A 70.0Kg cyclist Rides a 15.0kg
mountain Bike with a Speed of
15m/s Calculate the magnitude
of the momentum of the Bike-rider
system Round your answer to the nearest hundred

Answer:

W = m g h        work that must be done on car

P = W / t       power that must be input (in Watts)

P = m g h / t = 1500 kg * 9.8 m/s^2 * 360 m /  60 sec

P = 88,200 watts

P = 88,200 watts / 746 watts / hp = 118 hp

The horsepower of a 1,500 kg car that can go to the top of a 360 m high hill in exactly 1 min is 118.23 hp.

To find the power, the given values are,

Mass m = 1500 kg

Height h = 360 m

Time t = 1 minute = 60 seconds

g = 9.8 m/s

Power is the amount of work that is done per unit of time. It can be associated with the speed of a change of energy within a system, or the time it takes to perform a job.

There are different types of power,

Formula for Power is,

Power = mgh/t

Power = (1500 x 9.8 x 360)/60

Power = 8.8 x 10⁴ watts

Recall

746watts = 1hp

8 x 10⁴ watts = 8 x 10⁴ / 746

Power = 118.23 hp

Thus, Power was calculated as 118.23 hp.

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Answer:

See below

Explanation:

X component = 120 * cos 35° =  98.298 m/s

Y component = 120 * sin 35° = 68.829 m/s

Any object launched into space with only gravity acting on it is referred to as a projectile. Gravity is the main force affecting a projectile. The x and y components of the velocity vector are 98.298 m/s and 68.829 m/s.

When a particle is thrown obliquely close to the Earth's surface, it travels along a curving route while experiencing constant acceleration. Always pointing in the direction of the Earth's center is this curving path. Such a particle's motion is referred to as projectile motion, and its trajectory is known as the projectile's trajectory.

The components of the projectile are:

X component = 120 × cos 35° =  98.298 m/s

Y component = 120 × sin 35° = 68.829 m/s

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In a spectrophotometer, a prism or diffraction grating separates light into its constituent wavelengths.

To find the answer, we need to know more about the spectrometer.

Thus, we can conclude that, In a spectrophotometer, a prism or diffraction grating separates light into its constituent wavelengths.

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Answer:

The Object distance is 53.125cm. So the right option will be Option (c)

Explanation:

The converging lens has focal length positive, so it means:

            f=17cm

As the real image is formed so the distance of the image will be taken as positive. Let it is represented by q, So:

           q=25cm

Let the distance of object is p, it will obtained from the following formula:

The frequency of the re-emitted light is identical to that of the absorbed light.

To find the answer, we need to know more about the frequency of light.

                              [tex]frequency=\frac{c}{wave length}[/tex] , c is the speed of light.

Thus, we can conclude that, the re-emitted light's frequency matches the absorbed light's frequency.

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An electric device delivers a current of 5.0 A for 10 seconds then the number of electrons flowing through this device would be 3.125ₓ10²⁰

Charged material experiences a force when it is exposed to an electromagnetic field due to the physical property of electric charge. You can have a positive or negative electric charge (commonly carried by protons and electrons respectively). Unlike charges attract one another while like charges repel one another. We refer to an object as neutral if it has no net charge.

Electric current is defined as the charge per unit of time.

The mathematical relation between current and the electric charge

I =Q/T

where I is the current flowing

Q is the total electric charge

T is the time period for which the current is flowing

By using the above relation between electric current and electric charge

I =Q/T

By substituting the values of current and time

5 =Q/10

Q= 50 Coulomb

The charge on one electron is -1.6 ×10⁻¹⁹ coulomb.

The number of electrons = Total charge /charge on the one electron

                                         =50/1.6×10⁻¹⁹

                                          =3.125ₓ10²⁰

Thus, the total number of electrons flowing through the device would be 3.125ₓ10²⁰.

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The length of a box in which the minimum energy of an electron is 1. 1×[tex]10^{-18}[/tex] j will be 74 * [tex]10^{-10}[/tex] m

Energy levels (also called electron shells) are fixed distances from the nucleus of an atom where electrons may be found. As you go farther from the nucleus, electrons at higher energy levels have more energy

Energy levels (also called electron shells) are fixed distances from the nucleus of an atom where electrons may be found. Electrons are tiny, negatively charged particles in an atom that move around the positive nucleus at the center. Energy levels are a little like the steps of a staircase.

One electron volt is the energy that an electron gains when it travels through a potential difference of one volt (1 eV = 1.6 x 10-19 Joules). Electrons in a hydrogen atom must be in one of the allowed energy levels. If an electron is in the first energy level, it must have exactly -13.6 eV of energy.

