Answer:
m = 4
Explanation:
It is given that,
A 100 Newton force applied to a machine lifts a 400 N object.
We need to find the mechanical advantage of this machine.
The mechanical advantage of a machine is given by the ratio of output force to the input force.
Here, output force is 400 N and input force is 100 N
So, mechanical advantage becomes :
[tex]m=\dfrac{400}{100}\\\\m=4[/tex]
So, the mechanical advantage of this machine is 4.
The actual mechanical advantage of this machine will be:
"4".
ForceA force represents a pushing as well as pulling on such material or item caused by its contact with some other thing.
According to the question,
Input force = 100 N
Output force = 400 N
Now,
The mechanical advantage be:
→ m = [tex]\frac{Out. \ force}{Inp. \ force}[/tex]
By substituting the values, we get
= [tex]\frac{400}{100}[/tex]
= 4
Thus the above response is appropriate.
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Using a refracting telescope, you observe the planet Mars when it is 1.95 × 10 11 m from Earth. The diameter of the telescope's objective lens is 0.977 m . What is the minimum feature size, in kilometers, on the surface of Mars that your telescope can resolve for you? Use 561 nm for the wavelength of light.
Answer:
The minimum feature size is 136.6 km.
Explanation:
It is given that,
Distance from planet Mars and Earth is, [tex]D=1.95\times 10^{11}\ m[/tex]
Diameter of the objective lens, d = 0.977 m
We need to find the minimum feature size, on the surface of Mars that your telescope can resolve for you. The expression for resolving distance is given by :
[tex]y=\dfrac{1.22D\lambda}{d}\\\\y=\dfrac{1.22\times 1.95\times 10^{11}\times 561\times 10^{-9}}{0.977 }\\\\y=136603.78\ m\\\\y=136.6\ km[/tex]
So, the minimum feature size is 136.6 km.
A negative charge of - 8.0 x 10^-6 C exerts an attractive force of 12 N on a second charge that is
0.050 m away. What is the magnitude of the second charge?
Answer:
Magnitude of the second charge is [tex]-4.17*10^{-7}C[/tex]Explanation:
According to columbs law;
F = [tex]kq1q2/r^{2}[/tex]
F is the attractive or repulsive force between the charges = 12N
q1 and q2 are the charges
let q1 = - 8.0 x 10^-6 C
q2=?
r is the distance between the charges = 0.050m
k is the coulumbs constant =9*10⁹ kg⋅m³⋅s⁻⁴⋅A⁻²
On substituting the given values
12 = 9*10⁹*( - 8.0 x 10^-6)q2/0.050²
Cross multiplying
[tex]0.03=9*10^{9}* -8.0*10^{-6} q2\\0.03 = -72*10^{3} q2\\q2 = \frac{0.03}{ -72*10^{3}} \\q2 = -4.17*10^{-7}C[/tex]
Answer:
q₂ = + 4.17 x 10⁺⁷ C
Explanation:
From Coulomb's Law, we know that force of attraction or repulsion between two charges is given by:
F = kq₁q₂/r²
where,
F = force = 12 N
k = Coulomb's Constant = 9 x 10⁹ Nm²/C²
q₁ = magnitude of 1st charge = 8 x 10⁻⁶ C
r = distance between charges = 0.05 m
q₂ = magnitude of second charge = ?
Therefore,
12 N = (9 x 10⁹ Nm²/C²)(8 x 10⁻⁶ C)(q₂)/(0.05 m)²
0.03 Nm² = (72000 Nm²/C²)(q₂)
q₂ = (0.03 Nm²)/(72000 Nm²/C²)
q₂ = + 4.17 x 10⁺⁷ C
It is a positive charge, because there is attraction between opposite charges only.
Which statement best describes the relationship between
literary form and genre?
Form usually determines the genre
Genre usually determines the form
Form and genre are synonyms
Neither form nor genre usually determines the other. They coexist and influence each other to create diverse literary works. Form is a tool authors use to express their ideas and stories, while genre provides a framework and context within which these ideas are explored.
The relationship between literary form and genre is a nuanced one, and it's not accurate to suggest that one usually determines the other. Instead, they are interrelated but serve different functions in the world of literature.
Form and Genre Defined:
Form: Literary form refers to the structure or style in which a piece of writing is composed. It encompasses elements such as rhyme scheme, narrative perspective, and literary techniques.
