His average speed is 10.3 m/s
Explanation:
In this problem, Bolt is moving by uniform motion (=constant velocity and constant speed), so its average speed is given by
where
d is the distance covered
t is the time taken
In this race, Bolt has covered a distance of
d = 100 m
In a time of
t = 9.69 s
Therefore, his average speed is
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b) The maximum speed of the car is 47.0 m/s
a) The centripetal force on the car is 7363 N
Explanation:
b)
We have to proceed by solving part b) first. The frictional force between the tires of the car and the road provides the centripetal force that keeps the car in circular motion, therefore we can write:
where the term on the left is the frictional force while the term on the right is the centripetal force, and where
is the coefficient of friction
m = 1000 kg is the mass of the car
r = 300 m is the radius of the turn
v is the speed of the car
The maximum speed of the car is the speed for which the frictional force is still enough to keep the car in circular motion, so
Therefore, solving for , we find
a)
The centripetal force for an object in circular motion is given by
where
m is the mass of the object
v is its speed
r is the radius of the circular path
For the car in this problem,
m = 1000 kg
v = 47.0 m/s
r = 300 m
Solving for F, we find the force:
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