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NEET2023PhysicsLaws of MotionActual

Calculate the maximum acceleration of a moving car so that a body lying on the floor of the car remains stationary. The coefficient of static friction between the body and the floor is 0 . 15 g = 10   m   s - 2

Options

  1. A50   m   s - 2
  2. B1 . 2   m   s - 2
  3. C150   m   s - 2
  4. D1 . 5   m   s - 2

Correct answer

D. 1 . 5   m   s - 2

Step-by-step solution

When the body remains stationary on the floor of the car, let's consider the following free-body diagram of the body: The formula to calculate the Newtonian force on the body is given by F = m a max       . . . 1 And, the frictional force on the body by the surface of the car is given by f = μ s m g       . . . 2 Equate equations (1) and (2) and simplify to obtain the required maximum acceleration of the car. m a max = μ s m g ⇒ a max = μ s g     &#16

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