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NEETPhysicsMotion in One Dimension

A motorcyclist is travelling due East at 10 m/s . They take a turn due North and simultaneously increase their speed to 10 3 m/s . The angle that the average force acting on the motorcyclist makes with the West direction is :

Options

  1. A30^ North of West
  2. B60^ North of East
  3. C60^ North of West
  4. D30^ North of East

Correct answer

C. 60^ North of West

Step-by-step solution

Taking East as the positive x-axis ( i ) and North as the positive y-axis ( j ): Initial velocity, v _i = 10 i Final velocity, v _f = 10 3 j According to Newton's second law, the average force acts in the direction of the change in velocity ( v ): v = v _f - v _i = -10 i + 10 3 j This vector has a negative x-component (West) and a positive y-component (North), so it lies in the North-West quadrant. The angle it makes with the West direction (negative x-axis) is given by: = | y-component | | x-component | = 10 3 10

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