Answer:
The correct option is a: 214 nm.
Explanation:
The wavelength (λ) of the light can be calculated as follows:
[tex] \lambda = \frac{yd}{nD} [/tex] (1)
Where:
y: is the distance of the 7th bright fringe on the screen from the central fringe = 10.0 cm
d: is the distance between the slits = 3.00x10⁻⁵ m
D: is the distance between the screen and the slits = 2.00 m
n = 7
By entering all the above values into equation (1) we have:
[tex] \lambda = \frac{yd}{nD} = \frac{0.10 m*3.00 \cdot 10^{-5} m}{7*2.00 m} = 214.3 nm [/tex]
Therefore, the correct option is a: 214 nm.
I hope it helps you!
if a metal block has as a volume of .035 mL, and a mass of 765.0 mg, what is the density of the block in g/mL?
Given parameters:
Volume of metal block = 0.035mL
Mass of block = 765mg
Unknown:
Volume of metal block = ?
Solution:
Density is the mass per unit volume of a substance.
Density = [tex]\frac{mass}{volume}[/tex]
Mass is the amount of matter in a substance
Volume is space occupied by a substance
Mass of the block in g;
765mg = 765 x 10⁻³ g
= 0.765g
Density = [tex]\frac{0.765}{0.035}[/tex] = 21.86g/mL
The density of the metal block is 21.86g/mL
What does refractive index mean?
median of 18 24 17 21 24 16 29 18
Answer:
19.5
Explanation:
16,17,18,18,21,24,24,29
(fourth (18) and fifth(21)) ÷2=
(18+21)÷2=
39÷2=
19.5 is median
the refractive index is the blank of the speed of light in a medium to the speed of light in a vacuum
Answer:
ratio
Explanation:
Apex Verified
what were formed after the big bang theory?
Answer:
neutrons protons electrons
Explanation:
after the Big Bang, the universe was filled with neutrons, protons, electrons, anti-electrons, photons and neutrinos.
The temperature of a cup of coffee varies according to Newton's Law of Cooling: dT dt equals negative k times the quantity T minus A, where T is the temperature of the coffee, A is the room temperature, and k is a positive constant. If the coffee cools from 100°C to 90°C in 1 minute at a room temperature of 25°C, find the temperature, to the nearest degree Celsius of the coffee after 4 minutes.
74
67
60
42
Answer:
Explanation:
Writing out the Newton's Law pf Cooling:
dT/dt = -k * (T - A),
where T is the temperature of the coffee, A is the room temperature, and k is a positive constant.
If the coffee cools from 100°C to 90°C in 1 minute at a room temperature of 25°C,
T = 100
A = 25
dT = 100 - 90 = 10
dt = 1
Putting the figures into the equation:
10/1 = -k * (100 - 25)
k = -10/75°C
After 4 minutes, dT/4 = 10/75 (100 - 25) = 10
dT = 40
Temperature after 4 minutes = 100 - 40 = 60°C
The temperature of a cup of coffee varies according to Newton's Law of Cooling, the temperature of the coffee after 4 minutes is approximately 67°C.
To tackle this problem, we can apply Newton's Law of Cooling's differential equation and solve it using variable separation.
dT/dt = -k(T - A)
At t = 0 (initial condition): T = 100°C
At t = 1 minute: T = 90°C
dT/dt = -k(T - A)
At t = 0: dT/dt = -k(100 - 25)
So,
-10 = -k(75)
k = 10/75
Separating variables and integrating, we have:
1/(T - A) dT = -k dt
∫(1/(T - A)) dT = ∫(-k) dt
ln|T - A| = -kt + C
ln|100 - 25| = 0 + C
ln|75| = C
So, the equation will be:
ln|T - A| = -kt + ln|75|
ln|(T - 25)/(75)| = -kt
Now,
ln|((T - 25)/(75))| = -(10/75)(4)
|((T - 25)/(75))| = [tex]e^{(-40/75)[/tex]
T - 25 = ± 75 * [tex]e^{(-40/75)[/tex]
T = 25 ± 75 * [tex]e^{(-40/75)[/tex]
T ≈ 25 ± 42.42
Therefore, the temperature of the coffee after 4 minutes is approximately:
T ≈ 25 + 42.42 = 67.42°C
Thus, the temperature of the coffee after 4 minutes is approximately 67°C.
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Can someone help me please :( ASAP. Also I’m sorry if it’s small
Answer:
Graph #2
Explanation:
Notice, on the position time graph, there is a constant rate of change. This means that there is a constant velocity, meaning it's a straight line. The line is decreasing so the velocity will be negative.
difference between text-talk novel and flash fiction?
