A car is traveling at 50.0 km/h on a flat

namenerk

namenerk

Answered question

2021-12-26

A car is traveling at 50.0 km/h on a flat highway. If the coefficient of friction between road and tires on a rainy day is 0.100, what is the minimum distance in which the car will stop?

Answer & Explanation

Medicim6

Medicim6

Beginner2021-12-27Added 33 answers

To determine this, apply Newton's Second Law in the Y direction FN=mg. To ascertain that, set up Newton's Second Law in the x direction ax=μg. Remember that Fiction=μFN. Due to its opposition to the direction of motion, the acceleration will be negative.
Fy=may
FNFg=0
FN=Fg=mg
Fx=max
Fiction=max
μFN=max
μmg=max
ax=μg
Put the speed into meters per second first. then apply vf2=vi2+2ad the stopping distance to be determined. Use the acceleration and starting speed from the previous section. (ax=μg) from above.
50.0kmh1000 m1 km1 h3600 s=13.9ms
vf2=vi2+2ad
vf2=vi22μgd
02=13.922(0.100)(9.81)d
d=98.5 m

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?