4. at a distance of 7 x 1012 m from a star, the intensity of the radiation from the star is 15.4 w/m2. assuming that the star radiates uniformly in all directions, what is the total power output of the star?

Answers

Answer 1

If the star radiates uniformly in all directions, the total power output of the star is 2.37 x 10²⁷ W.

The formula for the intensity of the light at a distance R from the source of light (which is star in this case) is given by,

I = P/A

I is the intensity,

P is the power,

A is the area.

We can write,

P = IA

Intensity is given to be 15.4 W/m².

A = πR²

Here, we will take the value of R is 7 x 10¹² m.

So,

A = π( 7 x 10¹²)²

Putting the values,

P = IA

P = 15.4 x π x ( 7 x 10¹²)²

P = 2.37 x 10²⁷ W.

The power output of the star is 2.37 x 10²⁷ W.

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Related Questions

9. A machine can't be 100% efficient because
AMachines always experience some non-conservative interactions
BMachines turn potential energy into Kinetic Energy
C Machines always conserve energy, they are always 100% effecient

Answers

Answer:

answer a

Explanation:

while any machine is working, there are some forces (f.e. friction) that are still calculating.

Good luck

What is the minimum number of data points needed to use matrices to find an equation for a circle.

Answers

To find the equation of a circle using matrices, we need at least 3 data points.

The general equation for a circle is given by:

x² + y² + Cx + Dy + E = 0

There are 3 constants in the above equation, C, D, and E. Hence, we need 3 independent equations in order to get unique solution for C, D, and E.

To get 3 equations, we need minimum 3 data points.

Let the data points be: (x₁, y₁) , (x₂, y₂), and (x₃, y₃)

Substitute each data point into the general equation:

x₁² + y₁² + Cx₁ + Dy₁ + E = 0

x₂² + y₂² + Cx₂ + Dy₂ + E = 0

x₃² + y₃² + Cx₃ + Dy₃ + E = 0

The matrix form can be written as:

| x₁   y₁  1 |  | C |         | x₁² + y₁²  |

| x₁   y₁  1 |  | D | =  -   | x₂² + y₂² |

| x₁   y₁  1 |  | E |          | x₃² + y₃² |

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when the moon is directly opposite the sun in the sky, its phase is: when the moon is directly opposite the sun in the sky, its phase is: new. full. waxing or waning gibbous. first or third quarter. waxing or waning crescent.

Answers

A full moon is currently visible in the sky across from our sun.

What is a new full moon?

Half of the moon is visible to us, and the other half is not lit by sunlight until around a week after the new moon. We observe the moon in this phase, sometimes referred to as the first quarter moon, around a week following the new moon.

What is waxing gibbous?

The waxing crescent and illuminated first-quarter moon are visible to the west. Since "gibbous" means "swollen" or "humpbacked," the moon phase that follows the first quarter moon is known as the "waxing gibbous moon." And indeed, it does appear as though the moon is slightly swollen or developing a small hump. You should be aware that the word "waxing" is a synonym for "increasing," which will aid you in remembering that during the waxing phase, we see more and more of the moon every night.

Therefore, the moon currently visible in the sky is a full moon.

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as a meteor moves from a distance of 16 earth radii to a distance of 2 earth radii from the center of earth, the magnitude of the gravitational force between the meteor and earth becomes a) 1/8 as great b) 8 times as great c) 64 times as great d) 4 times as great

Answers

The magnitude of the gravitational force between the meteor and earth becomes 64 times as great when meteor moves from 16 to 2 radii.

What is gravitational force and how it becomes 64 times as great when meteor moves from 16 to 2 earth radii?Gravitational force is the force due to gravity that we experience all through living , the attraction of earth to all the universal substances.Here a meteor moves from a distance of 16 radii to distance 2 earth radii and the magnitude of gravitational force is asked .We will use newton's gravitational force formula : F = Gm1m2/r^2 , where m1 and m2 are the masses of objects and G is gravitational constant and F is gravitational force.Here the F1 would be calculated as : F₁ = F/16² = F/256. And F2 will be calculated as :F₂ = F/2² = F/f.Knowing the value of F1 and F2 , we will take a ratio F2/F1, which equals F2/F1 = 256/4 = 64 times.

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white light containing wavelengths from 410 nm to 750 nm falls on a grating with 7800 slits/cm. how wide is the first-order spectrum on a screen 3.10 m away?

Answers

The fundamental spectrum contains only one wavelength. In this case, the wavelength is 750 nm.

The first-order spectrum of white light is the rainbow pattern that appears when white light is passed through a prism in order of decreasing wavelength.

The minimum distance between two wavelengths that can be distinguished by our eyes is known as the Rayleigh criterion, which is equal to (wavelength)/1 nm = Rayleigh criterion

For example, the Rayleigh criterion for red light is 590 nanometers (nm). Therefore, when white light containing wavelengths from 410 nm to 750 nm falls on a grating with 7800 slits/cm, the first-order spectrum on a screen 3.10 m away.

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a car has a maximum acceleration of 5.8 m/s2 . what will the maximum acceleration be if the car is towing another car of the same mass? neglect the additional friction force. express your answer using two significant figures.

Answers

The maximum acceleration if the car is towing another car of the same mass is 2.8 m/s².

Acceleration is the rate of change of the velocity of an item with appreciation to time. Accelerations are vector portions. The orientation of an item's acceleration is given by the orientation of the net pressure appearing on that object.

Case 1:-

acceleration = force/mass

5.8 = F/m

Let each mass of the car is m

mass of two car = 2m

a = F/2m

So new acceleration will become = 5.8/2

                                                        = 2.8 m/s²

Acceleration is the charge at which velocity modifications with time, in terms of each speed and route. A factor or an object moving in a straight line is accelerated if it quickens or slows down. movement on a circle is extended despite the fact that the rate is consistent because the course is continually changing.

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at its peak, a tornado is 64.0 m in diameter and carries 100 km/h winds. what is its angular velocity in revolutions per second?

Answers

The angular velocity of tornado Which having 64m diameter and having velocity of 100 km/h is 0.138 revolutions per second.

How to calculate angular velocity ?A pseudovector that depicts the rate at which the angular position or orientation of an object varies over time is called an angular velocity or rotational velocity.The pseudovector's direction is normal to the instantaneous plane of rotation or angular displacement, and its magnitude corresponds to the object's angular speed, or the rate at which it rotates or revolves. The right-hand rule is typically used to specify the direction of angular motion.Generally speaking, angular velocity has an angle per unit time dimension. Since the radian is a dimensionless quantity and the SI unit of angular velocity is radians per second, the SI units of angular velocity can be written as s−1. Omega is a common way to represent angular velocity. According to convention, a positive angular velocity denotes a rotation that is counterclockwise and a negative one is clockwise.

Angular velocity  ω=v/r

Where v is linear velocity

r = radius of circle

ω = 100/32

    = 8.29 rpm

Convert to revolutions per second

= 0.138 revolutions per second.

Angular velocity of tornado is 0.138 rps.

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Can you make connections to how we can maximise the energy we receive from light using the principles learnt?

Answers

The energy from the sun can be maximized by the use of a photocell.

How can we maximize the energy from the sun?

We know that energy is the ability to do work. The only source y which energy can be able to enter into the ecosystem is by the energy that comes from the sun. It is the plants that are able to access this energy that comes from the sun and are able to convert it into the form that could be used by living things.

Humans can access the energy that is produced by the sun and then use it to be able to power some devices. This is the origin of the photocells and is a good way to put the solar energy to good use.

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a wheel has moment of inertia 5 cross times 10 to the power of negative 3 end exponent space k g times m squared and is making 20 revolutions per second. the magnitude of torque needed to stop it in 10 s is:

Answers

A wheel has moment of inertia 5 x 10-3 kg m2 and is making 20 revolutions per second. The magnitude of torque needed to stop it in 10s is: 4 π x 10-2 Nm.

The force that may twist an item about its axis is measured as torque. Torque is what causes an object to acquire angular acceleration, just as force is what causes an object to accelerate in linear kinematics. examine the formula. Force times distance equals torque. The same way that force and distance are measured in newtons and meters, respectively, so is torque. The size or magnitude of a mathematical object is a characteristic that defines whether it is bigger or smaller than other objects of the same kind. An object's magnitude is, more properly, the exhibited outcome of an ordering—of the class of objects to which it belongs.

