Complete the table. a. 355 km/s _____cm/s _____m/ms

Verified step by step guidance

1. Convert kilometers to centimeters: 1 km = 100,000 cm, so multiply 355 km by 100,000 to get the value in cm.
2. Convert kilometers to meters: 1 km = 1,000 m, so multiply 355 km by 1,000 to get the value in m.
3. Convert seconds to milliseconds: 1 s = 1,000 ms, so multiply the time in seconds by 1,000 to get the value in ms.
4. Combine the conversions to express the speed in cm/s and m/ms.
5. Ensure all units are consistent and check the calculations for accuracy.

Key Concepts

Unit Conversion

Unit conversion is the process of converting a quantity expressed in one set of units to another set of units. This is essential in chemistry and physics to ensure that measurements are consistent and comparable. For example, converting kilometers per second (km/s) to centimeters per second (cm/s) involves multiplying by a conversion factor, as 1 km equals 100,000 cm.

Metric System

The metric system is a decimal-based system of measurement used globally, which includes units such as meters, liters, and grams. Understanding the metric prefixes (like kilo-, centi-, and milli-) is crucial for converting between different scales. For instance, 'kilo-' denotes a factor of 1,000, while 'centi-' denotes a factor of 1/100, and 'milli-' denotes a factor of 1/1,000.

Dimensional Analysis

Dimensional analysis is a mathematical technique used to convert units by multiplying by conversion factors that equal one. This method ensures that the units cancel appropriately, leading to the desired unit in the final answer. It is particularly useful in solving problems involving multiple unit conversions, as seen in the question where km/s must be converted to cm/s and m/s.