We can best understand how a diver is able to control his rate of rotation while in the air (and thus enter the water in a vertical position) by observing that while in the air
A) his linear momentum is constant.
B) his potential energy is constant.
C) his kinetic energy is constant.
D) his angular momentum is constant.
E) his total energy is constant.

The gravitational force on the car is 23000 N, the vertical normal (support/reaction) force acting on the car is 0 N, and the horizontal force on the car's tyres from the road is 5460 N.

Mass of the car, m = 2300 kg

Force acting on the car, F = 5000 N

The initial speed of the car, u = 10 m/s

The final speed of the car, v = 14 m/s

Time, t = 20 s

The gravitational force on the car is calculated by the formula given as

F = mg

F = 2300 × 10

F = 23000 N

Now, as there is no vertical movement in the car therefore the vertical force acting on the car is 0 N.

The horizontal force on the car's tyres from the road

= force acting on the car + net force on the car

= 5000 + ma

= 5000 + 2300 × (v-u)/t

= 5000 + 2300 × (14 - 10)/20

= 5000 + 2300 × 4/20

= 5000 + 460

= 5460 N

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This ride increases this person's gravity potential energy by 9000 Joules.

The force of attraction between any two bodies is directly proportional to the product of their masses and is inversely proportional to the square of their distance, according to Newton's universal law of gravitation.

The definition of energy is "the ability to do work, which is the capability to apply a force causing the displacement of an object." Despite this vague description, energy simply refers to the power that propels motion.

Weight of the person, W = 6 x 102 N = 600 N

Avg. Speed of elevator, v = 3 m/s

Time of ride, t = 5 sec.

Therefore,

Mass of the person, m = W/g = 600/9.8 = 61.2244 kg

Height of the elevator after 5 sec, h = v x t = 3 x 5 = 15 m

Potential energy increase , PE = mgh = 61.2244 x 9.8 x 15

                                              PE = 9000 Joule

Therefore, 9000 Joule does this person's gravitational potential energy increase as a result of this ride.

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It is true that on looking vertically down into the water the black line appears to be closer that it really is.

A material's refractive index, which is quantified, indicates how much a light path is bent or refracted when it penetrates that material.

The critical angle for total internal reflection and the amount of light that is reflected when it reaches the contact are both determined by the index of refraction.

Due to the refraction of light rays as they pass through water and into the air, an item seen in the water typically appears to be deeper than it actually is.

Since the angle subtended by the object is greater, it "appears" larger because the light's refraction away from the normal changes the angle at which the light appears at the eye.

Thus, the given scenario is true.

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When using a 20 ft ladder the distance from a building should be the base of the ladder by 5 ft

The base of a ladder should be positioned one-quarter of the working length of the ladder from the building. Therefore, when using a 20 ft ladder, the base should be positioned 5 ft from the building. Additionally, the ladder should be placed on a solid and level surface, and the feet of the ladder should be securely wedged to prevent slipping.

Extend the top of the ladder three feet above the work table to get access to it, or fasten the ladder at the top.

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Answer: -200,000N

(To be more specific, 200,000N in the opposite direction)

Explanation:

By Newton's 3rd law (Action reaction pair)

The crumple zone exerts a force on the wall, the wall will exert an equal but opposite force on the wall.

Same magnitude -> 200,000N

Opposite direction-> Include a negative sign as force is a vector which depends on both magnitude and direction.

The ideal mechanical advantage is 5.

Here, we have value larger radius , R = 20 cm and smaller radius = 4 cm

So, as per the problem, mechanical advantage will be 20/4 = 5.

A wheel and axle must be permanently joined in order to be considered a simple machine, and the wheel must by definition have a bigger radius than the axle. A point on the wheel moves a distance of 2 R whereas a point on the axle moves a distance of 2 r when you turn the wheel through a full revolution, which likewise causes the axle to turn through a full revolution.

The force you apply F R times the distance the point moves equals the effort W required to move a point on the wheel through one full revolution. Work is energy, and since energy must be conserved, a point on the axle must be subjected to a larger force F r because it moves a shorter distance.

The mathematical relationship is:

W = Fr (subscript) ×2πr/θ =F r(subscript) ×2πR/θ

Where ​θ​ is the angle that the wheel is turned.

