The recursion tree for merge-sort on an array of 16 elements cannot be drawn due to the text-based nature of this conversation. Memorization fails to speed up merge-sort because it does not exhibit overlapping subproblems.
How does the lack of overlapping subproblems in merge-sort impact the effectiveness of memorization in speeding up the algorithm?To draw the recursion tree for the merge-sort procedure on an array of 16 elements, I would need to recursively divide the array into smaller subarrays until reaching the base case.
However, since I am unable to draw a diagram directly, I will provide a verbal explanation of the recursion tree:
Starting with an array of 16 elements, the merge-sort algorithm will divide it into two equal halves, resulting in two subarrays of size 8.
Each of these subarrays will further divide into two subarrays of size 4, which will then divide into subarrays of size 2, and finally, the subarrays of size 2 will divide into subarrays of size 1.
This process creates a binary tree structure, with the original array of 16 elements at the top as the root, and the subarrays of size 1 as the leaves.
Regarding the second part of your question, memorization fails to speed up a good divide and conquer algorithm like merge-sort because merge-sort does not exhibit overlapping subproblems.
Memorization, also known as memoization, is a technique used to store and reuse the results of expensive function calls or computations to improve performance.
It is commonly used in dynamic programming when there are overlapping subproblems.
However, in merge-sort, each subarray is processed separately, and there is no repeated computation of the same subarray.
Therefore, memorization does not provide any advantage in terms of speeding up the merge-sort algorithm.
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1. In a mechanical design, it is recommended to use standard size/dimension to overcome uncertainties in stress or material strength.
A. True
B. False
2. Steels' surface fatigue strength can be correlated to their Brinell hardnesses.
A. True
B. False
3. If a material point has three principal stresses 01 = 02 = 03 = 300kpsi, then the maximum shear stress is Tmax = 150kpsi.
A. True
B. False
4. The endurance limit of a material is independent on the size of a part.
A. True
B. False
5. The tensile stress in a bolt is usually calculated through tensile force divided by area of unthreaded rod's cross-section area.
A. True
B. False
6. Edge shear-out or tear-out is one failure mode in bolted or riveted joints.
A. True
B. False
7. Pretension of bolts can be controlled by a torque wrench.
A. True
B. False
8. The material ultimate tensile strength of a spring coil is dependent on its coil diameter.
A. True
B. False
9. Adhesive joints are much stronger in tensile loading than shear loading.
A. True
B. False
10. The dominated loading condition in a helical spring is torsion along coils.
A. True
B. False
11. The principal advantage of conical springs is that the its spring rate is non-linear.
A. True
B. False
12. The dimensions of a bearing is coded by two-digit series numbers according to ABMA, one digit for width and the other one for diameter.
A. True
B. False
13. Three key things to determine selection of bearing are load, life and reliability.
A. True
B. False
14. Straight roller bearings can carry large radial loads and small amount of axial load.
A. True
B. False
15. In the AGMA method of gear analysis, gear strength values are the true material strengths.
A. True
B. False
16. A planetary gear train allows for two degrees of freedom.
A. True
B. False
Answer:
1. A.True
2. B.False
3. B.False
4. A.True
5. A.True
6. A.True
7. A.True
8. B.False
9. B.False
10. A.True
11. B.False
12. A.True
13. A.True
14. B.False
15. B.False
16. A.True
Explanation:
Most steels have endurance and fatigue limit about half the Tensile strength. Tensile strength of material is the limit of stress at which material then breaks. The tensile stress in a bolt is calculated through tensile force.
Explain how the following program can be used to determine whether a computer is big-endian or little-endian:
MOVZ X0, 0xABCD, LSL 16:
ADD X0 , X0 , 0x23
STUR X0, [SP, 0x10]
LDURB W5, [SP, 0x10]
The final byte of a multibyte data type's binary representation is saved first in little endian processors. However, with big endian processors, the first byte of the multibyte data type's binary representation is saved first.
The two bytes needed to represent the hexadecimal value 4F52 in a big-endian computer would be saved in storage as 4F52. 52, for instance, will be located at address 1001 if 4F is saved at storage address 1000. It would be stored as 524F on a little-endian system, with 52 at address 1000 and 4F at address 1001. Little Endian In this scheme, the initial address (A) is used to store the low-order byte and the next address (A + 1) is used to store the high-order byte. Big Endian In this scheme, the first address (A) contains the high-order byte and the second address (A + 1) contains the low-order byte.
