Question

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

1.8 N
1.8 N

65 N
65 N

0.6 N
0.6 N

11.6 N
11.6 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 of the baseball from grams to kilograms, since the standard unit of mass in the metric system is kilograms.

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

Now we can use the given acceleration \( a = 80 \, \text{m/s}^2 \):

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

Now we can do the calculation:

\[ F = 0.145 \cdot 80 = 11.6 \, \text{N} \]

Therefore, the force applied to the baseball by the pitcher is **11.6 N**.