Genre: Genre, on the other hand, refers to the category or classification of literature based on shared characteristics and conventions. Common literary genres include fiction, non-fiction, poetry, drama, mystery, romance, science fiction, and more.
Interplay Between Form and Genre:
Form's Influence on Genre: While form can influence genre to some extent (e.g., sonnets are a form often used in love poetry), it doesn't rigidly determine it. Many genres can be written in various forms. For instance, a mystery novel can be written in first-person narrative form or third-person omniscient form.
Genre's Influence on Form: Genre does influence form by setting certain expectations. For example, a sonnet is expected to follow specific rhyme and meter patterns because it's often associated with love poetry.
Synonymy Misconception:
It's incorrect to consider form and genre as synonyms. They are distinct but interconnected aspects of literature.
Literature can exist in various forms within a single genre, and a single form can be used across different genres.
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Form usually determines the genre, with literary form referring to structure and organization, and genre involving characteristics and conventions of a literary work.
The statement that best describes the relationship between literary form and genre is that Form usually determines the genre. Literary form refers to how a narrative is structured and organized, such as through sentences, paragraphs, dialogue, or poetic lines and stanzas. On the other hand, genre is a set of characteristics that make up a type of literary work, which could include conventions, themes, styles, and settings. Genres shape audience expectations and experiences, while forms provide the vessels through which stories are communicated.
For example, fiction is typically written using sentences and paragraphs as its form, expressing stories through prose. Poetry, with its distinct form, utilizes lines and stanzas to create lyrical and rhythmic expressions. Drama, as a form, is predominantly written in dialogue and designed for performance.
The choice of form can influence and sometimes determine the genre, as certain forms fit better with specific genres due to their unique characteristics and reader expectations. Hence, form and genre work together to create a cohesive and identifiable work of literature.
Do magnets stick to all metal?
Answer:
No, only metal with magnetic properties.
Explanation:
Brass, Gold, Silver, are just some examples of metal magnets cannot stick on.
~
So far in this tutorial, you have been launching a pumpkin. Let's see what happens to the trajectory if you launch something bigger and heavier, like a car. Compare the trajectory and range of the pumpkin to that of the car, using the same initial speed and angle (e.g., 45∘). (Be sure that air resistance is still turned off.) Which statement is true? So far in this tutorial, you have been launching a pumpkin. Let's see what happens to the trajectory if you launch something bigger and heavier, like a car. Compare the trajectory and range of the pumpkin to that of the car, using the same initial speed and angle (e.g., ). (Be sure that air resistance is still turned off.) Which statement is true? The trajectories differ; the range of the car is longer than that of the pumpkin. The trajectories differ; the range of the car is shorter than that of the pumpkin. The trajectories and thus the range of the car and the pumpkin are identical.
Answer:
The trajectories and thus the range of the car and the pumpkin are identical.
Explanation:
Trajectory of projectile is given by
[tex]Y=x \tan \theta-\frac{gx^2}{2u^2 \cos \theta ^2}[/tex]
Also range is given by,
[tex]R=\frac{u^2 \sin 2 \theta}{g}[/tex]
Trajectory and path both are independent on mass. Only depends on initial speed u and angle of projection [tex]\theta[/tex]
So Range and Trajectory both will be same.
Identical trajectory and equal range.
Therefore, The trajectories and thus the range of the car and the pumpkin are identical.
Answer:
The trajectories and thus the range of the car and the pumpkin are identical.
Explanation:
Predict what will be observed in each experiment below. experimentpredicted observation (choose one) A student sees tiny bubbles clinging to the inside of an unopened plastic bottle full of carbonated soft drink. The student squeezes the bottle. The bubbles will shrink, and some may vanish.The bubbles will grow, and more may appear.The bubbles won't change.I need more information to predict what will happen to the bubbles. A student sees tiny bubbles clinging to the inside of an unopened plastic bottle full of carbonated soft drink. The student opens the bottle, and hears a loud hiss as gas under pressure escapes from the bottle. The bubbles will shrink, and some may vanish.
Answer:
A
Explanation: The bubbles will shrink , some may vanish. SInce the bottle is unopened , squeezing the bottle will increase the pressure on the ca p.
Answer:
B) The bubbles will grow, and more may appear.
