Answer:
The greatest horizontal force that can be exerted without moving the table is 168.56N.
Explanation:
The maximum friction force is determined from the coefficient of static friction as follows:
[tex]F_{fr}=\mu\cdot F_{norm} = 0.43\cdot F_{norm}[/tex]
where the the normal force is exerted by the ground as a reaction to the weight of the table, and has same magnitude as but opposite direction to the gravitational force on the table:
[tex]F_{fr} = 0.43\cdot 40kg\cdot 9.8 \frac{m}{s^2} = 168.56 N[/tex]
This is the maximum static force, so the friction force will be matching and opposing any horizontal force up to 168.56N.
The greatest horizontal force that could be exerted on the table while it remains stationary is 168.56 N.
We'll begin by calculating the normal reaction. This can be obtained as follow:
N = mg
N = 40 × 9.8
N = 392 N
Finally, we shall determine the frictional force.
F = μN
F = 0.43 × 392
F = 168.56 N
Therefore, the greatest horizontal force that could be exerted on the table is 168.56 N
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