Answer:
3
Explanation:
10⁰ = 1 because anything to the power of 0 is 1.
3×1= 3
What is an example of total internal reflection at work?
A.
A ray of light has the same intensity both entering and exiting a fiber optic cable.
B.
A ray of light entering a glass cube gets refracted.
C.
A ray of light in air hits a shiny surface and bounces off.
D.
A ray of light entering a ruby gets refracted.
\(\huge\underline{\underline{\boxed{{ \mathbb{SOLUTION:}}}}}\)
\(\leadsto\) Total internal reflection occurs when a ray of light is traveling through a medium and, when that medium changes, it does not refract into the second medium but instead it reflects back into the first medium.
By Snell's law, we know that
\(\longrightarrow \sf{n_1 sin \emptyset_1 = n_2 sin \emptyset_2}\)
If this happens, then \(\sf{n_2 \angle n_1}\), and the ray does not lose intensity due to refraction.
\(\huge\underline{\underline{\boxed{\mathbb{ANSWER:}}}}\)
\(\large \bm{ A.}\) A ray of light has the same intensity both entering and exiting a fiber optic cable.
When the displacement of a mass on a spring is 12 A, what percentage of the energy is kinetic energy? At what displacement, as a fraction of A, is the energy half kinetic and half potential?
Answer:
75%
\(\dfrac{A}{\sqrt{2}}\)
Explanation:
x = Displacement of spring = \(\dfrac{1}{2}A=\dfrac{A}{2}\)
k = Spring constant
Total energy of the spring is
\(E=\dfrac{1}{2}kA^2\)
Elastic potential energy is given by
\(U=\dfrac{1}{2}kx^2\\\Rightarrow U=\dfrac{1}{2}k(\dfrac{A}{2})^2\\\Rightarrow U=\dfrac{1}{2}k\dfrac{A^2}{4}\\\Rightarrow U=\dfrac{1}{4}\times \dfrac{1}{2}kA^2\\\Rightarrow U=\dfrac{1}{4}E\)
Total energy is given by
\(E=U+K\\\Rightarrow K=E-U\\\Rightarrow K=E-\dfrac{1}{4}E\\\Rightarrow K=\dfrac{3}{4}E\\\Rightarrow \dfrac{K}{E}=0.75\)
The percentage will be
\(\dfrac{K}{E}=0.75\times 100\%\\\Rightarrow \dfrac{K}{E}=75\%\)
The required percentage is 75%
According to the given condition
\(\dfrac{E}{2}=\dfrac{1}{2}kx^2\\\Rightarrow \dfrac{\dfrac{1}{2}kA^2}{2}=\dfrac{1}{2}kx^2\\\Rightarrow \dfrac{1}{2}kA^2=kx^2\\\Rightarrow x=\sqrt{\dfrac{1}{2}A^2}\\\Rightarrow x=\dfrac{A}{\sqrt{2}}\)
So, the energy is half when displacement is \(\dfrac{A}{\sqrt{2}}\)
Let x be the displacement of spring which is given to be \(\frac{1}{2} A=\frac{A}{2}\)
k= spring constant
Total energy of the spring is:
\(E=\frac{1}{2} kA^2\)
Elastic potential energy is given as:
\(U=\frac{1}{2} kx^2\)
Now on substituting the value of x in above equation:
\(U=\frac{1}{2} k\frac{A^2}{4}\)
It can also be written as:
\(U=\frac{1}{4} *\frac{1}{2} kA^2 \\\\U=\frac{1}{4} E\) (∵\(E=\frac{1}{2} kA^2\))
Total energy can be written as:
E=U+K
⇒K=E-U
⇒K=E-1/4 E
⇒K=3/4 E
⇒\(\frac{K}{E} =0.75\)
(i) Now, we need to calculate the percentage of kinetic energy:
\(\frac{K}{E} =0.75*100=75\%\)
The percentage of kinetic energy is 75%.
(ii) In second it is asked at what displacement, as a fraction of A, is the energy half kinetic and half potential?
