PLEASE HELP - NOBODY ANSWERED MY QUESTION YESTERDAY.
sue drives her 1452 kg car along a straight road at a constant velocity of 30 m/s [E]. Ger brakes suddently give out. she puts the car in neutral and lets it coast for 25 seconds. The air drag decelerates the car to a velocityof 25 m/s [E]. assume a frictionless surface.
PART C IS WHERE IM CONFUSED, BUT YOU'LL NEED TO KNOW MY ANSWERS TO THE OTHER ONES FIRST.
b)determine average acceleration while car's decelerating
m=1452 kh
v1=30 m/s [E]
v2=25 m/s [E]
t=25s
d=1/2(v1+v2)(t)
=1/2(55)(25)
=688 m
a= v2squared-v1squared/2(d)
=25squared-30squared/2(688)
= -0.20 m/ssquared
b)determine average force of air against car
F=(m)(a)
=(1452)(-.2)
=-290.4N
c)after coasting for 25s, she pulls her e-brake to slow to the car to a stop. If it takes 3s to stop the car, what is the force applied by the e-brake? Assume that the force exerted by the air remains constant and is equal to the forst determined in part (b).
2 answers
a = [v(2) - v(1)] = -5.0 / 25 = -0.2 m/s^2
Note that is it negative.
(b) Force = ma = 1452*(-0.2) = -290 N
(the minus sign means the force is backwards).
(c) To decelerate a car in 3 s from a speed of 25 m/s, the acceleration must be -25/3 = -8.33 m/s^2
-0.2 m/s^2 of that deceleration was due to the aerodynamic force, so the remaining -8.13 m/s^2 must be due to emergency brake friction.
The force applied by the e-brake is
F(eb) = m*a(eb) = -8.13*1452 = -12,100 N