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) Responses 65 N 65 N 11.6 N 11.6 N 1.8 N 1.8 N 0.6 N 0.6 N

1 answer

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, and
  • \( a \) is the acceleration.

First, convert the mass of the baseball from grams to kilograms:

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

Next, we know the acceleration is given as:

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

Now, substitute the values into the equation:

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

Calculating the force:

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

So, the correct response is 11.6 N.