Two rubber bands pulling on an object cause it to accelerate at

1.2 m/s².

a. What will be the object’s acceleration if it is pulled by four

rubber bands?

b. What will be the acceleration of two of these objects glued

together if they are pulled by two rubber bands?

here given that when Two rubber bands pulling on an object which cause it to accelerate at

1.2 m/s² then asked two different situation first one is if four rubber band pulling the object that What will be the object’s acceleration. and second one is that when two of these objects glued together if they are pulled by two rubber bands what will be the acceleration.

a)

here assume that the mass is constant or bands have no mass which means bends are identical and apply same force to object.

Then use the Newton second law which say that force is directly proportional to the acceleration.

$F=ma$

Consider the force applied by four rubber bands is 2k N

$$\begin{gathered} 2F=ma \\ a=2F \end{gathered}$$

Hence, for the four rubber bands acceleration will be double

b)

consider that newton second law which say that force is directly proportional to acceleration, consider that the force is same as two rubber bands acceleration but the mass of the objects is double

$$\begin{gathered} F=ma \\ a=\frac{F}{m} \\ a=\frac{F}{2m} \\ whichmeansthataccelerationishalved \end{gathered}$$

Therefor, acceleration is halved when object glued together .