Newtonian impulse concept: Equal force applied for equal time on different masses. Two bodies of different masses, both initially at rest, are acted upon by the same constant force for the same duration. What common physical quantity do they acquire? Choose the correct option.
IIT JEE
Physics
Difficulty: Easy
Choose an option
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AEqual change in momentum (same momentum after push)
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BEqual acceleration
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CEqual velocity
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DEqual kinetic energy
Answer
Correct Answer: Equal change in momentum (same momentum after push)
Explanation
Given data
- Initial state: both at rest.
- Same force F acts for the same time t.
Concept/ApproachImpulse–momentum theorem: Impulse = F·t = change in momentum.
Step-by-stepImpulse on body 1 = F·t; impulse on body 2 = F·t (same).Since both start from rest, final momentum of each = F·t.
Common pitfallsAcceleration depends on mass (a = F/m), so not equal; velocities and kinetic energies also differ.
Final AnswerEqual change in momentum (same momentum after push)