Question

the units of acceleration, m/s2, are equivalent to which? *
acceleration = net force / mass
n/kg
n/kg2
kg/n
kg/n2

Explanation:

Step1: Recall unit of force

The unit of force (net force) is Newton (N), and from Newton's second law \( F = ma \), we know \( 1\,\text{N} = 1\,\text{kg}\cdot\text{m/s}^2 \).

Step2: Substitute units into acceleration formula

The formula for acceleration is \( a=\frac{F}{m} \). Substituting the units: \( F \) has unit \( \text{N}=\text{kg}\cdot\text{m/s}^2 \) and \( m \) has unit \( \text{kg} \). So \( a \) has units \( \frac{\text{kg}\cdot\text{m/s}^2}{\text{kg}}=\frac{\text{N}}{\text{kg}} \) (since \( \text{kg} \) cancels out). Also, we know acceleration's unit is \( \text{m/s}^2 \), so \( \text{m/s}^2=\text{N/kg} \).

Answer:

A. N/kg