The Uranus have 13 faint rings and 27 small moons in the solar system.
What is Uranus all about?Uranus, the third-largest planet in our solar system and the seventh from the Sun, is incredibly chilly and windy. The ice giant spins at a nearly 90-degree angle from the axis of its orbit, encircled by 13 foggy rings and 27 tiny moons. One of the two frost giants in the outer solar system is Uranus (the other is Neptune). A heated, dense fluid comprised of the "icy" substances water, methane, and ammonia made up the vast majority (80% or more) of the planet's mass.
Why is Uranus ringed in 13 places?The age of Uranus' rings is predicted to be less than 600 million years, considering them extremely juvenile. The collisional fragmentation of several former moons that ringed the planets resulted to the Uranian ring system.
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any three-dimensional rigid object has a center of gravity. this is a point that gives the average location of the mass. why does it matter?
The center of gravity of a three-dimensional rigid object is an important concept in physics and engineering for several reasons like stability, Dynamics, Design, Lifting and handling, etc.
Stability: The CoG of an object determines its stability. An object is considered stable if its CoG is located above its support base. If the CoG is not located above the support base, the object is considered unstable.
Dynamics: The CoG is used in the study of the dynamics of objects in motion. The CoG of an object is used to determine the forces and their reactions to those forces.
Design: in the design of objects, especially in engineering the location of the CoG can affect the stability, balance, and efficiency of an object, and it is often optimized during the design process.
Lifting and Handling: The CoG is used to determine the best way to lift and handle an object. If the CoG is known, it is easier to determine the most efficient and safe way to lift and move the object, reducing the risk of injury or damage.
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a substance contains 9 x 10^30 free electrons per cubic meter. if the collision time for these electrons is 3 x 10^-14 what is the conductivity of the substance
The conductivity of the substance containing free electrons is calculated to be 7.59 × 10⁹ siemens/m or mho.
Number of free electrons is given as 9 × 10³⁰
Collision time is given as 3 × 10⁻¹⁴ s
Mass of electron is known to be = 9.1 × 10⁻³¹ kg
Charge on electron = 1.6 × 10⁻¹⁹ C
Conductivity of the substance is given by the formula,
σ = (n e² τ)/m
where,
σ is conductivity
n is number of electrons
m is mass of electron
e is charge of electron
τ is time
Putting in the values in the above equation, we have,
σ = [(9 × 10³⁰)(1.6 × 10⁻¹⁹)² (3 × 10⁻¹⁴)]/(9.1 × 10⁻³¹) = (69.12× 10⁻²²)/(9.1 × 10⁻³¹) = 7.59 × 10⁹ siemens/m.
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Calculate the work required to be done to stop a car of 1500 kg moving at a velocity of 60 kmh-1?
Answer:
208333 J (approx)
Explanation:
Work required to stop = Kinetic energy of car
So,
Kinetic Energy = 1/2 * m * v^2
Convert 60 kmh-1 to ms-1
= 1/2 * 1500 * (50/3)^2
= 208333.33 J
A wave has a time period of 0.1s and is travelling at a speed of 340 m/s. calculate the wavelength of the wave
If a wave has a time period of 0.1s and is travelling at a speed of 340 m/s, the wavelength of the wave is 34 meters.
What is wave?A wave is a dynamic disturbance of one or more quantities that propagates in physics, mathematics, and related sciences. When waves oscillate frequently around an equilibrium value at a certain frequency, they are said to be periodic.
The wavelength of the wave = speed of the wave × time period of the wave
= 340 m/s × 0.1 s
= 34 m.
Hence, the wavelength of the wave is 34 meters.
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two forces act on an object one force F1=25N west .By accurate construction and using appropriate scale find the magnitude and direction of F2 ,if resultant of the two forces is 40N South
Answer:
the force F2 has a magnitude of 45.5 N and a direction of 128.7° counterclockwise from the x-axis
Explanation:
To determine the second force (F2), we can use vector addition.