Explanation:
there is a bell at the top of a tower that is 45m high. the bell has a mass of 18kg. the bell has what energy
Answer:
the bell has potential energy equal to,
18 x 9.8 x 45 = 7938 joules
how to find the resultant force of charges in an equilateral triangle
Answer:use the triangle formula
Explanation:
You hold a piece of wood in one hand and a piece of iron in the other. Both pieces have the same volume, and you hold them fully under water at the same depth. At the moment you let go of them, which one experiences the greater buoyancy force?
a. The piece of wood.
b. The piece of iron.
c. They experience the same buoyancy force.
d. More information is needed.
Final answer:
Both the piece of wood and the piece of iron will experience the same buoyancy force because, according to Archimedes' Principle, the buoyant force depends only on the volume of the water displaced, which is equal for both objects since they have the same volume. Option C is correct.
Explanation:
The question asks which one of the two objects held fully under water, a piece of wood or iron with the same volume, will experience the greater buoyancy force upon release.
The answer is c. They experience the same buoyancy force. According to Archimedes' Principle, the buoyant force on an object submerged in a fluid is equal to the weight of the fluid displaced by the object. Since both the piece of wood and the piece of iron have the same volume and are submerged to the same depth, the volume of water displaced by each is the same. Therefore, the weight of water displaced by each object is the same, which means the buoyancy force experienced by both objects is the same, regardless of their densities or materials.
Multiple lunar eclipses occur each year. How is it possible that each one can look different than the others? Explain.
Answer:
Because they don’t happen every month, a lunar eclipse is a special event. Unlike solar eclipses, lots of people get to see each lunar eclipse. If you live on the nighttime half of Earth when the eclipse happens, you’ll be able to see it. Remembering the Difference. It’s easy to get these two types of eclipses mixed up.
Explanation:
Final answer:
Multiple factors, including visibility, atmospheric conditions, and Earth's shadow, can cause each lunar eclipse to look different.
Explanation:
A lunar eclipse can look different each time due to several factors:
Visibility: Depending on the position of the Moon, its distance from the Earth, and the Earth's location in its orbit, the lunar eclipse may appear more or less visible. This can result in variations in brightness and coloring.Atmospheric Conditions: Weather conditions, such as clouds or pollution, can affect the appearance of a lunar eclipse. These factors can cause the Moon to appear dimmer or alter the color during an eclipse.Earth's Shadow: The angle at which the Moon enters the Earth's shadow can also influence the appearance. Different angles can result in varying degrees of darkness and shading on the lunar surface.These factors combined contribute to the unique appearance of each lunar eclipse, making each one a distinct astronomical event.
An atom's emission of light with a specific amount of energy confirms that
Answer:
An atom’s emission of light with a specific amount of energy confirms that electrons emit and absorb energy based on their position around the nucleus. The light emitted from an electron is a result of the electron's quantum jumps/leaps ( atomic electron transitions ) to and from different energy levels.
An electron in a TV is accelerated toward the screen. The potential between the back of the tube and the screen is 22,000 V (which is why it is a VERY good idea not to play around TV picture tubes). How much kinetic energy does the electron lose when it strikes the TV screen?
Answer:
The kinetic energy lost by the electron ΔK.E is 3.5244 × 10⁻¹⁵ J
Explanation:
Here we have;
Change in electric potential, ΔV, of the screen = 25000 V
The energy gained by the electron can be derived from the relation of change in electrical potential energy, ΔEPE, as follows;
ΔEPE = -Charge, q × ΔV
Therefore, since charge, q = -1.602 × 10⁻¹⁹ C we have;
ΔEPE = -(-1.602 × 10⁻¹⁹ C) × 25,000 V = 3.5244 × 10⁻¹⁵ C·V =
Also, since the electron is accelerated to the screen by the electrical potential energy, we have;
From the principle of conservation of energy in a given system;
The change in potential energy, ΔEPE of the electrons = Change in kinetic energy, ΔK.E, of the electrons3.5244 × 10⁻¹⁵ J
[tex]\Delta KE = \frac{1}{2} \cdot m \cdot v_f^2 - \frac{1}{2} \cdot m \cdot v_i^2[/tex]
Where:
m = Mass of the electron = 9.11 × 10⁻³¹ kg
[tex]v_i[/tex] = Initial velocity of the electrons = 0 m/s (electrons at rest)
[tex]v_f[/tex] = Final velocity of the electrons
[tex]\therefore \Delta KE = \frac{1}{2} \cdot m \times (v_f^2 - \cdot v_i^2)[/tex]
[tex]\therefore \Delta KE = \frac{1}{2} \cdot m \times (v_f^2 - 0) = \frac{1}{2} \cdot m \cdot v_f^2[/tex]
Hence;
The kinetic energy lost by the electron ΔK.E = ΔEPE = 3.5244 × 10⁻¹⁵ J.
