A baseball has a mass of 145 g. A pitcher throws the baseball so that it accelerates at a rate of 80 m/s2. How much force did the pitcher apply to the baseball?(1 point)

Question

Responses
•
11.6 N
11.6 N
•
0.6 N
0.6 N
•
1.8 N
1.8 N
•
65 N

Answer 1

To find the force applied to the baseball, we can use Newton's second law of motion, which states:

\[ F = m \cdot a \]

where:

• \( F \) is the force,
• \( m \) is the mass,
• \( a \) is the acceleration.

First, we need to convert the mass from grams to kilograms, as the standard unit of mass in the International System of Units (SI) is kilograms:

\[ m = 145 , \text{g} = 0.145 , \text{kg} \]

Next, we have the acceleration:

\[ a = 80 , \text{m/s}^2 \]

Now we can substitute the values into the formula:

\[ F = 0.145 , \text{kg} \times 80 , \text{m/s}^2 \]

Calculating this gives:

\[ F = 11.6 , \text{N} \]

Thus, the amount of force the pitcher applied to the baseball is 11.6 N.