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Q4 (NDA-I/2013) Science & Technology › Basic Science (Physics, Chemistry, Biology) › Basic mechanics concepts Answer Verified

An object is undergoing a non-accelerated motion. Its rate of change in momentum is

Result
Your answer: —  Â·  Correct: B
Explanation

Newton's Second Law of Motion states that the net external force acting on an object is equal to its rate of change of momentum. Mathematically, this is expressed as F = dp/dt, where 'p' represents momentum and 't' represents time. Acceleration is defined as the rate of change of velocity; therefore, if an object is undergoing non-accelerated motion, its acceleration is zero. According to the relationship F = ma, if acceleration is zero, the net force acting on the object must also be zero. Since the net force is equivalent to the rate of change of momentum (dp/dt), a zero net force implies that the rate of change of momentum is zero. Consequently, for any object moving without acceleration, its momentum remains constant over time, making the rate of change exactly zero.

Sources

  1. [1] https://www1.grc.nasa.gov/beginners-guide-to-aeronautics/newtons-laws-of-motion/
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