Suppose you were driving a car on a road at a constant speed of 35 mph. (The dia

Question

Suppose you were driving a car on a road at a constant speed of 35 mph. (The diagram is top down view
i. What location(s) if any are you experiencing balanced forces in the plane of the paper? unbalanced
ii. What location(s) if any are you experiencing forces in the plane of the paper? same? Explain.
iii. If there are unbalanced forces are they the
iv. What would change if you traveled at twice the speed?
v. What would change if we doubled the radius of curvature for any of the curves? about
vi. If I drew in the velocity vectors what would change them from A-B. What would stay the same?

Explanation / Answer

i) at B and D it will experience unbalanced force , at these two point ,the path has a curvature . the car experiences centrifugal force (m*v^2/r)

ii)at B and D it will experience unbalanced force , at these two point ,the path has a curvature . the car experiences centrifugal force (m*v^2/r). there is no force which can act in the path(assuming the plane is horizontal so gravity is always perpendicular to the displacement).

iii) they are centrifugal forces (m*v^2/r). (r is the radius of curvature).

iv)the value of the forces will be 4 times the previous one.

v) FA =m*v^2/rA and FB=m*v^2/rB

if we doubled the radius of curvature for any of the curves ,the force at the point( whose curvature is doubled) is halved. the force at other point is same.

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