Certainly! Let's solve this problem step-by-step.
### Problem:
A boy rolls a baseball horizontally on a surface with a net force of 2 Newtons to the right.
Given:
- The mass of the baseball: [tex]\( m = 200 \text{ grams} \)[/tex]
- The net force applied: [tex]\( F = 2 \text{ Newtons} \)[/tex]
We need to find the acceleration [tex]\( a \)[/tex] of the baseball.
### Step 1: Convert the mass from grams to kilograms
The mass [tex]\( m \)[/tex] given is 200 grams. Since standard SI units for mass are kilograms, we convert grams to kilograms:
[tex]\[ 1 \text{ gram} = 0.001 \text{ kilograms} \][/tex]
Therefore,
[tex]\[ m = 200 \text{ grams} \times 0.001 \text{ kilograms/gram} = 0.2 \text{ kilograms} \][/tex]
### Step 2: Use Newton's Second Law of Motion
Newton's Second Law states that the force acting on an object is equal to the mass of the object multiplied by its acceleration:
[tex]\[ F = m \cdot a \][/tex]
Rearranging to solve for acceleration [tex]\( a \)[/tex]:
[tex]\[ a = \frac{F}{m} \][/tex]
### Step 3: Substitute the values into the equation
We know:
- [tex]\( F = 2 \text{ Newtons} \)[/tex]
- [tex]\( m = 0.2 \text{ kilograms} \)[/tex]
Substitute these values into the equation:
[tex]\[ a = \frac{2 \text{ Newtons}}{0.2 \text{ kilograms}} \][/tex]
### Step 4: Calculate the acceleration
[tex]\[ a = \frac{2}{0.2} = 10 \text{ meters per second squared} \][/tex]
### Final Answer:
Therefore, the acceleration [tex]\( a \)[/tex] of the baseball is:
[tex]\[ a = 10 \text{ meters per second squared} \][/tex]
So, the baseball has an acceleration of [tex]\( 10 \text{ m/s}^2 \)[/tex].
