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aniacopenowell7
31.03.2020 •
Physics
If the coefficient of kinetic friction between tires and dry pavement is 0.98, what is the shortest distance in which you can stop an automobile by locking the brakes when traveling at 34.7 m/s
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Ответ:
The shortest distance is 62.7 m
Explanation:
Given;
coefficient of kinetic friction, μk = 0.98
initial velocity, u = 34.7 m/s
Frictional force on the tire;
Fk = -μkN
where;
N is normal reaction = mg
ma = -μkN
ma = -μkmg
a = -μkg
a = - 0.98 x 9.8 = -9.604 m/s²
The shortest distance in which you can stop an automobile by locking the brakes:
Apply equation of motion;
v² = u² + 2ax
where;
v is the final velocity
u is the initial velocity
a is the acceleration of the automobile
0 = 34.7² + 2(-9.604)x
0 = 1204.09 - 19.208x
19.208x = 1204.09
x = 1204.09/19.208
x = 62.7 m
Therefore, the shortest distance in which you can stop an automobile by locking the brakes when traveling at 34.7 m/s is 62.7 m
Ответ:
First Divide: 21.75/ 30
You will get 0.725
Then, multiply 0.725 by 100%
Then your answer should be: 72.5%