Impulse and its relationship to force and time:
* Impulse is the change in momentum of an object.
* Momentum is the mass of an object multiplied by its velocity.
* Impulse is calculated as the product of force and the time interval over which the force acts:
Impulse (J) = Force (F) × Time (Δt)
Halving the force and time:
If you halve both the force and the time of contact, you're essentially doing this:
* New Impulse (J') = (F/2) × (Δt/2)
* Simplifying: J' = (1/4) × (F × Δt)
Conclusion:
When you halve both the force and the time of contact, the impulse on the object is reduced to one-fourth (1/4) of its original value.