(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

True or false:

"Given that the same force acts on particle A and B, If object B covers the same distance in less time than particle A, object B is less massive than object A"

2. Relevant equations

net force = mass(acceleration)

3. The attempt at a solution

I believe this is true because f = ma implies that m = f/a

Looking at m = f/a I find a conditional:

If acceleration is large, mass is small.

Looking at a= dv/dt I find another conditional:

If time gets small, acceleration gets large.

Putting these conditionals together in the statement m = f/a, I find the conditional:

As the interval of time decreases, the mass of the particle must decrease (assuming a constant force and distance).

Therefore, I find it safe to conclude that the original statement is true-- The original statement being:

"Given that the same force acts on particle A and B, If object B covers the same distance in less time than particle A, object B is less massive than object A".

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# Newton's second law

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