Question

1. a 10 kg box accelerates at 3 m/s². what force? show work:

Explanation:

Step1: Recall Newton's second law

Newton's second law states that force \( F \) is equal to mass \( m \) multiplied by acceleration \( a \), i.e., \( F = ma \).

Step2: Substitute the given values

Given that the mass \( m = 10 \, \text{kg} \) and the acceleration \( a = 3 \, \text{m/s}^2 \). Substituting these values into the formula, we get \( F = 10 \, \text{kg} \times 3 \, \text{m/s}^2 \).

Step3: Calculate the force

Multiplying \( 10 \) by \( 3 \), we have \( F = 30 \, \text{N} \) (since the unit of force is newton, \( \text{N} \), and \( 1 \, \text{N} = 1 \, \text{kg} \cdot \text{m/s}^2 \)).

Answer:

The force is \( 30 \, \text{newtons} \) (or \( 30 \, \text{N} \)).