Final answer:
A force greater than 18.228 N is required to move the object when taking into account the coefficient of static friction and the object's weight.
Step-by-step explanation:
To determine the amount of force needed to move an object, we use the concept of static friction.
The static friction force (fs) is the force that must be overcome to start moving the object and is calculated by multiplying the coefficient of static friction (μs) by the normal force (N), which is equal to the weight of the object (w). The formula is fs = μs × N.
In this case, the weight of the object (w) can be calculated using the equation w = m × g, where m is the mass of the object and g is the acceleration due to gravity (9.8 m/s2).
With a mass of 12.4 kg, the weight of the object is w = 12.4 kg × 9.8 m/s2
= 121.52 N.
The static friction force can then be calculated as fs = μs × N
= 0.15 × 121.52 N
= 18.228 N.
Therefore, a force greater than 18.228 N is required to move the object.