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cestrela7 [59]
2 years ago
15

The radius of the earth is about 4,000 miles. If there were a global superhighway that circles around the entire equator of the

earth, approximately how much would it cost for you to buy enough gas to drive around the earth once? Assume that the gas costs $3.20 a gallon and that your car can get 25 miles per gallon.
Physics
2 answers:
lys-0071 [83]2 years ago
8 0

Answer: Cost ≈ $3,217


Explanation:



1) Calculate the perimeter (circumference) of the superhighway:


Formula: C = 2πr


r = 4 miles ⇒ C = 2π(4,00miles) ≈ 25132.7 miles


2) Calculate the cost


Formulas:


Cost = number of gallons consumed × cost of a gallon


Number of gallon consumed = galllons per mile × number of miles


Number of gallon = (1 gallon / 25 miles) × 25,132.7 miles = 1,005.3 gallons


Cost = 1,005.3 gallons × $3.20 / gallon ≈ $3,217



den301095 [7]2 years ago
7 0

Answer:

Cost of gas is around $3217

Explanation:

<u>Given:</u>

Radius of earth = 4000 miles

Gas cost = $3.20/gallon

Mileage = 25 miles/gallon

<u>To determine:</u>

Cost of gas to drive around the earth once

<u>Explanation:</u>

Distance around the earth = circumference of earth = 2πR

Distance\  covered = 2*3.142*4000 = 25316\ miles\\\\Gallons\ of\ gas\ required = \frac{25316\ miles*1\ gallon}{25\ miles} =1005.4\ gallons\\\\Cost = \frac{1005.4\ gallon *3.20\ dollar}{1\ gallon} = 3217.28\ dollars

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La altura de un tornillo de banco respecto a la superficie es de 80 cm expresar dicha medida en pies..
Andrej [43]

Answer:

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Explanation:

Notice that 80 cm can be expressed as 0.8 meters, and In order to convert from meters to feet, one needs to multiply the meter measurement times 3.28084. Therefore:

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3 0
2 years ago
Serena is a research student who has conducted an experiment on the discoloration of marble. Read about Serena’s experiment. The
sergij07 [2.7K]

The two flaws in her experiment’s design are

<span>- She introduced at least one confounding variable.</span> <span>- She tried to test multiple hypotheses at a time</span>

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2 years ago
You need to design a clock that will oscillate at 10 MHz and will spend 75% of each cycle in the high state. You will be using a
Svetllana [295]

Answer:

Hello your question has some missing parts and the required diagram attached below is the missing part and the diagram

Digital circuits require actions to take place at precise times, so they are controlled by a clock that generates a steady sequence of rectangular voltage pulses. One of the most widely

used integrated circuits for creating clock pulses is called a 555 timer.  shows how the timer’s output pulses, oscillating between 0 V and 5 V, are controlled with two resistors and a capacitor. The circuit manufacturer tells users that TH, the time the clock output spends in the high (5V) state, is TH =(R1 + R2)*C*ln(2). Similarly, the time spent in the low (0 V) state is TL = R2*C*ln(2). Design a clock that will oscillate at 10 MHz and will spend 75% of each cycle in the high state. You will be using a 500 pF capacitor. What values do you need to specify for R1 and R2?

ANSWER : R1 = 144.3Ω,   R2 =  72.2 Ω

Explanation:

Frequency = 10 MHz

Time period = 1 / F =  0.1 <em>u </em>s

Duty cycle = 75% = 0.75

Duty cycle can be represented as :   Ton / T

Also: Ton = Th = 0.75 * 0.1 <em>u </em>s  = 75 <em>n</em> s

TL = T - Th = 100 <em>n</em>s - 75 <em>n</em> s = 25 <em>n</em> s

To find the value of R2 we use the equation for  time spent in the low (0 V) state

TL = R2*C*ln(2)

hence R2 = TL / ( C * In 2 )

c = 500 pF

Hence R2 = 25 / ( 500 pF * 0.693 )  = 72.2 Ω

To find the value of R1 we use the equation for the time the clock output spends in the high (5V) state,

Th = (R1 + R2)*C*ln(2)

  from the equation make R1 the subject of the formula

R1 =  (Th - ( R2 * C * In2 )) / (C * In 2)

R1 = ( 75 ns - ( 72.2 * 500 pF * 0.693)) / ( 500 pF * 0.693 )

R1 = ( 75 ns  - ( 25 ns ) / 500 pf * 0.693

     = 144.3Ω

8 0
2 years ago
A photon ionizes a hydrogen atom from the ground state. The liberated electron 11. recombines with a proton into the first excit
anygoal [31]

Answer:

a) 23.2 e V

b) energy of the original photon is 36.8 eV

Explanation:

given,

energy at ground level = -13.6 e V

energy at first exited state = - 3.4 e V

A photon of energy ionized from ground state and electron of energy K is released.

h ν₁ - 13.6 = K

K combine with photon in first exited state giving out photon of energy

h\nu_2 =\dfrac{hc}{\lambda}=\dfrac{12400}{466}

            = 26.6 e V

h c = 6.626 ×  10⁻³⁴ ×  3  × 10⁸  = 12400 e V A°

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K = 26.6 - 3.4 = 23.2 e V

b) energy of the original photon

h ν₁ - 13.6 = K

h ν₁  = 23.2 + 13.6

       = 36.8 e V

energy of the original photon is 36.8 eV

3 0
2 years ago
You swing a bat and hit a heavy box with a force of 1500 N. The force the box exerts on the bat is
vlabodo [156]

Answer:

E)

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2 years ago
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