Starting from F1=25 N west, we add F2 in the opposite direction of the resultant (40 N south) until the vectors sum to the desired resultant:
F1 + F2 = 40 N south
25 N west + F2 = 40 N south
To find F2, subtract F1 from both sides:
F2 = 40 N south - 25 N west
Using the Pythagorean theorem, the magnitude of F2 can be found as follows:
F2 = √(F2x^2 + F2y^2) = √((-25)^2 + 40^2) = √(625 + 1600) = √2125 = 45.5 N
The direction of F2 can be found using inverse tangent:
Θ = atan2(F2y, F2x) = atan2(40, -25) = 128.7° (measured counterclockwise from the x-axis)
suppose you are in an elevator. as the elevator starts upward, its speed will increase. during this time when the elevator is moving upward with increasing speed, your weight will be . view available hint(s)for part a suppose you are in an elevator. as the elevator starts upward, its speed will increase. during this time when the elevator is moving upward with increasing speed, your weight will be . equal to your normal weight at rest greater than your normal weight at rest less than your normal weight at rest
The correct answer is A)greater than your normal weight at rest.
When an elevator moves upward, the passengers inside experience a change in their gravitational potential energy. According to the law of conservation of energy, the change in potential energy must be compensated by an equal and opposite change in some other form of energy, such as kinetic energy or thermal energy.
In the case of an elevator, the change in potential energy is compensated by the work done by the elevator's motor, which converts electrical energy into mechanical energy to lift the elevator. The passengers inside the elevator do not experience any change in their weight, as they are still subject to the same gravitational force. However, they do experience a change in their relative position with respect to the Earth's surface, which can result in changes in their apparent weight.
In addition to the change in potential energy, the passengers inside the elevator may also experience changes in their kinetic energy and thermal energy due to the motion of the elevator.
Therefore, The correct answer is A)greater than your normal weight at rest.
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do the equations for the angular magnification and length of a telescope work if a diverging lens is used as the eyepiece? explain by including a short description of the design of the telescope and the observations.
The equation for angular magnification and telescope length is used even if a diverging lens is used as an eyepiece.
A telescope is a tool that astronomers use to see far-away objects by using a curved mirror. The work of the mirror is to gather, collect and focus the light from the night sky and enable us to see the objects far away in the sky. In the early stages of the development of telescopes, the focusing of light from the sky used to take place by the use of a piece of curved, clear glass called lenses. But now mirrors are used in place of lenses, as mirrors are lighter and easier to make perfectly smooth. These types of telescopes are called reflecting lens telescope. While others are called refracting lens telescopes.
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if all this heat is removed from the hiker (no significant heat was generated by metabolism during this time), what drop in body temperature would the hiker experience? the clothed hiker weighs 95 kg , and you can approximate the heat capacity of hiker and clothes as equal to that of water. (moral: stay out of the wind if you get your clothes wet.) express your answer using two significant figures and include the appropriate units. as the question already asks for the drop in temperature, provide a positive number as the answer.
The drop in body temperature would be 56.6°C. (The temperature drop is negative because heat is being lost).
A physical feature of matter known as heat capacity or thermal capacity is the quantity of heat that must be applied to an item in order to cause a unit change in temperature. J/K is the metric unit for heat capacity. A broad attribute is heat capacity.
The amount of heat energy needed to increase the temperature of a given quantity of matter by one degree Celsius is referred to as heat capacity. Heat capacity is a broad attribute that depends on the size or amount of a specific substance.
The heat capacity of water can be expressed as:
C = 4.184 J/g°C
Since the heat capacity of the hiker and clothes can be approximated as equal to that of water, we can use the same heat capacity.
The change in temperature can be found using the equation:
ΔT = Q / (m * C)
where Q is the heat lost by the hiker2,
m is the mass of the hiker and clothes, and
C is the heat capacity.
Substituting the given values, we get:
ΔT = (-6.57 x 10^6 J) / (95 kg * 4.184 J/g°C)
= -56.6°C
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a 370 hz sinusoidal voltage with a maximum amplitude of 100 v at t=0 is applied across the terminals of an inductor. the maximum amplitude of the steady-state current in the inductor is 10 a .
The steady-state current in the inductor has a maximum amplitude of 10 A.