You have observed that it is possible that some of your organization's projects may end up having little or no value after they are completed. You are tasked with selecting potential future projects. Which type of projects would you recommend the organization consider?
a) only those projects that require a low budget
b) only those projects that other organizations have successfully completed
c) only projects similar to projects the team is experienced with
d) only those projects that are tied to specific organizational goals
Iron reacts with sulfur to form iron sulfide. If 60 grams of iron reacts with sulfur to produce 90 grams of iron sulfide, how much sulfur has been used in the chemical reaction?
Answer:
34.44 g.
Explanation:
The balanced equation for the reaction is:Fe + S → FeS,It is clear that 1.0 mol of Fe reacts with 1.0 mol of S to produce 1.0 mol FeS.We need to calculate the no. of moles of 60 grams of iron and 90 grams of iron sulfide:no. of moles of Fe = mass/atomic mass = (60.0 g)/(55.845 g/mol) = 1.074 mol.no. of moles of FeS = mass/molar mass = (90.0 g)/(87.91 g/mol) = 1.024 mol.∵ Fe reacts with S with (1: 1) molar ratio.∴ The no. of moles of S needed to react with Fe is 1.074 mol.∴ The no. of grams of S needed = no. of moles x molar mass = (1.074 mol)(32.065 g/mol) = 34.44 g.
1. Explain Why is Great
Britain's climate milder than
Newfoundland's?
Great Britain's climate is milder than Newfoundland's primarily due to the warming influence of the Gulf Stream, which brings warm tropical waters to the western coast of Europe. Additionally, the surrounding waters and geographical features also have a moderating effect on the climate.
The climate in Great Britain is milder than in Newfoundland due to the influence of the Gulf Stream. This ocean current transports warm water from the tropics northward along the western coast of Europe, which moderates temperatures.
Great Britain benefits from this effect, having a type C climate characterized by more temperate weather despite its northern latitude. On the other hand, Newfoundland, located on the eastern coast of Canada, does not receive the same warming benefits of the Gulf Stream, resulting in harsher winters and a more extreme climate.
Different geographical features also contribute to climatic variations. The presence of surrounding water bodies and the moderating effect of the ocean help to maintain a more stable, moderate climate. Coastal areas are generally warmer in the winter and cooler in the summer due to the ocean's temperature regulating properties. Meanwhile, Newfoundland experiences a colder climate partly because it is further from the moderating influence of the Gulf Stream and also because it is more removed from other major bodies of water compared to Great Britain.
The nuclear equation is incomplete.
What particle completes the equation?
Answer: C
Explanation: 1+7 = 6+2 =8 -protons
1+15 = 12+4 = 16 - protons +neutrons
The complete equation for the given nuclear reaction can be represented as:
[tex]\ce {^{1}_{1}H}+ \ce {^{15}_{7}N}\longrightarrow \; \ce {^{12}_{6}C} + \ce {^{4}_{2}He}[/tex]
What is the nuclear reaction?In nuclear chemistry, a nuclear reaction can be defined as a nuclear process in which two nuclei and subatomic particles, collide to produce one or more new nuclides. Therefore, a nuclear reaction will be caused a transformation of one nuclide to another nuclide.
The term "nuclear reaction" can be referred either to a change in a nuclide by collision with a subatomic particle or to a spontaneous change of a nuclide without any collision.
The given incomplete reaction can be represented as:
[tex]\ce {^{1}_{1}H}+ \ce {^{15}_{7}N}\longrightarrow \; ? + \ce {^{4}_{2}He}[/tex]
The sum of the mass number on both sides will be equal:
1 + 15 = A + 4
A = 16 - 4
A = 12
The sum of the atomic numbers on both sides of the arrow will be equal :
1 + 7 = Z + 2
Z = 8 - 2
Z = 6
Therefore, the missing nuclide is ¹²C₆. The complete nuclear equation will be written as:
[tex]\ce {^{1}_{1}H}+ \ce {^{15}_{7}N}\longrightarrow \; \ce {^{12}_{6}C} + \ce {^{4}_{2}He}[/tex]
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Which of the following colors is not a primary color of light
Answer:
Any other color, other than Red, Green, and Blue.