See the flash fictions are small nov.els with para.graphs where as ch*.t story is a storyline that just look like some c
c.h.*.t.s.
Both "text-talk novels" and "flash fiction" are forms of written literature, but they have distinct characteristics and purposes.
Text-Talk Novel:
A text-talk novel, also known as a "chat novel" or "text-message novel," is a narrative written in the style of text messages or chat conversations. These novels are typically composed of short, informal messages exchanged between characters, presented in a way that resembles conversations on messaging apps. Text-talk novels often use emojis, abbreviations, and informal language to create a sense of immediacy and relatability. They are designed to be read on mobile devices and appeal to readers who are used to communication through texting and social media platforms. Text-talk novels often cater to a younger audience and can cover various genres, from romance to mystery.
Flash Fiction:
Flash fiction, also known as "microfiction," "short-short stories," or "sudden fiction," refers to extremely short works of fiction characterized by their brevity. Flash fiction stories are typically no longer than 1,000 words, and often much shorter. Despite their limited length, flash fiction stories aim to convey a complete narrative, evoke emotions, and leave a lasting impact on the reader. Due to their concise nature, flash fiction stories often focus on a single idea, moment, or theme, and they require skillful crafting to create a meaningful story within a tight word count. Flash fiction can cover a wide range of genres and styles, and its brevity challenges writers to distill their storytelling abilities to essentials.
Hence, a "text-talk novel" is a novel written in the style of text messages or chat conversations, aiming to engage readers familiar with mobile communication. On the other hand, "flash fiction" refers to very short stories that convey complete narratives or ideas within a limited word count, challenging writers to create impactful stories in a condensed format.
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which types of star cluster is shown
Open star clusters tend to orbit within the disk. Globular star clusters contain hundreds of thousands of stars, and some – like Omega Centauri, shown above – contain millions of stars. Open star clusters tend to contain only hundreds of stars.
An experiment is set up to determine the speed of charged particles as they move through a region that is traversed by a constant electric and a constant magnetic field. The particles are moving toward the right of the page when they encounter the region. The electric field points toward the top of the page, and the magnetic field points out of the page. Required:
Predict how the positively and negatively charged particles of various speeds will behave in this experiment
The deflection will be toward the backside for bad cost and closer to the pinnacle of the spread page for the high-quality charge.
What are charged particles?Charged particles are simply defined as particles with an electric charge on them. This may sometimes result in being an ion, as a molecule with excess or a reduced amount of electrons relative to protons.
Generally, the Magnetic area points internal the airplane so through fleming left hand rule is
F = q ( V x B). Ie
hence
qVB = qE
V= E/B then no deflection.
V > E/B then magnetic pressure is dominant over electric powered force.
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The space station Babylon 5 has a diameter of 1 miles, and rotated around its long axis to produce artificial gravity for its inhabitants. It completes 1 revolutions/min. Calculate the effective gravitational strength at the outer rim of the station, in units of g. (use g = 9.81 m/s^2)
This question involves the concept of artificial gravity.
The effective gravitational strength at outer rims is "0.9 g".
Artificial GravityThe effective gravitational strength at the outer rims can be given by the following formula:
[tex]v=\frac{1}{2\pi}\sqrt{\frac{a_c}{r}}\\\\a_c=4\pi^2v^2r[/tex]
where,
[tex]a_c[/tex] = effective gravitational strength = ?v = rotational speed = 1 rev/min = 0.0167 rev/sr = radius = diameter/2 = 1 mile/2 = 0.5 miles = 804.672 mTherefore,
[tex]a_c = 4\pi^2(0.0167\ rev/s)^2(804.672\ m)\\a_c =8.82\ m/s^2\\\\In\ terms\ of\ g:\\\\a_c=(8.82\ m/s^2)(\frac{g}{9.81\ m/s^2})\\\\a_c = 0.9g[/tex]
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A car driving down a street has a kinetic energy of 32,000 J. If the car has a mass of 1,600kg, at what velocity is the car moving?
Explanation:
The mechanical energy can be expressed as kinetic and potential energy, given by the equation;
ME=KE+PE
but since the car isn't elevated off the ground nor is it subjected to the restoring force of a spring, we can then say PE=0
ME=KE
The equation of KE=0.5mv²
ME=0.5mv²
32 000=0.5(1600)v²
[tex]v {}^{2} = \frac{32 \: 000}{1600 \times 0.5} [/tex]
[tex]v {}^{2} = \frac{32 \: 000}{800} [/tex]
[tex] {v}^{2} = 40[/tex]
[tex]v = \sqrt{40} = 6.324[/tex]
v=6.324 m/s :)
A Home Depot worker pushes a lumber cart loaded with a mass of 115 kilograms of lumber. If he accelerates the cart with an acceleration 5.6m/s^2 what is the amount of force the worker applied.