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when diving with a computer
When scuba diving, the computer acts as a real-time monitor of the diver's depth, time spent at the bottom, and decompression needs.
The computer is an electrical gadget that has integrated seamlessly into contemporary life. It is a machine that uses specialised software to analyse data, carry out calculations, store and retrieve information, and carry out a variety of functions. The computer has completely changed the way we work and live by allowing us to easily accomplish complicated tasks and communicate across great distances. Almost every sector of the economy uses computers, from business and banking to healthcare and education. These include desktops, laptops, tablets, and smartphones, and they are available in a range of sizes and configurations. In general, the computer has had a significant influence on society, changing how we work, live, and communicate with one another.
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Building science is the study of engineering, design, and physics involved in making structures efficient, safe, practical, and comfortable. Which of the following represents a problem that a building scientist would address?
creating a foundation that resists the effects of acidic soil
creating a foundation that resists the effects of acidic soil
revoking improperly administered certificates of occupancy
revoking improperly administered certificates of occupancy
revising outdated land-use planning practices
revising outdated land-use planning practices
combating the effects of suburban sprawl
A building scientist would handle the issue of creating a foundation that is resistant to the impacts of acidic soil. Architecture experts are focused on the security and sustainability of structure, and the base is an important component of the structural stability of a building.
The presence of acidic soil can induce foundation corrosion, resulting in structural deterioration over time. Building scientists would apply their expertise of materials science, engineering, and design to create solutions that can survive the impacts of acidic soil and assure the foundation's lifetime.
Soil is the weaker material layer that covers the majority of the ground. It is made up of inorganic and organic particles. Soil gives structural support to agricultural plants while also serving as a source of water and nutrients.
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After a strong storm, a worker does not realize that a power transmission line has fallen on his car and is electrocuted while opening the car door. What is this an example of?.
Answer:
This is an example of the conduction of electricity through metal. Free moving electrons on the car will conduct a electric field when a voltage is applied to the car; in this case the transmission line, and would flow through the metal to the door handle causing electrocution.
The top down design process is sometimes called stepwise refinement
-overall task is broken down into a series of sub tasks
-each sub task is examined to see if it can be further broken down into more sub tasks
-the sub tasks are written in code
True. The top-down design process is indeed sometimes called stepwise refinement.
In this approach, the overall task or problem is broken down into a series of subtasks or smaller components. Each subtask is examined to determine if it can be further broken down into more detailed subtasks. This process continues until the subtasks are small enough to be written in code or implemented in a specific programming language. The stepwise refinement approach allows for a systematic and structured way of designing and implementing complex systems or programs.
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Which component of the enterprise platform will help the company capture, curate, and consume customer information to improve their services?
Data and insight is the component of the enterprise platform will help the company capture customer information.
What is Data and insight?
These are the data and knowledge gotten from analysis of customer's information in a business.
This enterprise platform is very important as it helps the organization to improve their services
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which of the following is a function of a safety device
Answer:
what are the options available?
Truss ABC is changed by decreasing its height from H to 0.9 H. Width W and load P are kept the same. Which one of the following statements is true for the revised truss as compared to the original truss?
A. Force in all its members have decreased.
B. Force in all its members have increased.
C. Force in all its members have remained the same.
D. None of the above.
Force in all its members have increased
Force EquationThe vector product of mass (m) and acceleration (a) expresses the quantity of force (a). The force equation or formula can be expressed mathematically as follows:
F = ma In which case,
m = mass a = velocity
It is expressed in Newtons (N) or kilogrammes per second.
The acceleration an is provided by
a = v/t
Where
v = acceleration
t = time spent
As a result, Force can be expressed as follows:
F = mv/t
The formula for inertia is p = mv, which can also be expressed as Momentum.
As a result, force can be defined as the rate of change of momentum.
dp/dt = F = p/t
Force formulas are useful for determining the force, mass, acceleration, momentum, and velocity in any given problem.
