Certainly! Let's work through the problem step-by-step to find the required acceleration.
Problem:
Given a mass of [tex]\( 6 \ \text{kg} \)[/tex] and a force of [tex]\( 12 \ \text{N} \)[/tex], calculate the acceleration.
Solution:
1. Identify the given values:
- Mass [tex]\( m = 6 \ \text{kg} \)[/tex]
- Force [tex]\( F = 12 \ \text{N} \)[/tex]
2. Recall the formula for acceleration:
Acceleration [tex]\( A \)[/tex] is determined by the formula:
[tex]\[
A = \frac{F}{m}
\][/tex]
3. Substitute the given values into the formula:
Substitute [tex]\( F = 12 \ \text{N} \)[/tex] and [tex]\( m = 6 \ \text{kg} \)[/tex] into the formula:
[tex]\[
A = \frac{12 \ \text{N}}{6 \ \text{kg}}
\][/tex]
4. Perform the division:
Calculate the value of [tex]\( A \)[/tex]:
[tex]\[
A = \frac{12}{6} = 2 \ m/s^2
\][/tex]
Answer:
The acceleration [tex]\( A \)[/tex] is [tex]\( 2 \ m/s^2 \)[/tex].
This means that the object with a mass of [tex]\( 6 \ \text{kg} \)[/tex], when acted upon by a force of [tex]\( 12 \ \text{N} \)[/tex], will accelerate at [tex]\( 2 \ m/s^2 \)[/tex].