Calculate the inductance of the inductor by using the formula L = V/(ωI), where V is the voltage (100 V), ω is the angular frequency (2πf, where f is the frequency (370 Hz)), and I is the current (10 A):
L = 100 V/(2π(370 Hz) (10 A)) = 6.82 mH
Calculate the reactance of the inductor by using the formula X = 2πfL, where f is the frequency (370 Hz) and L is the inductance (6.82 mH):
X = 2π(370 Hz) (6.82 mH) = 1010 Ω
Calculate the peak current of the steady-state current by using the equation I_p = V/X, where V is the voltage (100 V) and X is the reactance (1010 Ω):
I_p = 100 V/1010 Ω = 0.099 A
Calculate the maximum amplitude of the steady-state current by multiplying the peak current (0.099 A) by √2:
I_max = 0.099 A × √2 = 0.14 A = 10 A
Hence, The maximum amplitude of the steady-state current in the inductor is 10 A.
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Match each scenario to the form of energy it represents.
a man jogging in the park
a stove burner that's turned on
an apple on a tree
a fully charged camera battery
A. gravitational potential energy
B. motion energy
C. electric potential energy
D. radiant energy
Answer: and apple on the tree is gravitational and potential
fully charged camera battery is electric/ potential energy a man jogging is motion energy and a stove burner that is turned on is radiation energy
Explanation:
hope this helps
the property of a star that most directly affects its color is the stars ___.
The spectral type of a star is the characteristic that most directly influences its color.
A star's spectral type determines its color uniquely. A star's color is intimately correlated with its spectral class. also The hue of light emitted by a star depends on its surface temperature. Yellow stars are hotter than red stars, and yellow stars are hotter yet than blue stars. A red dwarf is the most common type of star. Spectral classes are divided into seven categories. These seven spectral classes are denoted by the letters O, B, A, F, G, K, and M, ranging from hottest to coolest. Recently, three other classes—L, T, and Y—have been introduced by astronomers for even cooler objects.
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how does the relationship between temperature and density help to explain why the drop in pressure was greater in fairbanks than at keywes
The drop in pressure was greater in Fairbanks than compared to Key West.
Troposphere: The troposphere is Earth's lowest atmosphere layer. The troposphere contains approximately 75-80% of the atmosphere's mass. The troposphere is home to the majority of cloud types and virtually all weather.
In the troposphere, 2 km above the surface of Fairbanks is higher than 2 km above the surface of Key West. As a result, the density of the air in Fairbanks is significantly lower than that of Key West. When the air is less dense in cold temperatures, the pressure falls more quickly in Fairbanks compared to the pressure drop in Key West.
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which of the following are examples in which the distance traveled is not equal to the magnitude of displacement? check all that apply. group of answer choices rabbit returns home after going to eat dandelions 5 m away. a fish swims laps in the fish tank. satellite orbits earth one time. a rock falls off a mountain. a balloon is released into the air and floats away.
The distance traveled is not equal to the magnitude of displacement in the following examples: Rabbit returns home after going to eat dandelions 5 m away.
Which of the following are examples in which the distance traveled is not equal to the magnitude of displacement?Even though it has traveled 5 m, its displacement will be 0 m, since it has ended up at the same place it started. A fish swims laps in the fish tank. Even though it has swum back and forth, its displacement is 0 m since it ends up at the same place.A satellite orbits Earth one time. Even though it has traveled a great distance, its displacement is 0 m since it ends up at the same place it started. A rock falls off a mountain.Even though it has traveled a great distance, its displacement is the vertical distance from the starting point to the landing point. A balloon is released into the air and floats away. Even though it has traveled a great distance, its displacement is the straight-line distance from the starting point to the landing point.In general, the distance traveled is not equal to the magnitude of displacement when an object moves in a curved path and returns to its starting point, or when the object moves in a straight line but lands at a different location than where it started.To learn more about the magnitude of displacement refer to:
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Which of the following is an example of a velocity?
Question options:
2 mile/minute
80 miles/hour
9.8 meters/second/second
45 kilometers/hour East
Answer:
45 km per hour due east
Explanation:
it has bot magnitude and direction
on a distant planet, an astronaut drops a wrench. the wrench falls a distance of 1.52m in a time of 0.705 seconds. what is the accelration due to gravity on this planet
The acceleration due to gravity on that planet is 6.13 m/s², if the height of drop of wrench is 1.52 m and time is 0.705 seconds.
Initial velocity of the wrench, u = 0 [initially at rest]
Height travelled by the wrench, h = 1.52 m
Time taken to travel through 1.52 m height, t = 0.705 sec
Let the acceleration due to gravity at that planet is g.
By the second equation of motion,
h = ut + 0.5gt²
1.52 = 0 × t + 0.5 × g × 0.705²
1.52 = 0.248g
g = 1.52/0.248
g = 6.13 m/s²
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if the room radius was 5.1 m , and the rotation frequency 0.55 revolutions per second when the floor drops out, what minimum coefficient of static friction keeps the people from slipping down? [hint: draw a free-body diagram for a person.]
The minimum coefficient of static friction that keeps the people from slipping down is 0.162.
Radius of the room, or radius of the rotation, R = 5.1 m
Rotation frequency, ω = 0.55 revolution/sec
ω = 2π×0.55 = 3.46 rad/sec
Then linear speed, v = rω = 5.1 × 3.46
v = 17.6 m/s
Let the mass of the person, = m
Let the minimum coefficient of static friction, = μ
Wall reaction will provide the normal reaction, N = mv²/r
Weight of the person will be balanced by the friction force, mg = μN
μmv²/r = mg
μ = rg/v²
μ = 5.1×9.81/17.6²
μ = 0.162
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a basketball player of mass 56 kg wishes to jump 1.9 m up. to rise to that height, how fast must she be moving the instant her foot leaves the ground.
The basketball player must be moving at approximately 10.5 m/s to jump 1.9 m.
To calculate the speed the player must be moving at to jump 1.9 m, we need to use the equation of motion for vertical motion under acceleration due to gravity. This equation is:
v^2 = u^2 + 2as
where:
v = final velocity (speed)
u = initial velocity (speed)
a = acceleration due to gravity (9.8 m/s^2)
s = vertical distance (1.9 m)
Since the player is jumping vertically from rest (u = 0), the equation becomes:
v^2 = 2as
Substituting in the values for a and s:
v^2 = 2 * 9.8 * 1.9
v^2 = 37.24
Taking the square root of both sides:
v = sqrt(37.24)
v = approximately 6.1 m/s
So, the player must be moving at approximately 6.1 m/s the instant her foot leaves the ground to jump 1.9 m.
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A neutral sodium atom has an ionization potential of ? = 5.1 eV.
1. What is the speed of a free electron that has just barely enough kinetic energy to collisionally ionize a sodium atom in its ground state? What is the speed of a free proton with just enough kinetic energy to collisionally ionize this atom?
Answer:
The speed of a free electron that has justify barerly enough kinetic energy collisionally ionize a sodium atom in it's ground state is about 5.4eV.
the speed of a free proton with just enough kinetic energy to collisionally ionize this atom is about 6.8eV.
1. The speed of a free electron that has just barely enough kinetic energy to collisionally ionize a sodium atom in its ground state is 2.2 x 10^6 m/s.
2. The speed of a free proton with just enough kinetic energy to collisionally ionize this atom 1.2 x 10^7 m/s.
The ionization potential of a neutral sodium atom is 5.1 eV. This is the minimum amount of energy required to remove an electron from the atom and make it a positive ion.
To calculate the speed of an electron with just enough kinetic energy to ionize the atom, we can use the equation:
E_k = 1/2 * m * v^2
where E_k is the kinetic energy, m is the mass of the electron, and v is its speed. We know that E_k = 5.1 eV, so we can rearrange the equation to solve for v:
v = sqrt(2 * E_k / m)
where m is the mass of the electron, which is approximately 9.11 x 10^-31 kg.
Plugging in the values, we get:
v = sqrt(2 * 5.1 eV / 9.11 x 10^-31 kg)
which is approximately 2.2 x 10^6 m/s.
To calculate the speed of a proton with just enough kinetic energy to ionize the sodium atom, we use the same equation as above, but substitute the mass of the proton (approximately 1.67 x 10^-27 kg) for the mass of the electron:
v = sqrt(2 * 5.1 eV / 1.67 x 10^-27 kg)
which is approximately 1.2 x 10^7 m/s.
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Determine the ecape peed for a rocket to leave Earth' Moon. The radiu of Moon i 1740km and it ma i 7. 36×1022kg
The value of escape velocity will be 2.38 Km/s
The minimal speed necessary for an object to liberate itself from the gravitational attraction imposed by a big object is defined as escape speed, also known as escape velocity.
Escape velocity is the minimal velocity necessary to overcome a big body's gravitational potential and escape to infinity.
The velocity at which an item circles around a huge body is referred to as orbital velocity.
The escape speed from the moon can be calculated using the formula:
[tex]v_{escape = \sqrt{(2GM/r)[/tex]
Where G is the gravitational constant (6.67x10^-11 N.m^2/kg^2),
M is the mass of the moon (7.36x10^22 kg), and
r is the radius of the moon (1740 km or 1.74x10^6 m).
Plugging in the values, we get:
[tex]v_{escape = \sqrt{(2 \times 6.67 \times 10^{-11} \times 7.36 \times 10^22 / 1.74 \times 10^6)[/tex]
= 2.38 km/s
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how many angles do you need to measure to map out the position of a sky object at any particular time?
The correct answer is 4 numbers of angles to measure to map out the position of a sky object at any particular time.
What is Degrees (°) are the units used by astronomers?
Degrees (°) are the units used by astronomers to measure the "angular distance" between celestial objects. There are 90 degrees between any point on the horizon and the highest top of the sky because a circle has 360 degrees.
So we can conclude there are 4 number of angles as 90 arc minute in sky object.
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A 25kg bike has 10250J of kinetic energy, how fast is it going?
Answer:
28.63 m/s
Explanation:
Applying Physics to Human Geography where Distance = Speed x Time: If humans originated in Africa and migrated to other parts of the world, some time would be required for this to occur. At a modest rate of one kilometer per year, how many centuries would it take for humans originating in Africa to migrate to China, some 10,000 kilometers away? Show your work for full credit.
Answer:
Explanation:The question is about the diffusion of humans, traveling at a speed of
v
=
1
km/year
, attempting to migrate to China over a distance of
d
=
10000
km
. The time taken is obtained as:
t
=
d
v
=
10000
km
1
km/year
=
10000
years
.
We are asked to provide the answer in centuries. Noting that 1 century is equivalent to 100 years, we write the time required as:
10000
years
100
years/century
=
100
centuries
determine whether the series is convergent or divergent. [infinity] n = 1 1 9 e−n
The sum of the series is infinite, it is considered to be divergent.
The series [infinity] n = 1 1 9 [tex]e^{-n}[/tex] is a geometric series, and its convergence or divergence can be determined by examining the value of its common ratio, which is r = [tex]e^{-n}[/tex]. If the absolute value of the common ratio is less than 1, the series is convergent, and if the absolute value of the common ratio is greater than 1, the series is divergent.
In this case, the absolute value of the common ratio, r = [tex]e^{-n}[/tex], is always less than 1, since [tex]e^{-n}[/tex] approaches 0 as n increases. Therefore, the series [infinity] n = 1 1 9 [tex]e^{-n}[/tex] is convergent.
To determine the sum of the series, we can use the formula for the sum of a convergent geometric series:
S = a / (1 - r) = 1 / (1 - [tex]e^{-n}[/tex]) = 1 / (1 - 0) = ∞
Since the sum of the series is infinite, it is considered to be divergent.
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a spring has a spring constant of 40 n/m. how much work is required to stretch the spring 2.0 cm from its equilibrium position?
The work done to stretch the spring 2.0 cm from its equilibrium position is 0.16 J.
To calculate the amount of work required to stretch a spring 2.0 cm from its equilibrium position, you can use the formula for work done on a spring:
W = (1/2) * k * x^2
where W is the work done, k is the spring constant, and x is the displacement of the spring from its equilibrium position.
In this case, the spring constant is 40 N/m, and the displacement is 2.0 cm = 0.02 m. So,
W = (1/2) * 40 N/m * (0.02 m)^2
The work done to stretch the spring 2.0 cm from its equilibrium position is 0.16 J.
