Question

6 multiple choice 1 point which conditions will result in the smallest change in momentum? a large force over a long time period a small force over a short time period a large force over a short time period a small force over a long time period

Explanation:

Step1: Recall the impulse - momentum theorem

The impulse - momentum theorem states that \(J=\Delta p\), where \(J = F\Delta t\) (impulse \(J\) is the product of force \(F\) and time interval \(\Delta t\)), and \(\Delta p\) is the change in momentum.

Step2: Analyze each option

• For a large force \(F\) over a long time period \(\Delta t\): \(J = F\Delta t\) will be large (since both \(F\) and \(\Delta t\) are large), so \(\Delta p\) is large.
• For a small force \(F\) over a short time period \(\Delta t\): \(J=F\Delta t\) will be small (since both \(F\) and \(\Delta t\) are small).
• For a large force \(F\) over a short time period \(\Delta t\): \(J = F\Delta t\) may be moderate (depending on the values, but \(F\) is large and \(\Delta t\) is small, but compared to \(F\) small and \(\Delta t\) small, it's larger).
• For a small force \(F\) over a long time period \(\Delta t\): \(J=F\Delta t\) may be moderate (since \(F\) is small but \(\Delta t\) is large).

Answer:

a small force over a short time period