Question

What force (in newtons) is required to accelerate a body with a mass of 32 kilograms at a rate of 12 m/s²?

Answer 1

To determine the force required to accelerate a body, we can use Newton's second law of motion. This law states that the force (F) required to accelerate an object is the product of its mass (m) and its acceleration (a). The formula is given by:

$\[ F = m \times a \]$

Given the values:
- Mass $\((m)\)$ = 32 kilograms
- Acceleration $\((a)\)$ = 12 meters per second squared (m/s²)

We substitute these values into the formula:

$\[ F = 32 \text{ kg} \times 12 \text{ m/s}^2 \]$

Multiplying these numbers, we get:

$\[ F = 384 \text{ N} \]$

Thus, the force required to accelerate the body is 384 newtons.