Questions: A batter applies an average force of 8000 N to a baseball for 1.10 s . What is the magnitude of the impulse delivered to the baseball?

Solution Steps

Impulse is defined as the product of the average force applied to an object and the time duration over which the force is applied. Mathematically, it is given by:

\[ J = F \cdot \Delta t \]

where:

• \( J \) is the impulse,
• \( F \) is the average force,
• \( \Delta t \) is the time duration.

We are given:

• \( F = 8000 \, \text{N} \)
• \( \Delta t = 1.10 \, \text{s} \)

Substituting these values into the impulse formula:

\[ J = 8000 \, \text{N} \times 1.10 \, \text{s} \]

Perform the multiplication to find the impulse:

\[ J = 8000 \times 1.10 = 8800 \, \text{N} \cdot \text{s} \]

Final Answer