How does the acceleration of a cart depend on the total mass if the net force is constant?

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mwmovr40 eNotes educator| Certified Educator

By Newton's Second Law, the acceleration of an object is proportional to the net force and inversely proportional to the mass:

a = Fnet/m

If Fnet is a constant, then as m increases a will decrease and as m decreases a will increase proportionally.  That is, doubling the mass cuts the acceleration in half.  Halving the mass doubles the acceleration.