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Answer:
As given that the car maintains a constant speed v as it traverses the hill and valley where both the valley and hill have a radius of curvature R.
(i) At point C, the normal force acting on the car is largest because the centripetal force is up. gravity is down and normal force is up. net force is up so magnitude of normal force must be greater than the car's weight.
(ii) At point A, the normal force acting on the car is smallest because the centripetal force is down. gravity is down and normal force is up. net force is up so magnitude of normal force must be less than car's weight.
(iii) At point C, the driver will feel heaviest because the driver's apparent weight is the normal force on her body.
(iv) At point A, the driver will feel the lightest.
(v)The car can go that much fast without losing contact with the road at A can be determined as follow:
Fn=0 - lose contact with road
Fg= mv²/r
mg=mv²/r
v=sqrt (gr)
The normal force is the force that a surface exerts on the object that is in contact with the surface. The magnitude of the normal force will be largest at point C and smallest at point A.
Centripetal force:
It is a that a body experiences in the curved path. This force pull attracts the body towards the center of the curvature.
Normal force:
- It is the force that a surface exerts on the object that is in contact with the surface.
- At point C, the direction of the centripetal force is up so, the normal force is up, so the magnitude of the normal force will be largest at point C.
- At point A, the direction of the centripetal force is down and the normal force is up, so the magnitude of the normal force will be smallest at point A.
Therefore, the magnitude of the normal force will be largest at point C and smallest at point A.
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