Answer:
The object will have an upward acceleration
Step-by-step explanation:
Let's consider the forces applied on the box. We have only two forces:
- The applied force of push,
, downward
- The force of gravity,
, (also known as weight of the object), downward
Therefore, the net force on the box is:
![F_(net)=F_p -W](https://img.qammunity.org/2021/formulas/physics/middle-school/lkefno2knmvxq4h0s6i3wafs7dm66sp2b1.png)
Here, we know that force applied is equal or greater than the weight, so
![F_p \geq W](https://img.qammunity.org/2021/formulas/physics/middle-school/ed00sor14dwux4o9db1sb0934rmqxsogdn.png)
And therefore the net force is greater than zero:
(1)
According to Newton's second law of motion, the net force on the box is equal to the product between its mass and its acceleration:
![F_(net)=ma](https://img.qammunity.org/2021/formulas/physics/high-school/11irvb99rpiabbu2yxl1ix9zxa83cv93dm.png)
where
m is the mass of the box
a is its acceleration
Given (1), this means that
![a\geq 0](https://img.qammunity.org/2021/formulas/physics/middle-school/b6202eh7nbv7bb92rzntbj6ut8b1162k5s.png)
Therefore, the box will have an upward acceleration.
In this case force example we have:
![F_p = 100 N\\W = 40 N](https://img.qammunity.org/2021/formulas/physics/middle-school/6qmr98ssb9iywiugcqgst4nuht6e5bovx1.png)
So the mass of the box is
![m=(W)/(g)=(40)/(10)=4 kg](https://img.qammunity.org/2021/formulas/physics/middle-school/boune5gejz9jyxih4vtxbdepizmate4i11.png)
So the net force is
![F_(net)=F_p-W=100-40=60 N](https://img.qammunity.org/2021/formulas/physics/middle-school/j8z4vyjgdmfuu2zxrikobat2s51ms0smrz.png)
And the acceleration is
![a=(F_(net))/(m)=(60)/(4)=15 m/s^2](https://img.qammunity.org/2021/formulas/physics/middle-school/x7yaez776sfz559ezdbai4hh22hzzgvion.png)