A car is traveling on a level road with speed v_0 at the instant when the brakes lock, so that the tires slide rather than roll.

1) By what factor would the minimum stopping distance change if the coefficient of kinetic friction were doubled?

2) By what factor would the minimum stopping distance change if the initial speed were doubled?

3) By what factor would the minimum stopping distance change if both the coefficient of kinetic friction and the initial speed were doubled?

Question

A car is traveling on a level road with speed v_0 at the instant when the brakes lock, so that the tires slide rather than roll.

1) By what factor would the minimum stopping distance change if the coefficient of kinetic friction were doubled?

2) By what factor would the minimum stopping distance change if the initial speed were doubled?

3) By what factor would the minimum stopping distance change if both the coefficient of kinetic friction and the initial speed were doubled?

anonymous · Answer

question 1 looks like this
if you double friction, its' like doubling your ability to stop. so if we increase our ability to stop by two times, then we should be able to stop in half the original distance.