- #1
alpha372
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Homework Statement
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"
Homework Equations
net force = mass(acceleration)
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".