Concepts Of Physics MCQ Edition [Volume 1]
- Exam
- Concepts Of Physics MCQ Edition [Volume 1]
- Subject
- Physics
- Chapter
- Circular Motion
Concepts Of Physics MCQ Edition [Volume 1] · Physics · Circular Motion
A car travels at a constant speed along a road, as shown in the...
A car travels at a constant speed along a road, as shown in the figure. The normal force exerted by the road on the car is when the car is at point , and when it is at point .


Options
- A
- B
- C
- Dthe relationship between and cannot be determined from the given information
Correct answer
B.
Step-by-step solution
At the highest point of a convex path, the net force towards the center of curvature provides the necessary centripetal force.
The equation of motion is:
Rearranging for the normal force , we get:
From the given figure, the curve at point A is sharper than the curve at point B. This means the radius of curvature at A is smaller than that at B, i.e., .
Since the car travels at a constant speed , the term is larger for point A than for point B.
Therefore,
The equation of motion is:
Rearranging for the normal force , we get:
From the given figure, the curve at point A is sharper than the curve at point B. This means the radius of curvature at A is smaller than that at B, i.e., .
Since the car travels at a constant speed , the term is larger for point A than for point B.
Therefore,