Newton's Second Law Quick Check

Question

3 of 43 of 4 Items
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

65 N
65 N

1.8 N
1.8 N

0.6 N
0.6 N

11.6 N
11.6 N

Answer 1

To find the force applied to the baseball, you can use Newton's Second Law, which states:

\[ F = m \times a \]

Where:

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

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

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

Now, plug in the values:

• Mass (\( m \)) = 0.145 kg
• Acceleration (\( a \)) = 80 m/s²

Now calculate the force:

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

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

So, the correct response is:

11.6 N