Respuesta :
Answer:
To determine whether the box will move, we need to compare the force applied to the box (15 N) with the maximum static friction force that can be exerted on the box.
The maximum static friction force (Ff_max) can be calculated using the equation:
Ff_max = μ * N
where μ is the coefficient of friction and N is the normal force.
In this case, the normal force (N) is equal to the weight of the box since it is on a horizontal table and there is no vertical acceleration. The weight (W) can be calculated using the equation:
W = m * g
where m is the mass of the box (5 kg) and g is the acceleration due to gravity (approximately 9.8 m/s^2).
Therefore, the normal force N = 5 kg * 9.8 m/s^2 = 49 N.
Now we can calculate the maximum static friction force:
Ff_max = 0.4 * 49 N = 19.6 N
The maximum static friction force is 19.6 N. Since the applied force of 15 N is less than the maximum static friction force, the box will not move. The static friction will counteract the applied force and keep the box in place.