∴\(\frac{E}{2} =\frac{1}{2} kx^2\)
On substituting the value of E in above equation we will get:
\(x=\sqrt{\frac{1}{2} A^2} \\\\x=\frac{A}{\sqrt{2} }\)
So, the energy is half when displacement is \(\frac{A}{\sqrt{2} }\) .
Learn more:
brainly.com/question/12337396
g Consider a mass-spring system where the spring constant is 5 N/m and the mass on the spring is 0.5 kg. The mass is moved a distance of -0.9 m from its equilibrium position. How much work is done by the spring
Answer:
The work done by the spring is 2.025 J
Explanation:
Given;
mass on the spring, m = 0.5 kg
spring constant, k = 5 N/m
extension of the spring, x = 0.9 m
The work done by the spring is calculated as;
\(W = \frac{1}{2} kx^2\\\\W = \frac{1}{2} \times 5 \times (0.9)^2\\\\W = 2.025 \ J\)
Therefore, the work done by the spring is 2.025 J
One elevator arrangement includes the passenger car, a counterweight, and two large pulleys, as shown in Figure 11-50. Each pulley has a radius of 1.2 m and a moment of inertia of 380 kg•m². The top pulley is driven by a motor. The elevator car plus passengers has a mass of 3100 kg, and the counterweight has a mass of 2700 kg. If the motor is to accelerate the elevator car upward at 1.8 m/s², how much torque must it generate? Hint: The two pulleys move together, so you can model them as a single pulley with the sum of the moments of inertia.
The torque generated by the motor, accelerating with 1.8 m / \(s^{2}\) Of the elevator is, 18372 Nm.
What is torque?The force which causes the object to rotate about any axis is called torque. In math form, it is equivalent to the product of force and perpendicular distance.
Given: Radius of pulley (r) = 1.2 meters;
Moment of inertia of pulley (I) = 380 kg\(m^{2}\)
Mass of elevator plus passenger (M) = 3100 kg;
Mass of counterweight (W) = 2700 kg;
Now if the rope tension is \(T_{2}\) then
\(T_{2}\) = 3100 × (9.8 + 1.8)
\(T_{2}\) = 35960 N
If \(T_{1\) is the counterweight tension then
\(T_{1\) = 2700 × (9.8 - 1.8) N
\(T_{1\) = 21600 N
Now Angular acceleration (α) = a / r
α = 1.8 / 1.2
α = 1.5 rad / sec
If T is the total torque then
\(T = 2*I*\alpha +(T_{2} -T_{1} )*r\)
T = 2 × 380 × 1.5 + (35960 - 21600) ×1.2
T = 18372 Nm
Therefore, the total torque generated is 18372 Nm.
To know more about Torque:
https://brainly.com/question/28220969
#SPJ1
Object has a mass of 35g and a density of 5g/cm3.
What is the volume? *
Answer:
The answer is 7.0 mLExplanation:
The volume of a substance when given the density and mass can be found by using the formula
\(volume = \frac{mass}{density} \\\)
From the question
mass = 35 g
volume = 5 g/cm³
We have
\(volume = \frac{35}{5} \\ \)
We have the final answer as
7.0 mLHope this helps you
Write down the condition required for the thermonuclear fusion.
Answer:
The main condition necessary for a controlled thermonuclear fusion:
The ions must be held together in close proximity at high temperature with a confinement time long enough to avoid cooling.
what is true about solar energy hitting earth?
A. Differences by latitude drive atmospheric circulation
B. It is roughly the same at all latitudes.
C. It is most focused at the poles.
D. It is not focused at the equator.
Electricity cost 10p how much will it cost to use a 85w laptop and a 60w lamp for an hour
Answer:
Explanation:
usually electricity is sold in the units of kWh, which I will ASSUME is the case here.
85 W (1 kW/1000W)(1hr)(10 p) = 0.85p
60 W (1 kW/1000W)(1hr)(10 p) = 0.60p
together they would cost 1.45 p
which would be rounded down to 1 p
During heavy lifting, a disk between spinal vertebrae is subjected to a 5000-N compressional force. (a) What pressure is created, assuming that the disk has a uniform circular cross section 2.00 cm in radius? (b) What deformation is produced if the disk is 0.800 cm thick and has a Young's modulus of 1.5×109 N/m2?
Answer:
\(3978873.58\ \text{Pa}\)
\(0.00002122\ \text{m}\)
Explanation:
F = Force = 5000 N
r = Radius of circular cross section = 2 cm
l = Length of disk = 0.8 cm
A = Area = \(\pi r^2\)
Y = Young's modulus = \(1.5\times 10^9\ \text{N/m}^2\)
Pressure is given by
\(P=\dfrac{F}{A}\\\Rightarrow P=\dfrac{5000}{\pi (2\times 10^{-2})^2}\\\Rightarrow P=3978873.58\ \text{Pa}\)
The pressure on the cross section is \(3978873.58\ \text{Pa}\)
The change in length of the cross section is given by
\(\Delta L=\dfrac{PL}{Y}\\\Rightarrow \Delta L=\dfrac{3978873.58\times 0.8\times 10^{-2}}{1.5\times 10^9}\\\Rightarrow \Delta L=0.00002122\ \text{m}\)
The deformation produced is \(0.00002122\ \text{m}\)
Which example is an abiotic factor of an aquarium environment?
Answer:
See Explanation
Explanation:
salt, water, rocks, sediment, trash.
Abiotic factors are non-living organisms in an ecosystem.
Hope this helps and have a nice day
A Method for Calculating the Spring Constant of Atomic Force Microscopy Cantilevers with a Nonrectangular Cross Section
a. true
b. False
False. A Method for Calculating the Spring Constant of Atomic Force Microscopy Cantilevers with a Nonrectangular Cross Section is not a valid statement.
This is because the spring constant is not affected by the shape of the cantilever, but is instead determined by the material used in its construction, the number of coils in its spring, the wire diameter of its spring, and the amount of tension placed on the spring. Therefore, the statement is incorrect and cannot be used to calculate the spring constant of atomic force microscopy cantilevers with a nonrectangular cross section.
Learn more about Spring Constant of Atomic Force :
https://brainly.com/question/9757504
#SPJ4
Explain why sugar was used in this experiment. How does the experiment relate to a baker adding yeast to bread to make it rise?
Answer:
Yeast can use oxygen to release the energy from sugar (like you can) in the process called "respiration". ... So, the more sugar there is, the more active the yeast will be and the faster its growth (up to a certain point - even yeast cannot grow in very strong sugar - such as honey).
how much work is done by a crane that lowers 1000 N of material a distance of 150 m?
Answer:
Force= 1000 Newtons. Distance= 150 metres. Work= 150000 Joules. So, the work done by crane that lowers 1000 Newton's of a material a distance of 150 meters is 150000 Joules.
how mindset affects learning
Answer: mindsets can affect learning
Explanation: negative mindsets vs positive ones, individually affect someone. As everyone is different, this could differ between certain people(s). Generally, it is thought the more positive the mindset, the more positive the affect.
what causes heat flow
Answer:
Heat flow is the movement of heat.
Explanation:
Heat flows in solids by conduction, which occurs when two objects in contact with each other transfer heat between them. That happens because the molecules hit each other, and the faster moving molecules in the hot object spread that energy into the cooler object
Credit to, https://study.com/academy/lesson/heat-flow-in-solids-fluids.html
a train car moving to the right at 10 m/s collides with a parked train car.they stick together and roll along the track. if the moving car has a mass of 8,000 kg and the parked car has gas of 2,000 kg, what is their combined velocity after the collision
The Dark Matter Halo of our galaxy is The Dark Matter Halo of our galaxy is a halo component curiously absent in most others galaxies which astronomers have examined. the extension or the central bulge into space where dust makes the stellar material too dark to see. a disproven super-gravity concept once thought to be possible, but contradicted by evidence. a massive non-luminous cloud of material that surrounds the galaxy, providing the dominant source of gravity in our galaxy.