Energy of an electron in nth shell can be calculated as

E (n) = [tex]\frac{n^{2} h^{2} }{8ml^{2} }[/tex]

energy will be minimum in 1st shell

putting n=1

E (n) = [tex](1)^{2}[/tex] *  [tex](6.63 * 10^{-34}) ^{2}[/tex] / 8 * 9.1 * [tex]10^{-31}[/tex] * [tex]l^{2}[/tex]

1.1 * [tex]10^{-18}[/tex] =  [tex](1)^{2}[/tex] *  [tex](6.63 * 10^{-34}) ^{2}[/tex] / 8 * 9.1 * [tex]10^{-31}[/tex] * [tex]l^{2}[/tex]

length(l)  = 74 * [tex]10^{-10}[/tex] m

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Compare two separate regions of space. the electrical potential energy is the same in both regions. if the amount of charge in one region is larger, then potential in that region must be smaller.

The basic difference between electric potential and electric potential energy is that Electric potential at a point in an electric field is the amount of work done to bring the unit positive charge from infinity to that point, while electric potential energy is the energy that is needed to move a charge against the electric field.

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Answer:

oxygen expanding unjhfyysue hjdbdhdjjhd

Answer:

32 psi to 35 psi.

Explanation:

Normal tire pressure is usually between 32~40 psi(pounds per square inch) when they are cold. So make sure you check your tire pressure after a long stay and usually, you can do it in the early morning.

Answer:

=> Black colour do not reflect the wavelength of light and is a good emitter of heat . This, black is a good absorber of radiation.

Answer:

Black coloured objects absorb all the wavelengths of light and do not reflect any of them. Therefore, it looks black in colour and is considered to be a good absorber and a good emitter of heat. On the other hand, white coloured objects reflect all the light that falls into it and therefore they look white

Current in the inductor, I = 100A

Given,

Magnetic potential energy stored, U= 30 joule

Inductance, L = 6.0 H

Therefore, current in the inductor, [tex]I^{2}[/tex]= (2×30×10^3) ÷ 6

                                                           = 2×5×10^3

                                                           = 10×10^3

                                                   [tex]I^{2}[/tex]       = 10000

                                                   I        = √10000

                                                  I        = 100A

Concept:-

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The statement given about the critical path is true.

To find the answer, we have to know more about the critical path.

Thus, we can conclude that, the statement given about the critical path is true.

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The shortest wavelength in the paschen series= [tex]8.2\times 10^{-7}[/tex] m.

Emission lines for hydrogen occur when electrons drop from some energy level to a lower energy level. To calculate the shortest wavelength in the paschen series we are using the formula,

[tex]\frac{1}{\lambda} =R_{H} (\frac{1}{n_{f}^{2} }-\frac{1}{n^{2} } )[/tex]

Here, we are given,

[tex]R_{H}[/tex]= Rydberg constant=[tex]1.09737 \times 10^{7} m^{-1}[/tex]

[tex]n_f[/tex]= The lower energy level quantum number.=3 (for the paschen series).

n= The quantum number of whichever state the transitions occur from = (for this case of the paschen series).

We have to find the wavelength associated with the photon emitted = [tex]\lambda[/tex] m.

Now we substitute the known values in the above equation, we can find that,

[tex]\frac{1}{\lambda} =1.09737 \times 10^{7} (\frac{1}{3^2 }-\frac{1}{\infty^{2} } )[/tex]

Or,[tex]\frac{1}{\lambda} =1.09737 \times 10^{7}\times \frac{1}{9 }[/tex]

Or,[tex]\frac{1}{\lambda} =1,219,300[/tex]

Or,[tex]\lambda= 8.2\times 10^{-7}[/tex] m

From the above calculation we can conclude that the shortest wavelength in the paschen series is [tex]8.2\times 10^{-7}[/tex] m

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This question is an illustration of the distance postulate.

The distance between any two different points equates to a single positive real integer, according to the postulate of distance.

The full text is: The distance is a positive unique integer between every pair of different locations.

Consider two separate points A and B as an example.

The distance between A and B is the integer that represents the size of A and B.

The positive number (i.e. the distance) between A and B would be:

d= B-A

d = 6 - 1

d = 1

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The pressure drop in pascal is 3.824*10^4 Pascals.

To find the answer, we need to know about the Poiseuille's formula.

                      [tex]Q=\frac{\pi Pr^4}{8\beta l}[/tex]

where, Q is the rate of flow, P is the pressure drop, r is the radius of the pipe, [tex]\beta[/tex] is the coefficient of viscosity (0.95Pas-s for Glycerin) and l being the length of the tube.

                [tex]Q=8*10^{-6}m^3/s\\diameter=30mm, thus,\\r=15mm\\l=100m\\\beta =0.95[/tex]

                [tex]P=\frac{8Q\beta l}{\pi r^4} =\frac{8*8*10^{-6}*0.95*100}{3.14*(15*10^{-3})^4} \\\\P=3.824*10^4Pascals.[/tex]

Thus, we can conclude that, the pressure drop in pascal is 3.824*10^4 Pascals.

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If the magnitude of the sum of two vectors is greater than the magnitude of either vector, then scaler product will always be positive

A vector is a quantity or phenomenon that has two independent properties: magnitude and direction. The term also denotes the mathematical or geometrical representation of such a quantity.

The scalar product of two vectors is the sum of the product of the corresponding components of the vectors. In other words, the scalar product is equal to the product of the magnitudes of the two vectors and the cosine of the angle between them. It is a scalar quantity and is also called the dot product of vectors.

if | a + b | > |a| or |b|

a. b = |a| |b| cos (theta)

since , | a + b | > |a| or |b|

hence, angle between a and b must be less than 90°

since , |a| and |b| are positive

cos (theta ) will also be positive as angle is between 0° and 90°

hence , cos (theta ) will be positive

hence scaler product will always be positive

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120kJ work is generated by a healthy adult who circulates 9L of blood through the brachial artery in 10 min.

A flow rate of 900 mL per minute is equal to a flow of 9 L in 10 minutes.

Additionally, you have 200W of total power generated.

9L Equals 9000 mL

900mL/min x 9,000mL/10min

By multiplying the power (watt) by the time, we can derive the work performed by the adult.

10 min = 600s

200W x 600s = 120 kJ

Hence, the work generated is 120kJ.

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When conducting a hypothesis test there are two possible decisions  that you can make: reject the null hypothesis or fail to reject the null hypothesis.

A statistical hypothesis test is a method of statistical inference used to decide whether the data at hand sufficiently support a particular hypothesis. Hypothesis testing allows us to make probabilistic statements about population parameters.

When conducting a hypothesis test there are two possible decisions: reject the null hypothesis or fail to reject the null hypothesis. You should remember though, hypothesis testing uses data from a sample to make an inference about a population. When conducting a hypothesis test we do not know the population parameters. In most cases, we don't know if our inference is correct or incorrect.

When we reject the null hypothesis there are two possibilities. There could really be a difference in the population, in which case we made a correct decision. Or, it is possible that there is not a difference in the population (i.e.,  is true) but our sample was different from the hypothesized value due to random sampling variation. In that case we made an error. This is known as a Type I error.

When we fail to reject the null hypothesis there are also two possibilities. If the null hypothesis is really true, and there is not a difference in the population, then we made the correct decision. If there is a difference in the population, and we failed to reject it, then we made a Type II error.

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The height of the 500-mb pressure level plotted at North Platte (LBF) in western Nebraska was 5,570 meters  m above sea level.

Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.

Recalling that the heights plotted at individual stations on 500-mb maps are in tens of meters (place a 0 to the right of the three plotted digits).

The coded height at North Platte, in west-central Nebraska, ("557") indicated 500 mb occurred at 5,570 meters above sea level.

Thus, The height of the 500-mb pressure level plotted at North Platte (LBF) in western Nebraska was 5,570 meters  m above sea level.

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The kinetic energy is 1.8 × 10^ -1 J.

Rolling items each rotate and have linear (or translational) movement. consequently, they've both linear and rotational kinetic power. since the rotational kinetic strength of a rolling object depends at the inertia of the item.

The only kinetic energy involved here is rotational kinetic energy.

Kinetic Energy (Rotational) = 1/2Iω²

I = Moment of Inertia of a thin hoop =(Mass)(Radius)2

Mass = 3.0 kg

Radius = 10 cm = 0.10 m

ω = angular speed = 3.5 rad/s

Kinetic Energy (Rotational) = 1/2 * 3 * 12.25 J.

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The Kinetic energy is of thin hoop can be found out using the formulas of Rotational Kinetic Energy. The Kinetic Energy of the hoop is 18.375J.

Rolling items rotate and have linear or translational movement. consequently, they have both linear and rotational kinetic power. Since the rotational kinetic strength of a rolling object depends on the Inertia of the item.

The only kinetic energy involved here is Rotational Kinetic Energy.

