Question

A 61 kg person is in a head-on collision. The car's speed at impact is 14 m/s. Estimate the net force on the person if he or she is wearing a seat belt and if the air bag deploys.

Answer 1

Step-by-step explanation:

It is known that the relation between force and acceleration is as follows.

F = -ma ............ (1)

Also, acceleration (a) =
`(v^(2) - u^(2))/(2s)` ......... (2)

The given data is as follows.

v = 0, u = 14 m/s, s = 1

Therefore, putting the values of expression (2) into expression (1) as follows.

F =
`-m * (v^(2) - u^(2))/(2s)`

=
`-61 kg * ((0)^(2) - (14)^(2))/(2 * 1)`

= 5978 N

thus, we can conclude that net force on the person if he or she is wearing a seat belt and if the air bag deploys is 5978 N.