When a constant force is applied to an object, the acceleration of the object varies inversely with its mass. When a certain constant force acts upon an object with mass

22 kg
, the acceleration of the object is
2 /ms2
. When the same force acts upon another object, its acceleration is
11 /ms2
. What is the mass of this object?

1 answer

Using the formula for acceleration with a constant force:

a = F/m

We can set up a proportion between the accelerations and masses of the two objects:

2/22 = 11/m

Simplifying, we can cross-multiply to get:

2m = 242

Dividing by 2 on both sides:

m = 121

Therefore, the mass of the second object is 121 kg.