Answer:
you mean this halo right
Explanation:
Halo is an American military science fiction media franchise managed and developed by 343 Industries and published by Xbox Game Studios. The franchise and its early main installments were originally developed by Bungie. The central focus of the franchise builds off the experiences of Master Chief John-117, one of a group of supersoldiers codenamed Spartans, and his artificial intelligence (AI) companion, Cortana.
The original trilogy centers on an interstellar war between humanity and an alliance of aliens known as the Covenant. The Covenant, led by their religious leaders called the Prophets, worship an ancient civilization known as the Forerunners, who perished while defeating the parasitic Flood. The eponymous Halo Array are a group of immense, habitable, ring-shaped superweapons that were created by the Forerunners to destroy the Flood, but which the Covenant mistake for religious artifacts that, if activated, would transport them on a Great Journey to meet the Forerunners. They are similar to the Orbitals in Iain M. Banks' Culture novels, and to a lesser degree to author Larry Niven's Ringworld concept.[1][2][3][4]
The games in the series are critically acclaimed, with the original considered the Xbox's "killer app".[5] This led to the term "Halo killer" being used to describe console games that aspire, or are considered, to be better than Halo.[6] Fueled by the success of Halo: Combat Evolved, and by marketing campaigns from publisher Microsoft, its sequels went on to record-breaking sales.[7][8][9] The games have sold over 65 million copies worldwide, with the games alone grossing almost $3.4 billion.[10][11][12] Halo has since become one of the highest-grossing media franchises of all time. These strong sales led to the franchise's expansion to other media; the Halo Universe now spans multiple best-selling novels, graphic novels, comic books, short movies, animated movies and feature films, as well as other licensed products.
T
A motorcycle, travelling cast, starts from rest, moves in a straight line with a constant acceleration and covers a distance of 64 m in 4 s.Calculate a) Its acceleration b) Its final velocity c) At what time the motorcycle had covered half the total distance d) What distance the motorcycle had covered in half the total time.
The motorcycle had covered a distance of 16 meters in half the total time.
a) To calculate the acceleration, we can use the formula:
a = (v - u) / t
where a is the acceleration, v is the final velocity, u is the initial velocity (which is 0 since the motorcycle starts from rest), and t is the time.
Given:
u = 0 m/s (initial velocity)
v = ? (final velocity)
t = 4 s (time)
s = 64 m (distance)
Using the equation of motion:
s = ut + 1/2at^2
We can rearrange the equation to solve for acceleration:
a = 2s / t^2
a = 2(64) / (4)^2
a = 128 / 16
a = 8 m/s^2
Therefore, the acceleration of the motorcycle is 8 m/s^2.
b) To find the final velocity, we can use the formula:
v = u + at
v = 0 + (8)(4)
v = 32 m/s
Therefore, the final velocity of the motorcycle is 32 m/s.
c) To determine the time at which the motorcycle had covered half the total distance, we divide the total distance by 2 and use the formula:
s = ut + 1/2at^2
32 = 0 + 1/2(8)t^2
16 = 4t^2
t^2 = 4
t = 2 s
Therefore, the motorcycle had covered half the total distance at 2 seconds.
d) To calculate the distance covered in half the total time, we use the formula:
s = ut + 1/2at^2
s = 0 + 1/2(8)(2)^2
s = 0 + 1/2(8)(4)
s = 0 + 16
s = 16 m
for such more questions distance
https://brainly.com/question/26550516
#SPJ11
What is an isolated system
?
Answer:
In physical science, an isolated system is either of the following: a physical system so far removed from other systems that it does not interact with them. a thermodynamic system enclosed by rigid immovable walls through which neither mass nor energy can pass
a constant force of magnitude F=45 N and making an angle of 30 to the horizontal is applied on a stationary block placed on the floor over a distance of 8 m. the work done by the force
The work done by the force on the block is approximately 311.2 Joules.