And therefore:

Fr(r in subscript) / FR(R in subscript) = R/r

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Answer:

0 ms-1

Explanation:

This is a trick question.

* Don't be confused with average speed with average velocity

Since the runner ends in the same spot as she started,

the total displacement covered by the runner is zero.

Since  average velocity = total displacement/total time,

As total displacement is zero ,

average velocity = 0 / 50  ms-1

                            = 0 ms-1

1 kilogramme of coal can provide 8 kWh of heat, hence power output here =30x8x10e6/1day =30x8x10e6x24 hours=2.7e15 joules

what is coal used for ?

In the United States, coal is largely utilised as a fuel to create electricity. Bituminous coal, subbituminous coal, or lignite are burnt in coal-fired power plants. The heat generated by coal combustion is utilised to turn water into high-pressure steam, which powers a turbine and generates electricity. According to the US Energy Information Administration, coal-fired power stations provided around 23% of all energy in the United States in 2019.

Steel may also be made from certain kinds of bituminous coal. Coal used to make steel must have a high carbon content while being low in moisture, ash, sulphur, and phosphorus. Metallurgical coal is coal that fits certain requirements.

1 kilogramme of coal can provide 8 kWh of heat, hence power output here =30x8x10e6/1day =30x8x10e6x24 hours=2.7e15 joules

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Answer:

C. A turtle relies indirectly on the Sun as an energy source.

Explanation:

Turtles are animals, meaning they are unable to perform photosynthesis, thus option A is inapplicable. Turtles consume food such as algae and seagrass. These aquatic plants gain their energy directly from the Sun through photosynthesis, and as a result when the turtle consumes these plants, that energy from the Sun is indirectly feeding the turtle.

Deoxyribonucleic acid is a polymer composed of two polynucleotide chains that coil around each other to form a double helix.

A nonsense mutation occurs in the DNA when a sequence changes itself and gives rise to a stop codon rather than a codon specifying an amino acid. The presence of the new stop codon results in the production of a shortened protein that is non-functional.

A nonsense mutation is also known as base substitution which results in a stop codon in such a position from where there was not one before, which causes the premature termination of protein synthesis and, more than likely, a complete loss of function in the finished protein.

So we can conclude that a nonsense mutation always causes a loss of amino acids.

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As the values are closed to each other, Jane's measurements are precise.

The precision of a substance is defined as the degree to which two or more measurements agree with one another.

It is incredibly precise but not always accurate to measure something if you measured it five times and get around 1.50 cm each time. Accuracy is not necessary for precision. There are various categories of precision:

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In this spring-mass system, the total energy equals the elastic potential energy at the moment the mass is temporarily at rest at x = A = 6 cm (i.e., at the extreme ends of the simple harmonic motion).

Thus, E kA2 2 and we see that as long as the spring constant k and the amplitude A remain unchanged,

the total energy is unchanged. Hence, the energy is still 12 J.

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The velocity at Point P is 1.72 x 10^(6) m/s.

Mass of proton is Mp = 1.67x10^(-27)

Initial velocity Vo = 2.1x10^6 m/ s

As the proton is moving its Total energy should remain constant throughout the motion to point P.

Conserving the energy,  

Initial energy = Final energy

(1\2)MpVo^2 + (kQ1Q2)/R1 = (1/2)MpV^2 +(kQ1Q2)/R2  

Given R1 = 3.0 mm  

R2 = 4.0 mm  

2kQ1Q2( 1/R1 - 1/ R2) = Mp( V^2 - Vo^2)

2x9x10^9x(-10x10^(-9))x1.6x10^(-19) x {(1000/3)-(1000/4)} = 1.67x10^(-27){ V^2 - Vo^2}  

-2.4x10^(-15) = 1.67x10^(-27){V^2- Vo^2}  

-1.44x10^12 + Vo^2 = V^2  

-1.44x10^12 + (2.1x10^6)^2. = V^2  

2.97x10^(12) = V^2

V = 1.72x10(^6) m/s  

Hence velocity at Point P is 1.72 x 10^(6) m/s.

Proton's speed is dependent on a variety of factors, such as its energy and environment. When protons are released from an accelerator, their speed can be as high as nearly the speed of light, or roughly 300 million meters per second. When protons are found in an environment such as space or the Earth’s atmosphere, their speed is much lower.

