Final answer:
The maximum static frictional force acting on a 5 kg box on the ground is calculated to be 19.6 N. Since the applied force of 50 N is greater than this maximum static frictional force, the box will move.
Step-by-step explanation:
To determine if a 5 kg box will move when a force of 50 N is applied, we need to calculate the static friction that exists between the box and the ground. The maximum static frictional force (fs,max) can be calculated using the formula fs,max = μs × N, where μs is the coefficient of static friction and N is the normal force. In this case, with μs being 0.4 and the normal force (N) equal to the weight of the box (mass × gravity), N = 5 kg × 9.8 m/s2.
The calculated maximum static frictional force would be fs,max = 0.4 × (5 × 9.8) = 19.6 N. Since the applied force of 50 N exceeds the maximum static friction of 19.6 N, the box will indeed move.
The applied force is strong enough to overcome the static friction and set the box in motion. The calculation shows an applied force greater than the maximum static frictional force, confirming that the force will start the movement of the box.