Answer:
3633 N
Explanation:
When the box is lift upward, there are only two forces acting on it:
- The force of push, F, upward
- The force of gravity, downward, which is the weight of the object:
W = 2000 N
So, the equation of motion for the box is
[tex]F-W = ma[/tex]
where
m is the mass of the object
a is its acceleration
The mass can be found from the weight of the box:
[tex]m=\frac{W}{g}=\frac{2000}{9.8}=204.1 kg[/tex]
Where g = 9.8 m/s^2 is the acceleration of gravity, and the acceleration is
[tex]a=8 m/s^2[/tex]
So, we can solve for F, the force required:
[tex]F=mg+ma=m(g+a)=(204.1)(9.8+8)=3633 N[/tex]
