude.

The average power of a wave is the amount of energy of the wave transmitted over a given time.

Power = energy / time

The amount of energy carried by a wave is related to the amplitude of the wave.

A high energy wave is characterized by a high amplitude; a low energy wave is characterized by a low amplitude.

Mathematically, the formula for the average power of a wave is given as;

P(avg) = ¹/₂μω²A²v

where;

Thus, the energy carried by a wave is a function of its amplitude and speed.

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According to the claim, all magnetism originates through moving electric charge.

There are always two magnetic poles. Stainless steel, iron, nickel, cobalt, and several rare earth metals are a few examples of magnetic materials. An magnetic field weakly repels diamagnetic materials like copper and gold. An magnetic field has a weak attraction for paramagnetic materials like calcium and aluminum.

Mathematically, Maxwell demonstrated how a shifting magnetic field generates a shifting electric field (and vice versa). As a result, magnetism is crucial because it helps humans produce electrical energy. In actuality, spinning magnets are the source of the majority of the energy we consume today.

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Twisted-pair wiring is a category of cable that is comprised of four copper cables that have been wound around one another and encased in a plastic sheath.

Also with copper wires, twisted-pair cables were some of the first guided transmission medium. Twisted-pair cables are utilized in a variety of networking and communication applications today, including local area networks, digital subscriber lines, and phone lines.

The common copper cable known as twisted pair is used to link residential and commercial systems to the phone provider. Two copper pipe wires are wound around each other in a spirally to minimize electromagnetic induction or crosstalk between pairs of wires. Twisted pair connections require both wires for each connection.

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Answer:

D. 74

Explanation:

40/.54= 74

Factor that does not significantly affect the amount of solar energy reaching the surface of earth is : distance between earth and sun.

Solar radiation that reaches surface of the Earth without being diffused is called direct beam solar radiation. Sum of the diffused and direct solar radiation is called global solar radiation.

Rotation of earth also does not affect the amount of solar radiation received at the Earth's surface. Tilt, orientation, latitude, and climate can have great impacts on a solar system's performance.

Solar energy is generated by the nuclear reaction within the sun and this energy reaches the surface of the earth in the form of electromagnetic radiation.

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If the worlds pull it on sun more than the sun does on the planets, then the above statement is true because of sun's acceleration is significantly smaller.

Even though it is a star, and our own local star at that, our sun lacks a widely used and distinctive English proper name. We English people just refer to it as the sun. English speakers occasionally refer to our sun as Sol.

It emits heat and light, also known as solar energy, which enables life to live on Earth. To flourish, plants require sunshine. Humans and other animals alike depend on plants for nourishment as well as the oxygen they release. Earth would freeze absent solar heat.

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A few tens of meters across, or around the size of a home, and smaller asteroids are frequently referred to as meteoroids, however the option may vary slightly depending on the situation.

Explain the nature of asteroids.

Asteroids are rocky, airless pieces of the solar system's early formation, which took place about 4.6 billion years ago. They are also referred to as minor planets. As of this time, 1,113,527 asteroids are known. the visible cosmos

How many asteroids have impacted Earth?

Based on rates of crater creation discovered on the Moon, the Earth's closest astronomical neighbour, astronomers have calculated that 60 objects with a diameter of at least 5 km (3 mi) had struck the Planet inside the preceding 600 million years.

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It is incorrect to say in the first circle that "Only space existed," as this contradicts the big bang idea.

The Big Bang hypothesis describes how the universe suddenly appeared and started to grow from a single, infinitely tiny, infinitely hot, and endlessly dense point.

The First Circle's claim that "Only space existed" is false and contradicts the big bang theory, it can be concluded.

What is big bang theory?

The dominant theory used to explain how the cosmos got its start is called the Big Bang Theory. Simply expressed, it states that throughout the course of the following 13.7 billion years, the universe as we know it expanded and contracted from an impossibly hot and dense single point to the still-expanding cosmos we observe today. This expansion and contraction occurred at first at unfathomable speeds.

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