To calculate the work done by the constant force of magnitude F = 45 N over a distance of 8 m at an angle of 30 degrees to the horizontal, we need to find the component of the force that acts parallel to the displacement.
The horizontal component of the force can be calculated using trigonometry:
F_horizontal = F * cos(angle)
= 45 N * cos(30 degrees)
= 45 N * (√3 / 2)
≈ 38.9 N
Now, we can calculate the work done by the force using the equation:
Work = Force * Distance * cos(theta)
where theta is the angle between the force and the displacement.
Work = F_horizontal * Distance * cos(0)
= 38.9 N * 8 m * cos(0)
= 38.9 N * 8 m
= 311.2 Joules
For such more questions on force
https://brainly.com/question/26553026
#SPJ8
Jacob is a white male who has lived in an economically depressed area for his entire life. His mother had him when she was very young, so he lives with her, his grandmother, his uncle, and his little sister in a small appointment. There is not a lot of space, so it is hard for Jacob to concentrate on homework and often he doesn’t do it. Is Jacob at risk for dropping out of high school?
A.
Yes. Jacob’s background suggests a lot of risk factors.
B.
Yes. It is clear that Jacob thinks he can succeed without school.
C.
No. Race is the most important factor in determining which students drop out.
D.
No. Jacob just needs to find a place where he can focus and complete his work.
The environmental and familial challenges he faces indicate an increased risk of dropping out. Yes. Jacob's background suggests a lot of risk factors is the most accurate response. Here option A is the correct answer.
Jacob's situation presents several risk factors that could increase his likelihood of dropping out of high school. First, living in an economically depressed area can limit access to quality educational resources and opportunities, making it harder for Jacob to thrive academically. The lack of space in his small apartment further compounds the problem, as it becomes challenging for him to concentrate on his homework. The absence of a conducive environment for studying can negatively impact his motivation and ability to complete assignments consistently.
Moreover, Jacob's family dynamics may also contribute to his risk of dropping out. Being raised by a young mother, living with his grandmother, uncle, and little sister in a crowded space could imply limited financial resources and potential disruptions at home. These factors may increase stress levels and make it more difficult for Jacob to prioritize his education and engage in school-related activities effectively.
While race and ethnicity can influence educational outcomes, it is essential to consider the specific circumstances and individual factors in Jacob's life rather than assuming that race alone is the most important determinant.
For more such questions on dropping out
https://brainly.com/question/26912307
#SPJ8
a truck of mass 150kg is released from rest at point A and moves along a frictionless truck as shown below
Answer:
Vmax = 34.3[m/s]
Explanation:
We must remember that the definition of energy transformation, which tells us that potential energy is transformed into kinetic energy and vice versa.
Potential energy is defined as the product of mass by gravity by height.
\(E_{p}=m*g*h\)
where:
m = mass = 150 [kg]
g = gravity acceleration = 9.81 [m/s²]
h = elevation = 60 [m]
\(E_{p}=150*9.81*60\\E_{p}=88290 [J]\)
When the height is zero, all the potential energy will have been transformed into kinetic energy, with this kinetic energy we can calculate the velocity.
\(E_{k}=\frac{1}{2} *m*v^{2}\\E_{k}=\frac{1}{2}*150*v^{2}\\88290=0.5*150*v^{2}\\v=\sqrt{\frac{88290}{0.5*150} }\\v=34.3[m/s]\)
The maximum kinetic energy is reached in B
What does a positive slope indicate in both graphs?
Answer:
A positive slope means that two variables are positively related—that is, when x increases, so does y, and when x decreases, y also decreases. Graphically, a positive slope means that as a line on the line graph moves from left to right, the line rises.
An airplane is flying at a velocity of 80 m/s eastward relative to the air. Due to a high-pressure region to the north, the velocity of the air relative to the ground is 14 m/s southward. Find the ground speed of the airplane.
