what is the acceleration of a proton moving with a speed of 8.0 m/s at right angles to a magnetic field of 1.8 t ?

The wavelength of the radiation is 2.93×10⁻⁷ m

Given,

The energy of photon E=6.78×10⁻¹⁹

now, E=hc/λ

λ=hc/E

=6.626×10⁻³⁴×3×10⁸/6.78×10⁻¹⁹

=2.93×10⁻⁷ m

Radiation is the emission or transmission of energy through a material medium or across space in the form of waves or particles.

According to the energy of the radiated particles, radiation is frequently classified as either ionizing or non-ionizing. Ionizing radiation has an energy level of more than 10 eV, which is sufficient to ionize atoms and molecules as well as rupture chemical bonds. Due to the significant difference in how destructive it is to living things, this is a crucial distinction. Ionizing radiation is frequently produced by radioactive substances that release radiation in the form of helium nuclei, electrons or positrons, or photons, respectively.

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The electric field should be applied is 3,694.5 .

As we know from electromagnetic theory we have a relation with electric field and magnetic field with force, which is

F = qE + qv x B

or we can write that

F = qE + qvBsinФ

To allow proton to move with the constant speed, we need to apply zero external force

It means F = 0

or we can write that

qE = -qvBsinФ

putting the appropriate values, we get

E = 4105 x 0.9

E = 3,694.5

Hence the magnitude of the electric field is 3,694.5 .

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3rd and 6th row in second table do not agrees with the equation ( Force = mass * acceleration ) , rest follows the equation

There is a relation between force , mass and acceleration of the body , in a such a way that it agrees with newton's third law which is  Force = mass * acceleration

All the given data in the table follows this relation except where

mass = 150 kg

a = 0.67 [tex]m/s^{2}[/tex]

F (given ) = 100 N

calculated force = ma = 150 * 0.67 =  100.5 N

mass = 300 kg

force (given) = 100 N

a = 0.33 [tex]m/s^{2}[/tex]

calculated force = ma = 300 * 0.33 = 99 N

rest of the data completely follow the equation F = ma

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The dielectric constant of the wax is 4.

The energy stored in a capacitor is proportional to the square of the charge divided by the capacitance but doubling the plate spacing halves the capacitance. Capacitance is directly proportional to the electrostatic force field between the plates. This magnetic field gets stronger the closer the plates are to each other. Therefore, the capacitance increases as the distance between the plates decrease.

Therefore, we can conclude that doubling the area and distance between the plates of a parallel plate capacitor does not change the capacitance. A capacitor consists of two conductive plates separated by an insulator and is used to store an electrical charge. When you apply a voltage to a capacitor, one plate will be negatively charged and the other plate will be positively charged.

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The graph of the vertical component of the ball's velocity is in the attachment

Speed is the distance moved per unit time.

Velocity is the total displacement per unit time of an object.

Since a 0.1 kg ball is kicked from the edge of a cliff so that it attains a launch speed of 20 m/s at an angle of 37 to the horizontal, as shown above. To determine the vertical component of velocity,we use the equation of motion

v = u - gt where

So, substituting the values of the variables into the equation, we have

v = u - gt

v = u'sinФ - gt

v = (20 m/s)sin37° - (9.8 m/s²)t

v = (20 m/s) × 0.6018 - (9.8 m/s²)t

v = 12.04 m/s - (9.8 m/s²)t

So, for the first 3 seconds, we have

for t = 0 s

v = 12.04 m/s - (9.8 m/s²) × 0 s

v = 12.04 m/s - 0 m/s

v = 12.04 m/s

for t = 1 s

v = 12.04 m/s - (9.8 m/s²) × 1 s

v = 12.04 m/s - 9.8 m/s

v = 2.24 m/s

for t = 2 s

v = 12.04 m/s - (9.8 m/s²) × 2 s

v = 12.04 m/s - 19.6 m/s

v = -7.56 m/s

for t = 3 s

v = 12.04 m/s - (9.8 m/s²) × 3 s

v = 12.04 m/s - 29.4 m/s

v = -17.36 m/s

So, we plot the graph of the vertical component of the ball's velocity using the equation v = 12.04 m/s - (9.8 m/s²)t

Find the graph in the attachment

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The acceleration of gravity is 9.81 m/s 2 . answer in units of n. The minimum force required was 93.20N.