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Demonstrate that change in heat cause change in temperature

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Answer:

Procedure - Take 150g of ice in a beaker and suspend a laboratory thermometer so that the bulb is in contact with ice. Start heating and note the temperature when the ice starts melting. Finally, note the temperature when all the ice is completely melted.

Change in heat causes change in temperature because heat is the transfer of energy from a hotter object to a cooler object, leading to a change in the internal energy of the substance, which in turn affects its temperature.

When heat is added to a substance, its internal energy increases, and the particles in the substance gain kinetic energy, leading to an increase in temperature. The kinetic energy of the particles determines their motion, and as they move faster, the temperature of the substance rises.

Conversely, when heat is removed from a substance, its internal energy decreases, and the particles lose kinetic energy, resulting in a decrease in temperature. As the particles slow down, the temperature of the substance decreases.

The relationship between heat and temperature is described by the specific heat capacity of the substance, which quantifies the amount of heat required to raise the temperature of a given mass of the substance by one degree Celsius. In simple terms, heat is the energy transferred during a temperature change, and the two are intrinsically linked.

In summary, change in heat causes change in temperature because heat is the energy transferred that alters the internal energy of a substance, leading to changes in the kinetic energy and motion of its particles, resulting in temperature fluctuations.

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a spaceship moves at speed 0.5c relative to the earth with its headlight on. what value does an observer on the earth get by measuring the speed of light emitted by spaceship

Answers

1.0c. Light will always propagate through a vacuum at the speed of light “c”.

What is the velocity of a light?One universal physical constant that is significant in many branches of physics is the speed of light in a vacuum, typically abbreviated as c.The exact value of the speed of light, c, is 299,792,458 meters per second (approximately 300,000 kilometres per second; 186,000 miles per second; 671 million miles per hour).The speed at which common matter or energy (and consequently any signal conveying information) can move through space is c, according to the special theory of relativity.Visible light is an example of electromagnetic radiation that moves at the speed of light.Light and other electromagnetic waves appear to propagate instantly for many practical purposes, but their finite speed has noticeable effects for long distances and very sensitive measurements.

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the total rms current of the input current to a rectifier is 5 a. the fundamental current has an rms value of 3a. what is the rms value of the distortion current? idist

Answers

The distortion current is then equal 0.826 A.

The total rms current of the input current to a rectifier is 5 A. The fundamental current has an rms value of 3 A.

The fundamental current and distortion current are both made up of harmonics. We can find their values by taking the square root of their respective rms values:

5 A = 1/√5

= 2.23 A

3 A = 1/√3

= 1.333 A

The distortion current is then equal to 1.333 * √2 = 0.826 A

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an electron and a photon each have a wavelength of 0.200 nm. a. find the momentum and energy of the photon. b. find the momentum and kinetic energy of the electron. ignore relativistic effects for the electron. c. how fast is each one moving?

Answers

a. Momentum is  3.315x [tex]10^{-24}[/tex] kg m/s and energy is  6.21KeV.

b. momentum is 3.315x [tex]10^{-24}[/tex] kg m/s and kinetic energy  0.038 KeV.

c. 3.64x [tex]10^{6} m/s[/tex] fast is each one moving.

a. for photon λp =  0.200 nm

Now, λp = [tex]\frac{h}{p_{p} }[/tex]= [tex]p_{p} = \frac{h}{h_{p} }[/tex] = [tex]\frac{6.63\times 10^{-34} }{0.200\times 10^{-9} }[/tex] kgm/s

                                    = 3.315x [tex]10^{-24}[/tex] kg m/s

                                 [tex]E_{P}[/tex]  = [tex]P_{p} C[/tex] = 3.315x [tex]10^{-24}[/tex]x 3x [tex]10^{8}[/tex]/ 1.6x [tex]10^{-19}[/tex] eV

                                                   = 6.21KeV.

b. λe = 0.200

    [tex]P_{e} =[/tex]λ/λe

         = 3.315x [tex]10^{-24}[/tex] kg m/s

E = [tex]\frac{P^{2} _{e} }{2m} }[/tex] = [tex]\frac{( 3.315)^{2} }{2\times 9.1\times 10^{-31\times 1.6\times10^{-19} } }[/tex]

            = 0.038 KeV

C. [tex]P_{e} = m V_{e}[/tex]

[tex]V_{e} = \frac{P_{e} }{m\\}[/tex]  

    = [tex]\frac{ 3.315\times 10^{-24} kg m/s}{9.1\times 10^{-31} }[/tex]

    = 3.64x [tex]10^{6} m/s[/tex]

What is momentum?

