Give the derived SI units for each of the following quantities in base SI units: (a) acceleration = distance/time² (b) force = mass × acceleration (c) work = force × distance (d) pressure = force/area

검증된 단계별 안내

Identify the base SI units for distance and time: distance is measured in meters (m) and time is measured in seconds (s).

Write the formula for acceleration: acceleration = distance/time^2.

Substitute the base SI units into the formula: acceleration = meters/seconds^2.

Simplify the expression: acceleration = m/s^2.

Thus, the derived SI unit for acceleration is m/s^2.

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주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

SI Units

The International System of Units (SI) is the standard system of measurement used in science and engineering. It is based on seven base units, including meter (m) for distance, second (s) for time, and kilogram (kg) for mass. Derived units are formed from these base units to express other physical quantities, such as acceleration.

Acceleration

Acceleration is defined as the rate of change of velocity per unit time. In terms of SI units, it is expressed as meters per second squared (m/s²). This indicates how much the velocity of an object changes in meters for every second squared of time, making it a crucial concept in kinematics and dynamics.

Derived Units

Derived units are combinations of base SI units that describe other physical quantities. For example, acceleration is derived from the base units of distance (meters) and time (seconds). Understanding how to derive these units is essential for converting and manipulating measurements in physics and chemistry.

Give the derived SI units for each of the following quantities in base SI units: (a) acceleration = distance/time2 (b) force = mass × acceleration (c) work = force × distance (d) pressure = force/area