Which of the following statements is INCORRECT?

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  1. In the second law of motion F = ma
  2. Force is not always in the direction of motion.
  3. Force on a body at a given time is determined by the situation at the location of the body at that time.
  4. Impulse is the product of force and time which equals change in acceleration.

Answer (Detailed Solution Below)

Option 4 : Impulse is the product of force and time which equals change in acceleration.
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Detailed Solution

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The correct answer is option 4.

Key Points

  • Impulse is defined as the product of force and the time interval during which the force acts.
  • Impulse equals the change in momentum of an object, not the change in acceleration.
  • The formula for impulse is \( J = F \cdot \Delta t \), where \( J \) is impulse, \( F \) is force, and \( \Delta t \) is the time interval.
  • Impulse has the same units as momentum (kg·m/s) and is a vector quantity.

Additional Information

  • Newton's Second Law of Motion:
    • States that the force acting on an object is equal to the mass of the object multiplied by its acceleration (F = ma).
  • Direction of Force:
    • Force is not always in the direction of motion; for example, friction acts opposite to the direction of motion.
  • Situational Force:
    • The force on a body at any given time is determined by the external conditions and interactions at the location of the body.
  • Momentum:
    • Momentum is the product of mass and velocity of an object (p = mv).
    • Impulse and momentum are closely related; impulse results in a change in momentum.
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