the coefficient of friction between the tires and road is 0.80 and 1000kg car traveling at 20m/s slams on the brakes and skids to a stop.
Solution :
Given :
u = coefficient of friction = 0.80
m = mass = 1,000 kgs
vi = initial velocity = 20m/s
vf = final velocity = 0
a = acceleration = ?
s = distance/skid marks = ?
F = uN
F = (0.80) x (1,000 kg x 9.81N/kg)
F = 7,848.00 Newtons
But :
F = ma
a = F/m
a = (7,848.00N)/(1,000)
a = 7.848 m/sec^2 (deceleration) - to be negative acceleration
vf^2 = vi^2 + 2as
0 = 20^2 - (2 x 7.848) x s
15.696s = 400
s = 400/15.696
s = 25.48 meters (Answer) - The length of skid marks.
Hope this helps.
Lul skid marks.
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Verified answer
Solution :
Given :
u = coefficient of friction = 0.80
m = mass = 1,000 kgs
vi = initial velocity = 20m/s
vf = final velocity = 0
a = acceleration = ?
s = distance/skid marks = ?
F = uN
F = (0.80) x (1,000 kg x 9.81N/kg)
F = 7,848.00 Newtons
But :
F = ma
a = F/m
a = (7,848.00N)/(1,000)
a = 7.848 m/sec^2 (deceleration) - to be negative acceleration
vf^2 = vi^2 + 2as
0 = 20^2 - (2 x 7.848) x s
15.696s = 400
s = 400/15.696
s = 25.48 meters (Answer) - The length of skid marks.
Hope this helps.
Lul skid marks.