What is force?

Force is a quantitative representation of an interaction that creates a change in the motion of an item. In reaction to a force, an item may accelerate, slow down, or change direction. In other words, force is any action that tends to maintain or alter the motion of a body or distort it.

Total mass=56Kg

tied radius=0.060m

turning radius=0.35m

g=9.81m/s2

T=0.35F

where F is the force that we want

W=mg

=68Kg

W(0.060)=T=0.35F

0.060/0.35=0.171

F=0.171W

0.171(56)=9.576Kg

=93.20N

So here by the force required is=93.20N

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Based on the value of the mass of the tool and the force of gravity on that planet, the gravitational acceleration of the planet is 7.8 m/s².

The mass and force of gravity acting on a body are related by the formula given below:

Force of gravity = mass * gravitational acceleration

The mass of a body is constant but the force of gravity acting on a body or the weight of the body varies depending on the value of the gravitational acceleration.

Considering the given values:

Mass of tool = 2.5 kg

Force of gravity acting on the tool = 19.5

gravitational acceleration = 19.5 / 2.5

gravitational acceleration = 7.8 m/s²

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The distance x must be 7.92 m for the crane to be balanced according to principle of conservation of energy.

The distance x can be determined by applying the principle of conservation of energy as shown below.

According to this principle of conservation of energy;

the input work (energy) = output work (energy)

F₁d₁ = F₀d₀

where;

(4400) x (9) = 5000x

39600 = 5000x

x = 39600/5000

x = 7.92 m

Thus, the crate a balanced condition, the output work must be equal to the input work.

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We can assume that man-hour is a unit of power. Both man-hour and kilowatt-hour are units for power. The difference between them is that the second one can be quantified while the first one cannot.

Power has a wide range of meanings in everyday life, but in physics, it has a very specific meaning. Power is defined to be work over elapsed time. This can be mathematically expressed as P = W/t where P is power, W is work, and t is elapsed time.

If work is done faster, the power is higher. Power is smaller when work is done slower.

The standard unit used to measure power is watt (symbolized W, not to be confused with work which is a quantity, not a unit). 1 kilowatt-hour is equal to 1,000 watts. Another widely-used unit of power is the horsepower (symbolized hp).

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The time it will take an automobile traveling at 62.5 km/h to become even with a car that is traveling in another lane at 41.0 km/h if the cars' front bumpers are initially a distance of 114 m apart is 19.1 seconds.

The time that it will take for the two cars traveling to at the same distance can be calculated below as follows:

Let the time it will take the second automobile be T.

the distance traveled by first car = d

distance traveled by second car = d + 114 m

Time taken by first car = d / 41.0

Time taken by second car = d + 114 / 62.5

The two times are equal, hence;

d / 41.0 = d + 114 / 62.5

41d + 4674 = 62.5d

21.5d = 4674

d = 217.4 m or 0.2174 km

distance traveled by second car = 0.2174 + 0.114

distance traveled by second car = 0.3314

Time taken by second car = 0.3314 / 62.5

time taken by second car = 0.0053 hours or 19.1 seconds

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Both depths will take the same amount of force to hold the apple underwater.

Both depths will take the same amount of force to hold the apple underwater. Although the pressure on the top of the apple will also increase as the depth does, the pressure on the bottom of the apple will be greater. No of the depth, the net difference will remain the same. The force will therefore remain constant.

Science has a precise definition for the word "force." A force of this magnitude can be described as either a push or a pull. A force is not something that an object "has in it" or "contains." A force from another object can affect something else. The idea of a force does not distinguish between living and non-living things.

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Ganymede is one of the biggest satellites in the solar system.

All four satellites have the core but the Callisto has the smallest core.

Ganymede is the only moon known to have its own magnetic field, discovered in 1996 by NASA's Galileo spacecraft. Magnetic fields cause auroras, bands of hot, electrically charged, glowing gas in the regions orbiting the Moon's north and south poles.

