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 0.6 N 0.6 N 1.8 N 1.8 N 65 N 65 N 11.6 N

1 answer

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

\[ F = m \times a \]

where:

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

First, we need to convert the mass of the baseball from grams to kilograms, since the standard SI unit for mass is kilograms (kg):

\[ m = 145 \text{ g} = 145 \div 1000 = 0.145 \text{ kg} \]

Next, we can use the acceleration provided:

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

Now we can calculate the force:

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

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

Therefore, the force applied to the baseball is 11.6 N.