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2011CAP Prize Exam加拿大高中物理大獎賽真題答案下載

Category: 國際競賽, 福利干貨, 競賽資料 Date: 2018年8月27日下午2:52

歷年CAP High School Prize Exam加拿大高中物理大獎賽

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2011 CAP Prize Exam完整版真題免費下載

共計3小時考試時間

此套試卷由23道選擇題以及3道大題組成

每道大題含有不同數量的小題

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2011 CAP Prize Exam完整版真題

2011CAP Prize Exam加拿大物理奧林匹克完整版答案免費下載

部分真題答案預覽：

Part A選擇題部分：

Part B簡答題部分

Problem 1

(a) To compare the e?ciencies, we need to convert them to the same unit:

3.785 L/gal

USA car e?ciency = 30 mpg ? =7.84 L/100km

(30 mpg)×(1.609 km/mile)

European car e?ciency = 7.80 L/100km

The European car is the most e?cient.

(b)

0.2 × 7.8 L/100km =1.56 L/100km ? European car new e?ciency = 6.24 L/100km

0.2 × 30 mpg =6 mpg ? USA car new e?ciency = 36 mpg

3.785 L/gal

USA car new e?ciency = 36 mpg ? =6.53 L/100km

(36 mpg)×(1.609 km/mile)

Therefore the European car is still the most e?cient, by ⁶^.⁵³^?⁶^.²⁴×100% = 4.65%. Note that a 20% improvement

6.24

in e?ciency measured in L/100km is more important than a 20% improvement in e?ciency measured in mpg.

(c) The distance traveled in each part of the trip is given by the velocity during this part, multiplied by the travel time, so the total distance traveled is:

ΔX =0.5h × 60km/h +0.5h × 120km/h +0.5h × 80km/h +0.5h × 100km/h = 180km

(d) The work done by the the drag force is the sum of the work in each part of the motion:

W =_i₌₁FiΔXi = FiViΔti = 240N ×60km/h ×0.5h+540N ×120km/h ×0.5h+320N ×80km/h ×0.5h +420N ×100km/h ×0.5h = 73.4 MJ

(e) The total gasoline used is given by the sum of the amounts used in each part of the motion:

FiViΔti

l ==

i=1 35 MJ/L×E?ciencyi 240N×60km/h 540N×120km/h 320N×80km/h 420N×100km/h

0.5h × (+ ++)/(35 MJ/L) = 16.7 L

0.075 0.15 0.11 0.135

(f) The amount of gasoline used per kilometer travelled (denoted by lkm) for each part of the motion is then given by:

FV ΔtF 1 J/m F 1 L

== × = ×× 10^?³

^lkm 35MJ/L×E?ciency×V Δt E?ciency 35 MJ/L E?ciency 35 km

For the di?erent speeds of the car the lkm can be calculated:

V = 60km/h ? lkm =9.14 L/100km V = 120km/h ? lkm = 10.3 L/100km V = 80km/h ? lkm =8.31 L/100km V = 100km/h ? lkm =8.89 L/100km

Therefore gasoline is used most e?ciently when the car is traveling at 80km/h .

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