A 12kg box of fruit needs to be moved to the other side of the warehouse. (a) Calculate the minimum force

required to get the box moving if Ms = 0.47? (b) If the force from (a) is constant and continues to push the box,

how fast will the box accelerate if ux=0.33?

Respuesta :

A) The minimum force  required to get the box moving is; F_min = 55.272 N

B) The acceleration of the box if μ_k = 0.33 is; a = 13.96 m/s²

A) We are told that a 12kg box of fruit is to be moved to the other side of the warehouse.

We are given coefficient of static friction; μ_s = 0.47

Formula to get the minimum force is;

F_min = μ_s*mg

F_min = 0.47 * 12 * 9.8

F_min = 55.272 N

B) We are told the force that pushed the box is now constant. This means that;

F_min = μ_k*F_n

where F_n is normal force = ma

a is acceleration

We are given; coefficient of kinetic friction; μ_k = 0.33

Thus;

55.272 = 0.33 * 12a

a = 55.272/(0.33 * 12)

a = 13.96 m/s²

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