A man claims that he can hold onto a 15.0-kg child in a head-on collision as lon

Question

A man claims that he can hold onto a 15.0-kg child in a head-on collision as long as he has his seat belt on. Consider this man in a collision in which he is in one of two identical cars each traveling toward the other at 59.0 mi/h relative to the ground. The car in which he rides is brought to rest in 0.11 s. Find the magnitude of the average force needed to hold onto the child. N Based on your result to part (a), is the man's claim valid? This man's claim is nonsense. This man's claim is legitimate.

Explanation / Answer

Here ,

a)

magnitude of average force needed to hold the child is F

intiial speed , u = 59 mi/hr

u= 26.4 m/s

Now , using first equation of motion

v = u + a * t

0 = 26.5+ a * 0.11

a = 239.72 m/s^2

average force needed = m * a

average force needed = 239.72 * 15

average force needed = 3596 N

the average force needed is 3569 N

b)

as the force is very large

the man's claim is non sense

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