Momentum is a quantity  used to describe the state of motion of an object with  non-zero mass.  Thus, an impulse can be applied to any moving object. Since velocity is considered  a vector, momentum is also considered a vector.  This means that the impulse has a significant magnitude and direction—an impulse indicated by a vector or  arrow.  For example, if a ball of a certain mass moves with a certain speed, it has momentum. When the ball hits the wall, it stops and thus carries its momentum over the wall. Therefore momentum is always conserved.

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What is the acceleration of an object with mass of 42.6 kg when an unbalanced force of 112 N is applied to it?
Responses
A 4771.2 m/s24771.2 m/s 2
B 2.63 m/s22.63 m/s 2
C 0.3800 m/s20.3800 m/s 2
D 69.4 m/s2

Answers

The acceleration of an object with mass of 42.6kg when an unbalanced force of 112 N is applied to it is 2.63m/s² (option B).

How to calculate acceleration?

Acceleration in physics is the amount by which a speed or velocity increases (and so a scalar quantity or a vector quantity).

The acceleration of a moving body can be calculated by dividing the force applied to move the object by its mass as follows:

a = F/m

According to this question, an object with mass of 42.6kg was moved by an unbalanced force of 112 N. The acceleration required can be calculated as follows;

a = 112N ÷ 42.6kg

a = 2.63m/s²

Therefore, 2.63m/s² is the acceleration of the object.

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A Mexican Jumping Bean jumps with the aid of a small worm that lives inside the bean. The bean and the worm have a combined mass of 0.002
kg. The bean can jump to a height of 0.01 m.

a. Calculate the potential energy at the maximum height.

b. Determine the total mechanical energy at the maximum height.

c. Determine the potential energy at a height of 0 m (before it lands).

d. Determine the total mechanical energy at a height of 0 m (before it lands).

e. Determine the kinetic energy at a height of 0 m (before it lands).

f. Calculate the velocity at a height of 0 m (before it lands).

Answers

The potential energy at the maximum height is 0.000196 J, the total mechanical energy at the maximum height is 0.000196 J, the potential energy at a height of 0 m is 0 J, the total mechanical energy at a height of 0 m is 0.0001936 J, the kinetic energy at a height of 0 m is 0.0001936 J and the velocity at a height of 0 m (before it lands) is 0.44 m/s.

What is potential energy?Potential energy is stored energy that depends on the relative positions of the various parts of the system. When a  spring is compressed, its potential energy is increased.A steel ball has more potential energy lifted off the ground than after it hits the ground. Potential energy is the energy stored in an object or matter. This stored energy is based on the position, placement, or state of an object or matter. Rocks at the edge of cliffs have potential energy. Potential energy is converted into kinetic energy when the stone falls. High branches of a tree have potential energy because they can fall to the ground.

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4. A bicycle decelerates due west from 10m/s to rest in 4 seconds and uniformly accelerates due east to reach its original speed in another 4 seconds. A) The acceleration of the bicycle B) I) plot the speed - time li) velocity - time Ii) distance- time iv) displacement - time (v) acceleration - time. From the graph find( c) (I) the distance traveled (ii) the displacement (III) average speed and (iv) average velocity​

Answers

0 m/s² is the acceleration of the bicycle

decelerates due west = velocity/time

decelerates due west =10/4

decelerates due west = -2.5

accelerates = velocity/time

accelerates = 10/4

accelerates = 2.5

net acceleration = -2.5 +.5

net acceleration= 0 m/s²

Acceleration is a vector variable that describes the rate at which an object changes its velocity. An object is considered to be accelerating if its velocity is changing. Occasionally, a moving object can change its velocity by the same amount each second. a moving object whose speed fluctuates by 10 m/s every second. This is referred to as a constant acceleration since the velocity is changing by a fixed amount each second. The difference between an object with a constant acceleration and one with a constant velocity must be understood. Do not be fooled! If an object's velocity changes, whether it does so by a constant amount or a variable amount, then it is accelerating. Furthermore, nothing that is moving at a steady speed is accelerating.

