How far will the car slise?

Physics
Tutor: None Selected Time limit: 1 Day

Jake's driving a car at 20-m/s and sees a deer and slams on brakes to come to a stop.The coefficient of friction between tires and road as tires slide over the road is 0.55. How far will the car slide?

Oct 16th, 2014

Let the mass of the car be M, so the force due to weight is Mg, where g = 9.81m/s^2 = acceleration of gravity [although sometimes this is approximated as 10m/s^2]. Breaking force = coefficient of friction x weight  = 0.55Mg. Acceleration of the car = - Breaking force / M = -0.55g.

If a body has acceleration a and initial speed u, then after displacement s has speed v, then v^2 = u^2 + 2as. When the car stops sliding v = 0, allowing calculation of the sliding distance s according to

0 = 20^2 + 2.(-0.55g).s = 400 - 10.79s, therefore s = 400/10.79 = 37.35m.

Oct 16th, 2014

Did you know? You can earn $20 for every friend you invite to Studypool!
Click here to
Refer a Friend
...
Oct 16th, 2014
...
Oct 16th, 2014
Dec 5th, 2016
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer