Answer:
Radius=15.773 m
Explanation:
Given data
v=29.5 km/h=8.2 m/s
μs=0.435
To find
Radius R
Solution
The acceleration is a centripetal acceleration which is experienced by the bicycle given by
This acceleration is only due to static force which given as
The maximum value of the static force is given as
where
FN is normal force equal to mass*gravity
Therefore when the car is on the verge of sliding
Therefore the minimum radius should be found by the bicycle move without sliding
So
Answer:
See explanation below
Explanation:
If we are talking about the kinetic energy of the cylinder of oxygen:
The kinetic energy possessed by any object is given by
where
m is the mass of the object
v is its speed
In this case, we have one cylinder carried by a car and one standing on a platform: this means that the speed of the cylinder carried by the car will be different from zero (and so also its kinetic energy will be different from zer), while the speed of the cylinder standing on the platform will be zero (and so its kinetic energy also zero). Therefore, the kinetic energy of the cylinder carried by the car will be larger than that standing on a platform.
Instead, if we are talking about the kinetic energy due to the random motion of the molecules of oxygen inside the cylinder:
The kinetic energy of the molecules in a gas is directly proportional to the absolute temperature of the gas:
where k is called Boltzmann constant and T is the absolute temperature of the gas. Therefore, we see that K does not depend on whether the gas is in motion or not, but only on its temperature - therefore, in this case there is no difference between the kinetic energy of the cylinder carried by the car and that standing on the platform (assuming they are at the same temperature)
1) Acceleration of the car in front: -7.89 m/s^2
The only data we need for this part of the problem is:
--> initial velocity of the car
--> coefficient of friction between the car wheels and the road
From the coefficient of friction, we can find the deceleration of the car. In fact, the force of friction is given by
where m is the car's mass and is the acceleration due to gravity. We can find the car's acceleration by using Newton's second law:
And the negative sign means it is a deceleration.
2) Braking distance for the car in front: 48.6 m
This can be found by using the following SUVAT equation:
where
v=0 is the final velocity of the car
u=27.7 m/s is the initial velocity of the car
a=-7.89 m/s^2 is the acceleration of the car
S is the braking distance
By re-arranging the formula, we find S:
3) Minimum safe distance at which you can follow the car: 15.0 m
In this case, we must calculate the thinking distance, which is the distance you travel before hitting the brakes. During this time, the speed of your car is constant, so the thinking distance is given by
After hitting the brakes, your car decelerates at the same rate of the car in front of you, so the braking distance is the same of the other car:
So the total distance your car covers is
At the same time, the car in front of you just covered a distance of 48.6 m. So, in order to avoid the collision, you should travel at a distance equal to