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A student determines the speed of three cars on a straight road.
The student measured the time for the cars to travel 50m.

Answers

Answer:

5.102 m/s

Explanation:

50/9.8=5.102m/s

Which of these is true for both natural and artificial selection?


A. They both occur randomly and spontaneously.

B. They both involve the extinction of unfit species.

C. They both result in the enrichment of certain alleles over others.

D. They both require human involvement to choose the most desirable traits

Answers

Answer:

c is answer

Explanation:

Humans allow only organisms with favorable traits to reproduce. Is this true of natural selection, artificial selection or both? Competition for resources determines reproductive success.

A string is wrapped tightly around a fixed reel that has a rotational inertia of 0. 0352 kg · m2 and a radius of 12. 5 cm. An object of mass 423 g is attached to the free end of the string. With the string vertical and taut, the object is gently released so it can descend under the influence of gravity. As the object descends, the string unwinds and causes the reel to rotate without friction at its axle. What is the speed of the object after it has fallen 1. 25 m?.

Answers

The speed of the object if a string is wrapped tightly around a fixed reel that has a rotational inertia of 0.0352 kg · m² and a radius of 12.5 cm after it has fallen 1.25 m is 1.97 m /s

∑ Fy = m ay

mg - T = ma

m = 423 g = 0.423 kg

g = 9.8 m / s²

( 0.423 * 9.8 ) - T = 0.423 a

4.15 - T = 0.423 a  → ( 1 )

τ = F * ⊥d

τ = I α

α = a / r

τ = Torque

F = Force

⊥d = Perpendicular distance

I = Moment of inertia

α = Angular acceleration

a = Tangential acceleration

r = Radius

I = 0.0352 kg m²

r = 12.5 cm = 0.125 m

F * ⊥d = I α

T * r = I a / r

T = I a / r²

T = 0.0352 a / 0.125²

T = 2.26 a   → ( 2 )

( 1 ) becomes,

4.15 - 2.26 a = 0.423 a

2.683 a = 4.15

a = 1.55 m / s²

v² = u² + 2 a s

v = Final velocity

u = Initial velocity

s = Distance

u = 0

s = 1.25 m

v² = 0 + ( 2 * 1.55 * 1.25 )

v² = 3.875

v = 1.97 m / s

Therefore, the speed of the object after it has fallen 1.25 m is 1.97 m / s

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two skaters, each of mass 50 kg, approach each other along parallel paths separated by 3.0 m. they have opposite velocities of 1.4 m/s each. one skater carries one end of a long pole of negligible mass, and the other skater grabs the other end as she passes. the skaters then rotate around the center of the pole. assume that the friction between skates and ice is negligible. what are (a) the radius of the circle, (b) the angular speed of the skaters, and (c) the kinetic energy of the two-skater system? next, the skat

Answers

The angular speed of the skaters is 0.7rad/s  and the kinetic energy of the two-skater system is 98 J.

Kinetic energy = m[tex]v^{2}[/tex] = 98J

Angular speed = 0.7 rad/s

A force needs to be applied if we want to accelerate an object. We must use effort to apply a force. The object will be moving at a new constant speed once the operation is finished and energy has been transferred to it. Kinetic energy, which is the energy that is transferred and is based on the mass and speed attained, is what causes motion.

It is possible for kinetic energy to move from one item to another and change into other types of energy. An encounter between a flying squirrel and a chipmunk, for instance, might occur. Some of the squirrel's initial kinetic energy may have been passed to the chipmunk after the collision, or it may have been converted to another kind of energy.

