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balandron [24]
2 years ago
3

A robotic rover on Mars finds a spherical rock with a diameter of 10 centimeters​ [cm]. The rover picks up the rock and lifts it

20 centimeters​ [cm] straight up. The rock has a specific gravity of 4.75. The gravitational acceleration on Mars is 3.7 meters per second squared ​[m divided by s squared​]. If the​ robot's lifting arm has an efficiency of 40​% and required 10 seconds​ [s] to raise the rock 20 centimeters​ [cm], how much power in units of watts​ [W] did the arm​ use?
Engineering
1 answer:
Inessa05 [86]2 years ago
6 0

Answer:

Power = 0.46 W

Explanation:

Given data:

distance  by which rock lift up is 20 cm

specific gravity of rocks is 4.75

Gravitational acceleration on mars is 3.7 m/sec

Efficiency 40%

we know that specific gravity of rocks

S.G = \frac{\rho_{rock}}{\rho_{water}}

4.75\times 1000  =\rho_{rock}

we know density = \frac{ mass}{volume}

mass_{rock} = 4.75\times 1000  {\frac{4}{3} \pi (\frac{0.1}{2})^2} = 2.48 kg

work done is W = \frac{mgh}{efficiency}

w = \frac{2.48\times 3.7\times 0.2}{0.4}

w = 4.6 j

so, Power = \frac{w}{t} = \frac{4.6}{10\ sec} = 0.46 W

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Answer:

Answer for the question:

Let Deterministic Quicksort be the non-randomized Quicksort which takes the first element as a pivot, using the partition routine that we covered in class on the quicksort slides. Consider another almost-best case for quicksort, in which the pivot always splits the arrays 1/3: 2/3, i.e., one third is on the left, and two thirds are on the right, for all recursive calls of Deterministic Quicksort. (a) Give the runtime recurrence for this almost-best case. (b) Use the recursion tree to argue why the runtime recurrence solves to Theta (n log n). You do not need to do big-Oh induction. (c) Give a sequence of 4 distinct numbers and a sequence of 13 distinct numbers that cause this almost-best case behavior. (Assume that for 4 numbers the array is split into 1 element on the left side, the pivot, and two elements on the right side. Similarly, for 13 numbers it is split with 4 elements on the left, the pivot, and 8 elements on the right side.)

is given in the attachment.

Explanation:

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3 0
2 years ago
Six years ago, an 80-kW diesel electric set cost $160,000. The cost index for this class of equipment six years ago was 187 and
exis [7]

Answer:

new boiler total cost = $229706.825

new boiler total cost = $127512

Explanation:

given data

power p1 = 80 kW

cost C = $160000

cost index CI 1 = 187

cost index CI 2= 194

cost capacity factor f = 0.6

power p2 = 120 kW

current cost = $18000

to find out

total cost and cost of 40 kW

solution

we consider here CN cost for new boiler and CO cost for old boiler

and x is capacity of new boiler

first we find old boiler current cost that is

current cost CO = C × \frac{CI 1 }{CI 2 }   .............1

put here value

current cost = 160000 × \frac{194 }{187 }

new current cost = $165989.304

and

use here power sizing technique for 124 kW

CN/CO = (\frac{p2}{p1} )^{f}    ...............2

put here value and find CN

CN/CO = (\frac{p2}{p1} )^{f}  

CN / 165989.304 = (\frac{120}{80} )^{0.6}  

CN = 211706.825

so new cost = $211706.825

so

total cost for new boiler is

total cost = new cost + current cost

total cost = 211706.825 + 18000

new boiler total cost = $229706.825

and

for 40 kW new cost will be

use equation 2

CN/CO = (\frac{p2}{p1} )^{f}

CN / 165989.304 = (\frac{40}{80} )^{0.6}  

CN = 109512

so new cost is $109512

so

total cost for new boiler is

total cost = new cost + current cost

total cost = 109512 + 18000

new boiler total cost = $127512

7 0
2 years ago
An automobile having a mass of 900 kg initially moves along a level highway at 100 km/h relative to the highway. It then climbs
creativ13 [48]

Answer:

ΔKE=-347.278 kJ

ΔPE= 441.45 kJ

Explanation:

given:

mass m=900 kg

the gravitational acceleration g=9.81 m/s^2

the initial velocity V_{1}=100 km/h-->100*10^3/3600=27.78 m/s

height above the highway h=50 m

h1=0m

the final velocity V_{F}=0 m/s

<u>To find:</u>

the change in kinetic energy ΔKE

the change in potential energy ΔPE

<u>assumption:</u>

We take the highway as a datum

<u>solution:</u>

ΔKE=5*m*(V_{F}^2-V_{1}^2)

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ΔPE=m*g*(h-h1)

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2 years ago
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Answer:

a.) -147V

b.) -120V

c.) 51V

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b.) The problem becomes easier to solve if you draw out the circuit. Since potential at Q is 0, then Q is at ground. So voltage across V_MQ is the same as potential at V_M.

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3 0
2 years ago
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Answer:

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Explanation:

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System.out.print("Especially ');

This statement is missing the closing quotation mark. A single quotation mark is placed instead of double quotation mark in the statement.

The following error message will be displayed when this program statement will be compiled:

Main.java:15: error: unclosed string literal

String literals use double quotes. So to correct this syntax error, the statement should be changed as follows:

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The output of this corrected line is as following:

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The error message displayed when this line is compiled is as following:

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The output of this corrected line is as following:

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There is a syntax error in this statement because of - symbol used instead of +

+ symbol is used to join together a variable and a value a variable and another variable in a single print statement.

The error message displayed when this line is compiled is as following:

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So let userName= 5 then the output of this corrected line is as following:

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8 0
2 years ago
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