A 0.2-kilogram softball is thrown torward a catcher's mitt. The ball is accelerating at a rate of 8 meters per second squared. With what force will the ball hit the catcher's mitt? 40 N. 7.9 N. 8.2 N. 1.6 N.

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 month ago

To determine the force with which the softball will hit the catcher's mitt, 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.

Given:
- The mass \( m = 0.2 \) kg,
- The acceleration \( a = 8 \) m/s².

Substituting the values into the equation:

\[ F = 0.2 \, \text{kg} \cdot 8 \, \text{m/s}^2 = 1.6 \, \text{N} \]

Therefore, the force with which the ball will hit the catcher's mitt is **1.6 N**.