KCET2014PhysicsGravitation
A person is driving a vehicle at uniform speed of ( 5 ~ms ⁻¹ ) on a level curved track of radius ( 5 ~m ). The coefficient of static friction between tyres and road is ( 0.1 ). Will the person slip while taking the turn with the same speed? Take ( g=10 ~ms ⁻² ). Choose the correct statement.
Options
- AA person will slip if ( v²=5 ~ms ⁻¹ )
- BA person will slip if ( v²>5 m s⁻¹ )
- CA person will slip if ( v² < 5 m s⁻¹ )
- DA person will slip if ( v²>10 ~ms ⁻¹ )
Correct answer
B. A person will slip if ( v²>5 m s⁻¹ )
Step-by-step solution
Given, Speed of vehicle =5 ~ms ⁻¹ , radius of track =5 ~m , coefficient of static friction =0.1, ~g =10 ~m ~s -1 maximum speed without slipping in given as v _ = _ s r g Substituting the values, we get v_ = 0.1 5 10 = 5 v_ ²=5 Thus, the person will slip while taking the turn with the speed greater than 5 ~ms ⁻¹