In space, protons typically move at around 100 km/s or 0.1% of the speed of light. Within Earth’s atmosphere, protons tend to move much slower, usually around 10 km/s. In the upper atmosphere, protons may be accelerated by solar wind or cosmic rays to speeds of up to 400 km/s. Protons may also be slowed down by collisions with other particles, such as electrons or atoms. In general, the speed of a proton is determined by its energy and the environment it is in.

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Complete Question:

A proton follows the path shown in (Figure 1). Its initial speed is

[tex]V_0[/tex] = 2.1x10^6 m/s.

Part A What is the proton's speed as it passes through point P? Express your answer to two significant figures and include the appropriate units.

[tex]V_P[/tex][tex]= ?[/tex]

The possible potential difference between the truck's top and bottom side panels is 1.39 x 10^-4 V.

The potential difference between two points in an electric circuit is given by the product of the magnetic field, the cross-sectional area of the conductor, and the component of velocity perpendicular to the magnetic field.

The potential difference between the top and bottom of the truck's side panels can be calculated using the following formula:

V = Blv

Where:

V = potential difference (V)

B = magnetic field (T)

l = length of conductor (m)

v = velocity of conductor perpendicular to the magnetic field (m/s)

Given that the magnetic field is B = (5.0 x 10^-5 T, north) and the truck is moving west at 50 km/hr = 13.89 m/s, the potential difference between the top and bottom of the truck's side panels can be calculated as:

V = Blv = (5.0 x 10^-5 T) * (2.0 m) * (13.89 m/s) = 1.39 x 10^-4 V

It is important to note that the magnetic field is pointing north and the truck is moving west, so the velocity of the truck is perpendicular to the magnetic field, which means that the potential difference is not zero. Also, it is important to note that the velocity of the truck is given in km/hr and needs to be converted to m/s before using it in the equation.

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The heat energy of the substance option (A) -1700J is correct.

We are given that,

Heat of fusion of a substance = ΔHf = 42.5J/g

Mass of the substance = m= 40g

The latent heat of fusion is the quantity of heat required to transform one gramme of a substance from a solid to a liquid. But in this case, it's important to figure out how much heat is released as liquid copper solidifies. So, ΔHf = -42.5 J/g

Thus , we have to calculated here the heat energy of the substance by the formula,

q = m·ΔHf

Where, q is heat energy ,m is mass ΔHf is the heat of fusion of a substance,

q = m·ΔHf

q = -42.5 J/g× 40g

q = -1700J

Therefore , the heat energy of the substance would be option (A) -1700J

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The continuous acceleration needed to raise a car's speed from 23 mph to 53 mph in four seconds is

The direction of a body or object's movement is defined by its velocity. In its basic form, speed is a scalar quantity. In essence, velocity is a vector quantity. It is the speed at which distance changes. It is the displacement change rate. Acceleration is the rate at which speed and direction of velocity vary over time. A point or object going straight ahead is accelerated when it accelerates or decelerates.

starting speed is 23 m/h, or 0.0063 m/s.

ultimate speed is 53 m/h, or 0.0147 m/s.

(Final velocity - Initial velocity) / Time = acceleration

= (0.0147 - 0.0063) / 4

= 0.0021m/[tex]s^{2}[/tex]

The acceleration required to increase the speed of a car is 0.0021m/[tex]s^{2}[/tex]

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Displacement is a vector quantity thus, having different directional component. The component of the given displacement to the north is 98.99 m.

The displacement is the measure of how long and in which direction an object is moved from the starting position. Displacement is a vector quantity thus, characterized by a magnitude and direction.

In physics, displacement is the product of velocity and time. The vertical component of the displacement = d sin θ

horizontal component = d cos θ.

The component to the north for a displacement of 140m with the angle of 45° is = 140 × sin 45 = 98.99 m.

Therefore, the north component of the displacement is about 99 m.

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These graphs do not consistent with one another because one is graph of potential energy U(x)  vs distance(x)  and two is graph of force (F(x)) vs distance(x).

Potential energy in physics is the energy that an item retains as a result of its position in relation to other objects, internal tensions, electric charge, or other elements.

