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Q100 (CDS-I/2006) Science & Technology › Basic Science (Physics, Chemistry, Biology) › Basic mechanics concepts Answer Verified

Which one of the following statements is correct for a body falling freely under gravity? (neglect air resistance)

Result
Your answer: —  Â·  Correct: B
Explanation

When a body falls freely under gravity in a vacuum (neglecting air resistance), it is subject only to the constant acceleration due to gravity, 'g' [t6, t10]. Consequently, its acceleration does not increase; it remains constant [t8]. As the body descends, its velocity increases linearly with time (V = gt), which leads to a continuous increase in its kinetic energy (K = 1/2 mv²) [t3, t5]. Simultaneously, the body's height above the ground decreases, causing its gravitational potential energy (U = mgh) to decrease [t1, t3]. While the individual energies change, the total mechanical energy (the sum of kinetic and potential energy) remains constant throughout the fall due to the law of conservation of energy [t1, t2]. Momentum also changes because the velocity is increasing [t3]. Therefore, the correct statement is that kinetic energy increases while potential energy decreases.

Sources

  1. [1] https://www1.grc.nasa.gov/beginners-guide-to-aeronautics/motion-of-free-falling-object/
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