Social Studies: You must not drive at excessive speeds. if you double the speed of a car, the force of impact in a crash is - doubled. - four times as great. - five times as great.

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You must not drive at excessive speeds. if you double

michaelowenmccollum

02.01.2022

Four times as great.

Explanation:

The force of impact is given by the impulse

Impulse is the change in momentum of an object

u = Initial velocity of the car

v = Final velocity of the car = 0

m = Mass of the car

$J=p_f-p_i\\\Rightarrow J=mv-mu\\\Rightarrow J=m(v-u)\\\Rightarrow J=mu$

When velocity is four times greater

J=4mu

So, if velocity is increased 4 times the momentum will increase four times thus increasing the force of impact by four times.

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