Rotational Kinetic Energy = 1/2Iω²

where, I = Moment of Inertia of a thin hoop =(Mass)(Radius)²

              where, Mass of hoop, m = 3.0 kg

                           Radius of loop, R = 10 cm = 0.10 m

                           Angular speed, w= 3.5 rad/s

Since, Rotational Kinetic Energy = 1/2 × 3 × 12.25 J.

             Rotational Kinetic Energy = 18.375J

Hence, Rotational Kinetic Energy is 18.375J

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The hydrogen fusion process will begin after the protostar reaches a temperature of 10 million degrees kelvin, and it will then turn into a stable star.

The interstellar medium can sometimes be gathered into a large nebula, which is a cloud of gas and dust. A nebula can span a number of light years. These nebulae are where gas and dust can combine to produce stars. Until a star can combine hydrogen into helium, it cannot be considered a star. They are referred to as protostars before then. As gravity starts to gather the gases into a ball, a protostar is created. Accrution is the term for this procedure.

Gravitational energy starts to heat the gasses as gravity draws them into the ball's core, which causes the gasses to radiate radiation. Radiation initially just dissipates into space. However, much of the radiation is retained inside the protostar as it draws in stuff and becomes denser, which causes the protostar to heat up even more quickly.

The hydrogen fusion process will begin after the protostar reaches a temperature of 10 million degrees kelvin, and it will then turn into a star.

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The distance between the two adjacent nodes = λ/2.

A periodic wave's wavelength is its spatial period, or the length over which its form repeats. It is a property of both travelling waves and standing waves as well as other spatial wave patterns. It is the distance between two successive corresponding locations of the same phase on the wave, such as two nearby crests, troughs, or zero crossings. The spatial frequency is the reciprocal of wavelength. The Greek letter lambda (λ) is frequently used to represent wavelength. The term wavelength is also occasionally used to refer to modulated waves, their sinusoidal envelopes, or waves created by the interference of several sinusoids.

The distance between the two adjacent nodes = λ/2.

for the standing wave ,the distance between any two adjacent nodes or antinodes is 1/2 λ.

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The acronym FN on a force diagram would represent Normal Force. That is option C.

A force diagram is the type of diagram that illustrates the different types of forces acting on an object.

The types of forces that can be represented by a force diagram include the following:

The normal force (FN) is the force that is acting of the object which is perpendicular to the surface the object is in contact with.

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Answer:

C~

Explanation:

Fn is normal, if it's negative then it's most likely -Fn.

Have a good day.

Answer:

See below

Explanation:

Vertical position is given by

df = do + vo t - 1/2 a t^2      df = final position = 0 (on the ground)

                                           do =original position = 2 m

                                            vo = original VERTICAL velocity = 0

                                            a = acceleration of gravity = 9.81 m/s^2

THIS BECOMES

0 = 2 + 0 * t  - 1/2 ( 9.81)t^2

  to show t = .639 seconds to hit the ground

During this .639 seconds it flies horizontally at 10 m/s for a distance of

      10 m/s * .639 s = 6.39 m

Government  should continue to fund fusion energy research because:

Fusion energy is the energy produced from fusion reactions.

Fusion reactions are a type of nuclear reaction in which small atomic nucleus are fused together to produce larger atomic nucleus with the release of large amounts of energy.

The Sun produces its energy from fusion reactions between hydrogen atoms to produce helium nucleus. This reaction takes place at very high temperatures.

It is important that the government continue to fund fusion energy research because:

In conclusion, the continuous government funding will make it possible to finally discover cheaper and more feasible ways to produce fusion energy.

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A collection of a fixed number of elements (called components) arranged in n dimensions ( n >= 1) is called a(n) n- dimensional array

an array of dimensions gives Information about the material composition for each point in the heterogeneous part is stored in N.

Similar to a one-dimensional array, a two-dimensional array is represented graphically as a grid (or table) with rows and columns.

A big gathering of objects or people is referred to as a "array," especially one that is eye-catching, inspires admiration, or has been arranged in a particular way: The spread of food on the table was magnificent. They were seated in front of numerous microphones and cameras. Related words and phrases are part of the SMART Vocabulary. Things in groups and collections

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Answer:

The energy stored in an inductor is given as:

EL=1/2 LI ²

So, when the current is doubled, the energy stored in the inductor will become 4 times.

9 × 10²¹ electrons flow through a cross section of the wire in one hour.

= 1440 C

= 9 × 10²¹ electrons

Thus, we can conclude that the 9 × 10²¹ electrons flow through a cross section of the wire in one hour.

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