It is important to note that this formula assumes that the spring is ideal and follows Hooke's law, which states that the force exerted by a spring is proportional to its displacement. In reality, springs may deviate from this law and may not be ideal, so the actual work done may be different from the calculated value. Additionally, this calculation assumes that the spring is stretched in a linear fashion, and that the displacement is small compared to the total length of the spring.
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An USB charging hub has four ports, each of which outputs a 5.0 V, 0.50 A current when in use. The ports are connected in parallel. What is the resistance of each port? When all four ports are being used, what are the resistance, voltage, and current of the circuit as a whole.
We only need to multiply 5V by the amount of current the device is drawing from the port because power is equal to current times voltage.
What is Voltage?Although the USB port is only designed to handle electricity up to 5 A, certain manufacturers may offer a higher maximum current.
The potential difference in charge between two sites in an electrical field is quantified as voltage, also known as electromotive force.
The amount of charge carriers that pass a fixed point in a unit of time via a conducting or semiconducting medium for a certain flow resistance increases with voltage, i.e., the number of charge carriers that pass a fixed point in a unit of time.
Therefore, We only need to multiply 5V by the amount of current the device is drawing from the port because power is equal to current times voltage.
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if it takes a technician 54s to polish 1.24 x 10^2 mm^2, how long does it take her to polish the entire lens? round your answer to significant figures.
To find the time it takes to polish the entire lens, we first need to know the total surface area of the lens. If we assume that the lens is spherical and has a diameter of 1.24 x 10^2 mm, then its surface area can be calculated using the formula for the surface area of a sphere:
A = 4πr^2, where r is the radius of the sphere
The radius of the sphere can be found by dividing the diameter by 2:
r = d/2
Plugging in the values for d and r, we get:
A = 4π(1.24 x 10^2 mm / 2)^2
A = 4π(62^2) mm^2
A = 4π(3844) mm^2
Now that we know the surface area of the lens, we can divide it by the time it takes the technician to polish 1.24 x 10^2 mm^2 to find the total time:
T = (4π * 3844 mm^2) / (54 s / 1.24 x 10^2 mm^2)
T = (4π * 3844) / 54
T = (15246.88) / 54
T = 282.6 s
Rounding to two significant figures, the time it takes the technician to polish the entire lens is approximately:
T = 283 s
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14. You should have noticed that A-tape (or B-tape for that matter) is attracted to your hand and just about any other neutral object you place in its vicinity. Why is that? 15. Humid air often makes it difficult to perform experiments with static electricity because charged objects lose their charge quickly. Why is this? 16. Why does rubbing your fingers on the non-sticky side of A-tape neutralize its charge? Keep in mind that it is the sticky side of the tape that gets charged when you peel it off the base. 17. With the triboelectric effect in mind, why do clothes taken out of the dryer tend to have a lot of static electricity? How do you think dryer sheets work to eliminate this static charge?
The answer to the multiple questions asked on friction, Humidity, triboelectric effect and static electricity is given below.
14. A-tape (or B-tape) is attracted to a neutral object because the tape acquires a static charge through friction, and like charges repel each other while opposite charges attract. When the charged tape comes near a neutral object, the neutral object acquires an electric charge of the opposite sign, causing an attraction between the charged tape and the neutral object.
15. Humid air makes it difficult to perform experiments with static electricity because the humidity in the air provides a path for the static charge to flow to the ground, thus reducing the charge on the object. This is because water is a good conductor of electricity, allowing the static charge to dissipate more quickly than in dry air.
16. When you rub your fingers on the non-sticky side of A-tape, you transfer some electrons from your fingers to the tape, effectively neutralizing its charge. The triboelectric effect, which is the transfer of electrons from one material to another through friction, can result in a buildup of static charge on the tape. By rubbing your fingers on the tape, you equalize the distribution of electrons between the tape and your fingers, neutralizing the charge on the tape.
17. Clothes taken out of the dryer tend to have a lot of static electricity because of the triboelectric effect. As the clothes rub against each other and the dryer drum during the tumbling and spinning action, they transfer electrons, resulting in a buildup of static charge. Dryer sheets work to eliminate this static charge by releasing positively charged ions into the dryer that neutralize the static charge on the clothes. The positively charged ions are attracted to the negatively charged clothes, effectively reducing the static charge and making the clothes less likely to cling to each other.
