To find the acceleration of the object, we can use the formula [tex]\( F = ma \)[/tex], where [tex]\( F \)[/tex] is the force applied, [tex]\( m \)[/tex] is the mass of the object, and [tex]\( a \)[/tex] is the acceleration. We'll rearrange the formula to solve for [tex]\( a \)[/tex]:
[tex]\[ a = \frac{F}{m} \][/tex]
Given:
- [tex]\( F = 5 \)[/tex] Newtons (N)
- [tex]\( m = 50 \)[/tex] grams (g)
First, we need to convert the mass from grams to kilograms because the standard unit of mass in the International System of Units (SI) is kilograms. We do this by dividing the mass in grams by 1000:
[tex]\[ m = \frac{50 \text{ g}}{1000} = 0.05 \text{ kg} \][/tex]
Now we substitute the values of the force and mass into the rearranged formula to find the acceleration:
[tex]\[ a = \frac{5 \text{ N}}{0.05 \text{ kg}} \][/tex]
Performing the division:
[tex]\[ a = \frac{5}{0.05} = 100 \text{ m/s}^2 \][/tex]
Thus, the acceleration of the object is:
[tex]\[ 100 \text{ m/s}^2 \][/tex]
So, the correct answer is [tex]\( 100 \text{ m/s}^2 \)[/tex].
