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Sarah, who has a mass of 55 kg, is riding in a car at 20 m/s. She sees a cat crossing the street and slams on the brakes! Her seatbelt stops her from flying forward, bringing her to rest in 0.5 seconds

Respuesta :

MissPhiladelphia

F = (mass)(acceleration) = ma

m = 55 kg

Vi = 20 m/s

t = 0.5 s

Vf = 0 m/s (since she was put to rest)

a=(Vf-Vi)/t

a=(0-20)/5

a = 40 m/s^2 (decelerating)

F = ma = (55 kg)(40 m/s^2)

F = 2200 N

Hope this answer will be a good help for you.

Answer:

Force = 2200 N

Step-by-step explanation:

Given : Mass = 55 kg , Velocity of car = 20 m/s , time=0.5 s

To find : Force did the seat belt put on Sarah.

Force = (mass)(acceleration) = ma

Acceleration= (Final velocity - initial velocity) / time

Final velocity  [tex]V_f = 20 m/s[/tex]  , Initial velocity    [tex]V_i= 0[/tex]  (after break car is at rest),  time(t) =0.5 seconds

[tex]a=\frac{V_f-V_i}{t}[/tex]

[tex]a=\frac{20-0}{0.5}[/tex]

[tex]a=40 m/s^2[/tex]

Force = mass × acceleration

[tex]F=m\times a = (55 kg)(40 m/s^2)=2200 N[/tex]

Therefore, F = 2200 N



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