When a body falls freely under gravity, then which of the following quantities DOES NOT remain constant: 

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RRB Technician Grade III Official Paper (Held On: 28 Dec, 2024 Shift 2)
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  1. Acceleration
  2. Universal Gravitational Constant
  3. Distance
  4. Mass

Answer (Detailed Solution Below)

Option 3 : Distance
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The correct answer is Distance.

Key Points

  • When a body falls freely under gravity, it is under constant acceleration due to gravity, which is approximately 9.8 m/s² near the Earth's surface.
  • The mass of the falling body remains constant as it falls, as mass does not change with motion.
  • The universal gravitational constant (G) is a fundamental constant of nature and does not change.
  • The distance covered by the body, however, changes continuously as the body falls, increasing with time.

Additional Information

  • Acceleration due to Gravity (g)
    • It is the acceleration of an object due to the force of gravity alone.
    • On Earth, the average value of g is approximately 9.8 m/s².
    • It remains constant for objects in free fall near the Earth's surface.
  • Universal Gravitational Constant (G)
    • It is denoted by G and is a key quantity in Newton's law of universal gravitation.
    • The value of G is approximately 6.674 × 10⁻¹¹ N(m/kg)².
    • It is a constant and does not change with location or motion.
  • Mass
    • Mass is a measure of the amount of matter in an object.
    • It remains constant regardless of an object's state of motion.
    • It is typically measured in kilograms (kg).
  • Distance
    • Distance is a measure of how far an object has moved.
    • It changes as the object moves, increasing with time as the object falls.
    • In free fall, the distance covered can be calculated using kinematic equations.
  • Kinematic Equations
    • These equations describe the motion of objects under constant acceleration.
    • They include equations for calculating velocity, distance, and time.
    • For free fall, the distance covered by a body can be calculated using s=ut+12gt² , where u is the initial velocity (zero for free fall), g is the acceleration due to gravity, and t is time.
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