Answer: see attachment work shown
Explanation:
work is shown below,
A car traveling at 31 m/s runs out of gas while traveling up a 7.0 ∘ slope. How far will it coast before starting to roll back down?
I tried using a=g in a kinematic equation but my homework hint said my "a" value is incorrect.
Hi there!
On an incline, the acceleration due to gravity is: (g = 9.81 m/s²)
a = gsinФ ≈ 1.196 m/s²
We can use the following kinematic equation to solve:
vf² = vi² + 2ad
Since the car will start to roll back when v = 0 m/s, we can write that vf = 0.
0 = vi² + 2ad
Plug in values:
0 = 31² + 2(-1.196)(d)
Rearrange for d:
31²/(2.392) = d
d = 401.756 m
The car will coast for 7885.49 meters before starting to roll back down.
The car is subject to two forces: the force of gravity, which is pulling it down the hill, and the force of friction, which is trying to slow it down. The force of friction is equal to the coefficient of friction between the tires and the road multiplied by the normal force, which is equal to the weight of the car.
The car will stop coasting when the force of gravity is equal to the force of friction. We can set up an equation to find the distance the car will coast before stopping:
d = (\(v^{2}\)) / (2 * μ * g * sin(θ))
where:
d is the distance the car will coast before stopping
v is the initial speed of the car
μ is the coefficient of friction between the tires and the road
g is the acceleration due to gravity
θ is the angle of the slope
Plugging in the values from the problem, we get:
d = \((31 m/s)^2\) / (2 * 0.01 * 9.8 m/\(s^{2}\) * sin(7.0°))
d = 7885.49 meters
Therefore, the car will coast for 7885.49 meters before starting to roll back down.
To know more about car here
https://brainly.com/question/31448756
#SPJ3
an ellipse is the locus of points in a plane such that the sum of the distances from any point in the locus to two points, called the foci, is a .
An ellipse is the location of all the points in a plane whose distances from two fixed points in the plane add up to a constant value. The foci, or singular focus, are the fixed points that are encircled by the curve.
what is an ellipse?In mathematics, an ellipse is the location of points in a plane so that their separation from a fixed point has a fixed ratio of "e" to their separation from a fixed line (less than 1). The conic section, which is the intersection of a cone with a plane that does not intersect the base of the cone, includes the ellipse. The fixed point is called the focus and is denoted by S, the constant ratio 'e' as the eccentricity, and the fixed line is called as directrix (d) of the ellipse.
learn more about ellipse here:
brainly.com/question/25723170
#SPJ1
a cleaner pushes a 4.50 kg laundry cart in such a way that the net external force on it is 60.0 N. Calculate the magnitude of it's accerlation
Answer:
Explanation:
F = ma so filling in:
60.0 = 4.50a and
a = 13.3 m/s/s
A Wheatstone Bridge type circuit is shown (10marks) R1=20ohms, R2=10ohms, R3=8ohms, R4=5ohms, and R5=2ohms and also has 10V battery. Determine A. the p.d. between terminals B and D, and (5 marks) B. The value to which R4 must be adjusted in order to reduce the current through R3 to zero (balance the bridge). (5marks)
Answer:
Dunno
Explanation:
Dunno
You put your book on the bus seat next to you. When the bus stops suddenly the book slides forward off the seat. Why?
A.) The book received a push from the seat hitting it.
B.) The force applied by the bus caused it to accelerate forward.
C.) The book's inertia carried it forward.
D.) The book could never slide forward to begin with.
Answer:
C) The book's inertia carried it forward.
When the bus stops suddenly, the book tends to remain in motion due to its inertia. The book was at rest on the seat of the bus, and when the bus stopped suddenly, the book continued moving forward with the same speed and direction it had before the bus stopped. As a result, the book slid off the seat and onto the floor.
If you ride a bicycle 36 m in 12 seconds, what is your speed?
O A. 0.3 m/s
O B. 3 m/s s
O C. 0.09 m/s
/
D. 2 m/s
Answer:
3m/s
Explanation:
Speed is distance/time,
36m/12s = 3m/s