If I'm given the applied force of an object, the normal force, and the acceleration, how do I find the mass?

Force = (mass) x (acceleration)
Mass = (force) / (acceleration)
The mass of the object is . . .
(force in the direction of acceleration) / (acceleration in that direction) .
If the normal force isn't in the direction of motion, then it isn't involved in the acceleration, and it can be ignored.
(In more-complicated problems, the normal force might produce a friction force along the direction of motion, and that would get involved with the applied force.)

Answered by AL2006 | 2024-06-10

To find the mass of an object given the applied force and acceleration, use Newton's second law: m = a F n e t ​ ​ . Identify the net force acting on the object, which may include the applied force minus any opposing forces like friction. Substitute your values into the equation to calculate the mass.
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Answered by AL2006 | 2024-11-12