Explain why roads on hills are built to wind around in gentle slopes. Class 9

Explain why roads on hills are built to wind around in gentle slopes. Class 9

Question 1.

Explain why roads on hills are built to wind around in gentle slopes rather than going straight up (Fig)? (Page 132) Class 9

Answer:

Roads on hills are built as gentle winding slopes because they act as inclined planes with a larger length L relative to height h. From MA = L/h, a larger L gives a higher MA, meaning less effort (force) is required to drive up the hill. Although the total work done is the same and the distance travelled is more, the force required at any point is much less, making it easier for vehicles and people to climb. A straight vertical road would require a very large force, making it impractical.

Question 2.

To reach a higher floor, we find climbing an inclined ladder easier in comparison to climbing a vertical ladder (Fig.).

Explain why. (Page 132)

Answer:

An inclined ladder functions ladder as an inclined plane with MA = L/h, where L is the length of the ladder and h is the height gained. Since L > h, the force required to climb (effort) is less than the person's weight (load). In contrast, a vertical ladder requires a force equal to the person's full body weight at every step. Thus, the inclined ladder requires less effort, making it easier to climb.