Linear momentum: The product of mass and velocity of a moving body is termed what in mechanics?
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Amomentum
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Bmoment
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Cimpulse
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Dpower
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Eenergy
Answer
Correct Answer: momentum
Explanation
Introduction / Context:
Basic mechanics distinguishes between several related but different quantities: momentum, impulse, work, power, and moment. Correct terminology is crucial for applying conservation laws and solving collision and dynamics problems.
Given Data / Assumptions:
- Mass m and velocity v describe translational motion.
Concept / Approach:
Linear momentum p is defined as p = m * v. It is a vector quantity pointing in the direction of motion. Momentum conservation is a cornerstone principle for analyzing isolated systems and impacts.
Step-by-Step Solution:
Identify the definition: momentum = mass * velocity.Therefore, the correct term for m * v is momentum.Verification / Alternative check:
Impulse is the time integral of force and equals the change in momentum; moment relates to rotational effects (force * perpendicular distance); power is the rate of doing work. None of these equal m * v.
Why Other Options Are Wrong:
- Moment pertains to rotation, not translation.
- Impulse is change of momentum, not momentum itself.
- Power is work rate; energy is capacity to do work.
Common Pitfalls:
- Using 'moment' when you really mean 'momentum' in translational problems.
Final Answer:
momentum