Question

A force of F newtons will give an object with a mass of M an acceleration of A. The same force will give a mass of 2M an acceleration of:

1) A/2
2) 2A
3) A
4) A/4

Answer 1

A force F gives an object with mass M an acceleration A, so for a mass of 2M the acceleration would be A/2 due to Newton's second law, F = ma.

Step-by-step explanation:

The student is asking about the relationship between force, mass, and acceleration according to Newton's second law of motion. The law states that the force (F) on an object is equal to the mass (m) of the object multiplied by its acceleration (a); mathematically, this is expressed as F = ma. If a force F gives an object with mass M an acceleration of A, the same force applied to an object with mass 2M will give it an acceleration of A/2, because the mass has doubled while the force has remained the same. Therefore, the answer to the student's question is option 1) A/2.