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characteristics of 3 types of soil
fertile, infertile and corroded soil
Find the power and the rms value of the following signal square: x(t) = 10 sin(10t) sin(15t)
1. Px =
2. xrmx =
Answer:
\(\mathbf{P_x =25 \ watts}\)
\(\mathbf{x_{rmx} = 5 \ unit}\)
Explanation:
Given that:
x(t) = 10 sin(10t) . sin (15t)
the objective is to find the power and the rms value of the following signal square.
Recall that:
sin (A + B) + sin(A - B) = 2 sin A.cos B
x(t) = 10 sin(15t) . cos (10t)
x(t) = 5(2 sin (15t). cos (10t))
x(t) = 5 × ( sin (15t + 10t) + sin (15t-10t)
x(t) = 5sin(25 t) + 5 sin (5t)
From the knowledge of sinusoidial signal Asin (ωt), Power can be expressed as:
\(P= \dfrac{A^2}{2}\)
For the number of sinosoidial signals;
Power can be expressed as:
\(P = \dfrac{A_1^2}{2}+ \dfrac{A_2^2}{2}+ \dfrac{A_3^2}{2}+ ...\)
As such,
For x(t), Power \(P_x = \dfrac{5^2}{2}+ \dfrac{5^2}{2}\)
\(P_x = \dfrac{25}{2}+ \dfrac{25}{2}\)
\(P_x = \dfrac{50}{2}\)
\(\mathbf{P_x =25 \ watts}\)
For the number of sinosoidial signals;
\(RMS = \sqrt{(\dfrac{A_1}{\sqrt{2}})^2+(\dfrac{A_2}{\sqrt{2}})^2+(\dfrac{A_3}{\sqrt{2}})^2+...\)
For x(t), the RMS value is as follows:
\(x_{rmx} =\sqrt{(\dfrac{5}{\sqrt{2}} )^2 +(\dfrac{5}{\sqrt{2}} )^2 }\)
\(x_{rmx }=\sqrt{(\dfrac{25}{2} ) +(\dfrac{25}{2} ) }\)
\(x_{rmx }=\sqrt{(\dfrac{50}{2} )}\)
\(x_{rmx} =\sqrt{25}\)
\(\mathbf{x_{rmx} = 5 \ unit}\)
A new approval process is being adapted by Ursa Major Solar. After an opportunity has been approved, the contract is sent to the customer for signature as the final step in that process.Hon can the administrator implement this functionality?
For a given soil the following are known: Specific Gravity = 2.75 Moist Unit Weight = 19.6 kN/m3 Moisture Content = 14.3% Determine: a. Dry Unit Weight b. Void Ratio c. Porosity d. Degree of Saturation
The Dry Unit Weight of the soil is 17.5 kN/m3, the Void Ratio is 0.347, the Porosity is 0.384, and the Degree of Saturation is 86.7%.
B. The Dry Unit Weight of the soil can be calculated using the formula γd = γw(1-w), where γd is the dry unit weight, γw is the moist unit weight, and w is the moisture content.
In this case, γd = γw(1-w)
γd = 19.6(1-0.143) = 17.5 kN/m3.
The Void Ratio is then calculated using the formula e = (w / (1-w)), where e is the void ratio and w is the moisture content. Plugging in the values from above,
e = (w / (1-w))
e = 0.143/(1-0.143) = 0.347.
The Porosity is then calculated using the formula n = e/[1 + (G•e)], where n is the porosity, e is the void ratio, and G is the specific gravity. In this case,
n = e/[1 + (G•e)]
n = 0.347/[1 + (2.75•0.347)] = 0.384.
Finally, the Degree of Saturation can be calculated using the formula S = w/(1 + (G•e)), where S is the degree of saturation and the other variables are the same as above. Thus,
S = w/(1 + (G•e))
S = 0.143/(1 + (2.75•0.347)) = 0.867 or 86.7%.
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In a television set an electron beam with a current of 5x10^-6 ampere is directed at the screen. Approximately how many electrons are transferred to the screen in 60 seconds?
To find the number of electrons transferred to the screen in 60 seconds, we need to use the formula: Charge (Q) = Current (I) x Time (t).
