Connect Net Force, Mass, and Acceleration

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Find the net force before using F = ma. For positive mass, a = F/m. Opposing forces subtract; forces in the same direction add. These questions use magnitudes unless a direction is explicitly requested.

Worked example

A 3 kg cart has 14 N right and 2 N left. Its net force is 12 N right, so its acceleration is 12/3 = 4 meters per second squared to the right.

1. A 5 kg cart has a net force of 20 N. What is its acceleration in meters per second squared? Answer

2. A 6 kg object accelerates at 3 meters per second squared. What net force acts on it, in newtons? Answer

3. A 4 kg cart has 18 N right and 6 N left. What is its acceleration magnitude in meters per second squared? Answer

4. If mass doubles while net force stays the same, what happens to acceleration? It doubles It halves It stays unchanged

5. An object moves with constant velocity in this model. What is its net force? Zero A forward force must exceed all others Mass multiplied by speed