Question

when a bat hits a ball, what is the impulse?
○ the force multiplied by the time the objects are in contact
○ the change in velocity multiplied by the force
○ the mass multiplied by the acceleration
○ the mass multiplied by the force

Explanation:

Step1: Recall the impulse formula

Impulse \(J\) is defined as \(J = F\Delta t\), where \(F\) is the force and \(\Delta t\) is the time of contact.

Step2: Analyze other options

• For the option "the change in velocity multiplied by the force": \(J = m\Delta v\) (from \(J=\Delta p\) and \(p = mv\)), not \(\Delta v\times F\).
• For the option "the mass multiplied by the acceleration": \(F = ma\) (Newton's second law), not impulse.
• For the option "the mass multiplied by the force": \(m\times F\) has no physical meaning related to impulse.

Answer:

the force multiplied by the time the objects are in contact