Now, if a force F(x) is applied on an object, that caused a displacement of the object a distance x. Then potential energy of the object is:

U(x) = ∫ F(x)dx.

Hence, U(x) ≠ F(x)

That's why, these graphs  do not consistent with one another.

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The total energy of the skier at the beginning of the slope is 63360 J.

Total energy is the sum of all the energies of a system, including thermal, mechanical, electrical, and chemical. It is the measure of the capacity of a system to do work. It can be expressed as the product of the mass of the system and its velocity squared.

The kinetic energy of the skier at the beginning of the slope is given by the equation KE = .5mv^2, where m is the mass of the skier (in kilograms) and v is the velocity of the skier (in meters per second).

The kinetic energy at the beginning of the slope is (0.5)(72kg)(0m/s)^2 = 0 J. Since the skier was 90 meters high, we can assume a gravitational potential energy of (90m)(9.8m/s^2)(72kg) = 63360 J.

Therefore, the total energy of the skier at the beginning of the slope is 63360 J.

At the end of the slope, the skier converts the energy into sound and heat energy. The sound energy of 64 J is given. Therefore, the heat energy must be 63360 - 64 = 63296 J. This is the amount of energy converted to heat energy from the collision.

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The wavelength of the electromagnetic radiation needed to remove an electron from the valence shell of an atom of the element is 2.7522m.

The electromagnetic (EM) field's waves, which travel across space carrying momentum and electromagnetic radiant energy, make up electromagnetic radiation (EMR). It consists of X-rays, gamma rays, microwaves, infrared, visible light, ultraviolet, and radio waves. These waves are all components of the electromagnetic spectrum.

We are given that,

Speed of light = c = 299 792 458 m

The frequency of  electron = f = 1.09 × 10⁸ s⁻¹

The following equation can be used to determine the wavelength of a radio wave

Wavelength = λ = c/f

λ = c/f

λ =  299 792 458 m/s/ 1.09 × 10⁸ s⁻¹

λ = 2.7522m

Therefore the wavelength of the electromagnetic radiation would be 2.7522m.

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the amplitude of the resultant is the amplitude of the two original waves times 1.85.

The waves add together as a result, and the amplitude at any place is equal to the sum of the amplitudes of the individual waves at that point.

The frequency of the wave produced by the superposition of two waves with comparable frequencies is equal to the average of the two. This wave's amplitude changes or beats at a frequency known as the beat frequency. By mathematically combining two waves, we can find the beat frequency.

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The amount of matter a body's mass is the volume of matter abody's mass. Weight is the gravitational force that pulls on the body.

The relationship between mass and weight: Mass is a measure of inertia, whereas weight is a measure of force.

Both of these names are frequently used in the same sentence. In order to determine how much matter a body is made up of, its mass is used as mode of measurement.

The acceleration which is caused by gravity on any mass is measured in terms of weight.

Mass is a measure of the quantity of matter in a material, whereas weight measures how the force of gravity acts upon a mass.

In order to determine how much matter a body contains, its mass is used.

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A camera that draws certain current with specified resistance needs a voltage supply which is calculated to be 18 V.

Given that,

Current i = 0.25 A

Resistance r = 72 ohms

Voltage supply v = ?

From Ohm's law, it is defined that, voltage across the conductor is directly proportional to the current flowing through it. Mathematically, it is represented as v = i r

where,

v is the voltage

i is the current

r is the resistance

Putting in the values, we have,

v = i r

v = 0.25 × 72 = 18 V

Thus, the required voltage supply by the camera is calculated to be 18 V.

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If the motion of a particle is described by x=10 sin2t+8cos2t then the period , amplitude and phase angle will be:-

Period of the function is given by the reciprocal of the frequency, which is 1/2. Thus, the period is T = 2/1 = 2.

The amplitude of the function is given by the maximum value of the function minus the minimum value of the function. The maximum value of the function is 10 + 8 = 18 and the minimum value of the function is -10 + 8 = -2. Thus, the amplitude is A = 18 - (-2) = 20.

The phase angle is given by the angle between the x-axis and the line representing the function. The function is a combination of sine and cosine functions, so the phase angle is given by the angle between the x-axis and the line y = 10x + 8. The slope of this line is 10, so the phase angle is tan^-1(10) = 84.3 degrees.

