jennifer is trying out for the soccer team and really wants to make varsity. after tryouts she learns she is on the junior varsi
1 answer:
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Answer:
The smallest radius will be four (4) times the initial radius
Explanation:
The car maintains a constant angular speed. According to Newton's Second Law F = m a
1.
2.
Replacing 2 in 1
3.
Where:
Fr= Frictional force
Rp= Initial Radius
An= Centripetal Acceleration
M= Mass
V= Velocity
Also we have that:
4.
μ= Coefficient of friction between the car and the surface
M= Mass
W= Weight
G= Gravity
r is cleared from equation 3
5.
Replacing 4 in 5
6.
Simplifying
7.
Now we have a new velocity equal to twice the initial velocity, We replace it by 2v in equation 7
8.
Computing
9.
Replacing 5 in 9
In order to calculate the unknown reaction force, we need to know that the sum of forces pointing down is equal the sum of the forces pointing up, so all forces will be in equilibrium.
So we have: