To determine the acceleration of a 10 kg object subjected to a force of 50 N, we can use Newton's Second Law of Motion. Newton's Second Law states that the acceleration [tex]\( a \)[/tex] of an object is directly proportional to the net force [tex]\( F \)[/tex] acting upon it and inversely proportional to its mass [tex]\( m \)[/tex]. This relationship is mathematically expressed by the formula:
[tex]\[ a = \frac{F}{m} \][/tex]
Where:
- [tex]\( a \)[/tex] is the acceleration,
- [tex]\( F \)[/tex] is the net force,
- [tex]\( m \)[/tex] is the mass of the object.
Given:
- The mass of the object [tex]\( m = 10 \)[/tex] kg,
- The force applied [tex]\( F = 50 \)[/tex] N (Newtons).
By substituting the given values into the formula, we get:
[tex]\[ a = \frac{50 \, \text{N}}{10 \, \text{kg}} \][/tex]
Performing the division:
[tex]\[ a = 5 \, \text{m/s}^2 \][/tex]
So, the acceleration of the object is [tex]\( 5 \, \text{m/s}^2 \)[/tex].
