This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.

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5.32 cm
Step 1: Define a perfect vacuum. A perfect vacuum is a region of space completely devoid of matter, including gas molecules, dust, and even elementary particles.
Step 2: Explain why it's impossible to achieve. It is impossible to achieve a perfect vacuum because there will always be some residual gas molecules, radiation, or quantum fluctuations present, even in the most advanced vacuum chambers.
Step 1: List properties of mercury. • High coefficient of thermal expansion: Mercury expands and contracts significantly and uniformly with temperature changes, making it very sensitive to temperature variations. • Opaque and silvery: It is easily visible against the glass, making readings clear. • Does not wet glass: Mercury's cohesive forces are stronger than its adhesive forces with glass, so it does not stick to the walls of the thermometer, ensuring accurate readings and preventing errors. • Wide range of liquid temperatures: It remains liquid over a broad temperature range, from to .
Step 1: Identify methods to reduce friction. • Lubrication: Applying a layer of oil, grease, or graphite between surfaces reduces direct contact and allows them to slide past each other more easily. • Polishing surfaces: Making surfaces smoother reduces the interlocking of irregularities, thereby decreasing friction. • Using ball bearings or rollers: These convert sliding friction into rolling friction, which is generally much lower. • Streamlining: Shaping objects to reduce air or fluid resistance.
Step 1: Define center of gravity. The center of gravity of a body is the imaginary point where the entire weight of the body appears to act.
a) Step 1: Explain why smoke particles are suitable. Smoke particles are suitable because they are very small and light, making them easily visible under a microscope and readily moved by collisions with invisible air molecules.
b) Step 1: Describe the observation. The smoke particles are observed to move in a random, jerky, zigzag motion.
Step 2: Explain the observation. This erratic movement is caused by the constant, uneven bombardment of the smoke particles by the much smaller, invisible, fast-moving air molecules. The collisions from different directions are not balanced, causing the smoke particles to change direction unpredictably.
Step 1: Analyze the precision of a meter rule. A standard meter rule has divisions of (). When taking a reading, one can typically read to the nearest and estimate one more digit, usually to the nearest .
Step 2: Evaluate the given readings. • : This reading has two decimal places, which is consistent with reading to the nearest millimeter and estimating the hundredths place. • : This reading has one decimal place. While possible, it is less precise than what a meter rule typically allows with estimation (e.g., ). • : This reading has three decimal places, implying a precision of . A standard meter rule cannot provide this level of precision.
Step 3: Determine the correct reading. The reading is incorrect because it exceeds the precision of a meter rule. Both and are plausible, but best represents the typical precision of a meter rule when the last digit is estimated.
The correct reading is .
Step 1: Identify the effect of filling the glass. When the wine glass is filled with wine, the total mass of the glass and its contents increases, and the center of gravity of the system shifts upwards.
Step 2: Explain the impact on stability. A higher center of gravity makes the object less stable. This is because when the glass is tilted, the line of action of its weight falls outside its base of support more easily, causing it to topple over with less effort.
Step 1: Define uniform velocity. Uniform velocity describes an object moving at a constant speed in a constant direction. This means the object's acceleration is zero.
Step 2: Define uniform acceleration. Uniform acceleration describes an object whose velocity changes by the same amount in equal time intervals. This means the object experiences a constant rate of change of velocity, and the direction of acceleration is also constant.
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This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.