Answer:

Explanation:
We need to find the acceleration of the 2 kilogram object. Let's complete this in 2 steps.
<h3>1. Force of 1st Object </h3>
First, we can find the force of the first, 8 kilogram object.
According to Newton's Second Law of Motion, force is the product of mass and acceleration.

The mass of the object is 8 kilograms and the acceleration is 1.6 meters per square second.
Substitute these values into the formula.

Multiply.

<h3>2. Acceleration of the 2nd Object </h3>
Now, use the force we just calculated to complete the second part of the problem. We use the same formula:

This time, we know the force is 12.8 kilograms meters per square second and the mass is 2 kilograms.
Substitute the values into the formula.

Since we are solving for the acceleration, we must isolate the variable (a). It is being multiplied by 2 kg. The inverse of multiplication is division. Divide both sides of the equation by 2 kg.


The units of kilograms cancel.


The acceleration is 6.4 meters per square second.