The frictional force between the tires and the road prevent the car from skidding off the road due to centripetal force.
If the frictional force is less than the centripetal force, the car will skid when it navigates a circular path.
The diagram below shows that when the car travels at tangential velocity, v, on a circular path with radius, r, the centripetal acceleration of v²/ r acts toward the center of the circle.
The resultant centripetal force is (mv²)/r, which should be balanced by the frictional force of μmg, where μ = coefficient of kinetic friction., and mg is the normal reaction on a car with mass, m.
This principle is applied on racing tracks, where the road is inclined away from the circle to give the car an extra restoring force to overcome the centripetal force.
Answer:
The probability of failure of trial 11 is 
Step-by-step explanation:
Generally one the attributes of a binomial experiment is that the probability of success and failure is constant every trial so given from the question that the probability of success is 0.84 for trial 7 , then the probability of failure of trial 7 will be evaluated as
=>
And from the attribute stated above the probability of failure of trial 11 is
Answer:
104
Step-by-step explanation:
Let's say that the numbers are x and y. So, we know that....
x+y=186
y-x=22
Now we can use the substitution method to find the numbers. y-x=22 turns into y=22+x. And now we can substitute to the second equation into the first equation.
x+22+x=186
2x=164
x=82
y=22+82
y=104
Our numbers are 82 and 104 and the larger integer is 104, so that's the answer.
Answer:
81/5 or 16 1/5.
Step-by-step explanation:
First convert the mixed number to an improper fraction:
3 6/7
= (3*7 + 6) / 7
= 27/7.
So we have
27/7 / 5/21
Invert the second fraction and multiply:
= 27/7 * 21/5
= (27*21) / (7*5)
= (27*3) / 5 ( as 21/7 = 3)
= 81/5
= 16 1/5.