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when a variable force is applied to an object, it travels a distance of 5 m. the total work done on the object is given by

Answers

50 Newton is the total work done on the object.

d=5 cm

F= 10 N

work done=Fd

work done=5×10

work done=50 N

When moving an object over a distance, an external force must direct at least a portion of its force in the direction of the displacement. This is referred to as work done in physics. If the force acting along the path is constant, the amount of work can be calculated by multiplying the length of the path by the force's component. The work W is equal to the force f times the distance h to express this idea mathematically, or W = mgh. The work is W = mas if the force is applied at an angle to the displacement.

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a long wire, parallel to the ground, carries a current toward the east in a magnetic field that is directed due south. what is the direction of the magnetic force on the wire?

Answers

A network of metal wires that allows the simultaneous transport of several bits of data Serial cables, which transport data one bit at a time, have mostly replaced parallel wires.

How do parallel wires work?In this tutorial's direct current circuit, there are two parallel straight wires (in red). These wires can be set up in a parallel circuit or in a series circuit, as they are when this tutorial first begins. In a series circuit configuration, a connecting wire joins parallel wires to form a circuit that directs current along a single path. Because of this, the current moves in one direction down one wire and the opposite direction down another wire.By selecting the radio button, you can convert this to a parallel circuit.In a parallel circuit, when the current reaches the parallel wires, it splits in two, with some current flowing down one wire and the other.The direction of travel for the current down both wires is the same.Observe how the parallel wires function in each of these configurations.

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All si units in chapter gravitation, motion, force and laws of motion

Answers

..may ik which syllabus u take

How do you calculate this?

Answers

Answer: Find the right angle degree and then you will find ow to do the rest.

if each resistor is rated at 0.2 w (maximum without overheating), what is the maximum voltage that can be applied across the whole network?

Answers

The maximum voltage that can be applied to the whole network is 39.46V.

What is the relationship between power and voltage?

The explanations given here are that Power equals current times Voltage (P=VxI), Voltage equals Power divided by current (V=P/I), and current equals Power divided by Voltage (I=P/V).

Power and Voltage:

The equation for the relationship between power, resistance, and voltage is

P = V²/R

P is for power,

R stands for resistance,

and V for voltage.

Given that the resistors

V = [tex]\sqrt{PR}[/tex]

Consequently, the maximum voltage for the 2.8k resistor will be:

V = [tex]\sqrt{(0.2)(2800)}[/tex]

V = 23.66V

The maximum voltage for the 2.1k resistor will be similar:

V = [tex]\sqrt{(0.2)(2100)}[/tex]

V = 20.49V

This is lower than the 2.8k resistor's maximum voltage.

The voltage between the 2.8k and 2.1k resistors must be same because they are connected in parallel.

The highest voltage that can be applied across this parallel configuration is 20.49V since a voltage of 23.66V would be too high for the 2.1k resistor to handle.

Similarly, the voltage drop across the series-connected 1.8 k resistor is:

V = [tex]\sqrt{PR}[/tex]

V = [tex]\sqrt{(0.2)(1800)}[/tex]

V = 18.97V

Consequently, the highest voltage that can be used over the entire network is

20.49V + 18.97V = 39.46V

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at what wavelength of light to humans give off the most light if the average human body temperature is approximately 310 k?

Answers

Peak thermal radiation for the human body at 310 K has a wavelength of 9.3 mm.

The average body temperature is 310.15 oK. The infrared region is where the radiation peaks as a result. Red light with wavelengths as long as 7,000 Angstroms can be seen by the human eye. Generally speaking, infrared wavelengths are those between 7,000 and 1,000,000 Angstroms.

Light's wavelength is used to measure it (in nanometers). It is typically represented by the Greek letter. Visible light is typically defined as having a wavelength between 400 and 700 nanometers (nm), or one billionth of a meter.

The distance between equivalent places in two consecutive light cycles is known as the wavelength of light, and the frequency of light is the number of light cycles that pass a specific spot in a second.

Atoms or molecules that undergo discrete energy level transitions give rise to narrowband radiation.

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how much heat is lost when a 640g piece of copper cools for 375°C to 26°C? the specific heat is 0.09 cal/g°C≈

Answers

The heat energy lost during the cooling of metal can be calculated using calorimetric equation. The heat lost here during cooling of copper is 20102.4 Cal.

What is calorimetry?

Calorimetry is an analytical tool used to determine the heat energy released  or absorbed from a chemical reaction or physical change. The heat energy q is related to the mass m of the substance, specific heat capacity c and the temperature difference ΔT as follows:

q = m c  ΔT.

It is given that the mass of copper metal is 640 g having specific heat of 0.09 Cal/g° C cooled from 375  to 26 degree Celsius. The heat lost from the metal can be calculated as follows:

q = 640 g × 0.09 Cal/g° C × (375 - 26 ° C )

  = 20102.4 Cal.

Therefore, the heat lost from the metal is 20102.4 Cal.

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n a mass spectrometer, chlorine ions of mass 35u and charge 5e are emitted from a source and accelerated through a potential difference of 250 kv. they then enter a region with a magnetic field, which is perpendicular to their original direction of motion. the chlorine ions exit the spectrometer after being bent along a path with a radius of curvature 3.5 m. what is the value of the magnetic field (u

Answers

Magnetic field will be equal to 0.269 T

What is magnetic field?

A magnetic field, a vector field that defines the magnetic effect on moving electric charges, electric currents, and magnetic materials. A moving charge within a magnetic field experiences a force perpendicular to its velocity and to the magnetic field.

Given,

Mass of chlorine ion is 35u

We know that 1 u = 1.66 × 10⁻²⁷kg

Radius of circular path (r) = 3.5 m

Mass of chlorine ion = 35 × 1.66 × 10⁻²⁷

= 58.1 × 10⁻²⁷kg

Charge (q) =  1.6 × 10⁻¹⁹C

Potential difference (V) = 250 Kv

According to conservation of energy:

¹/₂ mv² = qV

¹/₂ × 58.1 × 10⁻²⁷ × v² = 1.6 × 10⁻¹⁹ × 25 × 10⁴

v = 2.6 × 10⁶ m/s

As we know,

r = mV/qB

B = mV/qr

B =  58.1 × 10⁻²⁷× 25 × 10⁴/1.6 × 10⁻¹⁹× 3.5

B =  0.269 T

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a visitor to a lighthouse wishes to determine the height of the tower. the visitor ties a spool of thread to a small rock to make a simple pendulum, then hangs the pendulum down a spiral staircase in the center of the tower. the period of oscillation is 9.12 s. what is the height of the tower? the acceleration due to gravity is 9.81 m/s 2 . answer in units of m

Answers

The height of the tower is 20.68 m

What is simple harmonic motion?

Simple harmonic motion or SHM is defined as motion in which the restoring force is directly proportional to the displacement of the body from its mean position. The direction of this restoring force is always in the direction of the intermediate position. The acceleration of a particle undergoing simple harmonic motion is given by α(t) = -ω² x(t). where, ω is the angular velocity of the particle.

Using,

T = 2π√(L/g)

Where, T = period of the oscillation

L = Height of the tower

g = Acceleration due to gravity

Make L the subject of the equation

L = gT²/(4π²)

Given: T = 9.12 s

g = 9.8 m/s²

π = 3.14

Substitute into equation 2

L = 9.8(9.12²)/(4×3.14²)

L =  m

Hence the height of the tower = 20.68 m

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a small brake light powered by an automotive battery of 12.0 v has a power rating of 30 w. what is the resistance of the brake light in ohms? round your answer to the nearest tenth.

Answers

5ohms is the resistance of the brake light in ohms.

What are opposition and an example?

Resistance is the degree to which a substance obstructs or opposes an electric current. Electric current is the flow of electrons. To better understand resistance, imagine how difficult it would be for a person to move from one shop to another in a crowded market.

Resistance and formula are what?

The following is the equation to use Ohm's Law to compute resistance: R = V I, where R is the resistor's resistance expressed in ohms () and V is the voltage drop expressed in volts.

POWER(watts) = VOLTAGE * AMPERAGE

AMPERAGE = POWER(watts) / VOLTAGE

AMPERAGE = 30/12 = 2.5

RESISTANCE(ohms) = VOLTAGE / AMPERAGE

R = 12/2.5 = 4.8ohms

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