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

1.8 N
1.8 N

65 N
65 N

0.6 N
0.6 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 that \( F = m \cdot a \), where:

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

1. First, convert the mass of the baseball from grams to kilograms since the standard unit of mass in the SI system is kilograms: \[ m = 145 , \text{g} \times \frac{1 , \text{kg}}{1000 , \text{g}} = 0.145 , \text{kg} \]

2. The acceleration given is \( a = 80 , \text{m/s}^2 \).

3. Now substitute \( m \) and \( a \) into the formula: \[ F = 0.145 , \text{kg} \times 80 , \text{m/s}^2 \] \[ F = 11.6 , \text{N} \]

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