We know the current (I) is 5x10^-6 ampere and the time (t) is 60 seconds. So, Q = 5x10^-6 x 60 = 3x10^-4 coulombs Now, we need to convert coulombs to electrons. We know that one coulomb is equal to 6.24x10^18 electrons. Therefore, the number of electrons transferred to the screen in 60 seconds is: 3x10^-4 coulombs x 6.24x10^18 electrons/coulomb = 1.872x10^15 electrons So approximately 1.872x10^15 electrons are transferred to the screen in 60 seconds.
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To answer this question, we need to use the formula:
Charge (Q) = Current (I) x Time (t)
We know the current (I) is 5x10^-6 ampere and the time (t) is 60 seconds. We can plug these values into the formula to find the charge (Q):
Q = 5x10^-6 A x 60 s = 3x10^-4 coulombs
Now we need to use the fact that one electron has a charge of 1.602x10^-19 coulombs to find the number of electrons transferred:
Number of electrons = Charge / Charge of one electron
Number of electrons = (3x10^-4 C) / (1.602x10^-19 C/electron)
Number of electrons = 1.87x10^15 electrons
Therefore, approximately 1.87x10^15 electrons are transferred to the screen in 60 seconds.
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If your job required you to carry or work with heavy parts and tools, what type of safety shoes or boots would you select?
A. Footwear with puncture protection.
B. Footwear with impact protection.
C. Footwear with compression protection.
D. None of the above.
Answer:a
Explanation: because better
Air expands through a turbine from 10 bar, 900 K to 1 bar, 500 K. The inlet velocity is small compared to the exit velocity of 100 m/s. The turbine operates at steady state and develops a power output of 3200 kW. Heat transfer between the turbine and its surroundings and potential energy effects are negligible. Calculate the mass flow rate of air, in kg/s, and the exit area, in m2 .
Answer:
- the mass flow rate of air is 7.53 kg/s
- the exit area is 0.108 m²
Explanation:
Given the data in the question;
lets take a look at the steady state energy equation;
m" = W"\(_{cv\) / [ (h₁ - h₂ ) -\(\frac{V_2^2}{2}\) ]
Now at;
T₁ = 900K, h₁ = 932.93 k³/kg
T₂ = 500 K, h₂ = 503.02 k³/kg
so we substitute, in our given values
m" = [ 3200 kW × \(\frac{1\frac{k^3}{s} }{1kW}\) ] / [ (932.93 - 503.02 )k³/kg -\(\frac{100^2\frac{m^2}{s^2} }{2}\)|\(\frac{ln}{kg\frac{m}{s^2} }\)||\(\frac{1kJ}{10^3N-m}\)| ]
m" = 7.53 kg/s
Therefore, the mass flow rate of air is 7.53 kg/s
now, Exit area A₂ = v₂m" / V₂
we know that; pv = RT
so
A₂ = RT₂m" / P₂V₂
so we substitute
A₂ = {[ \((\frac{8.314}{28.97}\frac{k^3}{kg.K})\)×\(500 K\)×\((7.54 kg/s)\) ] / [(1 bar)(100 m/s )]} |\(\frac{1 bar}{10N/m^2}\)||\(10^3N.m/1k^3\)
A₂ = 0.108 m²
Therefore, the exit area is 0.108 m²
Which of these factors would help the environment?
a. Betty drinks only bottled water instead of soda.
b. Greg changes all of the light bulbs in the office to energy efficient bulbs.
c. John keeps his off topic conversations down to 10 minutes a day.
d. Doug turns the air conditioning down to cool the office during the hot summer months.
Please select the best alswer from the choices provided
A
B
D
Answer:
B. Greg changes all of the light bulbs in the office to energy efficient bulbs.
Explanation:
Energy efficient bulbs help you to reduce the carbon footprint of your office / house and last up to 12 times as long as traditional bulbs, using less electricity to emit the same amount of light as a traditional bulb.
Answer:
b
Explanation:
How much horse power does a Lamborghini have
Answer:
Countach - 375 Huracan - 610 to 630Aventador - 729 to 759Urus - 641Gallardo - 543 to 562Centenario - 770 SCV12 - 830Explanation:
It really all depends, it varies from 375 to 830, you can't mark one as " Lamborghinis have this much hp always " seeing it fluctuates so much car to car
The operating sequence to light the main burners on an intermittent pilot system is:______.
The effective resistance of parallel resistors is always _____ than the lowest individual value.
a) more
b) less
c) no different than
Answer:
A
Explanation:
Answer:
the answer is a
Explanation:
it is a because thats what the answer is
if all other factors were equal, which of the following locations would you expect to have the highest air pressure?
If all other factors were equal, we would expect Location A, which is at sea level (0 meters), to have the highest air pressure.
Air pressure falls as altitude increases, which means that as we climb in the sky, the weight of the air above us reduces, resulting in decreased pressure.
The air pressure is highest at sea level because the weight of the air column above is greater owing to the entire atmosphere pressing down on the Earth's surface. The air column above lowers as we travel higher in height, such as at Location B (Mountain Peak at 3,000 meters), Location C (Plateau at 1,500 meters), or Location D (Valley at 500 meters).
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The complete question:
If all other factors were equal, which of the following locations would you expect to have the highest air pressure?
Location A: Sea Level (0 meters)
Location B: Mountain Peak (3,000 meters)
Location C: Plateau (1,500 meters)
Location D: Valley (500 meters)
What is the output of the following code fragment that invokes calc?(All variables are of type int)x = 1;y = 2;z = 3;calc(x, y);cout << x << " " << y << " " << z << endl;
The output of the code fragment is: 1 10 3
The output of the code fragment invoking the calc function can be determined as follows:
Given the function definition:
void calc (int a, int &b) {
int c;
c = a + 5;
a = a * 2;
b = c + a + 2;
}
And the code fragment:
x = 1;
y = 2;
z = 3;
calc(x, y);
cout << x << " " << y << " " << z << endl;
First, the calc function is called with x and y as arguments. Since x is passed by value and y is passed by reference, any changes made to a and b inside the function will not affect x but will affect y.
1. Inside the function, a is assigned the value of x (1) and b is assigned the reference of y.
2. c is calculated as a + 5, which is 1 + 5, so c becomes 6.
3. a is updated by multiplying it by 2, so a becomes 2.
4. b (which is a reference to y) is updated to be c + a + 2, which is 6 + 2 + 2, so b (and therefore y) becomes 10.
Now, the function has finished executing and we return to the main code fragment. x remains unchanged at 1, y has been updated to 10, and z remains unchanged at 3.
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Evan is building a toy rocket. He wants to fill the rocket with high-pressure water in order to launch it into the air. Which of the following materials would be the best choice for constructing the outside of the rocket?
A.
a cardboard box
B.
a small paper garbage bag
C.
a two-liter plastic bottle
D.
a small plastic garbage bag
Blood pressure is conventionally measured in the dimensions of millimeters in a column of mercury, and the readings are expressed as two numbers, for example, 120 and 80. The first number is called the systolic value, and it is the maximum pressure developed as the heart contracts. The second number (called the diastolic reading) is the pressure when the heart is at rest. In the units of kPa and psi, what is the difference in pressure between the given systolic and diastolic readings? The density of mercury is 13.54 Mg/m3.
Answer:
- the difference in pressure between the given systolic and diastolic readings in KPa is 5.313 KPa
- the difference in pressure between the given systolic and diastolic readings in psi is 0.77 psi
Explanation:
Given the data in the question;
blood pressure reading = 120 and 80 { systolic and diastolic }
To determine the difference in pressure between the two readings, we use the equation as follows;
change in pressure ΔP = p × g × h
where p is mercury density, g is acceleration due to gravity and h is difference of height in mercury column.
Frist,
difference of height in mercury column h = 120 - 80 = 40 mm = 0.04 m
given that; The density of mercury is 13.54 Mg/m³ = 13.54 × 10³ kg/m³
Not that Mg is Megagrams not Milligrams }
we know that g = 9.81 m/s²
so we substitute into our equation;
change in pressure ΔP = (13.54 × 10³) × 9.81 × 0.04
ΔP = 5313.096 kg/m-s² ≈ 5313.096 N/m²
ΔP = 5.313 KPa
Therefore, the difference in pressure between the given systolic and diastolic readings in KPa is 5.313 KPa.
In psi,
ΔP = 5.313 KPa
ΔP = 5313 Pa
ΔP = 5313 pa × ( 1.45 × 10⁻⁴ psi / 1 Pa )
ΔP = 0.770385 psi ≈ 0.77 psi
Therefore, the difference in pressure between the given systolic and diastolic readings in psi is 0.77 psi
Determine the bare module cost of a 1-shell-pass, 2-tube-pass(1 - 2) heat exchanger designed for the following operating conditions: Maximum operating pressure (tube side) = 30 barg Maximum operating pressure (shell side) = 5 barg Process fluid in tubes requires stainless steel MOC Shell-side utility (cooling water) requires carbon steel MOC Heat exchange area = 160 m^2
The heat exchanger's estimated bare module price is $199,101.
How much does a bare module cost, exactly?The pricing of a bare module includes all necessary hardware and installation labour within a 3-meter radius. Investment = above plus royalties plus real estate plus supplies + legal + working capital plus construction-related interest Working capital is equal to 10%+ of invested fixed capital. This could differ greatly.
Bare module cost = (Cost of tubes + Cost of shell + Cost of bundle) x (Cost factor)
Tube length = \(160 / (2 x 1.3) = 61.54 m\)
Cost of tubes = \(61.54 x $50 = $3,077\)
Shell length = \(1.25 x 61.54 = 76.92 m\)
Cost of shell = \(1.5 x 76.92 x $500 = $57,690\)
Number of tubes = \(61.54 x 10 = 615\)
Assuming a cost per tube of $10, we get:
Cost of bundle =\(615 x $10 = $6,150\)
Bare module cost = \(($3,077 + $57,690 + $6,150) x 3 = $199,101\)
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Mechanic... Mechanical Engineer... What's the difference?
Instructions: Answer the question below with at least TWO complete sentences.
Answer:
Mechanic: a person who repairs and maintains machinery
Mechanical engineers: design power-producing machines
Explanation:
what should i be for halloween?
Answer:
A Devil
Explanation:
Your freind could be an angel
Determine the power output of the draw-works motor M necessary to lift the 600-lb drill pipe upward with a constant speed of 4 ft/s. The cable is tied to the top of the oil rig, wraps around the lower pulley, then around the top pulley, and then to the motor.
Answer:
\( \therefore \) The power output of the draw-works motor is 4.36 hp
Explanation:
Given that,
600 lb of weight of the drill pipe 4 ft/s constant velocity of the motorM power output of the motorAs the problem given, the cable is tied of the top on the oil rig and it wraps around the lower pulley and the top pulley. So, we will be using the formula below:
\( \boxed{\rm{2s_p + s_M = l}} \)Differentiate it but with respect to the time. Therefore,
\( 2v_p +v_M = 0 \)Thus,
\( V_M = -2v_p = -2(-4) = 8 \ ft/s \)Thus, the power output should be
\( P = Fv = \bigg(\frac{600}{2}\bigg) \cdot 8 = 2400 \ lb \cdot ft/s = \frac{2400}{550} = 4.36 \ hp \)
\( \therefore \) The power output of the draw-works motor is 4.36 hp
a vacuum cleaner creates conduction when it is turned on. true or false?
False. A vacuum cleaner does not create conduction when turned on. Instead, it uses suction to remove dirt and debris from surfaces.
Conduction refers to the transfer of heat or electricity through a material, which is not the primary function of a vacuum cleaner. Because dust is a poor conductor of heat, it stops heat from being lost by conduction. The stopper's tight seal reduces heat loss through convection. Additionally, the inner reflecting layer stops heat loss through radiation. A super-protected jug or container is similar to a vacuum flask or thermos flask. Conduction and convection are processes that rely on molecules to function; they are not conceivable in a vacuum since there are no molecules to conduct heat. Since radiation takes the form of electromagnetic waves, it doesn't need a medium to transmit its energy, hence the waves are able to traverse a vacuum.
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The answer is False, a vacuum cleaner does not create conduction when it is turned on.
Conduction refers to the transfer of heat through direct contact between particles of a solid material.
A vacuum cleaner, on the other hand, works by creating suction to remove dirt and debris from surfaces. The two terms are not directly related in the context of a vacuum cleaner's operation.
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8. If you push a 2000 N weight up a ramp with 400 N of force and you raise the weight 1 meter,
how long is the ramp?
A) 3 m
B) 5 m
C) 10 m
D) 20 m