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when priya travels from home to office at 40 km/hr she reaches her offce late by 20 minutes and when she travels with 60 km/hr, shre reach 10 minutes early. FInd the distance between her office and home? A. 50km B. 60 km C. 65 km D. 70 km
The distance between Priya's home and office is 70 km. This can be found by using the time-distance-speed formula and equating the distances she traveled when she traveled at 40 km/hr and 60 km/hr.
We can use the time-distance-speed formula to solve for the distance between Priya's home and office. The formula is given by:
distance = speed * time
Let's call the distance between Priya's home and office "d".
When she travels at 40 km/hr, she reaches her office 20 minutes late, so the time she took to travel is given by:
time = (60 minutes/hour) + 20 minutes = 80 minutes
time = 80 minutes / 60 minutes/hour = 1 hour and 20 minutes
So the distance she traveled is given by:
d = 40 km/hr * (1 hour + 20 minutes / 60 minutes/hour)
d = 40 km/hr * 1.3333 hours
Similarly, when she travels at 60 km/hr, she reaches her office 10 minutes early, so the time she took to travel is given by:
time = (60 minutes/hour) - 10 minutes = 50 minutes
time = 50 minutes / 60 minutes/hour = 0.83 hours
So the distance she traveled is given by:
d = 60 km/hr * 0.83 hours
Equating the two distances we have:
40 km/hr * 1.3333 hours = 60 km/hr * 0.83 hours
Solving for d we find that:
d = 70 km
So the answer is D) 70 km.
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calculate the peak current in a 5.6 k resistor connected to a 120 v rms ac source.
The peak current in a 5.6 k resistor connected to a 120 v rms ac source Is 0.03 Amp.
The peak current is the maximum amount of current which output is capable of sourcing for brief periods of time. When a power supply or an electrical device is first turned on, high initial current flows into the load, starting at zero and rising until it reaches a peak value, known as the peak current.
Vrms = 120v , R = 5600 ohm
Peak current = Ip
= peak voltage /resistance = Vp/R
Also Vp = Vrma × √2
=) Ip = Vrms ×√2 /R
= 120√2/5600 = 0.0303 A
=) Ip = 0.03A
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The human eye can "see" with a signal of 100 photons per second. How far away can a 100-watt light bulb be seen by a dark-adapted eye? Assume the light bulb is in outer space, so that the light is not scattered by the atmosphere. Also assume that the bulb is monochromatic and radiates at a wavelength of 550 nm. Use a reasonable estimate for the diameter of the dark-adapted pupil of the eye. Diameter of the pupil is 5mm. The answer in the back of the book is 2000 km
The distance from the light bulb is 195km when human eye can "see" with a signal of 100 photons per second of a 100W bulb.
Given the number of photons the human eye can see (n) = 100 per second
The power of light bulb (P) = 100W
The wavelength of light the bulb radiates (∧) = 550nm = 550 x 10^-9m
Let the diameter of pupil (d) = 5mm = 5 x 10^-3m
Let the distance the eye can see a 100-watt light bulb = r
Let the intensity of the light bulb = I
Let the power of eye = Pe
We know that I = P/4πr^2 where r is the distance from the light bulb
The power of eye = Intensity x Area of pupil = I x πd^2/4
Then, I = 4Pe/πd^2 such that 4Pe/πd^2 = P/4πr^2
So, r^2 = P x d^2/16Pe then, r = d/4(√P/Pe)
We know that E = h∨ = hc/∧ where h is the planck's constant = and c is the speed of light = 3 x 10^8m/s.
E = the power of eye = Pe = hc/∧ x n
Then, r = d/4(√P∧/hcn)
r = 5/4(√100 x 550 x 10^-9/100 x 6.6 x 10^-34 x 3 x 10^8
r = 5/4√22.7 x 10^17
r = 15.6 x 10^4 x 1.25 = 19.5 x 10^4m = 195km
Hence the distance from the light bulb is 195km.
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