Callisto is his second-largest moon on Jupiter and his third-largest moon in the solar system. Its surface is the most cratered body in the solar system. An image of Callisto taken from a passing spacecraft shows bright white patches contrasting with dark areas

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If a girl is sitting on box and the girl weighs 10kg and the box weighs 50 kg, 30.61 N force will be needed to accelerate the box 5 m/s2

Total weight = 10 + 50 = 60 kg

weight = mg

60 = m * 9.8

m = 6.122 kg

Force = ?

acceleration = 5 [tex]m/s^{2}[/tex]

Force = mass * acceleration

        = 6.122 * 5 = 30.61 N

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The image screen is 10.5 cm from the lens.

The focal length of the lens is 10.0 cm, so once the lens focuses, it will be 10.0 cm from the object. In order to find how many centimeters away from the lens the image screen is, we need to use trigonometry and Pythagorean theorem.

Where x is the distance between our object and our projector in meters, and y is the distance between our projector and our image screen in meters. We know that y = 10.5 cm, or 0.105 m; we also know that x = 0 meters because our object is placed directly on top of our projector (therefore it's at 0 m).

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The average power input to the wheel during this time interval is (Iω²) / (2T).

option D is the correct answer

The average power input to the wheel during this time interval is the rate at which work is done by the wheel or the rate at which energy is expended.

Mathematically, the formula for average power is given as;

P = energy / time

Based on work - energy theorem,

work done by the wheel = change in energy of the wheel

Energy of the wheel due to the rotational torque is given as;

E = ¹/₂Iω²

where;

Power = E/T

power = (Iω²) / (2T)

where;

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Yes, a spectrophotometer can be used to measure the absorption of a particular wavelength of light that is not visible to the human eye.

A spectrophotometer is an instrument used to measure the intensity of electromagnetic radiation at different wavelengths.

Spectrophotometry is a standard biological technique used to measure light absorption or the amount of chemicals in a solution. This technique uses a light beam which passes through the sample, and each compound in the solution absorbs or transmits light over a certain wavelength.

Spectrophotometry is the quantitative analysis of electromagnetic spectra by use of a spectrophotometer; especially in order to determine the structure or quantity of a substance.

Using the spectrophotometer, absorption of light can be measured, even if we cannot observe it unaided.

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3848 J work has to be done to stop the bull.

The kinetic energy of an item is the energy that it possesses due to its movement. it's miles defined because the work had to accelerate a body of a given mass from relaxation to its said velocity. Having won this power in the course of its acceleration, the frame continues this kinetic energy unless its velocity adjustments.

Kinetic energy is the electricity an item has due to its movement. If we need to boost up an item, then we have to apply pressure. applying a force requires us to do paintings. After paintings have been achieved, strength has been transferred to the item, and the item may be transferred with a new consistent speed.

Calculation:-

work done = change in kinetic energy

                   = final kinetic energy - initial kinetic energy

                   = 1/2mVf²  - 1/2mVi²

                    = 0 - (3,848 )

                     = 3848 J

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The relationship between gauge pressure and true pressure is Pg + Patm = Pabs

The pressure that is relative to atmospheric pressure is known as gauge pressure. Gauge pressure is regarded to be positive for pressures above atmospheric pressure and stated to be negative for pressures below atmospheric pressure. Atmospheric pressure is used as the reference point for gauge pressure.

It is possible to define gauge pressure as the difference between absolute pressure and atmospheric pressure.

Pg + Patm = Pabs

A pressure gauge is a device used to measure the pressure exerted by a fluid, which can be liquid or gas, per unit area. This pressure is expressed in terms of Newton per square meter or pounds per square inch. Absolute pressure is denoted as Pabs, atmospheric pressure as Patm, and gauge pressure as Pg.

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The magnification of an astronomical telescope is  -27.24    .

The magnification of a telescope is actually a relationship between two independent optical systems: the telescope itself and the eyepiece that is being used.

Focal length of the telescope = T = 79 cm = 790mm

Focal length of the eyepiece = E = 2.9 cm = 29mm

M = -[tex]\frac{T}{E}[/tex]

M = -[tex]\frac{79}{2.9}[/tex]

M = -27.24    

Therefore, the magnification of an astronomical telescope is  -27.24.

