If a constant force acts on two objects of different masses, which statement best describes their acceleration according to the second law of motion?

Correct Option: The object with smaller mass will have greater acceleration.

Explanation:
According to Newton's Second Law of Motion, the net force acting on an object is equal to the product of its mass and its acceleration. This relationship is expressed mathematically as:

$F=m·a$

where:
- $F$ is the applied force,
- $m$ is the mass of the object, and
- $a$ is the acceleration.

Rearranging the formula to solve for acceleration ($a$), we get:

$a=\frac{F}{m}$

When a constant force ($F$) acts on two objects of different masses, acceleration ($a$) becomes inversely proportional to mass ($m$).

$a\propto \frac{1}{m}$

This inverse relationship implies that:
1. An object with a larger mass ($m$) will experience a smaller acceleration ($a$).
2. An object with a smaller mass ($m$) will experience a greater acceleration ($a$).

Therefore, when the same force is applied to both objects, the object with the smaller mass will accelerate more rapidly.