Question
Calculating Force
Karl chooses a bowling ball with a mass of 4.75 kg. When Karl rolls the ball, it's acceleration is 1.5 m/s2.
Show your work to calculate the force on the ball.
Be sure your response includes the formula you used, your substitutions into the formula, and the units (Newtons or N).
(2 points)
Answers
GPT-4o mini
To calculate the force on the bowling ball, we can use Newton's second law of motion, which states:
\[ F = m \cdot a \]
where:
- \( F \) is the force (in Newtons, N),
- \( m \) is the mass (in kilograms, kg),
- \( a \) is the acceleration (in meters per second squared, m/s²).
### Step 1: Identify the values
- Mass of the bowling ball, \( m = 4.75 \, \text{kg} \)
- Acceleration of the bowling ball, \( a = 1.5 \, \text{m/s}^2 \)
### Step 2: Substitute the values into the formula
Now we will substitute the values of \( m \) and \( a \) into the formula:
\[ F = 4.75 \, \text{kg} \cdot 1.5 \, \text{m/s}^2 \]
### Step 3: Perform the calculation
Now, we can perform the multiplication:
\[ F = 4.75 \times 1.5 = 7.125 \, \text{N} \]
### Conclusion
The force exerted on the bowling ball is:
\[ F = 7.125 \, \text{N} \]
Thus, the final answer is:
**Force on the ball = 7.125 N**
\[ F = m \cdot a \]
where:
- \( F \) is the force (in Newtons, N),
- \( m \) is the mass (in kilograms, kg),
- \( a \) is the acceleration (in meters per second squared, m/s²).
### Step 1: Identify the values
- Mass of the bowling ball, \( m = 4.75 \, \text{kg} \)
- Acceleration of the bowling ball, \( a = 1.5 \, \text{m/s}^2 \)
### Step 2: Substitute the values into the formula
Now we will substitute the values of \( m \) and \( a \) into the formula:
\[ F = 4.75 \, \text{kg} \cdot 1.5 \, \text{m/s}^2 \]
### Step 3: Perform the calculation
Now, we can perform the multiplication:
\[ F = 4.75 \times 1.5 = 7.125 \, \text{N} \]
### Conclusion
The force exerted on the bowling ball is:
\[ F = 7.125 \, \text{N} \]
Thus, the final answer is:
**Force on the ball = 7.125 N**