1 Answer

Sophocles · Answer 1 · 2021-03-11T07:41:00+0000

Answer: -424.24 N

It's negative because the vehicle is in motion and we want to bring it to a full stop, therefore we must apply a force in the opposite direction.

Step-by-step explanation:

$F = ma\\\\F = Force\\m = mass (kg)\\a = acceleration (m/s^2)$

Find the acceleration

$V_1 = 95km/h\\V_2 = 0$

Convert from km/h to m/s

95(km)/(h) ((1000m)/(1km) )((1h)/(3600s) )= 26.39m/s

$a = (V_2-V_1)/(t)\\\\a = (0-26.39m/s )/(8s)\\\\a = -3.30m/s^2$

Plug this information into the original Force Formula

$F =ma\\\\F = (1400kg)(-3.30m/s^2)\\F =-424.24 N$

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