Download 1 Answer on Question #43438, Physics, Other To stop a 1000

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Transcript
1
Answer on Question #43438, Physics, Other
To stop a 1000-kg car, travelling at 65 km/h. If the braking distance is 35
meters, how much force is necessary to stop the car
Solution
First we find the braking time. From equations for velocity and distance:
v = v0 − atb
s = v0 tb − at2b /2
where v0 = 65km/h ≈ 18m/s and s = 35m Braking time is
tb =
2s
2 · 35
=
≈ 3.89 s
v0
18
So we have to change momentum of car to zero in tb = 3.89 s. Hence, we
need force
p
mv0
1000 · 18m/s
≈ 4627.25 N
F = =
=
tb
tb
3.89