Sure, let's solve this problem step-by-step by applying Newton's second law of motion.
### Step 1: Understand the given values
- The mass of the bowling ball [tex]\( m \)[/tex] is [tex]\( 40 \, \text{kg} \)[/tex].
- The force applied [tex]\( F \)[/tex] is [tex]\( 8 \, \text{N} \)[/tex] (Newtons).
### Step 2: State Newton’s second law of motion
Newton's second law of motion states that the force [tex]\( F \)[/tex] applied on an object is equal to the mass [tex]\( m \)[/tex] of the object times its acceleration [tex]\( a \)[/tex].
[tex]\[ F = m \cdot a \][/tex]
### Step 3: Rearrange the formula to solve for acceleration
To find the acceleration, we need to solve for [tex]\( a \)[/tex]. Rearrange the formula:
[tex]\[ a = \frac{F}{m} \][/tex]
### Step 4: Substitute the given values into the formula
Substitute the values of the force and mass into the formula:
[tex]\[ a = \frac{8 \, \text{N}}{40 \, \text{kg}} \][/tex]
### Step 5: Perform the calculation
Divide the force by the mass:
[tex]\[ a = \frac{8}{40} = 0.2 \, \text{m/s}^2 \][/tex]
### Step 6: Match the calculated acceleration to the given options
Look at the provided options:
A. [tex]\( 4 \, \text{m/s}^2 \)[/tex]
B. [tex]\( 0.2 \, \text{m/s}^2 \)[/tex]
C. [tex]\( 8 \, \text{m/s}^2 \)[/tex]
D. [tex]\( 1.2 \, \text{m/s}^2 \)[/tex]
The calculated acceleration [tex]\( 0.2 \, \text{m/s}^2 \)[/tex] matches option B.
### Conclusion
The acceleration of the bowling ball is [tex]\( 0.2 \, \text{m/s}^2 \)[/tex].
Thus, the correct answer is:
B. [tex]\( 0.2 \, \text{m/s}^2 \)[/tex]
