Lesson Two: Mathematics and Physics | Comprehensive Answer Key Physics Support Guide — 100% English Edition This worksheet covers fundamental SI units, derived quantities, metric prefixes, unit conversions, dimensional analysis, and the rules of significant figures in physics.
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اختبار شهادة تدريبي مؤقت للصف والمادة والفصل نفسه.
اختر إجابة واحدة لكل سؤال. عند الاختيار ستظهر النتيجة فورًا: الأخضر صحيح، والأحمر خطأ، وسيظهر تفسير الإجابة مباشرة إن كان متوفرًا. وبعد آخر سؤال ستظهر الدرجة النهائية تلقائيًا.
Which of the two speeds is greater: (140 km/h) or (40 m/s)?
Explanation
140 km/h / 3.6 = 38.9 m/s. Comparing 38.9 m/s to 40 m/s shows that 40 m/s is larger.
Question 17
17
Points: 1
A time interval is (4.0 × 10-3 s). Which of the following correctly expresses this interval using prefixes?
Explanation
The factor 10-3 corresponds to the prefix milli- (m), so 4.0 × 10-3 s = 4.0 ms.
Question 18
18
Points: 1
Which of the following values is equal to 86.2 cm?
Explanation
86.2 cm = 0.862 m = 8.62 × 10-4 km.
Question 19
19
Points: 1
Based on the equation: y = (6.0 m/s) + (3.0 m/s2)x. What physical quantity is represented by the symbol x, and what is its unit of measurement in this equation?
Explanation
For terms to be added, their units must match. (m/s2) × s = m/s, which matches the first term. Thus x is time in seconds.
Question 20
20
Points: 1
Dimensional Analysis: Which of the following equations is dimensionally correct based on velocity (v = d/t) and acceleration (a = v/t)?
Explanation
LHS: (m/s2) × m = m2/s2. RHS: (m/s)2 = m2/s2. Both sides are identical.
Question 21
21
Points: 1
Which of the following formulas is mathematically equivalent to the kinetic energy equation $E = \frac{1}{2} m v^2$ (solved for mass m)?
Explanation
Multiplying both sides by 2 gives 2E = mv2. Dividing by v2 gives m = 2E/v2.
Question 22
22
Points: 1
What is the number of significant figures in the measurement 0.005041 m?
Explanation
Leading zeros are not significant. The digits 5, 0, 4, 1 are significant.
Question 23
23
Points: 1
What is the number of significant figures in the measurement 2.002 m?
Explanation
Zeros between non-zero digits are always significant. All 4 digits are significant.
Question 24
24
Points: 1
What is the number of significant figures in the measurement 0.0021 m?
Explanation
Leading zeros are not significant. Only 2 and 1 are significant.
Question 25
25
Points: 1
What is the number of significant figures in the measurement 0.005041 m?
Explanation
Leading zeros (0.00) are not significant. The digits 5, 0, 4, and 1 are significant.
Question 26
26
Points: 1
What is the sum of: (0.5643 + 2.15 + 56), taking into account the correct number of significant figures?
Explanation
In addition, the result must match the term with the fewest decimal places. 56 has 0 decimals, so $58.7143 \to 59$.
Question 27
27
Points: 1
Mariam measured 46.00 mL of a liquid and then added 1.20 L of water. What is the final volume of the mixture in Liters (L)?
Explanation
46.00 mL = 0.04600 L. 1.20 L + 0.04600 L = 1.24600 L. Rounding to 2 decimal places (matching 1.20) gives 1.25 L.
Question 28
28
Points: 1
What is the area of a square sheet of paper with dimensions 3.6 cm × 3.6 cm, taking into account significant figures?
Explanation
3.6 × 3.6 = 12.96. Since each factor has 2 sig figs, the result must be rounded to 2 sig figs, which is 13.
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