20 cubic inches of a gas with an absolute pressure of 5 psi is compressed until its pressure reaches 10 psi. what is the new volume of the gas? (assume that there's no change in temperature.)
a. 100 cubic inches
b. 40 cubic inches
c. 10 cubic inches
d. 5 cubic inches end of exam

The correct answer is C.

We will use Boyle's law that states that for a fixed amount of an ideal gas kept at a fixed temperature, pressure and volume are inversely proportional. 

P1 V1 = P2 V2

Where

 P1 is initial pressure = 5 psi

V1 is initial volume = 20 cubic inch

P2 is final pressure = 10 psi

V2 is final volume = unknown

V2 = P1,V1 / P2

V2 = 20 × 5 / 10

V2 = 100/10

V2 = 10 cubic inches

the box does not move because you need to use a force greater than 300 n. you are only using 50 n. it needs to at least be 301 n for the box to move because then it is an unbalanced force and it will move the way that the greater force is pushing it. if you use only 300 n it will be a balanced force and will not move because the force you are exerting on the   box is the same as its force.

hope this !

im sorry if i went too in depth, i am going to include a link to a video on khan academy that will explain this.   hope that you like the video and that it explains more in detail to you.

that is the link.