Answer: 255N
Step-by-step explanation:
Given the following :
Applied force (F) = 255N
Mass (M) of the body = 68kg
Coefficient of static friction (Us) = 0.7
Recall:
Us = frictional force / normal reaction(N)
Normal reaction( N) = mass × acceleration due to gravity
N = mg = 68 × 9.8m/s^2 = 666.4N
Therefore,
Frictional force = coefficient of static friction × normal reaction
Frictional force = 0.7 × 666.4 = 466.5N.
In other for the body to move, the minimum applied force must be greater than the frictional force in other to overcome the force of friction.
Here, the force applied on the object is equal to the force of static friction which is less than the frictional force.
255N = force of static friction.