The acceleration of the box is [tex]2.45 m/s^2[/tex]
Explanation:
The weight of the box is given by:
[tex]W=mg[/tex]
where here we have
W = 20 N is its weight
m is the mass of the box
[tex]g=9.8 m/s^2[/tex] is the acceleration of gravity
Solving for m, we find the mass of the box:
[tex]m=\frac{W}{g}=\frac{20}{9.8}=2.04 kg[/tex]
Now we can apply Newton's second law, which states that the net force on the box is equal to the product between its mass and its acceleration:
[tex]F=ma[/tex]
where:
F = 5 N is the force applied to the box
m = 2.04 kg is the mass
a is the acceleration
Solving for a, we find:
[tex]a=\frac{F}{m}=\frac{5}{2.04}=2.45 m/s^2[/tex]
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