Question

Jennifer, who has a mass of 48.0 kg, is riding at 40.2 m/s in her red sports car when she must suddenly slam on the brakes. An air bag deploys in the car. She strikes the air bag, bringing her body to a stop in 0.56 s. What average force does the air bag exert on her

Answer 1

Answer:

$F = 3445.714\,N$

Explanation:

The system can be modelled appropriately by the use of the Principle of Momentum Conservation and Impact Theorem:

$(48\,kg)\cdot (40.2\,\frac{m}{s} ) - F\cdot (0.56\,s) = 0\,\frac{kg\cdot m}{s}$

The average force exerted on her:

$F = 3445.714\,N$

Answer 2

Answer:

F = 3,445.71 N

Explanation:

Finding the deceleration (a):

$a = \frac{u - v}{t}$

initial velocity = u = 40.2 m/s

final velocity = v = 0 m/s

a = 40.2/0.56 = 71.785 m/s^2

Now, Finding the force:

F = ma

mass = m = 48.0 kg

a = 71.785 m/s^2

the force is found to be 3,445.71 N