Explanation:
Those three are your only primary colors.
Which type of force(s) will cause a change in an object's motion?
Any force that's not cancelled by another force, with identical strength but pointed the opposite way, will cause a change in the object's speed or direction (or both).
When that happens, we say that the forces on the object are "unbalanced", and the object is experiencing "acceleration".
Forces cause changes in an object's motion, including starting movement, changing speed, or altering direction. Types of forces that can initiate these changes are spring forces and applied forces, following Newton's laws of motion.
Forces are essential concepts in physics responsible for causing changes in the motion of objects. They can produce different effects, such as causing an object to start moving, changing its speed or direction, or even deforming it. Types of forces include gravity, spring forces, and applied forces, derived from various actions like pushing, pulling, or thrust.
According to Newton's laws, a force is defined as any interaction that, when unopposed, will change the state of motion of an object. This means that if no other forces are at play, a single force can accelerate an object. Moreover, when a force is applied at an angle to the direction of motion, it can change both the speed (magnitude of velocity) and the direction of the object. The component of force in the direction of motion affects speed, while the perpendicular component affects direction.
An everyday example of force is the action of a garage door opener. When you press the button, your finger is not directly applying force to the door, but it triggers a mechanism that applies force to move the door. Similarly, pulling on a leash exerts force that changes the motion of a reluctant dog; the forces are between the leash and the dog, not directly from your hand.
Balance the single replacement chemical reaction
les
)))
A)
KI + CB ---> KCL + 1,
B)
KI + Cl2 --> 2KCL + 12
0
2KI + Cl2 ---> 2KCL + lz
D
2KI + 2Cl2 ---> 2KCL + 212
Answer:the answer is c
Explanation:
It balances correctly
The entropy of steam increases in actual steam turbines as a result of irreversibilities. In an effort to control entropy increase, it is proposed to cool the steam in the turbine by running cooling water around the turbine casing. It is argued that this will reduce the entropy and the enthalpy of the steam at the turbine exit and thus increase the work output.
How would you evaluate this proposal?
Answer:
The proposal is not accepted because of greater reduction in work output and efficiency
Explanation:
The following factors influence the turbine output with the suggestion below
1 - Enthalpy at the turbine exit
2 - Heat losses in the turbine
The work output of the steam turbine is
[tex]W=m(h_1-h_2)-Q_{loss}[/tex]
Where,
m is the mass of thee steam flowing through the turbine,
h₁ is the specific enthalpy of the steam leaving the turbine, and
[tex]Q_{loss}[/tex] is the heat loss from the turbinee due to the cooking water.
Enthalpy at the turbine exit; on cooling the turbine with the cooling water, the beck pressure of the turbine is decrease.
this further decrease the specific enthalpy at the turbine exit.
the result is greater reduction in the work output and efficiency,
Heat losses in water in the turbine;
On passing the cooking water around the turbine mst of the heat is carried away by this cooliing water. As the heat losses increases in the turbine, there is a greater reduction in the work output and efficiency.
Therefore, The proposal is not accepted because of greater reduction in work output and efficiency
Although the proposal to cool the steam in the turbine with water might reduce the local entropy, it would not increase the overall work output. Cooling the steam would also decrease its enthalpy and potentially reduce the turbine's output. Instead, optimizing processes to minimize entropy production would be a better way to improve turbine efficiency.
Explanation:The proposed solution to control the entropy of steam by cooling the steam turbine assumes that reducing both the entropy and enthalpy of the steam at the turbine exit will increase the work output. While it's true that irreversibilities — such as heat transfer and friction — increase the entropy and can reduce the turbine's efficiency, directly cooling the steam in the turbine would not necessarily lead to increased output. This is due to the second law of thermodynamics, which states that the entropy of a closed system will not decrease. Thus, while local entropy may be decreased, the overall entropy in the system (including the cooling water) will still increase.
Moreover, cooling the steam would actually decrease its enthalpy, which would reduce the amount of available energy to perform work, thus potentially decreasing the turbine's output. Therefore, this proposal may not be the best method of increasing the efficiency of a steam turbine. The improvement in turbine efficiency would be better done by optimizing the processes to minimize entropy production as a result of irreversibilities.
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Peter teacher tells him that he should not place his electric stereo near the edge of the pool because the water in the pool is a conductor what does she mean when she says that the water is an conductor
psdfAnswer:
Explanation:
Water in a pool can conduct electricity, especially if it has impurities like salt, allowing electric charges to flow through it. This makes it dangerous to place electrical devices near the pool, as they can become pathways for electricity if they get wet, posing a risk of electric shocks.
When Peter's teacher says that water is a conductor, she means that water, especially when it contains impurities like dissolved salts, allows electric charges to flow through it. Thinking of it with an analogy, consider a lake full of fish where the lake represents the conductor and the fish represent the charge carriers. These carriers can move freely within the conductor, just like fish can swim anywhere in the lake, but they typically cannot leave the conductor.
Compared to insulators such as glass, where electrons and ions are bound tightly and cannot move freely, water with impurities such as salt water becomes a conductor, allowing charges to move much more easily. This is why having an electric stereo near a pool is dangerous; if the stereo were to fall in, the electricity could travel through the water and potentially cause harm to anyone in or near the pool.
In electrical terms, a good conductor will have charges quickly spread out and reach equilibrium, meaning any potential difference within a conductor is swiftly eliminated, similarly to how a calm body of water would evenly distribute a drop of water across its surface, with no currents flowing. Therefore, it's important to keep electrical devices away from conductors like a pool of water to avoid the risk of electric shocks or damage.
Please solve this problem inelastic collision
It will crash at a speed of 5 m/s and that's basically it.
A force of 1200 N is applied to a drum of radius 80 cm which has a 12 kg mass, m1, attached by a cord
wound on the drum. A second drum of radius 41 cm is bolted on the first and has a 39 kg mass, m2, attached
by a cord wound on it. What is the resulting torque applied to the system?
Answer:
1.022 x 103 N.m
Explanation:
Solution
Given:
The weight of the block of mass m₂ is :
w₂ = m₂*g
Where
w₂ = 39 x 9.8 = 382.2 N
Then,
The weight of the block of mass m₁
w₁= m₁*g;
so,
w₁ = 12 x 9.8 = 117.5 N
Thus,
The tension wrapped in cord on drum (80 cm) T₁ = F - w₁
Now,
T₁ = 1200 - 117.5
T₁ = 1082.5 N
The tension wrapped in the cord on drum (41 cm) T₂ = w₂;
T₂ = 382.2 N
Hence,
We calculate net torque on the center of the drum:
The net torque = T₁ x 0.8 + T₂ x 0.41;
= 1082.5 x 0.8 + 382.2 x 0.41;
= 1.022 x 103 N.m
Therefore, the resulting torque applied to the system is 1.022 x 103 N.m
how do i play football in pe
Answer:
unsure
Explanation:
A 60-Watt bulb illuminates a surface a distance d away with
an illuminance of 3600 lux. What would be the illuminance
on a surface a distance 0.5•d away (i.e., one-half the
distance away) when illuminated by a 120-Watt bulb?
Answer:
Explanation:
Relation between power and illumination and distance is as follows
[tex]I = \frac{P}{R^2}[/tex]
For first case
[tex]3600 = \frac{60}{d^2}[/tex]
for second case
[tex]I = \frac{120}{(0.5d)^2}[/tex]
[tex]\frac{I}{3600} = \frac{d^2}{60} \times \frac{120}{.25d^2}[/tex]
I = 3600 x 8
= 28800 lux .
Final answer:
The illuminance on a surface from a 120-Watt bulb at half the distance of an initial setup with a 60-Watt bulb would be 28800 lux, due to the Inverse Square Law for Light and doubling of the bulb wattage.
Explanation:
The question is asking us to determine the illuminance on a surface from a 120-Watt bulb at half the distance of a previous setup with a 60-Watt bulb, which originally had an illuminance of 3600 lux. According to the Inverse Square Law for Light, illuminance changes with the inverse square of the distance. If the distance is halved (d/2), the illuminance increases by a factor of 4 (since (1/0.5)2 = 4). However, since we are also doubling the wattage of the bulb from 60-Watt to 120-Watt, and assuming that the bulb’s efficiency (lumens per Watt) stays the same, the illuminance would double again. Therefore, the new illuminance would be 3600 lux x 4 (due to distance) x 2 (due to wattage), equaling 28800 lux.
