A cyclist moving at a speed of 20 m/s takes a turn, if he doubles his speed then chance of overturn

CONCEPT:

Chance of Overturn for a Cyclist

• When a cyclist takes a turn, the chance of overturn depends on the speed of the cyclist and the centripetal force required to keep the cyclist on the curved path.
• The centripetal force is proportional to the square of the speed of the cyclist.

EXPLANATION:

• Let's examine the given options:
  • Option 1: is doubled
    • This option suggests that the chance of overturn is directly proportional to the speed. However, the chance of overturn actually depends on the square of the speed.
  • Option 2: is halved
    • This option suggests that the chance of overturn decreases as the speed increases, which is incorrect because the chance increases with speed.
  • Option 3: becomes four times
    • This option is correct. Since the chance of overturn is proportional to the square of the speed, doubling the speed will increase the chance of overturn by a factor of four.
  • Option 4: becomes 1/4 times
    • This option suggests that the chance of overturn decreases by a factor of four, which is incorrect because the chance increases with speed.

Therefore, the correct answer is option 3: becomes four times.