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Answer:

Explanation:

Given:

m = 0.005 g = 5·10⁻⁶ kg

R = 3 m

__________

J - ?

J = m·R² = 5·10⁻⁶·3² ≈ 45·10⁻⁶ kg·m²

Answer:

The snapshot of idleness of given point mass still up in the air by,

Where,

- snapshot of idleness

- mass = 0.005 g = ( 0.005/1000 ) = 5 × 10⁻⁶ kg

- opposite distance = 3 m

Put the qualities in the equation,

Hence; the snapshot of idleness of given point mass is 4.5 × 10⁻⁵ kgm².

To find out about snapshot of idleness,

Explanation:

Snapshots of dormancy can be found by adding or coordinating over each 'piece of mass' that makes up an article, increased by the square of the distance of each 'piece of mass' to the hub. In vital structure the snapshot of latency is I=∫r2dm I = ∫ r 2 d m .

For a planar item, the snapshot of idleness about a hub opposite to the plane is the amount of the snapshots of dormancy of two opposite tomahawks through a similar point in the plane of the article. The utility of this hypothesis goes past that of computing snapshots of rigorously planar items.

Picture result for track down the snapshot of idleness of a mark of mass of 0.005g at an opposite distance of 3m from its hub of revolution.

What is snapshot of inactivity of an empty circle about a hub going through its middle ? Arrangement : 'I = (2)/(3) MR^(2)', where 'M' is the mass and 'R' is sweep of the empty circle.

Due to the fact that kinetic energy is proportional to the square of the speed, doubling the speed results in a four-fold increase in kinetic energy.

As a result, the object's kinetic energy doubles to become four times as much as its initial kinetic energy when its speed doubles.

Speed squared determines kinetic energy. The kinetic energy of an item increases by a factor of four with speed.

Because an object's motion is dependent on both its velocity and its mass, though velocity plays a larger role in motion.

Thus, the relationship between kinetic energy and mass and velocity is direct. Since kinetic energy is exactly proportional to both the square of velocity and mass, its value increases by an order of eight.

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All lines carrying current to and from a motor are passed through the window of a specialized current transformer known as a ground fault sensor in order to detect ground fault current.

Ground fault relays (or sensors) are used to detect ground faults with low magnitude. The control system instructs the circuit disconnect to open when the G.F. relay pick up setting is reached by the ground fault current magnitude and time.

An overvoltage relay can therefore be fitted to either directly monitor the voltage at the wye point or to detect the secondary voltage of a transformer that has been installed between the wye point and ground in order to identify the fault

No appreciable current will be created in the sensor secondary if all of the current to the motor returns through the lines in the sensor window.

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a) The interval with the greatest rate of change is between the points (4.9, 40) and (5.6, 50).

b) This rate in the above interval was of 14.3 m/s.

The average rate of change of a function is obtained by the change in the output divided by the change in the input. Hence, over an interval [a,b], the average rate of change is obtained as follows:

[tex]r = \frac{f(b) - f(a)}{b - a}[/tex]

For each interval, the rates are given as follows:

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The relative velocity of the plane with respect to the ground will be 72.57 at an angle of tan⁻¹(0.25) from the north.

The speed of the airplane when there is no wind is 70 m/s in the north direction.

The speed of the wind is 18m/s related to the ground in the direction of West.

As we know, that both west and north are perpendicular to each other, the resultant speed by the observer on the ground will be observed in the direction of the resultant of both the speeds.

Let us say that we is the resultant of both the speeds,

Because the two speeds are perpendicular to each other the resultant is given by,

R = √((70)²+(18)²)

R = 72.27m/s.

The angle with north,

Tan A = 18/70

Tan A = 0.25

So, the speed of the airplane from the ground will be observed as 72.27 degrees and at an angle of tan ⁻¹(0.25) from the north.

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The work done by the tension in the string on the ball - tension does no work at all is the correct answer.

The forces tugging on the rope from either end cause the tension in a particular strand of string or rope. Keep in mind that force is defined as mass times acceleration. If the rope is stretched tightly, any change in the mass or acceleration of the objects it is supporting will result in a change in the tension of the rope.

