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NTA Abhyas JEE Main2020PhysicsMotion in One DimensionPractice

A rat is running on ice with speed v = π m s - 1 . Suddenly he decides to turn by 90 ° and want to keep running with the same speed throughout. What is the least amount of time (in seconds) he needs for such a turn? Suppose that rat’s feet can move independently. Coefficient of friction between rat’s feet and ice is 0 . 125 . (Given: π 2 = g )

Correct answer

4

Step-by-step solution

v = μRg ; π 2 = 1 8 R × 10 ; R = 4 π 2 5 ; T = πR 2 v = π 2 π × 4 π 2 5 = 4   s

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