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saveliy_v [14]
3 years ago
9

Part A:

Physics
2 answers:
svetlana [45]3 years ago
8 0
Part A:
( 5,000 : 100 ) * 6 = 300 lit.
300 lit.  * 1.066 Euros/ lit. = 318.9 Euros
1 Euro = 1.20 USD
318.9 * 1.20 = 382.68 USD

Part B :
6 lit./100 km = 0.06 lit/1 km
1 gal = 3.7853 lit.
1 mile = 1.609344 km
0.06 : 3.7853 = 0.01585
... = 0.01585 gal / 1 km  / * 1.609344
= 0.0255 gal/mile
 
marissa [1.9K]3 years ago
3 0

(a). The fuel expense of the car in the complete trip in US dollars is \boxed{\$\,354}.

(b). The fuel consumed in gallons per mile is \boxed{0.0254\text{ gallons/mile}}.

Explanation:

Given:

The price of the fuel in Europe is 1.063\text{ euros/ltr}.

The amount of fuel required for every 100\text{ km} is 6.00\text{ ltr}.

<u>Part (A):</u>

Concept:

The value of one euro equivalent to the US dollar is \$\,1.11.

The cost of the fuel in terms of the US dollar is:

\begin{aligned}c&=1.063\text{ euros/ltr}\left(\dfrac{\$\,1.11}{1\text{ euro}}\right)\\&=\$\,1.18\text{ USD/ltr}\end{aligned}

Since the car consumes 6\text{ ltr} of fuel during the journey of 100\text{ km}, the total fuel consumed by the car in the trip of 5000\text{ km} is:

\begin{aligned}n&=\dfrac{6\text{ ltr}}{100\text{ km}}\times(5000\text{ km})\\&=300\text{ ltr}\end{aligned}

The fuel consumed by the car in the whole trip of 5000\text{ km} is 300\text{ ltr}.

The fuel expense for the trip of 5000\text{ km} can be obtained as:

\begin{aligned}\text{ cost}&=1.18\text{ USD/ltr}\times(300\text{ ltr})\\&=\$\,354\text{ USD}\end{aligned}

Thus, the price of the fuel of the car in the complete trip in US dollars is \boxed{\$\,354}.

<u>Part (B):</u>

Concept:

The distance covered by the car in covering one mile is equivalent to 1.61\text{ km}.

The amount of fuel consumed by the car in covering one mile is:

\begin{aligned}v^{'}&=1.6\text{ km}\times\dfrac{6\text{ ltr}}{100\text{ km}}\\&=0.096\text{ ltr}\end{aligned}

The volume of oil consumed in terms of gallons per mile is:

\begin{aligned}v^{'}&=0.096\text{ ltr}\times\dfrac{1\text{ gallon}}{3.78\text{ ltr}}\\&=0.0254\text{ gallons}\end{aligned}

Thus, the fuel consumed in gallons per mile is \boxed{0.0254\text{ gallons/mile}}.

<u />

Learn More:

1. Forces of attraction limit the motion of particles most in brainly.com/question/947434

2. Acceleration of the red block after it is released brainly.com/question/6088121

3. The torque about the center of mass of the beam brainly.com/question/2506028

Answer Details:

Grade: High School

Subject: Physics

Chapter: Units and Measurement

Keywords:

Rental package, car, average consumption, euro, US dollar, USD, europe, fuel on your trip, fuel cost, 6 liter, 1.063 euros/liter.

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The design speed of a multilane highway is 60 mi/hr. What is the minimum stopping sight distance that should be provided on the
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Answer:

Part a: When the road is level, the minimum stopping sight distance is 563.36 ft.

Part b: When the road has a maximum grade of 4%, the minimum stopping sight distance is 528.19 ft.

Explanation:

Part a

When Road is Level

The stopping sight distance is given as

SSD=1.47 ut +\frac{u^2}{30 (\frac{a}{g} \pm G)}

Here

  • SSD is the stopping sight distance which is to be calculated.
  • u is the speed which is given as 60 mi/hr
  • t is the perception-reaction time given as 2.5 sec.
  • a/g is the ratio of deceleration of the body w.r.t gravitational acceleration, it is estimated as 0.35.
  • G is the grade of the road, which is this case is 0 as the road is level

Substituting values

                              SSD=1.47 ut +\frac{u^2}{30 (\frac{a}{g} \pm G)}\\SSD=1.47 \times 60 \times 2.5 +\frac{60^2}{30 \times (0.35-0)}\\SSD=220.5 +342.86 ft\\SSD=563.36 ft

So the minimum stopping sight distance is 563.36 ft.

Part b

When Road has a maximum grade of 4%

The stopping sight distance is given as

SSD=1.47 ut +\frac{u^2}{30 (\frac{a}{g} \pm G)}

Here

  • SSD is the stopping sight distance which is to be calculated.
  • u is the speed which is given as 60 mi/hr
  • t is the perception-reaction time given as 2.5 sec.
  • a/g is the ratio of deceleration of the body w.r.t gravitational acceleration, it is estimated as 0.35.
  • G is the grade of the road, which is given as 4% now this can be either downgrade or upgrade

For upgrade of 4%, Substituting values

                              SSD=1.47 ut +\frac{u^2}{30 (\frac{a}{g} \pm G)}\\SSD=1.47 \times 60 \times 2.5 +\frac{60^2}{30 \times (0.35+0.04)}\\SSD=220.5 +307.69 ft\\SSD=528.19 ft

<em>So the minimum stopping sight distance for a road with 4% upgrade is 528.19 ft.</em>

For downgrade of 4%, Substituting values

                              SSD=1.47 ut +\frac{u^2}{30 (\frac{a}{g} \pm G)}\\SSD=1.47 \times 60 \times 2.5 +\frac{60^2}{30 \times (0.35-0.04)}\\SSD=220.5 +387.09 ft\\SSD=607.59ft

<em>So the minimum stopping sight distance for a road with 4% downgrade is 607.59 ft.</em>

As the minimum distance is required for the 4% grade road, so the solution is 528.19 ft.

3 0
3 years ago
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