Answer:
use math.way
Explanation:
i solved it.
A rock weighing 250N falls from a height of 16 m and falls towards the ground. Determine the momentum of the rock prior to striking the ground.
Answer: I'm not very good at all. I need help with determine the velocity of an object just before it hits the ground, given the object's mass and the distance it falls. For example, a .060 kg (or 60 g) ball falls from a 12 meter building. Also, assume it is free falling (no air resistance) and the average time it takes to hit the ground it 1.16 seconds.
Explanation:
An unbalanced force of 20 N is applied to a 10 kg mass. What is the acceleration of the mass?
Answer:
2 m/s2
Explanation:
Newton's 2nd law:
F=ma
20 N= (10 kg)a
a= 2 m/s2
The current is 0.720 A in a circuit in which a battery of emf 12.0 V is connected to a resistor of resistance 14.5 Ω. Find the potential difference across the terminals of the battery.
Answer:
explain the meaning of the term work done and give an example of where work is done
will there be a mega tsunami like in the movie tidal wave from 2009?
Select the correct answer.
What is proper technique for lifting?
A.
Bend your back
B.
Bend at your knees and lift with your legs.
C.
Focus your power from your back.
D.
None of the above
Answer:
B
Explanation:
Answer:
i think it's either B or C
Explanation:
What do you need to do before you can make a hypothesis?
An object on the surface of the earth weighs 90 lb. At two earth radii above the surface, It will welgh:
270 lb.
10 lb.
90 lb.
30 lb.
What happens to pressure if temperature increases?
What does it mean to say that mass is conserved during a physical change
Answer: When there is no change in chemical composition of a substance then it is known as physical change. When we say that mass is conserved during a physical change then it means that total mass of the substance or object will remain the same from beginning till the end
Answer:
Sample Response: When a physical change occurs, the mass of the substance is conserved. This means that the total mass of the substance remains the same from beginning to end. The physical properties of the substance, such as size and shape, may change, but the amount of matter in the substance does not change.
Explanation:
Why is the international system of measurement helpful?
a.
They are not in English.
c.
All scientists can use them.
b.
No scientists can use them.
d.
They are easy to remember.
Please select the best answer from the choices provided
A
B
C
D
International system of measurements in helpful because all scientists can use them
International System of measurement abbreviated SI is the modern most widely accepted system of unit of measurement
Time management skills include
A. A personal mission statement, prioritizing, and deep breathing.
B. Setting objectives, knowing your limits, and reviewing.
C. Avoiding distractions, setting dreams, and budgeting time.
D. Budgeting time, avoiding stress, and prioritizing.
Answer:
D.
Explanation:
Budgeting time, avoiding stress, and prioritizing.
A balloon with a negative charge of -2.0×10-8 C is held 2 cm (0.02 m) below a rod with a positive charge of 2.0×10-8 C. What is the force between the balloon and the rod?
The force of attraction between the balloon and the rod is 9 x 10⁻³ N.
Force of attraction between the balloon and the rodThe force of attraction between the balloon and the rod is calculated by applying Coulomb's law as shown below;
[tex]F = \frac{kq_1 q_2}{r^2}[/tex]
where;
r is the distance between the chargesk is Coulomb's constant = 9 x 10⁹ Nm²/C²F = (9 x 10⁹) x (2.0 x 10⁻⁸)²/(0.02)²
F = 9 x 10⁻³ N
Thus, the force of attraction between the balloon and the rod is 9 x 10⁻³ N.
