Answer:
F = 80.1 N
Explanation:
The force applied on the box must at least be equal to the frictional force of elevator floor on the box. Therefore,
F = μR ------- equation (1)
where,
F = Force applied on box
μ = coefficient of kinetic friction between box and elevator floor = 0.35
R = Normal Reaction = Weight of box and its contents = W
In this case since, the elevator is moving upward with constant acceleration. Therefore, the weight will be given as:
W = m(g + a)
where,
m = mass of box and contents = 29 kg
g = 9.8 m/s²
a = upward acceleration of elevator = 1.91 m/s²
Therefore,
W = R = (29 kg)(9.8 m/s² - 1.91 m/s²)
R = 228.81 N
Therefore, using values in equation (1), we get:
F = (0.35)(288.81 N)
F = 80.1 N