Example #$6$

$4$ Tonathan, or Tony, is playing with his favorite box, Carl, which he pushes. "Carl" has a mass of $10-$kg$.$ If the box starts at rest and goes $25$ m $,$ reaching a speed of $6\frac{m}{s},($ignoring friction$).$

With how much force did Tony push on "Carl"?

Example #$7$

Tony is having so much fun that he invites his other box friends to come play with them. Tony pushes them with a force of $50$ N and the boxes start to accelerate at $1\mathrm{.}3\frac{m}{s^2}($ignoring friction$).$

If one of the boxes has a mass of $22\mathrm{.}6$ kg $,$ what is the mass of the other box?

Explain how the acceleration would change if the unknown mass was less than what was calculated

Example #$8$

Billy notices how much fun Tony is having and decides to join him. They both simultaneously start pushing a $5$ kg boxin opposite directions. If Billy pushes with a force of $16$ N and the box accelerates toward him at $1\mathrm{.}25\frac{m}{s^2},$

$($A$)$ Which person pushes with more force? Justify your response.

$($B$)$ What is the magnitude of the force Tony is pushing?