According to Newton's second law of motion, the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. The equation for this relationship is:
F = ma
Where: F = Net force acting on the object m = Mass of the object a = Acceleration of the object
If we consider a scenario where the initial velocity of an object remains constant and only the mass is doubled, the net force acting on the object will remain the same (assuming no other forces are involved). In this case, the equation can be rewritten as:
F = (m * 2)a
Since the net force is unchanged, we can equate the two equations:
ma = (m * 2)a
By canceling the "a" terms on both sides, we get:
m = 2m
This equation implies that the mass on the left side of the equation is equal to twice the mass on the right side. However, since the mass of the object is doubled while the net force remains constant, the acceleration will be halved. In other words, doubling the mass while keeping the initial velocity constant will result in half the acceleration compared to the original scenario.