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[tex]\:\:\:\:\:\:\:\:\:\:\star [/tex]We can calculate the force between the balloon and the rod applying "Coulomb's Law". Which states-
[tex]\:\:\:\:\:\:\:\:\:\:\star\:\sf \underline{F_{(air)} = K\times \dfrac{ q_1 q_2}{r^2}} \\ [/tex]
[tex] \:\:\:\:\:\:\:\:\:\:\star\:\sf\underline{F_{(air)} = \dfrac{1}{4\pi \epsilon_{0} } \dfrac{q_1q_2}{r^2} }\\ [/tex]
Where-
q₁ and q₂ are the two cahrges.r is the distance between the charges.[tex]\sf \epsilon_{0} [/tex] is the permittivity of free space.K is the Coulomb's Constant.k = 9×10⁹ Nm²/C²As per question, we are given that -
q₁= 2.0 x 10⁻⁸Cq₂= -2.0 x 10⁻⁸CDistance,r = 0.02 mNow that required values are given, so we can substitute the values into the formula and solve for Force -
[tex] \:\:\:\:\:\:\:\:\:\:\star\:\sf\underline{F_{(air)} = \dfrac{1}{4\pi \epsilon_{0} } \dfrac{q_1q_2}{r^2} }\\ [/tex]
[tex] \:\:\:\:\:\:\:\longrightarrow \sf Force_{(air)}= 9\times 10^9 \times \dfrac{-2\times 10^{-8}\times 2\times 10^{-8} }{(0.02)^2}\\ [/tex]
[tex] \:\:\:\:\:\:\:\longrightarrow \sf Force_{(air)}= -9\times 10^9 \times\dfrac{4\times10^{-16}}{4\times 10^{-4}}\\ [/tex]
[tex] \:\:\:\:\:\:\:\longrightarrow \sf Force_{(air)}= -9\times 10^9 \times\dfrac{\cancel{4}\times10^{-16}}{\cancel{4}\times 10^{-4}}\\ [/tex]
[tex] \:\:\:\:\:\:\:\longrightarrow \sf Force_{(air)} = -9\times 10^9 \times 10^{-16} \times 10^{4}\\ [/tex]
[tex] \:\:\:\:\:\:\:\longrightarrow \sf Force_{(air)} = -9\times 10^9 \times 10^{-16+4} \\ [/tex]
[tex] \:\:\:\:\:\:\:\longrightarrow \sf Force_{(air)} = -9\times 10^9 \times 10^{-12} \\ [/tex]
[tex] \:\:\:\:\:\:\:\longrightarrow \sf Force_{(air)} = -9\times 10^{9-12}\\ [/tex]
[tex] \:\:\:\:\:\:\:\longrightarrow \sf Force_{(air)} = -9\times 10^{-3}\\ [/tex]
[tex] \:\:\:\:\:\:\:\longrightarrow \sf \underline{Force_{(air)} = -9\times 10^{-3}\:N}\\ [/tex]
Therefore,the force between the balloon and the rod is -9 x 10⁻³ N.The projectile motion of an object can
be described by two independent
vector components that are
______
Answer:
perpendicular
Explanation:
The projectile motion of an object can be described by two independent vector components that are horizontal and vertical motion.
What is projectile motion?The motion of an item hurled or projected into the air, subject only to gravity's acceleration, is known as projectile motion.
The item is known as a projectile, and the course it takes is known as a trajectory. Falling object motion is a simple one-dimensional kind of projectile motion with no horizontal movement.
The projectile's motion is divided into two parts: horizontal and vertical motion.
Because perpendicular motion components are independent of one another, these two motion components may be treated individually.
Hence two independent vector components are horizontal and vertical motion.
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In order to compare the thermal conductivities of two different insulators, a scientist pours hot water into two
beakers.
The different insulators are wrapped around the beakers.
The scientist records the initial temperatures of the hot water.
a) State two factors that should be kept constant in order to make the experiment fair.
A car accelerates from rest. It reaches a velocity of 25m/s in 10 seconds. What was the cars acceleration
Answer:
a = 2.5 m/s^2
Explanation:
u = 0
v = 25
t = 10
(using first eq. of motion)
a = (v - u) /t
a = (25 - 0) /10
a = 25/10
a = 2.5 m/s^2
During meiosis maternal and paternal chromosomes that occur in a gamete line up and exchange segments in a process called crossing over. Then they are randomly shuffled as the cell divides. This process results in
Explanation:
Crossing over is the swapping of genetic material that occurs in the germ line. During the formation of egg and sperm cells, also known as meiosis, paired chromosomes from each parent align so that similar DNA sequences from the paired chromosomes cross over one another.
Answer:
Explanation:
After cross-over, the chromosomes are randomly shuffled to the daughter cells as the cell divides. This process results in in gametes that with unique combinations of chromosomes and is called independent assortment.
Bumper car A (296 kg) moving +3.74 m/s makes an
elastic collision with bumper car B (222 kg) moving
+1.85 m/s. What is the velocity of car A after the
collision?
For a bumper car A (296 kg) moving +3.74 m/s, and a bumper car B (222 kg) moving +1.85 m/s, the velocity of car A after the collision is mathematically given as
V1=4.977m/s
What is the velocity of car A after the collision?Generally, the equation for the Velocity of car A is mathematically given as
[tex]V1=\frac{m1-m2v1}{m1+m2}v1 +\frac{2m_2}{m1+m2}v2[/tex]
Therefore
[tex]V1=\frac{296-222}{296+222}*23.74+\frac{2*222}{296+222}*1.85[/tex]
V1=4.977m/s
In conclusion, The velocity of car A after the collision
V1=4.977m/s
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Answer:3.74
Explanation:
it was given same goes for bumper car b