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the linear charge density of the infinite line of charge is 5 x 10^-6 C/m.

The linear charge density (λ) of an infinite line of charge is a measure of the charge per unit length. It is given by the equation:

λ = E / k. Where E is the electric field strength at a given point and k is the Coulomb's constant (9 x 10^9 N m²/C²). We know that the electric field strength at a distance of 2.0 m from the line of charge is 4.5 x 10^4 N/C. So we can substitute these values into the equation above to find the linear charge density:λ = (4.5 x 10^4 N/C) / (9 x 10^9 N m²/C²) λ = 5 x 10^-6 C/m Therefore, the linear charge density of the infinite line of charge is 5 x 10^-6 C/m. This means that there is 5 x 10^-6 Coulombs of charge per meter of length on the line of charge.

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The kinetic energy will the ball acquire from the bat is 1.0x10^1 joules or 100 joules. This calculation is based on the equation Energy = Force x Distance, which is a fundamental equation of physics.

The kinetic energy of the ball is equal to the work done by the bat on the ball. The work done by the bat on the ball is equal to the force applied by the bat multiplied by the distance the bat stays in contact with the ball. Therefore, the kinetic energy of the ball would be equal to 2.0x10^4 newtons multiplied by 5.0x10^-3 meters, which is equal to 1.0x10^1 joules or 100 joules.

This calculation is based on the equation of  Energy which is  Force x Distance. Additionally, this equation can be rearranged to solve for any of the variables, depending on what is known and what needs to be calculated. In this case, the known variables were the force applied by the bat and the distance the bat stayed in contact with the ball, and the variable that needed to be calculated as the kinetic energy of the ball.

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From the given data, the speed of the tsunami is 789.8 km/h.

The speed of the tsunami is calculated from the relationship between distance travelled by the wave and the time of motion of the wave.

Mathematically, this formula is given as;

v = d / t

where;

From the given data, the speed of the tsunami is calculated as follows;

v = ( 3607 km ) / ( 4.567 hr )

v = 789.8 km/h

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When Justine is ice-skating, her final velocity if she accelerates at a rate of 2.0 m/s² for 3. 5 seconds is 7 m/s and it would take Jesse 5.4 seconds to stop the bicycle moving at an initial velocity of 13.5 m/s by accelerating at -2.50 m/s².

To find Justine's final velocity, we can use the equation:

v = u + at

where v is the final velocity, u is the initial velocity (which is assumed to be 0 in this case), a is the acceleration, and t is the time. So

v = 0 + (2.0 m/s²) × (3.5 s) = 7.0 m/s

To find the time it would take for Jesse to bring his bicycle to a stop, we can use the equation:

v = u + at

where v is the final velocity (which is assumed to be 0 m/s in this case as bicycle is brought to a stop), u is the initial velocity, a is the acceleration, and t is the time.

Given that a = -2.5 m/s² (negative sign indicates deceleration) and u = 13.5 m/s.

so t = (v - u) / a = (0 - 13.5 m/s) / -2.5 m/s² = 5.4 seconds

It would take Jesse 5.4 seconds to bring his bicycle to a complete stop.

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If a circular motion is accelerated, it will undoubtedly have a high Turning at a rapid rate.

When an object travels along a circular path at a constant speed, it is said to be in uniform circular motion (UCM).So because object's direction was constantly shifting, the velocity doesn't really remain constant along with the speed.To maintain a circular course, the object must speed up toward the the circle's center.

As the particle moves in a circle, its direction of acceleration is continuously changing since it is continually moving toward the center.As a result, it is variable.

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The horizontal displacement of the cannonball  is  65.75 meter.

Speed is characterized as the rate at which an object's position changes in any direction. The distance travelled in relation to the time it took to travel that distance is how speed is defined. Due to having no direction and only having magnitude, speed is a scalar quantity With SI unit meter/second.

original speed: u= 35.9 m/s.

acceleration due to gravity: g = 9.8 m/s².

Initial height of the cannonball = 166 m.

Hence,  the horizontal displacement of the cannonball = u²/2g

= 35.9²/(2×9.8) meter

= 65.75 meter.

so, the displacement of the cannonball  is  65.75 meter.

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