Given two masses:
m1 and m2
Where:
m1 is greater than m2.
If the two masses slides down a rough inclined surface of the same length and inclination, let's determine which of the masses would be first to get to the bottom.
Applying the Newton's second law:
On a plane surface, the normal force is the product of the mass and the gravity.
The frictional force can be said to be directly proportional to the mass.
Hence, we can say if an object is sliding through an inclined plane, the mass of the object will not affect the speed of the object.
Since the mass does not affect the speed, therefore, both masses m1 and m2 will get to the bottom at the same time.
ANSWER:
Both masses will get to the bottom at the same time.