Question

match the following quantities with their si base units. for any derived quantity, both the derived unit and its associated base units are given. drag the appropriate items to their respective bins. view available hint(s)

Explanation:

Step1: Recall SI base units for each quantity

• Length: The SI base unit for length is meter ($m$).
• Time: The SI base unit for time is second ($s$).
• Mass: The SI base unit for mass is kilogram ($kg$).
• Force: Force is a derived quantity, $F = ma$, so its unit is newton ($N$) which is equivalent to $\frac{kg\cdot m}{s^{2}}$.
• Area: Area is a derived quantity, for a rectangle $A = l\times w$, so its unit is square meter ($m^{2}$).
• Velocity: Velocity is a derived quantity, $v=\frac{\Delta x}{\Delta t}$, so its unit is meter per second ($\frac{m}{s}$).
• Acceleration: Acceleration is a derived quantity, $a = \frac{\Delta v}{\Delta t}$, so its unit is meter per second squared ($\frac{m}{s^{2}}$).

Step2: Match each quantity with its unit

• Length: $m$
• Time: $s$
• Mass: $kg$
• Force: $N$ (or $\frac{kg\cdot m}{s^{2}}$)
• Area: $m^{2}$
• Velocity: $\frac{m}{s}$
• Acceleration: $\frac{m}{s^{2}}$

Answer:

• Length: $m$
• Time: $s$
• Mass: $kg$
• Force: $N$ (or $\frac{kg\cdot m}{s^{2}}$)
• Area: $m^{2}$
• Velocity: $\frac{m}{s}$
• Acceleration: $\frac{m}{s^{2}}$