A force known as tension is particularly effective on medium-length materials like rope and cable that are also flexible. A gravitational force still exists in tension. When the body is traveling upward, the tension is denoted by the formula T = W + ma. The thickness is the same as T = W - ma when the body descends.

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Answer:

4,275

Explanation:

formula:1/2mv square

1/2×190×45=4,275

Her speed be at 490 m will be 226 m/s

Calculation

a) initial height, [tex]h_{i}[/tex] = 3100 m

[tex]h_{f}[/tex] = 490 m

time taken, t

Using the second equation is motion

3100–490 = 0.5 × 9.8 ×[tex]t^{2}[/tex]

solving for t

t = 23.07 s

b) let the speed is u

u =[tex]\sqrt{2*g*(h_{i} -h_{f} )}[/tex]

u = [tex]\sqrt{(2*9.8 * (3100-490))}[/tex]

u = 226 m/s

Hence, her speed is 226 m/s

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Her speed be at 490 m will be 226 m/s.

initial height,[tex]h_i[/tex]  = 3100 m

[tex]h_f[/tex] = 490 m

time taken, t

Using the second equation is motion

3100–490 = 0.5 × 9.8 ×

solving for t

t = 23.07 s

b) let the speed is u

[tex]&\mathrm{u}=\sqrt{2 * g *\left(h_i-h_f\right)} \\[/tex]

[tex]&\mathrm{u}=\sqrt{(2 * 9.8 *(3100-490))}[/tex]

u = 226 m/s

Hence, her speed is 226 m/s

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480 W  is the power output of the secondary coil.

primary  coil current = ip = 4A

primary coil  voltage = vp = 120v

power out put of secondary coil

p = vi

   = 120v * 4A = 480W.

Power is the amount of work completed in a given amount of time. Watt (W), which is derived from joules per second (J/s), is the SI unit of power. Horsepower (hp), which is roughly equivalent to 745.7 watts, is a unit of measurement sometimes used to describe the power of motor vehicles and other devices.

The rate at which work is performed on an object is referred to as its power. Power is a temporal concept. It has to do with how quickly a task gets completed. The power equation is described below.

Power = Time + Work

P = W / t

The standard metric unit for power is a Joule/second, which is defined as the product of the standard metric units of work (the Joule) and time (the second).

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The total amount of energy remains the same. It just changes from one form to another as the person swings back-and-forth. Statement (C) is true.

Energy is the ability to perform work in physics. It could exist in several different forms, such as potential, kinetic, thermal, electrical, chemical, radioactive, etc. Additionally, there is heat and work, which is energy being transferred from one body to another.

When Manuel was watching his younger siblings on the swing set; the motion of swinging is a kind  of simple harmonic motion where total energy remains conserved. But kinetic and potential energy are continuously exchanged in simple harmonic motion.

Potential energy is at its peak and kinetic energy is zero when you are farthest from the equilibrium point. The kinetic energy is at its peak and the potential energy is zero at the equilibrium point. The oscillating body's kinetic and potential energy values change at other points in its motion. So, the total amount of energy remains the same. It just changes from one form to another as the person swings back-and-forth.

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The bird's speed immediately after swallowing is 6.91 m/s

The conservation of momentum states that, within a few problem domains, the quantity of momentum remains regular; momentum is neither created nor destroyed, but best modified through the movement of forces as described by means of Newton's laws of motion.

Calculation:-

Mass of bird m₁ = 280 g = 0.28 kg

velocity v₁ = 6 m/s

mass of insect m₂ = 11g = 0.011 kg

velocity = 30 m/s

applying conservation of momentum considering bird and insect as a close system

m₁v₁ + m₂v₂ =  m₁v₁ + m₂v₂ V

V =  m₁v₁ + m₂v₂ /m₁ + m₂

  = (0.28 × 6 + 0.011 × 30) /  0.28 +0.011

  = (1.68 + 0.33) / 0.291

   = 2.01 / 0.291

   = 6.91 m/s

The regulation of conservation of momentum states that in an isolated machine the full momentum of or more bodies appearing upon each other stays regular except an outside force is applied. therefore, momentum can neither be created nor destroyed.

A 'closed device' is something that isn't laid low with outside forces. that is known as the principle of conservation of momentum. Momentum is conserved in collisions and explosions.

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