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## Homework Statement

Two cardboard boxes full of books are in contact with each other on a friction less table.Box H has twice the mass of Box G. If you push on box G with a horizontal force F, then box H will experience a net force of?

**2. The attempt at a solution**

*Let book G's mass be =*

Then book H's mass is =

Let the force applied on book g (

Now since the block will start moving with a velocity of

**m**Then book H's mass is =

**2m**

Let the force applied on book g (

**push)**be**F.**

Then,F =Then,

**m**a -| From second law of motionNow since the block will start moving with a velocity of

**at**(Where T is time).**Now using the first equation of motion: v = u + at, (where u = 0)**

at = c(t)

Where C is a variable for acceleration of the body.

This implies as

**a = c.**

Thus the body G has a mass of

**m**and acceleration of

**c = a.**

Hence the force applied on

**Book H**

ma = 2m

ma = 2m

**a**_{2}Where

**a**is the acceleration attained by book

_{2}**H**

The answer given is

**2/3 F**please explain all steps clearly,

Thanks