Calculate the period of oscillation of a pendulum with a small amplitude whose length is 2.5 meters.
Final answer:
The period of oscillation for a small amplitude pendulum with a length of 2.5 meters can be calculated using the equation T = 2π√(L/g). Using the accepted value of g, the period can be determined to be approximately 3.18 seconds.
Explanation:
The period of oscillation for a small amplitude pendulum can be calculated using the equation T = 2π√(L/g), where T is the period, L is the length of the pendulum, and g is the acceleration due to gravity. In this case, the length of the pendulum is given as 2.5 meters. Plugging in the values, we have T = 2π√(2.5/g).
To find the value of g, we can use the accepted value of 9.8 m/s². Calculating T using this value, we can find the period of the pendulum.
Example Calculation:
T = 2π√(2.5/9.8) = 2π√(0.255102) = 2π(0.5051) ≈ 3.18 seconds
A scientist completely dissolves gaseous oxygen into a container of liquid water. Which of the following best describes the contents of the container after the oxygen has been dissolved?
A.
an element
B.
a solution
C.
a compound
D.
a substance
STUDY ISLAND
Answer:
Forgive me if I'm wrong but I think the answer is C.
Explanation:
I say this because liquid water is H20 (a combination of two elements) and Oxygen is a singular element. Compound is defined as a thing that is composed of two or more separate elements and thus, I think it's C.
The container contains a compound but is is not formed by dissolving oxygen in water. Water itself is a compound. And dissolved oxygen does not make a solution. Thus, option c is correct.
What is oxygen?Oxygen is 8th element in periodic table. It is a non-metal and exists in gas form. Oxygen is soluble in water and the dissolved oxygen in water maintains the aquatic life.
A solution is formed by dissolving a solid solute in a solvent. Here, oxygen is in gas form and it does not form a solution with solvent water. Hence, the container does not containing a solution. After dissolving oxygen no longer exists as an element also.
A compound is formed by the combination of different atoms. Water is a compound formed from hydrogen and oxygens. Water does not form a new compound by dissolving a gas. Thus, the container contains not a new compound but the water itself.
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One gram of Uranium averages release 1.01 KJ (10^7) of energy. How much mass could be converted to energy to release this much energy?
Answer:
The amount of mass that needs to be converted to release that amount of energy is [tex]1.122 X 10^{-7} kg[/tex]
Explanation:
From Albert Einstein's Energy equation, we can understand that mass can get converted to energy, using the formula
[tex]E= \Delta mc^{2}[/tex]
where [tex]\Delta m[/tex] = change in mass
c = speed of light = [tex]3 \times 10 ^{8}m/s[/tex]
Making m the subject of the formula, we can find the change in mass to be
[tex]\Delta m = \frac{E}{c^{2}}= \frac{1.01 \times 10^{3} \times 10^{7}}{(3 \times 10^{8})^{2}}= 1.122 \times 10 ^{-7}kg[/tex]
There fore, the amount of mass that needs to be converted to release that amount of energy is 1.122 X 10 ^-7 kg
During spring tide, the sun, earth, and moon are in a straight line. This causes...............
a. small difference between high and low tides
b. a higher chance of lunar eclipses
c. a higher chance of solar eclipses
d. a large difference between high and low tides
The critical angle at the boundary between a ruby and the air is 34.6º. Use this to calculate the refractive index of this ruby. Give your answer to
two decimal places.
Answer:1.8
Explanation:
Critical angle=c=34.6
Refractive index =n
n=1/sinc
n=1/sin34.6
n=1/0.5678
n=1.8
Refractive index is 1.8
The refractive index of the ruby is 1.8
What is Refractive index?
The refractive index of an optical medium is defined as a dimensionless number indicating the light bending ability of that medium which determines how much the path of light is bent or refracted when entering the material.
Refractive index can be expressed as:
[tex]n=\frac{c}{v}[/tex]
n= Refractive index
[tex]{c}[/tex]= Speed of light
[tex]{v}[/tex]=Phase velocity of light
It can also expressed as:
n=1/sinc
For above given information, critical angle=c=34.6
Refractive index =n= 1/sin34.6
n=1/0.5678
n=1.8
Thus, the refractive index of the ruby is 1.8
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