Answer:
a) 45571 N
b) 22786 N
c) 4557 N
Explanation:
- Since the goal of the airbag is helping the person to stop after the collision in a greater time, this means that the change in momentum must finish when this is just zero.
- In other words, the change in momentum, must be equal to the initial one, but with opposite sign.
- Now, just applying the original form of Newton's 2nd Law, we know that this change in momentum must be equal to the impulse needed to stop the person:
- So, as we know the magnitude of Δp from (1) and we have different Δt as givens, we can get the different values of F (in magnitude) required to stop the person for each one of them, as follows: